Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions

DOI10.1051/M2AN/2013084zbMath1283.37072OpenAlexW2096089659MaRDI QIDQ5397523

David S. Gilliam, Edward J. Allen, John A. Burns

Publication date: 24 February 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013084

zbMATH Keywords

stabilityasymptotic behaviorbifurcationboundary value problemnumerical approximationnonlinear dynamical systemnonlinear partial differential equationfinite precision arithmetic

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical nonlinear stabilities in dynamical systems (65P40) Dynamical systems in numerical analysis (37N30)

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