Results 11 to 20 of about 284,284 (328)
Review of Inverse Laplace Transform Algorithms for Laplace-Space Numerical Approaches [PDF]
Numerical Algorithms, 63(2):339-355 (2013), 2012 A boundary element method (BEM) simulation is used to compare the efficiency of numerical inverse Laplace transform strategies, considering general requirements of Laplace-space numerical approaches. The two-dimensional BEM solution is used to solve the Laplace-transformed diffusion equation, producing a time-domain solution after a numerical Laplace ...
Kristopher Kuhlman
arxiv +2 more sources
Results in Physics, 2020 A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
doaj +2 more sources
Optimal Parallel Algorithm of Fast Inverse Laplace Transform for Electromagnetic Analysis [PDF]
IEEE Antennas and Wireless Propagation Letters, 2020 Fast inverse Laplace transform (FILT) is a simple and concise technique for performing inverse Laplace transforms. This letter develops an efficient parallel algorithm for FILT for solving various electromagnetic problems.
Di Wu +2 more
openalex +2 more sources
Simulation of buck converters via numerical inverse Laplace transform [PDF]
Workshop on Signal Propagation on Interconnects, 2017 This paper focuses on the application of the theory of periodically switched circuits and systems to the steady-state and transient analysis of switching power converters.
Riccardo Trinchero +2 more
openalex +2 more sources
Numerical inverse Laplace transform for convection-diffusion equations [PDF]
Mathematics of Computation, 2018 In this paper a novel contour integral method is proposed for linear convection-diffusion equations. The method is based on the inversion of the Laplace transform and makes use of a contour given by an elliptic arc joined symmetrically to two half-lines.
Nicola Guglielmi +2 more
openalex +3 more sources
Chemical and pharmaceutical bulletin, 1989 A nonlinear curve fitting program MULTI(FILT) into which the fast inverse Laplace transform (FILT) is incorporated was developed on a microcomputer. FILT is an algorithm for the numerical inversion of Laplace-transformed equations (image equations) to ...
Yoshitaka Yano +2 more
openalex +3 more sources
Exact solution to a class of problems for the Burgers’ equation on bounded intervals [PDF]
Partial Differential Equations in Applied MathematicsIn this study, we consider Burgers’ equation with fixed Dirichlet boundary conditions on generic bounded intervals. By employing the Hopf–Cole transformation and a recently established exact operational solution for linear reaction–diffusion equations ...
Kwassi Anani, Mensah Folly-Gbetoula
doaj +1 more source
Using inverse Laplace transform in positronium lifetime imaging
Physics in Medicine and Biology, 2022 Positronium (Ps) lifetime imaging is gaining attention to bring out additional biomedical information from positron emission tomography (PET). The lifetime of Ps in vivo can change depending on the physical and chemical environments related to some ...
K. Shibuya +3 more
semanticscholar +1 more source
Application of the Efros Theorem to the Function Represented by the Inverse Laplace Transform of s-μ exp(-sν) [PDF]
Symmetry, 2020 Using a special case of the Efros theorem which was derived by Wlodarski, and operational calculus, it was possible to derive many infinite integrals, finite integrals and integral identities for the function represented by the inverse Laplace transform.
Alexander Apelblatt, F. Mainardi
semanticscholar +1 more source
Molecules, 2022 The general expression is derived for the Laplace transform of the time-dependent transient electrophoretic mobility (with respect to time) of a spherical colloidal particle when a step electric field is applied.
Hiroyuki Ohshima
doaj +1 more source