An error bound for the time-sliced thawed Gaussian propagation method
DOI10.1007/s00211-022-01319-7OpenAlexW4296614841MaRDI QIDQ2095800
Publication date: 15 November 2022
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.12182
Schrödinger operator, Schrödinger equation (35J10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Numerical quadrature and cubature formulas (65D32) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Uses Software
Cites Work
- Unnamed Item
- Tensor-Train Decomposition
- An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime
- Coherent states and applications in mathematical physics.
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
- Numerical integration using sparse grids
- Raising and lowering operators for semiclassical wave packets
- Gabor analysis and algorithms. Theory and applications
- Foundations of time-frequency analysis
- High order efficient splittings for the semiclassical time-dependent Schrödinger equation
- Discretising the Herman-Kluk propagator
- Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation
- Einführung in die Theorie der Modulfunktionen \(n\)-ten Grades
- Stable Computations with Gaussian Radial Basis Functions
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- Splitting methods
- Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets
- Harmonic Analysis in Phase Space. (AM-122)
- Accuracy and Stability of Numerical Algorithms
- Error estimates for Gaussian beam superpositions
- Stable Interpolation with Isotropic and Anisotropic Gaussians Using Hermite Generating Function
- Optimal Error Estimates for First-Order Gaussian Beam Approximations to the Schrödinger Equation
- Solving PDEs with radial basis functions
- Geometric Numerical Integration
- Computing quantum dynamics in the semiclassical regime
- An introduction to semiclassical and microlocal analysis
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