Name
Title | ||
|---|---|---|
Exact Finite-Difference Schemes for d-Dimensional Linear Stochastic Systems with Constant Coefficients. |
Abstract | ||
|---|---|---|
The authors attempt to construct the exact finite-difference schemes for linear stochastic differential equations with constant coefficients. The explicit solutions to Ito and Stratonovich linear stochastic differential equations with constant coefficients are adopted with the view of providing exact finite-difference schemes to solve them. In particular, the authors utilize the exact finite-difference schemes of Stratonovich type linear stochastic differential equations to solve the Kubo oscillator that is widely used in physics. Further, the authors prove that the exact finite-difference schemes can preserve the symplectic structure and first integral of the Kubo oscillator. The authors also use numerical examples to prove the validity of the numerical methods proposed in this paper. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1155/2013/830936 | JOURNAL OF APPLIED MATHEMATICS |
Keywords | Field | DocType |
null | Mathematical optimization,Oscillation,Finite difference,Mathematical analysis,Constant coefficients,Symplectic geometry,Stochastic differential equation,Stochastic partial differential equation,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
2013 | null | 1110-757X |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peng Jiang | 1 | 0 | 0.34 |
| Xiaofeng Ju | 2 | 0 | 1.01 |
| Dan Liu | 3 | 25 | 8.89 |
| Shaoqun Fan | 4 | 0 | 0.34 |