Name
Abstract | ||
|---|---|---|
The paper serves as a review on the basic results showing how functional analytic tools have been applied in numerical analysis. It deals with abstract Cauchy problems and present how their solutions are approximated by using space and time discretisations. To this end we introduce and apply the basic notions of operator semigroup theory. The convergence is analysed through the famous theorems of Trotter and Kato, Lax, and Chernoff. We also list some of their most important applications. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/978-3-319-20239-6_4 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
Numerical analysis,Operator semigroups,Convergence analysis,Trotter-kato approximation theorem,Lax equivalence theorem,Chernoff's theorem | Convergence (routing),Discrete mathematics,Spacetime,Pure mathematics,Cauchy distribution,Operator (computer programming),Fundamental theorem,Lax equivalence theorem,Semigroup,Mathematics,Danskin's theorem | Conference |
Volume | ISSN | Citations |
9045 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petra Csomós | 1 | 0 | 0.34 |
| István Faragó | 2 | 62 | 21.50 |
| Imre Fekete | 3 | 1 | 1.98 |