Distributed approximating functional approach to Burgers' equation in one and two space dimensions

DOI10.1016/S0010-4655(98)00041-1zbMath0933.65120WikidataQ127960428 ScholiaQ127960428MaRDI QIDQ1299702

Guo-Wei Wei, Donald J. Kouri, Desheng Zhang, David K. Hoffman

Publication date: 20 March 2000

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

Burgers equationmethod of distributed approximating functionals

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Unnamed Item
• Numerical solution of Burgers' equations in two space dimensions
• Solution of Burgers' equation with a large Reynolds number
• Numerical solutions of the Eulerian equations of compressible flow by a finite element method which follows the free boundary and the interfaces
• Variational derivation and extensions of distributed approximating functionals
• A self-adaptive domain decomposition for the viscous/inviscid coupling. I: Burgers equation
• Space-time spectral element method for one-dimensional nonlinear advection-diffusion problems
• A comparison of differential quadrature methods for the solution of partial differential equations
• The generalized boundary element approach to Burgers' equation
• Space‐time finite elements incorporating characteristics for the burgers' equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics