000			02439nam a22002657a 4500
999			_c195552 _d195552
003			LDD
005			20191111145604.0
008			191104b ||||| |||| 00| 0 eng d
020			_a9789386235411
040			_cIGNOU Library
082			_222 _a515.353 M431P
100			_aMattheij, R. M. M. _99096 _eauthor
245			_aPartial differential equations: _bmodeling, analysis, computation / _cR.M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp.
260			_aPhiladelphia ; _aHyderabad ; _bSociety for Industrial and Applied Mathematics _c2018.
300			_axxxiii, 665 pages : _c24 cm
490			_aSIAM monographs on mathematical modeling and computation.
500			_aGifted by NBHM
505			_aDifferential and difference equations -- Characterization and classification -- Fourrier theory -- Distribution and fundamental solutions -- Approximation by finite differences -- The equations of continuum mechanics and electromagnetics -- The art of modeling -- The analysis of elliptic equations -- Numerical methods for elliptic equations -- Analysis of parabolic equations -- Numerical methods for parabolic equations -- Analysis of hyperbolic equations -- Numerical methods for scalar hyperbolic equations -- Numerical methods for hyperbolic systems -- Perturbation methods -- Modeling, analyzing, and simulating problems from practice.
520			_aPartial differential equations (PDEs) are used to describe a large variety of physical phenomena, from fluid flow to electromagnetic fields, and are indispensable to such disparate fields as aircraft simulation and computer graphics. While most existing texts on PDEs deal with either analytical or numerical aspects of PDEs, this innovative and comprehensive textbook features a unique approach that integrates analysis and numerical solution methods and includes a third component - modeling - to address real-life problems. The authors believe that modeling can be learned only by doing; hence a separate chapter containing 16 user-friendly case studies of elliptic, parabolic, and hyperbolic equations is included and numerous exercises are included in all other chapters.
650			_aDifferential equations, Partial _xNumerical solutions. _93579
650			_aDifferential equations, Partial _xMathematical models. _93579
700			_aRienstra, S.W. _eauthor _99315
700			_aBoonkkamp, J.H.M. ten Thije _eauthor _99316
942			_2ddc _cG