Numerical solution of boundary value problems for stochastic differential equations on the basis of the Gibbs sampler

Prigarin, Sergej und Winkler, Gerhard (2003): Numerical solution of boundary value problems for stochastic differential equations on the basis of the Gibbs sampler. Sonderforschungsbereich 386, Discussion Paper 328

Abstract

To solve boundary value problems for linear systems of stochastic differential equations we propose and justify a numerical method based on the Gibbs sampler. In contrast to the technique which yields for linear systems an "exact" numerical solution, the proposed method is simpler to generalize for stochastic partial differential equations and nonlinear systems. Such generalizations are discussed as well.

• Dokumententyp: Paper
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Sonderforschungsbereich 386 ; Sonderforschungsbereiche > Sonderforschungsbereich 386
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch