scientific article; zbMATH DE number 5041732
zbMATH Open1098.65119MaRDI QIDQ5476868
Publication date: 20 July 2006
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stabilityconvergenceCauchy problemnumerical examplesnumerical methodstextbookBurgers equationbifurcationsRunge-Kutta methodsinitial-boundary value problemsdiscrete dynamical systemsCrank-Nicolson schememulti-step methodsdiscrete dynamical systemEuler schemesgeometric numerical integrationDynamical systemPicard method, nonlinear diffusion problems
Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical chaos (65P20) Numerical bifurcation problems (65P30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Approximation methods and numerical treatment of dynamical systems (37Mxx) Numerical problems in dynamical systems (65Pxx)
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