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Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
Xinyuan Wu
(Author)
·
Bin Wang
(Author)
·
Springer
· Paperback
Geometric Integrators for Differential Equations with Highly Oscillatory Solutions - Wu, Xinyuan ; Wang, Bin
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Synopsis "Geometric Integrators for Differential Equations with Highly Oscillatory Solutions"
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
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