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The Laplace transform and polynomial Trefftz method for a class of time dependent PDEs

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Publication:967884
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DOI10.1016/j.apm.2008.05.029zbMath1185.44002OpenAlexW1974481937MaRDI QIDQ967884

Weibin Kong, Xiong-Hua Wu

Publication date: 2 May 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2008.05.029


zbMATH Keywords

Laplace transformtime dependentTalbot's method


Mathematics Subject Classification ID

Laplace transform (44A10)




Cites Work

  • Unnamed Item
  • A meshless method for generalized linear or nonlinear Poisson-type problems
  • Multi-precision Laplace transform inversion
  • Application of the Trefftz method in plane elasticity problems
  • The Accurate Numerical Inversion of Laplace Transforms
  • A modification of Talbot's method for the simultaneous approximation of several values of the inverse Laplace transform
  • Polynomial particular solutions for certain partial differential operators
  • Optimizing Talbot’s Contours for the Inversion of the Laplace Transform
  • A method of solution for certain problems of transient heat conduction


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