عنوان

Structure-Preserving Algorithms for Oscillatory Differential Equations

(Number (ISBN

3662481553

(Number (ISBN

9783662481554

Number

b546577

Title Proper

Structure-Preserving Algorithms for Oscillatory Differential Equations

General Material Designation

[Book]

First Statement of Responsibility

Xinyuan Wu ; Jianlin Xia

Edition Statement

2., nd ed. 2016

Name of Publisher, Distributor, etc.

Berlin Springer Berlin

Date of Publication, Distribution, etc.

2015

Specific Material Designation and Extent of Item

x, 340 Seiten in 1 Teil 40 schw.-w. Illustrationen, 1 farbige Illustrationen 235 x 155 mm, 0 g

Text of Note

Matrix-variation-of-constants formula.- Improved St ormer-Verlet formulae with applications.- Improved Filon-type asymptotic methods for highly oscillatory differential equations.- Efficient energy-preserving integrators for multi-frequency oscillatory Hamiltonian systems.- An extended discrete gradient formula for multi-frequency oscillatory Hamiltonian systems.- Trigonometric Fourier collocation methods for multi-frequency oscillatory systems.- Error bounds for explicit ERKN integrators for multi-frequency oscillatory systems.- Error analysis of explicit TSERKN methods for highly oscillatory systems.- Highly accurate explicit symplectic ERKN methods for multi-frequency oscillatory Hamiltonian systems.- Multidimensional ARKN methods for general multi-frequency oscillatory second-order IVPs.- A simplified Nystrom-tree theory for ERKN integrators solving oscillatory systems.- An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations.

(Produktform)Hardback

(Zielgruppe)Fachpublikum/ Wissenschaft

(Zielgruppe)Research

Xinyuan Wu ; Jianlin Xia

Jianlin Xia

Springer-Verlag GmbH.

Xinyuan Wu

Electronic name

[Book]

Y