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Structure-preserving algorithms for oscillatory differential equations / / Xinyuan Wu, Xiong You, Bin Wang



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Autore: Wu Xinyuan Visualizza persona
Titolo: Structure-preserving algorithms for oscillatory differential equations / / Xinyuan Wu, Xiong You, Bin Wang Visualizza cluster
Pubblicazione: Heidelberg, Germany : , : Springer, , 2013
Edizione: 1st ed. 2013.
Descrizione fisica: 1 online resource (xii, 236 pages) : illustrations
Disciplina: 511.8
Soggetto topico: Differential equations, Nonlinear - Numerical solutions
Persona (resp. second.): YouXiong
WangBin (Mathematician)
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Runge-Kutta (-Nyström) Methods for Oscillatory Differential Equations -- ARKN Methods -- ERKN Methods -- Symplectic and Symmetric Multidimensional ERKN Methods -- Two-Step Multidimensional ERKN Methods -- Adapted Falkner-Type Methods -- Energy-Preserving ERKN Methods -- Effective Methods for Highly Oscillatory Second-Order Nonlinear Differential Equations -- Extended Leap-Frog Methods for Hamiltonian Wave Equations.
Sommario/riassunto: 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. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.
Titolo autorizzato: Structure-Preserving Algorithms for Oscillatory Differential Equations  Visualizza cluster
ISBN: 1-299-33711-2
3-642-35338-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910437886703321
Lo trovi qui: Univ. Federico II
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