Quantum Physics, Mathematical Equations - Integral, Numerical Analysis & Solutions, Mathematical Equations - Differential
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential E...
Ernst Hairer, Christian Lubich, ...
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Overview
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.
Book Details
Published
March 8, 2010
Publisher
Springer-Verlag New York, LLC
Pages
662
Format
Paperback, 2010
ISBN
9783642051579