Subject headings: Multirate time stepping / Local time stepping / Ordinary differential equations / Stiff differential equations / Asymptotic stability / High-order Rosenbrock methods / Partitioned Runge-Kutta methods / Mono-tonicity / TVD / Stability / Convergence. Het onderzoek dat tot dit proefschrift heeft geleid werd mede mogelijk gemaakt door een Peter Paul Peterichbeurs –verstrekt door d...

To solve PDE problems with different time scales that are localized in space, multirate time integration is examined. This technique enables one to use large time steps for slowly time-varying spatial regions, and small steps for rapidly varying ones. Multirate time stepping is coupled with the local uniform grid refinement and provides a robust and efficient method for the target problem class...

We consider the existence and spectral stability of static multi-kink structures in discrete sine-Gordon equation, as a representative example family Klein-Gordon models. The multi-kinks are constructed using Lin's method from an alternating sequence well-separated kink antikink solutions. then locate point spectrum associated with these solutions by reducing problem to matrix equation. For $m$...

BACKGROUND Asthma guidelines suggest stepping-down of inhaled corticosteroids (ICSs) when asthma is stable. OBJECTIVE To determine outcomes of stepping-down and prediction of outcome after stepping-down of ICSs in controlled adult asthma. METHODS We performed a retrospective study on 21-81 year-old hospital-based outpatients with asthma in Japan. Protocol for stepping-down of ICSs was perfo...

Abstract. We present a new hp-version space-time discontinuous Galerkin (dG) finite element method for the numerical approximation of parabolic evolution equations on general spatial meshes consisting of polygonal/polyhedral (polytopic) elements, giving rise to prismatic space-time elements. A key feature of the proposed method is the use of space-time elemental polynomial bases of total degree...