A Direction Preserving Discretization for Computing Phase-Space Densities
DOI10.1137/20M1352041zbMath1475.35340arXiv2106.14506MaRDI QIDQ5005007
Gregor Tanner, Martin Richter, David J. Chappell, Jonathan J. Crofts
Publication date: 4 August 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.14506
Frobenius-Perron operatorPetrov-Galerkin methodgeometrical opticsray tracinghigh-frequency wave asymptotics
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Boundary element methods for boundary value problems involving PDEs (65N38) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Geometric optics (78A05) PDEs in connection with statistical mechanics (35Q82) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On the numerical approximation of the Perron-Frobenius and Koopman operator
- Data-driven model reduction and transfer operator approximation
- Predicting the statistics of wave transport through chaotic cavities by the random coupling model: a review and recent progress
- Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
- Convergence analysis of projection methods for Frobenius-Perron operators based on matrix norm techniques
- Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies
- Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement
- Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media
- Applied Koopmanism
- Discretization of the Frobenius–Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method
- Mean Field Approximation in Conformation Dynamics
- Computational high frequency wave propagation
- Numerical Approximation of the Frobenius--Perron Operator using the Finite Volume Method
- Coupling strength assumption in statistical energy analysis
- A Simple Mesh Generator in MATLAB
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Transfer operator approach to ray-tracing in circular domains
- Discrete flow mapping: transport of phase space densities on triangulated surfaces
- ESTIMATING CURVATURE ON TRIANGULAR MESHES
- Frobenius–Perron eigenstates in deformed microdisk cavities: non-Hermitian physics and asymmetric backscattering in ray dynamics
This page was built for publication: A Direction Preserving Discretization for Computing Phase-Space Densities
