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Algorithm 368: Numerical inversion of Laplace transforms [D5]
Open accessAbstract
We now prove separately the inequality for every term of the summation.Let us assume the thesis is wrong > ([(XLk+: --Xi,k) 2 + (yLk+: --yl.~)~]t "Jr [(X2.k+x--X2,k) 2 + (y2,k+l --Y2,k)2]t).
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Citations
Cited by
Haggerty, R. (1995) · Water Resources Research · doi:10.1029/95wr01583 · Cited by 851
Numerical inversion of the laplace transform: a survey and comparison of methods
Davies, B., & Martin, B. (1979) · Journal of Computational Physics · doi:10.1016/0021-9991(79)90025-1 · Cited by 668
Exponential analysis in physical phenomena
Istratov, A. A., & Vyvenko, O. F. (1999) · Review of Scientific Instruments · doi:10.1063/1.1149581 · Cited by 615
A Unified Framework for Numerically Inverting Laplace Transforms
Abate, J., & Whitt, W. (2006) · INFORMS Journal on Computing · doi:10.1287/ijoc.1050.0137 · Cited by 498
Superdiffusive heat conduction in semiconductor alloys. I. Theoretical foundations
Vermeersch, B., Carrete, J., Mingo, N., & Shakouri, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.085202 · Cited by 96
Metadata
- Authors
- Stehfest, H.
- Venue
- Communications of the ACM
- Published
- 1970-01
- Volume
- 13
- Issue
- 1
- Pages
- 47-49
- ISSN
- 0001-0782 (ISSN-L)
- 1557-7317
- OpenAlex
- W2057342974
- Cited by
- 3,622
- References
- 0
- FWCI
- 5.54
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Algorithm 368: Numerical inversion of Laplace transforms [D5]. https://app.cochat.ai/papers/10.1145/361953.361969
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- Stehfest, H. (1970). Algorithm 368: Numerical inversion of Laplace transforms [D5]. Communications of the ACM. https://doi.org/10.1145/361953.361969
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