Method of difference potentials for evolution equations with lacunas

DOI10.1134/S0965542520040144zbMath1450.35159OpenAlexW3034181103MaRDI QIDQ2207549

S. V. Petropavlovsky, Semyon V. Tsynkov

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040144

zbMATH Keywords

wave equationHuygens principlemethod of difference potentialslacunas

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)

Related Items (2)

Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators ⋮ 3D time-dependent scattering about complex shapes using high order difference potentials

Cites Work

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• A method of boundary equations for unsteady hyperbolic problems in 3D
• Compact high order accurate schemes for the three dimensional wave equation
• Method of Difference Potentials and Its Applications
• Retarded Potentials and Time Domain Boundary Integral Equations
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation

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