Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations

DOI10.1137/0129029zbMath0325.65041OpenAlexW2066993117MaRDI QIDQ4089735

David Gottlieb, Eli Turkel, Saul S. Abarbanel

Publication date: 1975

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0129029

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Several new numerical methods for compressible shear-layer simulations ⋮ Numerical solution of converging shock problem ⋮ On the practical use of high-order methods for hyperbolic systems ⋮ Extrapolation methods for dynamic partial differential equations ⋮ Multidimensional difference schemes with fourth-order accuracy ⋮ On the first order local stability scheme for the numerical solution of time-dependent compressible flows ⋮ Polynomial interpolation methods for viscous flow calculations ⋮ Progress in computational physics ⋮ Backward difference replacements of the space derivative in first-order hyperbolic equations ⋮ Flux limiters fourth and sixth order high resolution method for hyperbolic conservation laws ⋮ Finite element methods for nonlinear advection ⋮ Dissipative Two-Four Methods for Time-Dependent Problems

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