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wu xinyuan; you xiong; wang bin - structure-preserving algorithms for oscillatory differential equations

Structure-Preserving Algorithms for Oscillatory Differential Equations

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 02/2013
Edizione: 2013





Trama

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.





Sommario

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.











Altre Informazioni

ISBN:

9783642353376

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 5486 gr
Formato: Copertina rigida
Illustration Notes:XII, 236 p. 40 illus., 2 illus. in color.
Pagine Arabe: 236
Pagine Romane: xii


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