A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode
DOI10.1137/15M1045247zbMath1365.35129arXiv1005.0444MaRDI QIDQ5737766
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Publication date: 30 May 2017
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.0444
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Computational methods for problems pertaining to quantum theory (81-08) Applications of quantum theory to specific physical systems (81V99) Applications to the sciences (65Z05)
Cites Work
- Unnamed Item
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- Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures
- Discrete transparent boundary conditions for the Schrödinger equation -- a compact higher order scheme
- Discrete artificial boundary conditions for nonlinear Schrödinger equations
- Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I
- An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs
- Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II
- Symmetry of bound and antibound states in the semiclassical limit
- Difference schemes for solving the generalized nonlinear Schrödinger equation
- On a one-dimensional Schrödinger-Poisson scattering model
- A mathematical model for the transient evolution of a resonant tunneling diode
- Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation.
- On Schrödinger equations with concentrated nonlinearities
- Introduction to spectral theory. With applications to Schrödinger operators
- Numerical simulations on resonance poles -- the trapping case of two plane cracks
- General adiabatic evolution with a gap condition
- Cartesian PML approximation to resonances in open systems in \(\mathbb{R}^2\)
- 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
- Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
- ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH
- An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances
- Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
- The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
- Variational Formulations for the Determination of Resonant States in Scattering Problems
- The dynamics of some quantum open systems with short-range nonlinearities
- Nonlinear Eigenproblems
- A Generalized Stationary Algorithm for Resonant Tunneling: Multi-Mode Approximation and High Dimension
- A Relaxation Scheme for the Nonlinear Schrödinger Equation
- Transport properties in resonant tunneling heterostructures
- A boundary‐value problem for the stationary vlasov‐poisson equations: The plane diode
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