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 error analysis (modified equations)
combined with KAM theory. The book is illustrated by many figures,
it treats applications from physics and astronomy and contains many
numerical experiments and comparisons of different approaches. The
second edition is substantially revised and enlarged, with many
improvements in the presentation and additions concerning in
particular non-canonical Hamiltonian systems, highly oscillatory
mechanical systems, and the dynamics of multistep methods.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!