Time-dependent boundary and interior forcing in locally one-dimensional schemes
SIAM Journal on Scientific and Statistical Computing
A pseudo-non-time-splitting method in air quality modeling
Journal of Computational Physics
Proceedings of the on Numerical methods for differential equations
An analysis of operator splitting techniques in the stiff case
Journal of Computational Physics
Operator splitting and approximate factorization for taxis-diffusion-reaction models
Applied Numerical Mathematics
The Mathemathical Background of Operator Splitting and the Effect of Non-commutativity
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Analysis of a transport model applying operator splitting and semi-Lagrangian method
International Journal of Computational Science and Engineering
Iterative operator-splitting methods for linear problems
International Journal of Computational Science and Engineering
Wave analysis of different splitting methods in the linearised shallow water equations
International Journal of Computational Science and Engineering
New unconditionally stable numerical schemes for Maxwell's equations
International Journal of Computational Science and Engineering
Testing the accuracy of a data assimilation algorithm
International Journal of Computational Science and Engineering
Computational complexity of weighted splitting schemes on parallel computers
International Journal of Parallel, Emergent and Distributed Systems
Application of operator splitting to the Maxwell equations including a source term
Applied Numerical Mathematics
On the Richardson Extrapolation as Applied to the Sequential Splitting Method
Large-Scale Scientific Computing
New operator splitting methods and their analysis
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Splitting methods and their application to the abstract cauchy problems
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Parallel implementation and one year experiments with the danish eulerian model
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Operator splitting procedures for air pollution transport models
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Operator splittings and numerical methods
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Error analysis of the numerical solution of split differential equations
Mathematical and Computer Modelling: An International Journal
A third accurate operator splitting method
Mathematical and Computer Modelling: An International Journal
| Hi-index | 0.09 |
Operator splitting is a widely used procedure in the numerical solution of parabolicproblems. Several splitting methods have been constructed and used in the fields of applied mathematics. In this paper the weighted sequential splittings are introduced and their local splitting error is analyzed. New results are presented for the case where the subproblems of the weighted splitting schemes are solved numerically. The results are illustrated with test examples for ordinary differential systems.