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" Structure-Preserving Algorithms for Oscillatory Differential Equations "
Xinyuan Wu ; Jianlin Xia
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BL
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| Record Number
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726845
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b546577
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| Main Entry
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Xinyuan Wu ; Jianlin Xia
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| Title & Author
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Structure-Preserving Algorithms for Oscillatory Differential Equations\ Xinyuan Wu ; Jianlin Xia
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| Edition Statement
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2., nd ed. 2016
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| Publication Statement
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Berlin Springer Berlin, 2015
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| Page. NO
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x, 340 Seiten in 1 Teil 40 schw.-w. Illustrationen, 1 farbige Illustrationen 235 x 155 mm, 0 g
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| ISBN
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3662481553
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: 9783662481554
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| Contents
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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.
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(Produktform)Hardback
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(Zielgruppe)Fachpublikum/ Wissenschaft
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(Zielgruppe)Research
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| Added Entry
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Jianlin Xia
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Springer-Verlag GmbH.
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Xinyuan Wu
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