Spectral Laguerre method for the approximate solution of time dependent problems

DOI10.1016/S0893-9659(99)00043-9zbMath0939.65114OpenAlexW2048635822MaRDI QIDQ1808501

B. G. Mikhailenko

Publication date: 13 July 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00043-9

zbMATH Keywords

algorithmsspectral methodacoustic wavesLaguerre methodLaguerre integral transform

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (12)

An operational matrix of fractional integration of the Laguerre polynomials and its application on a semi-infinite interval ⋮ The Laguerre finite difference one-way equation solver ⋮ On optimal convergence rates of Laguerre polynomial expansions for piecewise functions ⋮ The Laguerre spectral method for solving a one-dimensional dynamical problem of magneto-poroelasticity ⋮ High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm ⋮ An extra-component method for evaluating fast matrix-vector multiplication with special functions ⋮ APPLICATION OF THE INTEGRAL LAGUERRE TRANSFORMS FOR FORWARD SEISMIC MODELING ⋮ Simulation of the seismic wave propagation in porous media described by three elastic parameters ⋮ Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials ⋮ The stabilization of high-order multistep schemes for the Laguerre one-way wave equation solver ⋮ Laguerre-Galerkin methods with reduced sum-products ⋮ Generating the Laguerre expansion coefficients by solving a one-dimensional transport equation

Cites Work

• APPLICATION OF THE INTEGRAL LAGUERRE TRANSFORMS FOR FORWARD SEISMIC MODELING

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