A new four stages symmetric two-step method with vanished phase-lag and its first derivative for the numerical integration of the ... View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-05

AUTHORS

Minjian Liang, T. E. Simos

ABSTRACT

In this paper a four stages symmetric two-step method with vanished phase-lag and its first derivative with high algebraic order is developed for the first time in the literature. More pricesly in this paper the following are presented: (1) the phase-lag analysis for the construction of the new high algebraic order method, (2) the construction of the new method, (3) the error analysis based on the radial Schrödinger equation, (4) the interval of periodicity analysis and the stability analysis, (5) a new error estimation procedure based on the phase-lag (6) the numerical tests for the study of the efficiency of the new obtained method which are based on the numerical solution of the Schrödinger equation. More... »

PAGES

1187-1211

References to SciGraph publications

  • 2015-05. A Runge–Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 1991-03. A four-step phase-fitted method for the numerical integration of second order initial-value problems in BIT NUMERICAL MATHEMATICS
  • 1984-06. Phase properties of high order, almostP-stable formulae in BIT NUMERICAL MATHEMATICS
  • 2015-02. A predictor–corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2014-03. A Runge–Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2009-08. Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2010-08. Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2015-08. A high algebraic order predictor–corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2010-06. Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation in ACTA APPLICANDAE MATHEMATICAE
  • 2014-09. A family of explicit linear six-step methods with vanished phase-lag and its first derivative in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2012-05. High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2016-08. An optimized two-step hybrid block method for solving general second order initial-value problems in NUMERICAL ALGORITHMS
  • 2003-09. Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions in NUMERICAL ALGORITHMS
  • 1969-05. Stabilization of Cowell's method in NUMERISCHE MATHEMATIK
  • 2014-03. An explicit four-step method with vanished phase-lag and its first and second derivatives in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2015-09. Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2013-01. New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. Part I: Construction and theoretical analysis in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2015-11. A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 1972-02. Chebyshevian multistep methods for ordinary differential equations in NUMERISCHE MATHEMATIK
  • 2014-10. A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2009-10. A new Numerov-type method for the numerical solution of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2015-09. A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation in JOURNAL OF MATHEMATICAL CHEMISTRY
  • 2013-08. A new optimized symmetric 8-step semi-embedded predictor–corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems in JOURNAL OF MATHEMATICAL CHEMISTRY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10910-016-0615-x

    DOI

    http://dx.doi.org/10.1007/s10910-016-0615-x

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1038089228


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0905", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Civil Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Guangdong Province Special Equipment Testing and Research Institute Zhuhai Testing Institute", 
              "id": "https://www.grid.ac/institutes/grid.495346.9", 
              "name": [
                "School of Information Engineering, Changan University, 710064, Xi\u2019an, People\u2019s Republic of China", 
                "Guangdong Special Equipment Inspection and Research Institute Branch of Zhuhai, 519002, Zhuhai, People\u2019s Republic of China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Liang", 
            "givenName": "Minjian", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Peloponnese", 
              "id": "https://www.grid.ac/institutes/grid.36738.39", 
              "name": [
                "Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, 11451, Riyadh, Saudi Arabia", 
                "Laboratory of Computational Sciences, Department of Informatics and Telecommunications, Faculty of Economy, Management and Informatics, University of Peloponnese, 221 00, Tripolis, Greece", 
                "10 Konitsis Street, Amfithea - Paleon Faliron, 175 64, Athens, Greece"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Simos", 
            "givenName": "T. E.", 
            "id": "sg:person.07670670614.46", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07670670614.46"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/0010-4655(85)90100-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000413277"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.camwa.2011.09.025", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002701044"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0898-1221(03)80036-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002761662"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0898-1221(03)80036-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002761662"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-015-0545-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004939853", 
              "https://doi.org/10.1007/s10910-015-0545-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2004.06.012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006215267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-014-0364-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006300696", 
              "https://doi.org/10.1007/s10910-014-0364-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-008-9506-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006919757", 
              "https://doi.org/10.1007/s10910-008-9506-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1098/rspa.1963.0142", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007107402"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.camwa.2010.06.046", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008269861"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2015.04.038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009446414"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0377-0427(86)90224-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009725178"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(96)00156-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009811443"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/2013/910624", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010266502"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0010-4655(80)90062-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010592567"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2012.03.016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010971722"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.amc.2008.06.020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014253965"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0377-0427(90)90001-g", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014494518"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0010-4655(78)90047-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016434704"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0377-0427(87)90113-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016959457"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00479-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017378974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00479-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017378974"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-015-0502-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017820880", 
              "https://doi.org/10.1007/s10910-015-0502-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0021-9991(70)90037-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019200026"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-015-0522-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019597769", 
              "https://doi.org/10.1007/s10910-015-0522-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-015-0529-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019674697", 
              "https://doi.org/10.1007/s10910-015-0529-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-012-0074-y", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019853302", 
              "https://doi.org/10.1007/s10910-012-0074-y"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-013-0301-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021337421", 
              "https://doi.org/10.1007/s10910-013-0301-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2004.06.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022923627"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-014-0375-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022991149", 
              "https://doi.org/10.1007/s10910-014-0375-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01952791", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023156369", 
              "https://doi.org/10.1007/bf01952791"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01952791", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023156369", 
              "https://doi.org/10.1007/bf01952791"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1026167824656", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023320748", 
              "https://doi.org/10.1023/a:1026167824656"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11075-015-0081-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023408078", 
              "https://doi.org/10.1007/s11075-015-0081-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2004.06.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024175976"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0771-050x(80)90013-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024446346"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0771-050x(80)90013-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024446346"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2004.06.015", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025014011"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-010-9664-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025861097", 
              "https://doi.org/10.1007/s10910-010-9664-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-010-9664-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025861097", 
              "https://doi.org/10.1007/s10910-010-9664-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-015-0484-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025882825", 
              "https://doi.org/10.1007/s10910-015-0484-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-013-0296-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025991702", 
              "https://doi.org/10.1007/s10910-013-0296-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-013-0184-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026711623", 
              "https://doi.org/10.1007/s10910-013-0184-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.amc.2011.11.020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027828005"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/2012/420387", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029700468"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0010-4655(85)90117-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030002703"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-009-9553-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030082421", 
              "https://doi.org/10.1007/s10910-009-9553-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-009-9553-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030082421", 
              "https://doi.org/10.1007/s10910-009-9553-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00481-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032365855"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00481-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032365855"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0010-4655(02)00871-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032493706"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0010-4655(02)00871-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032493706"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.camwa.2011.04.046", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033009240"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00469-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034049086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00469-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034049086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.aml.2009.04.008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036631206"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.amc.2008.06.016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037337327"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.apnum.2009.05.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038728231"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.camwa.2011.06.058", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040961413"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0097-8485(96)00024-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041089157"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/2012/182536", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043096568"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00478-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043306197"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0377-0427(03)00478-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043306197"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10440-009-9513-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043888694", 
              "https://doi.org/10.1007/s10440-009-9513-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10440-009-9513-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043888694", 
              "https://doi.org/10.1007/s10440-009-9513-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10440-009-9513-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043888694", 
              "https://doi.org/10.1007/s10440-009-9513-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01937488", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045775116", 
              "https://doi.org/10.1007/bf01937488"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01937488", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045775116", 
              "https://doi.org/10.1007/bf01937488"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0927-0256(00)00112-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046185757"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0893-9659(04)90133-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051982992"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02163234", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052099910", 
              "https://doi.org/10.1007/bf02163234"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02163234", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052099910", 
              "https://doi.org/10.1007/bf02163234"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-011-9965-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052187614", 
              "https://doi.org/10.1007/s10910-011-9965-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.cam.2004.06.014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052354509"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10910-014-0449-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052833326", 
              "https://doi.org/10.1007/s10910-014-0449-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01395931", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052855720", 
              "https://doi.org/10.1007/bf01395931"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1731265", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057797669"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/115629", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058454208"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/imamat/18.2.189", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059684552"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/imanum/7.2.235", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059689226"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.12785/amis/070107", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064668275"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.12785/amis/070108", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064668276"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.12785/amis/070202", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064668323"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.12785/amis/080201", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064668738"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.12785/amis/080229", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064668766"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.4897864", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098506581"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-05", 
        "datePublishedReg": "2016-05-01", 
        "description": "In this paper a four stages symmetric two-step method with vanished phase-lag and its first derivative with high algebraic order is developed for the first time in the literature. More pricesly in this paper the following are presented: (1) the phase-lag analysis for the construction of the new high algebraic order method, (2) the construction of the new method, (3) the error analysis based on the radial Schr\u00f6dinger equation, (4) the interval of periodicity analysis and the stability analysis, (5) a new error estimation procedure based on the phase-lag (6) the numerical tests for the study of the efficiency of the new obtained method which are based on the numerical solution of the Schr\u00f6dinger equation.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s10910-016-0615-x", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1026076", 
            "issn": [
              "0259-9791", 
              "1572-8897"
            ], 
            "name": "Journal of Mathematical Chemistry", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "5", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "54"
          }
        ], 
        "name": "A new four stages symmetric two-step method with vanished phase-lag and its first derivative for the numerical integration of the Schr\u00f6dinger equation", 
        "pagination": "1187-1211", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "b572161ca8cd124046377d8909788327769cdecf59e32af75f13e7c232185e85"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10910-016-0615-x"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1038089228"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10910-016-0615-x", 
          "https://app.dimensions.ai/details/publication/pub.1038089228"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T16:43", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8669_00000514.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs10910-016-0615-x"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10910-016-0615-x'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10910-016-0615-x'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10910-016-0615-x'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10910-016-0615-x'


     

    This table displays all metadata directly associated to this object as RDF triples.

    312 TRIPLES      21 PREDICATES      99 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10910-016-0615-x schema:about anzsrc-for:09
    2 anzsrc-for:0905
    3 schema:author Nd6b1815e34bb4b6faef3815c17663fe2
    4 schema:citation sg:pub.10.1007/bf01395931
    5 sg:pub.10.1007/bf01937488
    6 sg:pub.10.1007/bf01952791
    7 sg:pub.10.1007/bf02163234
    8 sg:pub.10.1007/s10440-009-9513-6
    9 sg:pub.10.1007/s10910-008-9506-0
    10 sg:pub.10.1007/s10910-009-9553-1
    11 sg:pub.10.1007/s10910-010-9664-8
    12 sg:pub.10.1007/s10910-011-9965-6
    13 sg:pub.10.1007/s10910-012-0074-y
    14 sg:pub.10.1007/s10910-013-0184-1
    15 sg:pub.10.1007/s10910-013-0296-7
    16 sg:pub.10.1007/s10910-013-0301-1
    17 sg:pub.10.1007/s10910-014-0364-7
    18 sg:pub.10.1007/s10910-014-0375-4
    19 sg:pub.10.1007/s10910-014-0449-3
    20 sg:pub.10.1007/s10910-015-0484-8
    21 sg:pub.10.1007/s10910-015-0502-x
    22 sg:pub.10.1007/s10910-015-0522-6
    23 sg:pub.10.1007/s10910-015-0529-z
    24 sg:pub.10.1007/s10910-015-0545-z
    25 sg:pub.10.1007/s11075-015-0081-8
    26 sg:pub.10.1023/a:1026167824656
    27 https://doi.org/10.1016/0010-4655(78)90047-4
    28 https://doi.org/10.1016/0010-4655(80)90062-4
    29 https://doi.org/10.1016/0010-4655(85)90100-6
    30 https://doi.org/10.1016/0010-4655(85)90117-1
    31 https://doi.org/10.1016/0021-9991(70)90037-9
    32 https://doi.org/10.1016/0377-0427(86)90224-4
    33 https://doi.org/10.1016/0377-0427(87)90113-0
    34 https://doi.org/10.1016/0377-0427(90)90001-g
    35 https://doi.org/10.1016/0771-050x(80)90013-3
    36 https://doi.org/10.1016/j.amc.2008.06.016
    37 https://doi.org/10.1016/j.amc.2008.06.020
    38 https://doi.org/10.1016/j.amc.2011.11.020
    39 https://doi.org/10.1016/j.aml.2009.04.008
    40 https://doi.org/10.1016/j.apnum.2009.05.004
    41 https://doi.org/10.1016/j.cam.2004.06.004
    42 https://doi.org/10.1016/j.cam.2004.06.012
    43 https://doi.org/10.1016/j.cam.2004.06.013
    44 https://doi.org/10.1016/j.cam.2004.06.014
    45 https://doi.org/10.1016/j.cam.2004.06.015
    46 https://doi.org/10.1016/j.cam.2012.03.016
    47 https://doi.org/10.1016/j.cam.2015.04.038
    48 https://doi.org/10.1016/j.camwa.2010.06.046
    49 https://doi.org/10.1016/j.camwa.2011.04.046
    50 https://doi.org/10.1016/j.camwa.2011.06.058
    51 https://doi.org/10.1016/j.camwa.2011.09.025
    52 https://doi.org/10.1016/s0010-4655(02)00871-8
    53 https://doi.org/10.1016/s0097-8485(96)00024-1
    54 https://doi.org/10.1016/s0377-0427(03)00469-2
    55 https://doi.org/10.1016/s0377-0427(03)00478-3
    56 https://doi.org/10.1016/s0377-0427(03)00479-5
    57 https://doi.org/10.1016/s0377-0427(03)00481-3
    58 https://doi.org/10.1016/s0377-0427(96)00156-2
    59 https://doi.org/10.1016/s0893-9659(04)90133-4
    60 https://doi.org/10.1016/s0898-1221(03)80036-6
    61 https://doi.org/10.1016/s0927-0256(00)00112-9
    62 https://doi.org/10.1063/1.1731265
    63 https://doi.org/10.1063/1.4897864
    64 https://doi.org/10.1086/115629
    65 https://doi.org/10.1093/imamat/18.2.189
    66 https://doi.org/10.1093/imanum/7.2.235
    67 https://doi.org/10.1098/rspa.1963.0142
    68 https://doi.org/10.1155/2012/182536
    69 https://doi.org/10.1155/2012/420387
    70 https://doi.org/10.1155/2013/910624
    71 https://doi.org/10.12785/amis/070107
    72 https://doi.org/10.12785/amis/070108
    73 https://doi.org/10.12785/amis/070202
    74 https://doi.org/10.12785/amis/080201
    75 https://doi.org/10.12785/amis/080229
    76 schema:datePublished 2016-05
    77 schema:datePublishedReg 2016-05-01
    78 schema:description In this paper a four stages symmetric two-step method with vanished phase-lag and its first derivative with high algebraic order is developed for the first time in the literature. More pricesly in this paper the following are presented: (1) the phase-lag analysis for the construction of the new high algebraic order method, (2) the construction of the new method, (3) the error analysis based on the radial Schrödinger equation, (4) the interval of periodicity analysis and the stability analysis, (5) a new error estimation procedure based on the phase-lag (6) the numerical tests for the study of the efficiency of the new obtained method which are based on the numerical solution of the Schrödinger equation.
    79 schema:genre research_article
    80 schema:inLanguage en
    81 schema:isAccessibleForFree false
    82 schema:isPartOf N6c25cdc9ac8348d9897389e7e9969bd5
    83 N773c3e90b64543019694e397b3b5b48d
    84 sg:journal.1026076
    85 schema:name A new four stages symmetric two-step method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation
    86 schema:pagination 1187-1211
    87 schema:productId N7e6168f380774feaa5d85c296292f2c0
    88 Nb7f46d868c0f42a08a07043d8913956d
    89 Nfb3e751f481f460a9a5008ee03a49ec2
    90 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038089228
    91 https://doi.org/10.1007/s10910-016-0615-x
    92 schema:sdDatePublished 2019-04-10T16:43
    93 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    94 schema:sdPublisher N81b2fd7d2d234076b51398418ae88354
    95 schema:url http://link.springer.com/10.1007%2Fs10910-016-0615-x
    96 sgo:license sg:explorer/license/
    97 sgo:sdDataset articles
    98 rdf:type schema:ScholarlyArticle
    99 N4b3056bae5a34b649b3568c5d356513a rdf:first sg:person.07670670614.46
    100 rdf:rest rdf:nil
    101 N6c25cdc9ac8348d9897389e7e9969bd5 schema:volumeNumber 54
    102 rdf:type schema:PublicationVolume
    103 N773c3e90b64543019694e397b3b5b48d schema:issueNumber 5
    104 rdf:type schema:PublicationIssue
    105 N7e6168f380774feaa5d85c296292f2c0 schema:name doi
    106 schema:value 10.1007/s10910-016-0615-x
    107 rdf:type schema:PropertyValue
    108 N81b2fd7d2d234076b51398418ae88354 schema:name Springer Nature - SN SciGraph project
    109 rdf:type schema:Organization
    110 N8cea376834474dc6ad99b20ef18847f1 schema:affiliation https://www.grid.ac/institutes/grid.495346.9
    111 schema:familyName Liang
    112 schema:givenName Minjian
    113 rdf:type schema:Person
    114 Nb7f46d868c0f42a08a07043d8913956d schema:name dimensions_id
    115 schema:value pub.1038089228
    116 rdf:type schema:PropertyValue
    117 Nd6b1815e34bb4b6faef3815c17663fe2 rdf:first N8cea376834474dc6ad99b20ef18847f1
    118 rdf:rest N4b3056bae5a34b649b3568c5d356513a
    119 Nfb3e751f481f460a9a5008ee03a49ec2 schema:name readcube_id
    120 schema:value b572161ca8cd124046377d8909788327769cdecf59e32af75f13e7c232185e85
    121 rdf:type schema:PropertyValue
    122 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    123 schema:name Engineering
    124 rdf:type schema:DefinedTerm
    125 anzsrc-for:0905 schema:inDefinedTermSet anzsrc-for:
    126 schema:name Civil Engineering
    127 rdf:type schema:DefinedTerm
    128 sg:journal.1026076 schema:issn 0259-9791
    129 1572-8897
    130 schema:name Journal of Mathematical Chemistry
    131 rdf:type schema:Periodical
    132 sg:person.07670670614.46 schema:affiliation https://www.grid.ac/institutes/grid.36738.39
    133 schema:familyName Simos
    134 schema:givenName T. E.
    135 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07670670614.46
    136 rdf:type schema:Person
    137 sg:pub.10.1007/bf01395931 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052855720
    138 https://doi.org/10.1007/bf01395931
    139 rdf:type schema:CreativeWork
    140 sg:pub.10.1007/bf01937488 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045775116
    141 https://doi.org/10.1007/bf01937488
    142 rdf:type schema:CreativeWork
    143 sg:pub.10.1007/bf01952791 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023156369
    144 https://doi.org/10.1007/bf01952791
    145 rdf:type schema:CreativeWork
    146 sg:pub.10.1007/bf02163234 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052099910
    147 https://doi.org/10.1007/bf02163234
    148 rdf:type schema:CreativeWork
    149 sg:pub.10.1007/s10440-009-9513-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043888694
    150 https://doi.org/10.1007/s10440-009-9513-6
    151 rdf:type schema:CreativeWork
    152 sg:pub.10.1007/s10910-008-9506-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006919757
    153 https://doi.org/10.1007/s10910-008-9506-0
    154 rdf:type schema:CreativeWork
    155 sg:pub.10.1007/s10910-009-9553-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030082421
    156 https://doi.org/10.1007/s10910-009-9553-1
    157 rdf:type schema:CreativeWork
    158 sg:pub.10.1007/s10910-010-9664-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025861097
    159 https://doi.org/10.1007/s10910-010-9664-8
    160 rdf:type schema:CreativeWork
    161 sg:pub.10.1007/s10910-011-9965-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052187614
    162 https://doi.org/10.1007/s10910-011-9965-6
    163 rdf:type schema:CreativeWork
    164 sg:pub.10.1007/s10910-012-0074-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1019853302
    165 https://doi.org/10.1007/s10910-012-0074-y
    166 rdf:type schema:CreativeWork
    167 sg:pub.10.1007/s10910-013-0184-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026711623
    168 https://doi.org/10.1007/s10910-013-0184-1
    169 rdf:type schema:CreativeWork
    170 sg:pub.10.1007/s10910-013-0296-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025991702
    171 https://doi.org/10.1007/s10910-013-0296-7
    172 rdf:type schema:CreativeWork
    173 sg:pub.10.1007/s10910-013-0301-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021337421
    174 https://doi.org/10.1007/s10910-013-0301-1
    175 rdf:type schema:CreativeWork
    176 sg:pub.10.1007/s10910-014-0364-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006300696
    177 https://doi.org/10.1007/s10910-014-0364-7
    178 rdf:type schema:CreativeWork
    179 sg:pub.10.1007/s10910-014-0375-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022991149
    180 https://doi.org/10.1007/s10910-014-0375-4
    181 rdf:type schema:CreativeWork
    182 sg:pub.10.1007/s10910-014-0449-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052833326
    183 https://doi.org/10.1007/s10910-014-0449-3
    184 rdf:type schema:CreativeWork
    185 sg:pub.10.1007/s10910-015-0484-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025882825
    186 https://doi.org/10.1007/s10910-015-0484-8
    187 rdf:type schema:CreativeWork
    188 sg:pub.10.1007/s10910-015-0502-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1017820880
    189 https://doi.org/10.1007/s10910-015-0502-x
    190 rdf:type schema:CreativeWork
    191 sg:pub.10.1007/s10910-015-0522-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019597769
    192 https://doi.org/10.1007/s10910-015-0522-6
    193 rdf:type schema:CreativeWork
    194 sg:pub.10.1007/s10910-015-0529-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1019674697
    195 https://doi.org/10.1007/s10910-015-0529-z
    196 rdf:type schema:CreativeWork
    197 sg:pub.10.1007/s10910-015-0545-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1004939853
    198 https://doi.org/10.1007/s10910-015-0545-z
    199 rdf:type schema:CreativeWork
    200 sg:pub.10.1007/s11075-015-0081-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023408078
    201 https://doi.org/10.1007/s11075-015-0081-8
    202 rdf:type schema:CreativeWork
    203 sg:pub.10.1023/a:1026167824656 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023320748
    204 https://doi.org/10.1023/a:1026167824656
    205 rdf:type schema:CreativeWork
    206 https://doi.org/10.1016/0010-4655(78)90047-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016434704
    207 rdf:type schema:CreativeWork
    208 https://doi.org/10.1016/0010-4655(80)90062-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010592567
    209 rdf:type schema:CreativeWork
    210 https://doi.org/10.1016/0010-4655(85)90100-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000413277
    211 rdf:type schema:CreativeWork
    212 https://doi.org/10.1016/0010-4655(85)90117-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030002703
    213 rdf:type schema:CreativeWork
    214 https://doi.org/10.1016/0021-9991(70)90037-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019200026
    215 rdf:type schema:CreativeWork
    216 https://doi.org/10.1016/0377-0427(86)90224-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009725178
    217 rdf:type schema:CreativeWork
    218 https://doi.org/10.1016/0377-0427(87)90113-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016959457
    219 rdf:type schema:CreativeWork
    220 https://doi.org/10.1016/0377-0427(90)90001-g schema:sameAs https://app.dimensions.ai/details/publication/pub.1014494518
    221 rdf:type schema:CreativeWork
    222 https://doi.org/10.1016/0771-050x(80)90013-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024446346
    223 rdf:type schema:CreativeWork
    224 https://doi.org/10.1016/j.amc.2008.06.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037337327
    225 rdf:type schema:CreativeWork
    226 https://doi.org/10.1016/j.amc.2008.06.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014253965
    227 rdf:type schema:CreativeWork
    228 https://doi.org/10.1016/j.amc.2011.11.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027828005
    229 rdf:type schema:CreativeWork
    230 https://doi.org/10.1016/j.aml.2009.04.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036631206
    231 rdf:type schema:CreativeWork
    232 https://doi.org/10.1016/j.apnum.2009.05.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038728231
    233 rdf:type schema:CreativeWork
    234 https://doi.org/10.1016/j.cam.2004.06.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022923627
    235 rdf:type schema:CreativeWork
    236 https://doi.org/10.1016/j.cam.2004.06.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006215267
    237 rdf:type schema:CreativeWork
    238 https://doi.org/10.1016/j.cam.2004.06.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024175976
    239 rdf:type schema:CreativeWork
    240 https://doi.org/10.1016/j.cam.2004.06.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052354509
    241 rdf:type schema:CreativeWork
    242 https://doi.org/10.1016/j.cam.2004.06.015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025014011
    243 rdf:type schema:CreativeWork
    244 https://doi.org/10.1016/j.cam.2012.03.016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010971722
    245 rdf:type schema:CreativeWork
    246 https://doi.org/10.1016/j.cam.2015.04.038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009446414
    247 rdf:type schema:CreativeWork
    248 https://doi.org/10.1016/j.camwa.2010.06.046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008269861
    249 rdf:type schema:CreativeWork
    250 https://doi.org/10.1016/j.camwa.2011.04.046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033009240
    251 rdf:type schema:CreativeWork
    252 https://doi.org/10.1016/j.camwa.2011.06.058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040961413
    253 rdf:type schema:CreativeWork
    254 https://doi.org/10.1016/j.camwa.2011.09.025 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002701044
    255 rdf:type schema:CreativeWork
    256 https://doi.org/10.1016/s0010-4655(02)00871-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032493706
    257 rdf:type schema:CreativeWork
    258 https://doi.org/10.1016/s0097-8485(96)00024-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041089157
    259 rdf:type schema:CreativeWork
    260 https://doi.org/10.1016/s0377-0427(03)00469-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034049086
    261 rdf:type schema:CreativeWork
    262 https://doi.org/10.1016/s0377-0427(03)00478-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043306197
    263 rdf:type schema:CreativeWork
    264 https://doi.org/10.1016/s0377-0427(03)00479-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017378974
    265 rdf:type schema:CreativeWork
    266 https://doi.org/10.1016/s0377-0427(03)00481-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032365855
    267 rdf:type schema:CreativeWork
    268 https://doi.org/10.1016/s0377-0427(96)00156-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009811443
    269 rdf:type schema:CreativeWork
    270 https://doi.org/10.1016/s0893-9659(04)90133-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051982992
    271 rdf:type schema:CreativeWork
    272 https://doi.org/10.1016/s0898-1221(03)80036-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002761662
    273 rdf:type schema:CreativeWork
    274 https://doi.org/10.1016/s0927-0256(00)00112-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046185757
    275 rdf:type schema:CreativeWork
    276 https://doi.org/10.1063/1.1731265 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057797669
    277 rdf:type schema:CreativeWork
    278 https://doi.org/10.1063/1.4897864 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098506581
    279 rdf:type schema:CreativeWork
    280 https://doi.org/10.1086/115629 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058454208
    281 rdf:type schema:CreativeWork
    282 https://doi.org/10.1093/imamat/18.2.189 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059684552
    283 rdf:type schema:CreativeWork
    284 https://doi.org/10.1093/imanum/7.2.235 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059689226
    285 rdf:type schema:CreativeWork
    286 https://doi.org/10.1098/rspa.1963.0142 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007107402
    287 rdf:type schema:CreativeWork
    288 https://doi.org/10.1155/2012/182536 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043096568
    289 rdf:type schema:CreativeWork
    290 https://doi.org/10.1155/2012/420387 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029700468
    291 rdf:type schema:CreativeWork
    292 https://doi.org/10.1155/2013/910624 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010266502
    293 rdf:type schema:CreativeWork
    294 https://doi.org/10.12785/amis/070107 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064668275
    295 rdf:type schema:CreativeWork
    296 https://doi.org/10.12785/amis/070108 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064668276
    297 rdf:type schema:CreativeWork
    298 https://doi.org/10.12785/amis/070202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064668323
    299 rdf:type schema:CreativeWork
    300 https://doi.org/10.12785/amis/080201 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064668738
    301 rdf:type schema:CreativeWork
    302 https://doi.org/10.12785/amis/080229 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064668766
    303 rdf:type schema:CreativeWork
    304 https://www.grid.ac/institutes/grid.36738.39 schema:alternateName University of Peloponnese
    305 schema:name 10 Konitsis Street, Amfithea - Paleon Faliron, 175 64, Athens, Greece
    306 Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, 11451, Riyadh, Saudi Arabia
    307 Laboratory of Computational Sciences, Department of Informatics and Telecommunications, Faculty of Economy, Management and Informatics, University of Peloponnese, 221 00, Tripolis, Greece
    308 rdf:type schema:Organization
    309 https://www.grid.ac/institutes/grid.495346.9 schema:alternateName Guangdong Province Special Equipment Testing and Research Institute Zhuhai Testing Institute
    310 schema:name Guangdong Special Equipment Inspection and Research Institute Branch of Zhuhai, 519002, Zhuhai, People’s Republic of China
    311 School of Information Engineering, Changan University, 710064, Xi’an, People’s Republic of China
    312 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...