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Current Challenges in Stability Issues for Numerical Differential Equations de Wolf-Jürgen Beyn

Current Challenges in Stability Issues for Numerical Differential Equations: Lecture Notes in Mathematics, cartea 2082

Autor Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro
en Limba Engleză Paperback – 18 dec 2013
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.
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Specificații

ISBN-13: 9783319012995
ISBN-10: 3319012991
Pagini: 328
Ilustrații: IX, 313 p. 121 illus., 105 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.5 kg
Ediția:2014
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Studies on current challenges in stability issues for numerical differential equations.- Long-Term Stability of Symmetric Partitioned Linear Multistep Methods.- Markov Chain Monte Carlo and Numerical Differential Equations.- Stability and Computation of Dynamic Patterns in PDEs.- Continuous Decompositions and Coalescing Eigen values for Matrices Depending on Parameters.- Stability of linear problems: joint spectral radius of sets of matrices.

Textul de pe ultima copertă

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.

Caracteristici

Accessible presentation on cutting edge techniques World leaders on their respective topics Ample and exhaustive references Didactic exposition on arguments not represented in textbooks Includes supplementary material: sn.pub/extras

Notă biografică

Yuri Aleksandrovich Kuznetsov (b. in Alma-Ata, USSR, September 8, 1957) received graduate degree in Theoretical Physics from the Rostov-on-Don State University, USSR, in 1979, and the Ph.D. in Physics and Mathematics from the Institute of Biophysics, USSR Academy of Sciences, Pushchino, Moscow Region, in 1986. From 1979 until 2007, he was affiliated with the Research Computing Center (later: Institute of Mathematical Problems of Biology), USSR /Russian Academy of Sciences, Pushchino, where he held different positions, including that of Senior Researcher. During 1991–1998, he visited as Invited Professor/Researcher IIASA (Laxenburg, Austria), Politecnico di Milano (Italy), CWI (Amsterdam, The Netherlands), and ENS (Paris/Lion, France). Since 1999 he is affiliated with Utrecht University (The Netherlands), being Associate Professor at the Department of Mathematics. In 2011, he was appointed as Professor of Numerical Bifurcation Methods at the University of Twente (Enschede, The Netherlands).

Wolf-Jürgen Beyn, born on April 6, 1949 in Hamburg (Germany), studied Mathematics, Physics, and Computer Science at the Universities of Hamburg and Münster (Germany). He graduated in Mathematics at the University of Münster in 1973 and received his PhD there in 1975. He worked as a Scientific Assistant at the Mathematics Institutes of the Universities of Münster (1976 – 1979) and Konstanz (1979 -1981). In 1981 he received his habilitation in Mathematics at the University of Konstanz, and he has been a lecturer ('Privatdozent') there till 1990. Research stays as visiting professor led him to the University of Calgary (Canada) in 1979, to the California Institute of Technology (Pasadena) in 1986, and to the Universities of New Mexico (Albuquerque) and Missouri (Columbia) during the period 1990-2011. In 1990 he was appointed Associate Professor of Mathematics at Bielefeld University (Germany), where he was promoted to full in 2002. Since then he has been the head of the Numerical Analysis group at the Faculty of Mathematics of Bielefeld University.

Odo Diekmann was born on April 14, 1948, in Diepenveen (the Netherlands). He studied mathematics and physics at the University of Amsterdam and received his PhD from that same university in 1978, with a thesis devoted to mathematical epidemiology of infectious diseases and nonlinear integral equations. He worked at the Centre for Mathematics and Computer Science CWI in Amsterdam from 1974 to 1995. From 1986 to 1995 this was combined with a part-time professorship (joint with J.A.J. Metz) at the Biology Department of Leiden University. In 1995 he became Professor in Applied Mathematics at Utrecht University (The Netherlands).