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Efficient geometric integrators for the linear and nonlinear time-dependent Schrödinger equation

Related publications (53)

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Analysis of a Novel BAW-based Power Amplifier

Christian Enz

A novel MEMS-based co-designed power amplifier is presented. To introduce the analysis and evaluate the impact of realistic on-chip losses, two design approaches are discussed and compared. Then the study of the novel circuit, based on the integration of h ...

2009

Numerical methods for multiscale problems

Assyr Abdulle

The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation: symplectic and multisymplectic integrators for Hamiltonian systems, symmetric integrators for reversible syst ...

EMS2006

Oscillating fracture paths in thin elastic sheets: when geometry rules the fracture path

Pedro Miguel Nunes Pereira de Almeida Reis

We report a novel mode of quasi-static oscillatory crack propagation when a cutting tool is driven through a thin polymer film [6,7]. In our experiments, for tools with a large enough width, the crack tip follows a highly periodic path, leaving behind a st ...

2006

High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids

Jan Sickmann Hesthaven

We present a high-order particle-in-cell (PIC) algorithm for the simulation of kinetic plasmas dynamics. The core of the algorithm utilizes an unstructured grid discontinuous Galerkin Maxwell field solver combining high-order accuracy with geometric flexib ...

Elsevier2006

Low Damped Cloth Simulation

Junghyun Ahn

This paper proposes a new implicit integration technique that reproduces a stable cloth without introducing excessive damping forces. Semi-implicit integration methods have been widely used in cloth simulations because of their high stability and speed. Ar ...

2006

Mathematical analysis and numerical simulation of the motion of a glacier

Adrian Reist

A numerical method for the simulation of the motion of a glacier in two and three dimensions is presented. Glacier ice is treated as an incompressible viscous fluid. The model equations are based on mass, momentum, energy conservation and a specific rheolo ...

EPFL2005

Semi-analytical bifurcation analysis of two-phase flow in a heated channel

Rakesh Chawla, Abdelhamid Dokhane

Using a drift flux representation for the two-phase flow, a new reduced order model has been developed to simulate density-wave oscillations (DWOs) in a heated channel. This model is then used to perform stability and semi-analytical bifurcation analysis, ...

2005

High-order localized time integration for grid-induced stiffness

Jan Sickmann Hesthaven

We discuss two time integration techniques, aimed at overcoming local grid-induced stiffness in discontinuous Galerkin methods. A local time-stepping approach, utilizing the local properties of the scheme, is shown to work very well. Recently developed add ...

ELSEVIER SCIENCE BV2003

Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems

Jan Sickmann Hesthaven

We discuss a scheme for the numerical solution of one-dimensional initial value problems exhibiting strongly localized solutions or finite-time singularities. To accurately and efficiently model such phenomena we present a full space-time adaptive scheme, ...

2001

Robust FxLMS algorithms with improved convergence performance

Ali H. Sayed

This paper proposes two modifications of the filtered-x least mean squares (FxLMS) algorithm with improved convergence behavior albeit at the same computational cost of 2M operations per time step as the original FxLMS update. The paper further introduces ...

IEEE1998