Exact finite-difference schemes / / edited by Sergey Lemeshevsky, Piotr Matus, Dmitriy Poliakov

• Record Nr.: UNINA9910819657603321
• Pubbl/distr/stampa: Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016; ©2016
• ISBN: 3-11-048972-4; 3-11-049132-X
• Descrizione fisica: 1 online resource (248 pages)
• Disciplina: 515/.62
• Soggetti: Finite differences; Differential-difference equations; Differential equations; Numerical analysis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Frontmatter -- Preface -- Contents -- Basic notation -- Preliminary results / Lemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- Hyperbolic equations / Lemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- Parabolic equations / Lemeshevsky, Sergey / Matus, Piotr / Poliakov, Dmitriy -- Use of exact difference schemes to construct NSFD discretizations of differential equations / Mickens, Ronald E. / Washington, Talitha M. -- Exact and truncated difference schemes for boundary-value problem / Gavrilyuk, Ivan / Kutniv, Myroslav / Makarov, Volodymyr -- Exact difference schemes for stochastic differential equations / Jerez, Silvia / Díaz-Infante, Saúl -- Numerical blow-up time / Kozera, Ryszard / Paradzinska, Agnieszka / Schadinskii, Denis -- List of contributors
• Sommario/riassunto: Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for ; stochastic differential equations. Contents:Basic notationPreliminary resultsHyperbolic equationsParabolic equationsUse of exact difference schemes to construct NSFD discretizations of differential equationsExact and truncated difference schemes for boundary-value problemExact difference schemes for stochastic differential equationsNumerical blow-up timeBibliography