Format:
XVII, 644 S. :
,
Ill., graph. Darst.
Edition:
2. ed.
ISBN:
3-540-30663-3
,
978-3-540-30663-4
Series Statement:
Springer series in computational mathematics 31
Content:
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches. The second edition is substantially revised and enlarged, with many improvements in the presentation and additions concerning in particular non-canonical Hamiltonian systems, highly oscillatory mechanical systems, and the dynamics of multistep methods.
Language:
English
Subjects:
Mathematics
Keywords:
Gewöhnliche Differentialgleichung
;
Numerische Integration
;
Lehrbuch
URL:
http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014742360&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
URL:
http://digitale-objekte.hbz-nrw.de/webclient/DeliveryManager?pid=1517455&custom_att_2=simple_viewer
URL:
http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014742360&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Author information:
Lubich, Christian 1959-
Author information:
Hairer, Ernst 1949-
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