The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods
An MEBDF code for stiff initial value problems
ACM Transactions on Mathematical Software (TOMS)
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Triangularly Implicit Iteration Methods for ODE-IVP Solvers
SIAM Journal on Scientific Computing
Applied Numerical Mathematics - Selected papers on eighth conference on the numerical treatment of differential equations 1-5 September 1997, Alexisbad, Germany
Blended block BVMs (B3VMs): a family of economical implicit methods for ODEs
Journal of Computational and Applied Mathematics
Block implicit methods for Odes
Recent trends in numerical analysis
Blended implementation of block implicit methods for ODEs
Applied Numerical Mathematics
Economical error estimates for block implicit methods for ODEs via deferred correction
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Recent advances in linear analysis of convergence for splittings for solving ODE problems
Applied Numerical Mathematics
Economical error estimates for block implicit methods for ODEs via deferred correction
Applied Numerical Mathematics
Blended implicit methods for the numerical solution of DAE problems
Journal of Computational and Applied Mathematics
A note on the efficient implementation of Hamiltonian BVMs
Journal of Computational and Applied Mathematics
A Test Set for stiff Initial Value Problem Solvers in the open source software R: Package deTestSet
Journal of Computational and Applied Mathematics
Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
Numerical Algorithms
| Hi-index | 0.00 |
In this paper we present the code BiM, based on blended implicit methods (J. Comput. Appl. Math. 116 (2000) 41; Appl. Numer. Math. 42 (2002) 29; Recent Trends in Numerical Analysis, Nova Science Publ. Inc., New York. 2001, pp. 81.), for the numerical solution of stiff initial value problems for ODEs. We describe in detail most of the implementation strategies used in the construction of the code, and report numerical tests comparing the code BiM with some of the best codes currently available. The numerical tests show that the new code compares well with existing ones. Moreover, the methods implemented in the code are characterized by a diagonal nonlinear splitting, which makes its extension for parallel computers very straightforward.