Algorithm 682 swMATH ID: 8369 Software Authors: Murli, A.; Rizzardi, M. Description: Algorithm 682: Talbot’s method for the Laplace inversion problem. We describe a FORTRAN implementation, and some related problems, of Talbot’s method which numerically solves the inversion problem of almost arbitrary Laplace transforms by means of special contour integration. The basic idea is to take into account computer precision to derive a special contour where integration will be carried out. Homepage: http://dl.acm.org/citation.cfm?id=78932 Keywords: complex inversion formula; trapezoidal rule; inverse Laplace transform Related Software: Algorithm 662; Algorithm 368; Algorithm 796; Matlab; ReLaTIve; CUDA; Mathematica; Talbot Suite; Algorithm 619; PETSc; MPICH2; Symbolic Math Toolbox; Maple; LaurentCoeffs; bvptwp.m; twpbvp; Talbot Suite DE; DLMF; acunumweeks; Algorithm 528 Cited in: 26 Documents all top 5 Cited by 45 Authors 4 Rizzardi, Mariarosaria 3 D’Amore, Luisa 3 Murli, Almerico 3 Sheen, Dongwoo 2 Abate, Joseph 2 Mishra, Vinod Kumar 2 Rani, Dimple 2 Weideman, J. André C. 2 Whitt, Ward 1 Alsayyed, Omar 1 Antonelli, Laura 1 Awawdeh, Fadi 1 Brio, Moysey 1 Brzeziński, Dariusz W. 1 Cain, Jon 1 Campagna, Rosanna 1 Cattani, Carlo 1 Corsaro, Stefania 1 den Iseger, Peter 1 Dingfelder, Benedict 1 Dinh Thanh Duc 1 Dostert, Paul 1 Douglas, Craig C. 1 Gil, Amparo 1 Gu, Yuesheng 1 Jaradat, Husein M. M. 1 Jaradat, Mohammed M. M. 1 Kano, Patrick O. 1 Kawakatsu, Hiroyuki 1 Kim, Imbunm 1 Lee, Hyoseop 1 Lee, Jinwoo 1 Marino, Zelda 1 Mele, Valeria 1 Mustafa, Zead 1 Ostalczyk, Piotr 1 Saad, Elsayed I. 1 Segura, Javier 1 Stpiczyński, Przemysław 1 Temme, Nico M. 1 Vainchtein, Anna 1 Vu Kim Tuan 1 Wang, Tongke 1 Zhang, Zhiyue 1 Zhen, Yubao all top 5 Cited in 19 Serials 3 ACM Transactions on Mathematical Software 3 Numerical Algorithms 2 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Ricerche di Matematica 1 Queueing Systems 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational Economics 1 SIAM Journal on Scientific Computing 1 INFORMS Journal on Computing 1 Computing and Visualization in Science 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Probability in the Engineering and Informational Sciences 1 International Journal of Numerical Analysis and Modeling 1 Journal of Nonlinear Science and Applications 1 Symmetry all top 5 Cited in 12 Fields 22 Numerical analysis (65-XX) 17 Integral transforms, operational calculus (44-XX) 3 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year