Split Linear Multistep Methods for the Numerical Integration of Stiff Differential Systems.
Stability analysis of a difference scheme for the vibration equation with a finite number of degrees of freedom
Stability analysis of linear multistep methods for delay differential equations.
Stability analysis of numerical methods for delay differential equations.
Stability Analysis of One-Step Methods for Neutral Delay-Differential Equations.
Stability and Accuracy of Time Discretizations for Initial Value Problems
Stability and B-Convergence of Linearly Implicit Runge-Kutta Methods.
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of the method of lines.
Stability of the Multistep-Methods on Variable Grids.
Stability properties of differential-algebraic equations and Spin-stabilized discretizations.
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...
The approximate Euler method for Lévy driven stochastic differential equations
The Interaction Between instability and Local Truncation Error Estimate for Predictor - Corrector Methods
The intervals of stability of Runge-Kutta methods after Richardson extrapolation
The numerical solution of linear time-varying DAEs with index 2 by IRK methods.
The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF
This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A-stable for step length .
The numerical treatment of stiff initial value problems