AbstractA variety of third-order ODE solvers which have a minimum configuration (i.e. minimum work per step) have been numerically tested and the results compared. They include implicit and explicit processes, and share the property that a Jacobian matrix must be evaluated at least once during the integration. Some of these processes have not been previously described in the literature
Ordinary differential equations (ODEs), and the systems of such equations, are used for describing m...
In this talk, explicit, parallelizable and optimally zero-stable peer methods with accuracy order p ...
We consider the classical Taylor series approximation to the solution of initial value problems in o...
A variety of third-order ODE solvers which have a minimum configuration (i.e. minimum work per step)...
A new method for the computation of non stiff systems of ordinary differential equations is describe...
Information is presented about the spectral and other properties of Jacobian matrices occurring in t...
Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed ...
In this paper we derive new explicit two-stage peer methods for the numerical solution of ordinary d...
Abstract. The accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The...
Ordinary differential equation (ODE) models are a key tool to understand complex mechanisms in syste...
AbstractConsiderable work has been done comparing the relative efficiencies of linear multi-step, Ru...
Abstract. We provide a theoretical analysis of the processing technique for the numerical integratio...
A Newton's method is developed for solving the 2-D Euler equations. The Euler equations are discreti...
We introduce a new class of explicit two-step peer methods with the aim of improving the stability p...
Abstract. Implicit integration schemes for large systems of nonlinear ODEs require, at each integrat...
Ordinary differential equations (ODEs), and the systems of such equations, are used for describing m...
In this talk, explicit, parallelizable and optimally zero-stable peer methods with accuracy order p ...
We consider the classical Taylor series approximation to the solution of initial value problems in o...
A variety of third-order ODE solvers which have a minimum configuration (i.e. minimum work per step)...
A new method for the computation of non stiff systems of ordinary differential equations is describe...
Information is presented about the spectral and other properties of Jacobian matrices occurring in t...
Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed ...
In this paper we derive new explicit two-stage peer methods for the numerical solution of ordinary d...
Abstract. The accuracy of adaptive integration algorithms for solving stiff ODE is investigated. The...
Ordinary differential equation (ODE) models are a key tool to understand complex mechanisms in syste...
AbstractConsiderable work has been done comparing the relative efficiencies of linear multi-step, Ru...
Abstract. We provide a theoretical analysis of the processing technique for the numerical integratio...
A Newton's method is developed for solving the 2-D Euler equations. The Euler equations are discreti...
We introduce a new class of explicit two-step peer methods with the aim of improving the stability p...
Abstract. Implicit integration schemes for large systems of nonlinear ODEs require, at each integrat...
Ordinary differential equations (ODEs), and the systems of such equations, are used for describing m...
In this talk, explicit, parallelizable and optimally zero-stable peer methods with accuracy order p ...
We consider the classical Taylor series approximation to the solution of initial value problems in o...
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