A representation and approximation of the solutions of hyperbolic differential equations

DOI10.1016/0021-9991(87)90138-0zbMath0641.65085OpenAlexW2098113185MaRDI QIDQ1100870

S. R. Vatsya

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90138-0

zbMATH Keywords

Stieltjes transformcomparison of methodsweak solutionsfixed point equationmethod of characteristicsquasilinearSpurious oscillationsfluid flow in an ideal shock tubelocation of the discontinuities

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Method of lines for boundary value problems involving PDEs (65N40)

Cites Work

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• A flux splitting method for the numerical simulation of one-dimensional compressible flow
• On convergence of Roe's scheme for the general nonlinear scalar wave equation
• Orthogonal polynomials and Padé approximants associated with a system of arcs
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Hyperbolic systems of conservation laws II
• A convergence proof for the Schwinger variational method for the scattering amplitude
• Solutions in the large for nonlinear hyperbolic systems of equations

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