000			02453nam a22002897a 4500
999			_c55791 _d55791
005			20191022124505.0
008			191022b ||||| |||| 00| 0 eng d
020			_a9789386235411
082			_a515.353 MAT
100			_aMattheij, Robert M. M.
245			_aPartial differential equations _b: modeling, analysis, computation _c/ Robert M M Mattheij
260			_aPhiladelphia _b: Society for Industrial and Applied Mathematics, _c2005.
300			_axxxiii, 665 pages _c : illustrations ; 26 cm.
490			_aSIAM monographs on mathematical modeling and computation.
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			_a Partial 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			_aMathematics
650			_a Analysis
650			_aDifferential equations, Partial -- Numerical solutions
650			_aDifferential equations, Partial -- Mathematical model
650			_aNumerisches Verfahren
650			_aPartielle Differentialgleichung
700			_aMattheij, Robert M. M.
700			_aRienstra, S. W.;
700			_aThije Boonkkamp, J. H. M. ten
942			_cMDL