Geometric Integrators for Differential Equations With Highly Oscillatory Solutions - Couverture souple

Wu, Xinyuan; Wang, Bin

Couverture souple

ISBN 10 : 9811601496 ISBN 13 : 9789811601491

Editeur : Springer Verlag, Singapore, 2022

Synopsis

1 Oscillation-preserving integrators for highly oscillatory systems of second-order ODEs2 Continuous-stage ERKN integrators for second-order ODEs with highly oscillatory solutions3 Stability and convergence analysis of ERKN integrators for second-order ODEs with highly oscillatory solutions4 Functionally-fitted energy-preserving integrators for Poisson systems 5 Exponential collocation methods for conservative or dissipative systems 6 Volume-preserving exponential integrators 7 Global error bounds of one-stage explicit ERKN integrators for semilinear wave equations 8 Linearly-fitted conservative (dissipative) schemes for nonlinear wave equations9 Energy-preserving schemes for high-dimensional nonlinear KG equations 10 High-order symmetric Birkhoff-Hermite time integrators for semilinear KG equations 11 Symplectic approximations for efficiently solving semilinear KG equations12 Continuous-stage leap-frog schemes for semilinear Hamiltonian wave equations13 Semi-analytical ERKN integrators for solving high-dimensional nonlinear wave equations 14 Long-time momentum and actions behaviour of energy-preserving methods for wave equations

A propos du livre

À propos de l?auteur

Xinyuan Wu, a Professor in Department of Mathematics, Nanjing University. His research interests focus on geometric algorithms for differential equations, numerical methods for stiff problems and numerical methods for algebraic systems. ​In 2017, Wu was awarded with the highest distinction of "Honorary Fellowship" from European Society of Computational Methods in Science and Engineering for the outstanding contribution in the fields of Numerical Analysis and Applied Mathematics. Wu attended the school of Mathematics at the University of Tübingen for study and research from Janurary 19th 2002 to Janurary 20th 2003.

Bin Wang, a Professor in Department of Mathematics and Statistics, Xi'an Jiaotong University. His research interests focus on various structure-preserving algorithms as well as numerical methods for differential equation, especially the numerical computation and analysis of Hamilton ordinary differential equation and partial differential equation. Wang was awarded by Alexander von Humboldt Foundation (2017-2019).

Détails de l'édition

• Éditeur: Springer Verlag, Singapore
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 9811601496
• ISBN 13: 9789811601491
• Reliure: Broché
• Nombre de pages: 517
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne