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portada Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
Type
Physical Book
Author
Publisher
Language
English
Pages
499
Format
Paperback
Dimensions
23.4x15.6x2.7 cm
Weight
0.72 kg.
ISBN13
9789811601491
Categories

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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