Ergebnisse einschränken

Multigrid methods for fractional diffusion equations

Trotti, Ken ; Krause, Rolf (Dir.) ; Donatelli, Marco (Codir.)

Thèse de doctorat : Università della Svizzera italiana, 2021 ; 2021INFO013.

Recent years have seen the rapid growth in interest towards fractional calculus. Fractional calculus plays an important role in modelling anomalous diffusion phenomena, however closed-form analytical solutions of such equations are rarely available, hence numerical estimates are needed. In this thesis we consider various fractional diffusion equations (FDEs), where different fractional ...

Rational Differential Systems, Loop Equations, and Application to the q th Reductions of KP

Bergére, Michel ; Borot, Gaëtan ; Eynard, Bertrand

In: Annales Henri Poincaré, 2015, vol. 16, no. 12, p. 2713-2782

A multidomain discretization of the Richards equation in layered soil

Berninger, Heiko ; Kornhuber, Ralf ; Sander, Oliver

In: Computational Geosciences, 2015, vol. 19, no. 1, p. 213-232

Center-stable manifold of the ground state in the energy space for the critical wave equation

Krieger, Joachim ; Nakanishi, Kenji ; Schlag, Wilhelm

In: Mathematische Annalen, 2015, vol. 361, no. 1-2, p. 1-50

Optimized Schwarz methods for a diffusion problem with discontinuous coefficient

Gander, Martin ; Dubois, Olivier

In: Numerical Algorithms, 2015, vol. 69, no. 1, p. 109-144

Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements

Grohs, Philipp ; Hardering, Hanne ; Sander, Oliver

In: Foundations of Computational Mathematics, 2015, vol. 15, no. 6, p. 1357-1411

Linear Elastic Fracture Mechanics Predicts the Propagation Distance of Frictional Slip

Kammer, David ; Radiguet, Mathilde ; Ampuero, Jean-Paul ; Molinari, Jean-François

In: Tribology Letters, 2015, vol. 57, no. 3, p. 1-10

Banded, stable, skew-symmetric differentiation matrices of high order

Hairer, Ernst ; Iserles, Arieh

In: IMA Journal of Numerical Analysis, 2017, vol. 37, no. 3, p. 1087-1103

A second-kind Galerkin boundary element method for scattering at composite objects

Claeys, Xavier ; Hiptmair, Ralf ; Spindler, Elke

In: BIT Numerical Mathematics, 2015, vol. 55, no. 1, p. 33-57

Parallel space-time multilevel methods with application to electrophysiology : theory and implementation

Benedusi, Pietro ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2020 ; 2020INFO005.

The goal of this thesis is to design and study an efficient strategy to solve possibly non-linear parabolic partial differential equations on massively parallel machines. Traditionally, when solving time-dependent problems, time stepping methods are used to advance the solution in time. These techniques are inherently sequential and therefore they introduce a bottleneck in the overall...