Numerical inversion of laplace transforms using contour methods
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Publication:4291051
DOI10.1080/00207169308804220zbMath0828.65142OpenAlexW2052699357MaRDI QIDQ4291051
Publication date: 5 May 1994
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207169308804220
ill-posed problemnumerical inversion of Laplace transformsBromwich contourautomatic contour setting procedurehigh precision oscillatory integrand methodspiecewise straight line segments
Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for ill-posed problems for integral equations (65R30)
Related Items (2)
Radial transport in a porous medium with Dirichlet, Neumann and Robin-type inhomogeneous boundary values and general initial data: analytical solution and evaluation ⋮ Laplace transform inversions using optimal contours in the complex plane
Cites Work
- Numerical inversion of the Laplace transform: a survey and comparison of methods
- A method for numerical integration on an automatic computer
- A bibliography on numerical inversion of the Laplace transform and applications
- Numerical inversion of the Laplace transform by accelerating the convergence of Bromwick's integral
- On high precision methods for the evaluation of Fourier integrals with finite and infinite limits
- Gaussian quadrature formulas for the numerica l integration of Bromwich's integral and the inversion of the Laplace transform
- Automatic generation of quadrature formulae for oscillatory integrals
- The use of Chebyshev series for the evaluation of oscillatory integrals
- The Accurate Numerical Inversion of Laplace Transforms
- Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
- Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials
- Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
- A New Numerical Method for the Inversion of the Laplace Transform
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