Computer-controlled systems: theory and design (2nd ed.)
Computer-controlled systems: theory and design (2nd ed.)
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
ACM Transactions on Mathematical Software (TOMS)
Numerical Initial Value Problems in Ordinary Differential Equations
Numerical Initial Value Problems in Ordinary Differential Equations
Digital filters in adaptive time-stepping
ACM Transactions on Mathematical Software (TOMS)
Applied Numerical Mathematics
Adaptive stepsize based on control theory for stochastic differential equations
Journal of Computational and Applied Mathematics
Fourth-Order Runge---Kutta Schemes for Fluid Mechanics Applications
Journal of Scientific Computing
Adaptive time-stepping and computational stability
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Evaluating numerical ODE/DAE methods, algorithms and software
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Time-step selection algorithms: adaptivity, control, and signal processing
Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ
A state event detection algorithm for numerically simulating hybrid systems with model singularities
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
Journal of Computational Physics
A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations
Journal of Computational Physics
Time-step selection algorithms: Adaptivity, control, and signal processing
Applied Numerical Mathematics
Adaptive time-stepping and computational stability
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Evaluating numerical ODE/DAE methods, algorithms and software
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Journal of Computational Physics
FATODE: a library for forward, adjoint and tangent linear integration of stiff systems
Proceedings of the 19th High Performance Computing Symposia
A new time-stepping method for circuit simulation
Proceedings of the 50th Annual Design Automation Conference
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion
Journal of Computational Physics
Stabilized explicit Runge-Kutta methods for multi-asset American options
Computers & Mathematics with Applications
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The problem of stepsize selection in implicit Runge-Kutta schemes is analyzed from a feedback control point of view. This approach leads to a better understanding of the relation between stepsize and error. A new dynamical model describing this relation is derived. The model is used as a basis for a new stepsize selection rule. This rule achieves better error control at little extra expense. The properties of the new model and the improved performance of the new error control are demonstrated using both analysis and numerical examples.