An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation
DOI10.1007/S11075-023-01740-5MaRDI QIDQ6624855
G. Fairweather, Morrakot Khebchareon, Ryan I. Fernandes, Amiya K. Pani
Publication date: 28 October 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
alternating direction implicit methodfinite element Galerkin methodlinear Schrödinger equationSchrödinger-type systemsextrapolated Crank-Nicolson method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation
- High-order compact ADI (HOC-ADI) method for solving unsteady 2D Schrödinger equation
- The use of compact boundary value method for the solution of two-dimensional Schrödinger equation
- A Fourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics
- On mixed methods for fourth-order problems
- Comparison of split step solvers for multidimensional Schrödinger problems
- Domain decomposition algorithms for two dimensional linear Schrödinger equation
- A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrödinger equation
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
- Convergence of compact ADI method for solving linear Schrödinger equations
- On a class of conservative, highly accurate Galerkin methods for the Schrödinger equation
- Alternating Direction Multistep Methods for Parabolic Problems–Iterative Stabilization
- A qualocation method for parabolic partial differential equations
- Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables
- On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation
- Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation
- The Mathematical Theory of Finite Element Methods
This page was built for publication: An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624855)