Review of inverse Laplace transform algorithms for Laplace-space numerical approaches
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Publication:2376361
DOI10.1007/s11075-012-9625-3zbMath1269.65134arXiv1204.4754OpenAlexW2042084825MaRDI QIDQ2376361
Publication date: 21 June 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.4754
algorithmsnumerical examplesboundary element methodHelmholtz equationnumerical Laplace transform inversiongroundwater modelingFourier-series based inversion algorithmsLaplace-space numerical methodsLaplace-transformed diffusion equation
Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Numerical methods for integral transforms (65R10)
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Uses Software
Cites Work
- Numerical inversion of the Laplace transform: a survey and comparison of methods
- Laplace-transform analytic-element method for transient porous medium flow
- Application of Weeks method for the numerical inversion of the Laplace transform to the matrix exponential
- Numerical methods for Laplace transform inversion
- Multi-precision Laplace transform inversion
- A Modification of the Weeks Method for Numerical Inversion of the Laplace Transform
- An Improved Method for Numerical Inversion of Laplace Transforms
- The Accurate Numerical Inversion of Laplace Transforms
- On the numerical inversion of Laplace transforms
- Inversion of the laplace transform via post—widder formula
- Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform
- Numerical Inversion of Laplace Transforms Using Laguerre Functions
- A New Numerical Method for the Inversion of the Laplace Transform
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