scientific article; zbMATH DE number 1424559

zbMath0942.65092MaRDI QIDQ4945808

Christian Lubich, Ernst Hairer

Publication date: 21 August 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

long-time behaviorasymptotic expansionsmultistep methodssymmetric methodsbackward error analysisone-step methodsweakly stable limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (6)

Error propagation when approximating multi-solitons: The KdV equation as a case study ⋮ On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations ⋮ Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation ⋮ B-series methods cannot be volume-preserving ⋮ Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations ⋮ On manifolds of connecting orbits in discretizations of dynamical systems

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