Add to ORKGAbstract. We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schrödinger equations with periodic potentials. Our approach is based on the clas-sical Bloch decomposition method and it proves to be superior to the mainly used time-splitting spectral schemes. Indeed it is is shown by the given numerical examples, that our method is un-conditionally stable, highly efficient and allows for much larger time-steps than the the splitting schemes. version: February 13, 2006 1
We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with ...
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This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equati...
We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with ...
We consider the time-dependent one-dimensional nonlinear Schro¨dinger equation with pointwise singul...
The purpose of this thesis is to implement three numerical methods for solving and examining the tim...
Abstract. We present a new numerical method for accurate computations of solutions to (linear) one d...
In this article we discuss a procedure to solve the one dimensional (1D) Schroedinger Equation for a...
This project is an immersive study in numerical methods, focusing on quantum molecular dynamics and ...
Abstract: The numerical approximation of the solution of the time-dependent Schrödinger equation ar...
The computation of the linear Schrödinger equation presents major challenges because of the presenc...
Schrödinger equations with time-dependent potentials are of central importance in quantum physics an...
This article explains and illustrates the use of a set of coupled dynamical equations, second order ...
We consider computational methods for simulating the dynamics of molecular systems governed by the t...
The celebrated Schrödinger equation is the key to understanding the dynamics of quantum mechanical p...
We will study high-frequency wave propagation in periodic media. A typical example is given by the S...
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger o...
This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equati...
We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with ...
We consider the time-dependent one-dimensional nonlinear Schro¨dinger equation with pointwise singul...
The purpose of this thesis is to implement three numerical methods for solving and examining the tim...