scientific article

zbMath0989.65142MaRDI QIDQ2754582

Martin J. Gander, Rita Meyer-Spasche

Publication date: 11 November 2001

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

zbMATH Keywords

stabilityfixed pointsdynamical systemsorbitsordinary differential equationssymplectic schemesnumerical integrators

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical nonlinear stabilities in dynamical systems (65P40)

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Given a one-step numerical scheme, on which ordinary differential equations is it exact? ⋮ Guaranteed estimation problem for multi-step systems ⋮ Nonstandard discrete approximations preserving stability properties of continuous mathematical models ⋮ Contributions to the development of differential systems exactly solved by multistep finite-difference schemes

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