This work considers multirate generalized-structure additively partitioned Runge–Kutta
methods for solving stiff systems of ordinary differential equations with multiple time scales …

In refined network simulation one is faced with simulating coupled dynamical systems, as for
instance circuits are coupled to heat or electromagnetics. Simulation costs of such coupled …

Many complex applications require the solution of initial-value problems where some
components change fast, while others vary slowly. Multirate schemes apply different step …

Multirate behavior of ordinary differential equations (ODEs) and differential-algebraic
equations (DAEs) is characterized by widely separated time constants in different …

Earth system models are complex integrated models of atmosphere, ocean, sea ice, and
land surface. Coupling the components can be a significant challenge due to the difference …

This article is largely concerned with the time-discretization of a class of descriptor-variable
systems coupled with complementarity constraints, named descriptor-variable linear …

Purpose The maximum entropy snapshot sampling (MESS) method aims to reduce the
computational cost required for obtaining the reduced basis for the purpose of model …

Mathematical models involving ordinary differential equations (ODEs) play a critical role in
scientific and engineering applications. Advances in computing hardware and numerical …

In the context of time-domain simulation of integrated circuits, one often encounters large
systems of coupled differential-algebraic equations. Simulation costs of these systems can …

There are many situations when systems of non-linear differential algebraic equations need
to be solved with extraordinary precision. A steady-state analysis (determining the steady …