02453nam a22002897a 4500 55791 55791 20191022124505.0 191022b ||||| |||| 00| 0 eng d 9789386235411 515.353 MAT Mattheij, Robert M. M. Partial differential equations : modeling, analysis, computation / Robert M M Mattheij Philadelphia : Society for Industrial and Applied Mathematics, 2005. xxxiii, 665 pages : illustrations ; 26 cm. SIAM monographs on mathematical modeling and computation. Differential 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. 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. Mathematics Analysis Differential equations, Partial -- Numerical solutions Differential equations, Partial -- Mathematical model Numerisches Verfahren Partielle Differentialgleichung Mattheij, Robert M. M. Rienstra, S. W.; Thije Boonkkamp, J. H. M. ten MDL 0 0 ddc 0 0 MDL SNUL 2019-10-22 0 515.353 MAT M051 2019-10-22 00:00:00 2019-10-22 MDL