Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations

DOI10.1016/0168-9274(95)00097-6zbMath0857.65086OpenAlexW2071933411MaRDI QIDQ1917435

Salvador Garcia

Publication date: 16 March 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00097-6

zbMATH Keywords

numerical experimentsKuramoto-Sivashinsky equationfinite differenceincremental unknownshierarchical basisBurgers-like equationnonlinear dissipative evolutionary equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations ⋮ Chaos in the lid-driven square cavity ⋮ Aperiodic, chaotic lid-driven square cavity flows ⋮ Algebraic conditioning analysis of the incremental unknowns preconditioner ⋮ Incremental unknowns method based on the \(\theta \)-scheme for time-dependent convection-diffusion equations ⋮ Incremental unknowns and graph techniques in three space dimensions

Cites Work

• Incremental unknowns for solving partial differential equations
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• Higher-order incremental unknowns, hiearchical basis, and nonlinear dissipative evolutionary equations
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• Inertial Manifolds and Multigrid Methods
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• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Numerical study of the incremental unknowns method
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