Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Geometric Integrators for Differential Equations with Highly Oscillatory Solutions

Wang, Bin; Wu, Xinyuan

Springer Verlag, Singapore

09/2022

499

Mole

Inglês

9789811601491

15 a 20 dias

Descrição não disponível.
1 Oscillation-Preserving Integrators for Highly Oscillatory Systems of Second-Order ODEs.- 2 Continuous-Stage ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions.- 3 Stability and Convergence Analysis of ERKN Integrators for Second-Order ODEs with Highly Oscillatory Solutions.- 4 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 Equations.- 9 Energy-Preserving Schemes for High-Dimensional Nonlinear KG Equations.- 10 High-Order Symmetric Hermite-Birkhoff Time Integrators for Semilinear KG Equations.- 11 Symplectic Approximations for Efficiently Solving Semilinear KG Equations.- 12 Continuous-Stage Leap-Frog Schemes for Semilinear Hamiltonian Wave Equations.- 13 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Oscillation-preserving integrators;Long-time behaviour of numerical integrators;Geometric numerical integration;Symplectic algorithms;Energy-preserving schemes;Geometric algorithms for conservative or dissipative systems