000			02171nam a2200217 a 4500
020			_a9780521418553
020			_a0521418550
020			_a9780521429221
020			_a0521429226
082			_a515.353 _bMOR
100			_aMorton,K.W.
245			_aNumerical Solution of Partial Differential Equations
260			_aNew York : _bCambridge University Press, _c1994.
300			_a227 pages : _billustrations ;
500			_aBibliography & Index
505			_aIntroduction -- Parabolic equations in one space variable -- Parabolic equations in two and three dimensions -- Hyperbolic equations in one space dimension -- Consistency, convergence and stability -- LInear second order elliptic equations in two dimensions -- Iterative solution of linear algebraic equations.
520			_a Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasize finite difference methods for simple examples of parabolic, hyperbolic and elliptic equations; finite element, finite volume and spectral methods are discussed briefly to see how they relate to the main theme. Stability is treated clearly and rigorously using maximum principles, energy methods, and discrete Fourier analysis. Methods are described in detail for simple problems, accompanied by typical graphical results. A key feature is the thorough analysis of the properties of these methods. Plenty of examples and exercises of varying difficulty are supplied. The book is based on the extensive teaching experience of the authors, who are also well-known for their work on practical and theoretical aspects of numerical analysis. It will be an excellent choice for students and teachers in mathematics, engineering and computer science departments seeking a concise introduction to the subject.
650			_aDifferential equations, Partial -- Numerical solutions.
700			_aMayers, D.F.
942			_cREF
999			_c36613 _d36613