Current Challenges in Stability Issues for Numerical Differential Equations
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 Ordi
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lf-Jürgen Beyn · Luca Dieci Nicola Guglielmi · Ernst Hairer Jesús María Sanz-Serna · Marino Zennaro
Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011 Editors: Luca Dieci, Nicola Guglielmi
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan B. Teissier, Paris
For further volumes: http://www.springer.com/series/304
2082
Fondazione C.I.M.E., Firenze C.I.M.E. stands for Centro Internazionale Matematico Estivo, that is, International Mathematical Summer Centre. Conceived in the early fifties, it was born in 1954 in Florence, Italy, and welcomed by the world mathematical community: it continues successfully, year for year, to this day. Many mathematicians from all over the world have been involved in a way or another in C.I.M.E.’s activities over the years. The main purpose and mode of functioning of the Centre may be summarised as follows: every year, during the summer, sessions on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. A Session is generally based on three or four main courses given by specialists of international renown, plus a certain number of seminars, and is held in an attractive rural location in Italy. The aim of a C.I.M.E. session is to bring to the attention of younger researchers the origins, development, and perspectives of some very active branch of mathematical research. The topics of the courses are generally of international resonance. The full immersion atmosphere of the courses and the daily exchange among participants are thus an initiation to international collaboration in mathematical research. C.I.M.E. Director Pietro ZECCA Dipartimento di Energetica “S. Stecco” Universit`a di Firenze Via S. Marta, 3 50139 Florence Italy e-mail: [email protected]
C.I.M.E. Secretary Elvira MASCOLO Dipartimento di Matematica “U. Dini” Universit`a di Firenze viale G.B. Morgagni 67/A 50134 Florence Italy e-mail: [email protected]
For more information see CIME’s homepage: http://www.cime.unifi.it CIME activity is carried out with the collaboration and financial support of: - INdAM (Istituto Nazionale di Alta Matematica) - MIUR (Ministero dell’Istruzione, dell’Universit`a e della Ricerca)
Wolf-J¨urgen Beyn • Luca Dieci Nicola Guglielmi • Ernst Hairer Jes´us Mar´ıa Sanz-Serna • Marino Zennaro
Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011 Editors: Luca Dieci Nicola Guglielmi
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Wolf-J¨urgen Beyn Department of Mathematics University of Bielefeld Bielefeld, Germany
Luca Dieci School of Mathematics Georgia Institute of Technology Atlanta, GE, USA
Nicola Guglielmi Dipartimento di Ingegneria, Scienze Informatiche Matematica Universit`a dell’Aquila L’Aquila, Italy
Ernst Hairer Section de math´ematiques Universit´e de Gen`eve Gen`eve, Switzerland
Jes´us Mar´ıa Sanz-Serna Departamento de Matem´atica Aplicada Universidad de Valladolid Valladolid, Spain
Marino Zennaro Dipartimento di Matematica e Geoscienze Universit`a di Trieste Trieste
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