Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics

DOI10.1007/s10915-023-02175-9zbMath1516.65107arXiv2211.04690OpenAlexW4361209002MaRDI QIDQ6101549

Dan Ling, Zhiping Mao

Publication date: 20 June 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.04690

zbMATH Keywords

regularityerror estimateswell-posednessunbounded domainartificial reflectiondiffusive-viscous wave equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Seismology (including tsunami modeling), earthquakes (86A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive-viscous wave equation in unbounded domains

Cites Work

• Well-posedness of the diffusive-viscous wave equation arising in geophysics
• Local discontinuous Galerkin methods for diffusive-viscous wave equations
• Numerical analysis of the diffusive-viscous wave equation
• Strong Stability-Preserving High-Order Time Discretization Methods
• Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains
• Spectral Methods
• Error estimation of Hermite spectral method for nonlinear partial differential equations
• Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
• Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
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