Name
Title | ||
|---|---|---|
The Mathemathical Background of Operator Splitting and the Effect of Non-commutativity |
Abstract | ||
|---|---|---|
Operator splitting is a widely used procedure in the numerical solution of initial and boundary value problems of partial
differential equations. In this paper the error of the operator splitting, the so-called splitting error, is investigated.
The mathematical background of operator splitting is shortly discussed. Sufficient conditions, under which the splittingerror
vanishes, are formulated for the splittingmetho d of the Danish Eulerian Model. The study is based on the L-commutativity
of the operators used in the model. Finally, the size of the splitting error is analysed in the case where the splitted operators
are linear.
|
Year | DOI | Venue |
|---|---|---|
2001 | 10.1007/3-540-45346-6_27 | LSSC |
Keywords | Field | DocType |
mathemathical background,operator splitting,boundary value problem,partial differential equation | Differential equation,Boundary value problem,Mathematical analysis,Eulerian path,Initial value problem,Operator (computer programming),Linear map,Numerical analysis,Partial differential equation,Mathematics | Conference |
Volume | ISSN | ISBN |
2179 | 0302-9743 | 3-540-43043-1 |
Citations | PageRank | References |
2 | 0.60 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| István Faragó | 1 | 62 | 21.50 |
| A. Havasi | 2 | 6 | 2.46 |