A fast solution method for time dependent multidimensional Schrödinger equations
From MaRDI portal
Publication:4628950
DOI10.1080/00036811.2017.1359571zbMath1453.65054arXiv1610.08673OpenAlexW2964120061MaRDI QIDQ4628950
Flavia Lanzara, Gunther Schmidt, Vladimir Gilelevich Maz'ya
Publication date: 25 March 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08673
Multidimensional problems (41A63) Numerical quadrature and cubature formulas (65D32) Approximation by other special function classes (41A30) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items
Fast cubature of high dimensional biharmonic potential based on approximate approximations ⋮ Approximate approximations: recent developments in the computation of high dimensional potentials
Cites Work
- Unnamed Item
- Approximation of solutions to multidimensional parabolic equations by approximate approximations
- Accurate cubature of volume potentials over high-dimensional half-spaces
- Approximate approximations from scattered data
- Discrete transparent boundary conditions for the Schrödinger equation -- a compact higher order scheme
- Transparent boundary conditions for quantum-waveguide simulations
- Double exponential formulas for numerical integration
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Fast cubature of volume potentials over rectangular domains by approximate approximations
- On the fast computation of high dimensional volume potentials
- Endpoint Strichartz estimates
- Numerical operator calculus in higher dimensions
- ON THE COMPUTATION OF HIGH‐DIMENSIONAL POTENTIALS OF ADVECTION–DIFFUSION OPERATORS
- Algorithms for Numerical Analysis in High Dimensions