7 citations · 19 across the 6 of their papers we have counts for
6 papers
Stability of an upwind Petrov Galerkin discretization of convection diffusion equations
Snorre H. Christiansen, Tore G. Halvorsen, Torquil M. Sørensen
We study a numerical method for convection diffusion equations, in the regime of small viscosity. It can be described as an exponentially fitted conforming Petrov-Galerkin method.…
Comment on "The Stochastic Nonlinear Schrödinger Equation in "
Torquil Macdonald Sørensen
The paper "The Stochastic Nonlinear Schrödinger Equation in " \cite{debouard2003} gives an existence proof for a stochastic nonlinear Schrödinger equation with multiplicativ…
Levy process simulation by stochastic step functions
Torquil Macdonald Sørensen, Fred Espen Benth
We study a Monte Carlo algorithm for simulation of probability distributions based on stochastic step functions, and compare to the traditional Metropolis/Hastings method. Unlike t…
Simplicial gauge theory on spacetime
Tore Gunnar Halvorsen, Torquil Macdonald Sørensen
We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove con…
Simplicial gauge theory and quantum gauge theory simulation
Tore Gunnar Halvorsen, Torquil Macdonald Sørensen
We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed fo…
Numerical Solution of the Ekpyrotic Scenario in the Moduli Space Approximation
Torquil MacDonald Sorensen
A numerical solution to the equations of motion for the ekpyrotic bulk brane scenario in the moduli space approximation is presented. The visible universe brane has positive tensio…