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020 _a9781071604809
024 7 _a10.1007/978-1-0716-0480-9
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA221
_b2020 EB
100 _aJazar, Reza N.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_998123
245 1 0 _aApproximation Methods in Science and Engineering
_cby Reza N. Jazar.
250 _aFirst edition 2020.
264 1 _aNew York, NY
_bSpringer US
_c2020
300 _a1 recurso en línea (XVI, 537 páginas)
_b115 ilustraciones, 108 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aArchivo de texto
_bPDF
490 0 _aIntelligent Technologies and Robotics (Springer-42732)
505 0 _aLimits of mathematics -- Classification of nonlinearities -- Meaning of approximation solution -- Comparison among the Asymptotic, numerical, and exact solutions -- Methods of function approximation -- Approximate solution in time domain -- Limits of time series solution -- Steady state solution Lindstad-Poincare methods -- Averaging methods -- Multiple time scale methods -- Application of Lindstad-Poincare methods -- Application of Averaging methods -- Application of Multiple time scale methods -- Duffing equation -- Van der Pol equation -- Mathieu equation.
520 3 _aApproximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions. Covers practical model-prototype analysis and nondimensionalization of differential equations; Coverage includes approximate methods of responses of nonlinear differential equations; Discusses how to apply approximation methods to analysis, design, optimization, and control problems; Discusses how to implement approximation methods to new aspects of engineering and physics including nonlinear vibration and vehicle dynamics.
988 _aSpringer_Robotics_31032020
650 7 _2embne
_aAproximación, Teoría de la
_9160958
776 0 8 _iPrinted edition:
_z9781071604786
776 0 8 _iPrinted edition:
_z9781071604793
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-1-0716-0480-9
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2020
_dz
_ek
_zSI