The Laguerre transform of a convolution product of vector-valued functions

DOI10.30970/MS.55.2.146-161zbMath1482.44011OpenAlexW3174291571MaRDI QIDQ2049578

A. O. Muzychuk

Publication date: 27 August 2021

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.55.2.146-161

zbMATH Keywords

Laplace transformconvolution productLaguerre seriesLaguerre transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Laplace transform (44A10) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

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• Solving of initial-boundary value problems for the wave equation using retarded surface potential and Laguerre transform
• Wave propagation from lateral Cauchy data using a boundary element method
• The bilateral Laguerre transform
• On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
• Convolution Quadrature for Wave Simulations
• Retarded Potentials and Time Domain Boundary Integral Equations

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