Global series solutions of nonlinear differential equations with shocks using Walsh functions

DOI10.1016/J.JCP.2013.10.054zbMath1349.41050OpenAlexW1979947611MaRDI QIDQ348630

Peter A. Gnoffo

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.10.054

zbMATH Keywords

Walsh functionHaar waveletshock capturingnozzleclosureEulerburger's equation

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Solutions of nonlinear differential equations with feature detection using fast Walsh transforms ⋮ A hybrid classical-quantum algorithm for solution of nonlinear ordinary differential equations ⋮ A hybrid classical-quantum algorithm for digital image processing

Cites Work

• Towards shock-stable and accurate hypersonic heating computations: a new pressure flux for AUSM-family schemes
• A Walsh series direct method for solving variational problems
• A Shock-Fitting Primer
• A contribution to the great Riemann solver debate
• Shock wave instability and the carbuncle phenomenon: same intrinsic origin?
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