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Author:   Xinyuan Wu ,  Kai Liu ,  Wei Shi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 2015
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   6.547kg
ISBN:  

9783662481554

ISBN 10:   3662481553
Pages:   298
Publication Date:   15 March 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

The textbook demonstrates extensions and specialisations of numerical methods for the class of oscillatory problems given by second-order ordinary differential equations. This collection of scientific work is suitable for researchers as well as postgraduate students (Ph.D. students) in the field of numerical analysis. (Roland Pulch, zbMATH 1352.65187, 2017)

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