Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

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Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward ...

Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations 2004, Springer, Berlin, Germany

ISBN-13: 9783540430032

Hardcover

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