Geometric Numerical Integration. Christian Lubich, Ernst Hairer, Gerhard Wanner

Geometric Numerical Integration



Download Geometric Numerical Integration



Geometric Numerical Integration Christian Lubich, Ernst Hairer, Gerhard Wanner. pdf ebook
Publisher: Springer
Language: English
Page: 659
ISBN: 3540306633, 9783540306634

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. It presents a

theory of symplectic and symmetric methods, which include various specially designed integrators, as well as discusses their construction and practical merits. The long-time behavior of the numerical solutions is studied using a backward error analysis combined with KAM theory.



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