16 citations · 16 across the 5 of their papers we have counts for
5 papers
Stiff Norm Estimates for Variable-Stepsize Peer Two-Step Methods
Jens Lang, Bernhard A. Schmitt
Peer two-step methods are attractive for the numerical solution of stiff initial value problems because they combine favorable features of Runge-Kutta and multi-step methods, inclu…
Implicit Third-Order Peer Triplets with Variable Stepsizes for Gradient-Based Solutions in Large-Scale ODE-Constrained Optimal Control
Jens Lang, Bernhard A. Schmitt
This paper is concerned with the theory, construction and application of variable-stepsize implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., pr…
Variable-Stepsize Implicit Peer Triplets in ODE Constrained Optimal Control
Jens Lang, Bernhard A. Schmitt
This paper is concerned with the theory, construction and application of implicit Peer two-step methods that are super-convergent for variable stepsizes, i.e., preserve their class…
Adaptive hp-Polynomial Based Sparse Grid Collocation Algorithms for Piecewise Smooth Functions with Kinks
Hendrik Wilka, Jens Lang
High-dimensional interpolation problems appear in various applications of uncertainty quantification, stochastic optimization and machine learning. Such problems are computationall…
Extrapolation-Based Implicit-Explicit Peer Methods with Optimised Stability Regions
Jens Lang, Willem Hundsdorfer
In this paper we investigate a new class of implicit-explicit (IMEX) two-step methods of Peer type for systems of ordinary differential equations with both non-stiff and stiff part…