Structure-preserving algorithms for oscillatory differential equations II:
Saved in:
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|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin
Springer
[2015]
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| Subjects: | |
| Online Access: | BHS01 BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XV, 298 p. 55 illus., 11 illus. in color) |
| ISBN: | 9783662481561 |
| DOI: | 10.1007/978-3-662-48156-1 |
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| adam_text | STRUCTURE-PRESERVING ALGORITHMS FOR OSCILLATORY DIFFERENTIAL EQUATIONS
II
/ WU, XINYUAN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
MATRIX-VARIATION-OF-CONSTANTS FORMULA
IMPROVED ST ¨ORMER-VERLET FORMULAE WITH APPLICATIONS
IMPROVED FILON-TYPE ASYMPTOTIC METHODS FOR HIGHLY OSCILLATORY
DIFFERENTIAL EQUATIONS
EFFICIENT ENERGY-PRESERVING INTEGRATORS FOR MULTI-FREQUENCY OSCILLATORY
HAMILTONIAN SYSTEMS
AN EXTENDED DISCRETE GRADIENT FORMULA FOR MULTI-FREQUENCY OSCILLATORY
HAMILTONIAN SYSTEMS
TRIGONOMETRIC FOURIER COLLOCATION METHODS FOR MULTI-FREQUENCY
OSCILLATORY SYSTEMS
ERROR BOUNDS FOR EXPLICIT ERKN INTEGRATORS FOR MULTI-FREQUENCY
OSCILLATORY SYSTEMS
ERROR ANALYSIS OF EXPLICIT TSERKN METHODS FOR HIGHLY OSCILLATORY SYSTEMS
HIGHLY ACCURATE EXPLICIT SYMPLECTIC ERKN METHODS FOR MULTI-FREQUENCY
OSCILLATORY HAMILTONIAN SYSTEMS
MULTIDIMENSIONAL ARKN METHODS FOR GENERAL MULTI-FREQUENCY OSCILLATORY
SECOND-ORDER IVPS
A SIMPLIFIED NYSTR¨OM-TREE THEORY FOR ERKN INTEGRATORS SOLVING
OSCILLATORY SYSTEMS
AN EFFICIENT HIGH-ORDER EXPLICIT SCHEME FOR SOLVING HAMILTONIAN
NONLINEAR WAVE EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STRUCTURE-PRESERVING ALGORITHMS FOR OSCILLATORY DIFFERENTIAL EQUATIONS
II
/ WU, XINYUAN
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK DESCRIBES A VARIETY OF HIGHLY EFFECTIVE AND EFFICIENT
STRUCTURE-PRESERVING ALGORITHMS FOR SECOND-ORDER OSCILLATORY
DIFFERENTIAL EQUATIONS. SUCH SYSTEMS ARISE IN MANY BRANCHES OF SCIENCE
AND ENGINEERING, AND THE EXAMPLES IN THE BOOK INCLUDE SYSTEMS FROM
QUANTUM PHYSICS, CELESTIAL MECHANICS AND ELECTRONICS. TO ACCURATELY
SIMULATE THE TRUE BEHAVIOR OF SUCH SYSTEMS, A NUMERICAL ALGORITHM MUST
PRESERVE AS MUCH AS POSSIBLE THEIR KEY STRUCTURAL PROPERTIES:
TIME-REVERSIBILITY, OSCILLATION, SYMPLECTICITY, AND ENERGY AND MOMENTUM
CONSERVATION. THE BOOK DESCRIBES NOVEL ADVANCES IN RKN METHODS, ERKN
METHODS, FILON-TYPE ASYMPTOTIC METHODS, AVF METHODS, AND TRIGONOMETRIC
FOURIER COLLOCATION METHODS. THE ACCURACY AND EFFICIENCY OF EACH OF
THESE ALGORITHMS ARE TESTED VIA CAREFUL NUMERICAL SIMULATIONS, AND THEIR
STRUCTURE-PRESERVING PROPERTIES ARE RIGOROUSLY ESTABLISHED BY
THEORETICAL ANALYSIS. THE BOOK ALSO GIVES INSIGHTS INTO THE PRACTICAL
IMPLEMENTATION OF THE METHODS. THIS BOOK IS INTENDED FOR ENGINEERS AND
SCIENTISTS INVESTIGATING OSCILLATORY SYSTEMS, AS WELL AS FOR TEACHERS
AND STUDENTS WHO ARE INTERESTED IN STRUCTURE-PRESERVING ALGORITHMS FOR
DIFFERENTIAL EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| discipline | Mathematik |
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| language | English |
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| spellingShingle | Wu, Xinyuan Structure-preserving algorithms for oscillatory differential equations II Engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics Computational Science and Engineering Ingenieurwissenschaften |
| title | Structure-preserving algorithms for oscillatory differential equations II |
| title_auth | Structure-preserving algorithms for oscillatory differential equations II |
| title_exact_search | Structure-preserving algorithms for oscillatory differential equations II |
| title_full | Structure-preserving algorithms for oscillatory differential equations II Xinyuan Wu, Kai Liu, Wei Shi |
| title_fullStr | Structure-preserving algorithms for oscillatory differential equations II Xinyuan Wu, Kai Liu, Wei Shi |
| title_full_unstemmed | Structure-preserving algorithms for oscillatory differential equations II Xinyuan Wu, Kai Liu, Wei Shi |
| title_short | Structure-preserving algorithms for oscillatory differential equations II |
| title_sort | structure preserving algorithms for oscillatory differential equations ii |
| topic | Engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics Computational Science and Engineering Ingenieurwissenschaften |
| topic_facet | Engineering Computer mathematics Physics Applied mathematics Engineering mathematics Appl.Mathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics Computational Science and Engineering Ingenieurwissenschaften |
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