Pages that link to "Item:Q4637515"

The following pages link to Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations (Q4637515):

Displaying 34 items.

• Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems (Q1726614) (← links)
• Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations (Q1986166) (← links)
• Exponential integrators based on discrete gradients for linearly damped/driven Poisson systems (Q2025873) (← links)
• Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems (Q2035647) (← links)
• A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems (Q2045174) (← links)
• WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime (Q2059669) (← links)
• An approach to solving Maxwell's equations in time domain (Q2084876) (← links)
• Optimal convergence and long-time conservation of exponential integration for Schrödinger equations in a normal or highly oscillatory regime (Q2113631) (← links)
• A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation (Q2125456) (← links)
• Energy-preserving exponential integrators of arbitrarily high order for conservative or dissipative systems with highly oscillatory solutions (Q2130993) (← links)
• A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems (Q2134707) (← links)
• A new symmetric linearly implicit exponential integrator preserving polynomial invariants or Lyapunov functions for conservative or dissipative systems (Q2136488) (← links)
• Exponential integrators with quadratic energy preservation for linear Poisson systems (Q2220582) (← links)
• Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs (Q2220746) (← links)
• Volume-preserving exponential integrators and their applications (Q2222461) (← links)
• Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field (Q2223833) (← links)
• Efficient energy-preserving methods for charged-particle dynamics (Q2279641) (← links)
• Long-time momentum and actions behaviour of energy-preserving methods for semi-linear wave equations via spatial spectral semi-discretisations (Q2305556) (← links)
• Line integral solution of differential problems (Q2305849) (← links)
• A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations (Q2311786) (← links)
• Exponential collocation methods for conservative or dissipative systems (Q2315819) (← links)
• Spectrally accurate space-time solution of Hamiltonian PDEs (Q2316631) (← links)
• Global error bounds of one-stage extended RKN integrators for semilinear wave equations (Q2316632) (← links)
• The performance of the \(N\)-body integrator SSS (Q2316648) (← links)
• Arbitrary-order energy-preserving methods for charged-particle dynamics (Q2338278) (← links)
• A novel Chebyshev-collocation spectral method for solving the transport equation (Q2666671) (← links)
• Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques (Q2696494) (← links)
• Parametric Qualitative Analysis of Ordinary Differential Equations: Computer Algebra Methods for Excluding Oscillations (Extended Abstract) (Invited Talk) (Q3587714) (← links)
• Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems (Q5079543) (← links)
• Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems (Q5094718) (← links)
• A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations (Q5097814) (← links)
• Exponential collocation methods based on continuous finite element approximations for efficiently solving the cubic Schrödinger equation (Q6088422) (← links)
• A fourth-order energy-preserving and symmetric average vector field integrator with low regularity assumption (Q6126023) (← links)
• Cost-reduction implicit exponential Runge-Kutta methods for highly oscillatory systems (Q6614650) (← links)