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" Structure-preserving algorithms for oscillatory differential equations "
Xinyuan Wu, Xiong You, Bin Wang
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BL
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| Record Number
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605699
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b434918
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| Main Entry
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Wu, Xinyuan
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| Title & Author
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Structure-preserving algorithms for oscillatory differential equations\ Xinyuan Wu, Xiong You, Bin Wang
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| Publication Statement
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Berlin ;New York :: Springer ;Beijing :: Science Press,, c2013
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| Page. NO
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1 online resource (241 p.)
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| ISBN
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9783642353383 (electronic bk.)
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: 364235338X (electronic bk.)
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9783642353376
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9787030355201
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Includes bibliographical references and index
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| Contents
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Runge-Kutta ( -Nystrom) methods for oscillatory differential equations -- ARKN methods -- ERKN methods -- Sympletic and symmetric multidimensional EKRN methods -- Two-step multidimensional EKRN methods -- Adapted Falkner-type methods -- Energy-preserving EKRN methods -- Effective methods for highly oscillatory second-order nonlinear differential equations -- Extended leap-frog methods for Hamiltonian wave equations
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| Abstract
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Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations
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| Subject
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Differential equations, Nonlinear-- Numerical solutions
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| Dewey Classification
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515/.355
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511.8
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| LC Classification
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QA214 .W388 2013
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QA214 .W388 2013
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QA372.W8 2013
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You, Xiong
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Wang, Bin
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| Added Entry
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Ohio Library and Information Network
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