Shock capturing with Padé methods

DOI10.1016/S0096-3003(97)81649-9zbMath0906.65092MaRDI QIDQ1126633

Stephen F. Davis

Publication date: 2 August 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

conservation lawsEuler equationsBurgers' equationRunge-Kutta methodessentially nonoscillatory schemesgas dynamicsfourth-order Padé shock capturing methodhigh frequency smooth solutionsspurious oscillations near shocks

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

A new fourth order central WENO method for 3D hyperbolic conservation laws ⋮ Weighted Compact Scheme for Shock Capturing ⋮ Upwind and central WENO schemes ⋮ High-order compact scheme for boundary points ⋮ An \textit{a posteriori}, efficient, high-spectral resolution hybrid finite-difference method for compressible flows

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• TVB Uniformly High-Order Schemes for Conservation Laws
• Nonlinearly Stable Compact Schemes for Shock Calculations
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