000			03894nam a22003375i 4500
001			103276
003			DE-He213
005			20230102113123.0
007			cr nn 008mamaa
008			160302s2015 gw | s |||| 0|eng d
020			_a9783662481561
024	7		_a10.1007/978-3-662-48156-1 _2doi
050		4	_aQA372 _b.W895 2015 EB
040			_aES-MaUEC _bspa
100	1		_aWu, Xinyuan _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/no2013096337 _1http://viaf.org/viaf/312879470/
245	1	0	_aStructure-Preserving Algorithms for Oscillatory Differential Equations II _cby Xinyuan Wu, Kai Liu, Wei Shi.
250			_a1st edition
264		1	_aBerlin, Heidelberg _bSpringer International Publishing _c2015
300			_a1 recurso en línea (XV, 298 páginas 55 ilustraciones, 11 ilustraciones a color.)
505	0		_aMatrix-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.
520	3		_aThis 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.
650		7	_aEcuaciones diferenciales no lineales _9666962 _2embne
700	1		_aLiu, Kai _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/n89602905 _1http://viaf.org/viaf/76463787/
700	1		_aShi, Wei _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/n85213342 _1http://viaf.org/viaf/99276871/
776	0	8	_iEdición impresa: _z9783662481554
776	0	8	_iEdición impresa: _z9783662481578
776	0	8	_iEdición impresa: _z9783662569139
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-662-48156-1 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
490	0		_aEngineering (Springer-11647)
998			_b03/2019 _dz _ef _feng _ggw _h0
999			_c103276 _d103276 _x1