Stability properties of backward differentiation multirate formulas
Applied Numerical Mathematics - Recent Theoretical Results in Numerical Ordinary Differential Equations
Stability properties of backward euler multirate formulas
SIAM Journal on Scientific and Statistical Computing
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Multirate ROW methods and latency of electric circuits
Selected papers of the sixth conference on Numerical Treatment of Differential Equations
SIAM Journal on Scientific Computing
MUR8: a multirate extension of the eighth-order Dormand-Prince method
Applied Numerical Mathematics - Special issue on time integration
ROW methods adapted to electric circuit simulation packages
ICCAM '96 Proceedings of the seventh international congress on Computational and applied mathematics
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Time domain analog circuit simulation
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Stability analysis of the BDF Slowest-first multirate methods
International Journal of Computer Mathematics - Splitting Methods for Differential Equations
Comparison of the asymptotic stability properties for two multirate strategies
Journal of Computational and Applied Mathematics
Multirate Explicit Adams Methods for Time Integration of Conservation Laws
Journal of Scientific Computing
Analysis of a multirate theta-method for stiff ODEs
Applied Numerical Mathematics
Construction of a multirate RODAS method for stiff ODEs
Journal of Computational and Applied Mathematics
Time domain analog circuit simulation
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations
Journal of Scientific Computing
Extrapolated Multirate Methods for Differential Equations with Multiple Time Scales
Journal of Scientific Computing
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
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Subunits of coupled technical systems typically behave on differing time scales, which are often separated by several orders of magnitude. An ordinary integration scheme is limited by the fastest changing component, whereas so-called multirate methods employ an inherent step size for each subsystem to exploit these settings. However, the realization of the coupling terms is crucial for any convergence. Thus the approach to return to one-step methods within the multirate concept is promising. This paper introduces the multirate W-method for ordinary differential equations and gives a theoretical discussion in the context of partitioned Rosenbrock-Wanner methods. Finally, the MATLAB implementation of an embedded scheme of order (3)2 is tested for a multirate version of Prothero-Robinson's equation and the inverter-chain-benchmark.