Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi /

• Κύριοι συγγραφείς: Beyn, Wolf-Jürgen (Συγγραφέας), Dieci, Luca (Συγγραφέας), Guglielmi, Nicola (Συγγραφέας), Hairer, Ernst (Συγγραφέας), Sanz-Serna, Jesús María (Συγγραφέας), Zennaro, Marino (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Lecture Notes in Mathematics, 2082
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Algorithms.; Computational Mathematics and Numerical Analysis.; Applications of Mathematics.; Ordinary Differential Equations.; Partial Differential Equations.; Linear and Multilinear Algebras, Matrix Theory.
• Φυσική περιγραφή: IX, 313 p. 121 illus., 105 illus. in color. online resource.
• ISBN: 9783319013008
• ISSN: 0075-8434 ;

This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research.