000			04175nam a2200373 i 4500
001			000579808
005			20240105151358.0
008			130129s2011 enkad rb 001 0 eng d
010			_a2011020759
020			_a9781107096547 (hardback)
020			_a1107096545 (hardback)
035			_a381884
040			_aDLC _bspa _cDLC _erda _dUIASF
050		4	_aTA 342 _bE13.2011
100	1		_aE, Weinan, _d1963- _eautor
245	1	0	_aPrinciples of multiscale modeling / _cWeinan E.
250			_aFirst published.
260			_aCambridge ; _aNew York : _bCambridge University Press, _c2011.
300			_axvii, 466 páginas : _bilustraciones (algunas color), gráficas ; _c26 cm
336			_atexto _2rdacontent
337			_asinmedio _2rdamedia
338			_avolumen _2rdacarrier
520			_a"Physical phenomena can be modeled at varying degrees of complexity and at different scales. Multiscale modeling provides a framework, based on fundamental principles, for constructing mathematical and computational models of such phenomena, by examining the connection between models at different scales. This book, by a leading contributor to the field, is the first to provide a unified treatment of the subject, covering, in a systematic way, the general principles of multiscale models, algorithms and analysis. After discussing the basic techniques and introducing the fundamental physical models, the author focuses on the two most typical applications of multiscale modeling: capturing macroscale behavior and resolving local events. The treatment is complemented by chapters that deal with more specific problems. Throughout, the author strikes a balance between precision and accessibility, providing sufficient detail to enable the reader to understand the underlying principles without allowing technicalities to get in the way"--
520			_a"Physical phenomena can be modeled at varying degrees of complexity and at different scales. Multiscale modeling provides a framework, based on fundamental principles, for constructing mathematical and computational models of such phenomena by examining the connection between models at different scales. This book, by one of the leading contributors to the field, is the first to provide a unified treatment of the subject, covering, in a systematic way, the general principles of multiscale models, algorithms and analysis. The book begins with a discussion of the analytical techniques in multiscale analysis, including matched asymptotics, averaging, homogenization, renormalization group methods and the Mori-Zwanzig formalism. A summary of the classical numerical techniques that use multiscale ideas is also provided. This is followed by a discussion of the physical principles and physical laws at different scales. The author then focuses on the two most typical applications of multiscale modeling: capturing macroscale behavior and resolving local events. The treatment is complemented by chapters that deal with more specific problems, ranging from differential equations with multiscale coefficients to time scale problems and rare events. Each chapter ends with an extensive list of references to which the reader can refer for further details. Throughout, the author strikes a balance between precision and accessibility, providing sufficient detail to enable the reader to understand the underlying principles without allowing technicalities to get in the way. Whenever possible, simple examples are used to illustrate the underlying ideas"--
504			_aIncluye referencias bibliográficas e índice.
505	8		_aMachine generated contents note: Preface; 1. Introduction; 2. Analytical methods; 3. Classical multiscale algorithms; 4. The hierarchy of physical models; 5. Examples of multi-physics models; 6. Capturing the macroscale behavior; 7. Resolving local events or singularities; 8. Elliptic equations with multiscale coefficients; 9. Problems with multiple time scales; 10. Rare events; 11. Some perspectives; Index.
650		0	_aMultiscale modeling.
650		4	_aModelado multiescala
905			_a01
942			_cNEWBFXC1
999			_c547935 _d547935
980			_851 _gRonald RUIZ