Efficient approximation algorithm for the Schrödinger–Possion system
DOI10.1002/num.22534OpenAlexW3089200356WikidataQ115397799 ScholiaQ115397799MaRDI QIDQ6088457
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22534
finite difference methodnon-uniform meshdiscontinuous coefficientresonant tunneling diodeSchrödinger-Possion systemGummel iterative method
Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Statistical mechanics of semiconductors (82D37) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Motion of charged particles (78A35)
Cites Work
- Unnamed Item
- Unnamed Item
- A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schrödinger equation
- The WKB local discontinuous Galerkin method for the simulation of Schrödinger equation in a resonant tunneling diode
- On a one-dimensional Schrödinger-Poisson scattering model
- A mathematical model for the transient evolution of a resonant tunneling diode
- A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation
- A family of fourth-order and sixth-order compact difference schemes for the three-dimensional Poisson equation
- New finite difference methods for singularly perturbed convection-diffusion equations
- Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation
- Numerical analysis of a multiscale finite element scheme for the resolution of the stationary Schrödinger equation
- Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation
- Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation
- WKB-Based Schemes for the Oscillatory 1D Schrödinger Equation in the Semiclassical Limit
- The dynamics of some quantum open systems with short-range nonlinearities
- Is Pollution Effect of Finite Difference Schemes Avoidable for Multi-Dimensional Helmholtz Equations with High Wave Numbers?
- Stability and finite element error analysis for the Helmholtz equation with variable coefficients
- Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates
This page was built for publication: Efficient approximation algorithm for the Schrödinger–Possion system
