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Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)
Ernst Hairer
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Description for Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)
Hardcover. This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. Series: Springer Series in Computational Mathematics. Num Pages: 660 pages, 23 black & white tables, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 240 x 162 x 41. Weight in Grams: 1138.
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.
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.
Product Details
Publisher
Springer
Format
Hardback
Publication date
2006
Series
Springer Series in Computational Mathematics
Condition
New
Weight
1137g
Number of Pages
644
Place of Publication
Berlin, Germany
ISBN
9783540306634
SKU
V9783540306634
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer Series in Computational Mathematics)
From the reviews of the second edition: This book is highly recommended for advanced courses in numerical methods for ordinary differential equations as well as a reference for researchers/developers in the field of geometric integration, differential equations in general and related subjects. It is a must for academic and industrial libraries.
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