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73 papers · 1 filter
A Hybridizable Discontinuous Galerkin Method for Wave Propagation in Elastic Beam Networks
Moritz Hauck, Joseph Holten, Axel Målqvist +2
This paper studies the numerical solution of elastic wave propagation on networks, modeled by elastodynamic equations posed on each edge, coupled at the nodes through suitable tran…
Finite element approximation of the linearized Cahn-Hilliard-Cook equation
Ali Mesforush, Stig Larsson
The linearized Cahn-Hilliard-Cook equation is discretized in the spatial variables by a standard finite element method. Strong convergence estimates are proved under suitable assum…
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations
Eugen Bronasco, Adrien Laurent
While backward error analysis does not generalise straightforwardly to the strong and weak approximation of stochastic differential equations, it extends for the sampling of ergodi…
Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere
Klas Modin, Michael Roop
We give a structure preserving spatio-temporal discretization for incompressible magnetohydrodynamics (MHD) on the sphere. Discretization in space is based on the theory of geometr…
On the geometry and dynamical formulation of the Sinkhorn algorithm for optimal transport
Klas Modin
The Sinkhorn algorithm is a numerical method for the solution of optimal transport problems. Here, I give a brief survey of this algorithm, with a strong emphasis on its geometric…
Euler-Maruyama approximations of the stochastic heat equation on the sphere
Annika Lang, Ioanna Motschan-Armen
The stochastic heat equation on the sphere driven by additive isotropic Wiener noise is approximated by a spectral method in space and forward and backward Euler-Maruyama schemes i…