Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Singapore :
Springer Singapore : Imprint: Springer,
2018.
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Έκδοση: | 1st ed. 2018. |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Functionally fitted continuous finite element methods for oscillatory Hamiltonian system
- Exponential average-vector-field integrator for conservative or dissipative systems
- Exponential Fourier collocation methods for first-order differential Equations
- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems
- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems
- The construction of arbitrary order ERKN integrators via group theory
- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems
- A compact tri-colored tree theory for general ERKN methods
- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations
- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations
- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations
- An essential extension of the finite-energy condition for ERKN integrators solving nonlinear wave equations
- Index.