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A COMPLETELY DISCRETE PARTICLE MODEL DERIVED FROM A STOCHASTIC PARTIAL DIFFERENTIAL EQUATION BY POINT SYSTEMS

2011; World Scientific; Linguagem: Inglês

10.1142/9789814343763_0013

1793-5121

Karl‐Heinz Fichtner, Kei Inoue, Masanori Ohya,

Mathematical Biology Tumor Growth

QP-PQ: Quantum Probability and White Noise AnalysisQuantum Bio-Informatics IV, pp. 157-171 (2011) No AccessA COMPLETELY DISCRETE PARTICLE MODEL DERIVED FROM A STOCHASTIC PARTIAL DIFFERENTIAL EQUATION BY POINT SYSTEMSKARL-HEINZ FICHTNER, KEI INOUE, and MASANORI OHYAKARL-HEINZ FICHTNERFriedrich-Schiller-Universität Jena, Fakultät für Mathematik und Informatik, Institut für Angewandte Mathematik, 07737 Jena, Germany, KEI INOUEDepartment of Electrical Engineering, Tokyo University of Science, Yamaguchi, Sanyo-Onoda, Yamaguchi 756-0884, Japan, and MASANORI OHYADepartment of Information Sciences, Tokyo University of Science, Noda City, Chiba 278-8510, Japanhttps://doi.org/10.1142/9789814343763_0013Cited by:0 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: Several scientific and technical problems can be described by a stochastic partial differential equation. The solution of the equation could be considered as the limit of a suitable discrete particle model. The existence of such a kind of approximation was discussed in 5. A completely discrete particle model, which is constructed to simulate by computer, is considered in 3. In this paper we give proofs of some lemmas which are used to prove the main theorem in 3. FiguresReferencesRelatedDetails Quantum Bio-Informatics IVMetrics History PDF download