40 citations · 59 across the 24 of their papers we have counts for
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-Adaptive Galerkin Time Stepping Methods for Nonlinear Initial Value Problems
Irene Kyza, Stephen Metcalfe, Thomas Wihler
This work is concerned with the derivation of an a posteriori error estimator for Galerkin approximations to nonlinear initial value problems with an emphasis on finite-time existe…
An -Adaptive Newton-Discontinuous-Galerkin Finite Element Approach for Semilinear Elliptic Boundary Value Problems
Paul Houston, Thomas P. Wihler
In this paper we develop an -adaptive procedure for the numerical solution of general second-order semilinear elliptic boundary value problems, with possible singular perturbat…
Adaptive Pseudo-Transient-Continuation-Galerkin Methods for Semilinear Elliptic Partial Differential Equations
Mario Amrein, Thomas P. Wihler
In this paper we investigate the application of pseudo-transient-continuation (PTC) schemes for the numerical solution of semilinear elliptic partial differential equations, with p…
An Adaptive Newton-Method Based on a Dynamical Systems Approach
Mario Amrein, Thomas P. Wihler
The traditional Newton method for solving nonlinear operator equations in Banach spaces is discussed within the context of the continuous Newton method. This setting makes it possi…
A Note On A Norm-Preserving Continuous Galerkin Time Stepping Scheme
Thomas P. Wihler
In this note we shall devise a variable-order continuous Galerkin time stepping method which is especially geared towards norm-preserving dynamical systems. In addition, we will pr…