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Author:   D. Sloan (University of Strathclyde, Glasgow, G1 1XH, Scotland, UK) ,  S. Vandewalle (Katholieke Universiteit Leuven, Leuven (Haverlee), B-3001, Belgium) ,  E. Süli (Oxford University, Oxford, OX1 3QD, UK)
Publisher:   Elsevier Science & Technology
Imprint:   North-Holland
Volume:   7
Dimensions:   Width: 21.00cm , Height: 2.40cm , Length: 28.00cm
Weight:   0.760kg
ISBN:  

9780444506160

ISBN 10:   0444506160
Pages:   480
Publication Date:   10 July 2001
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

From finite differences to finite elements. A short history of numerical analysis of partial differential equations (V. Thomée). Orthogonal spline collocation methods for partial differential equations (B. Bialecki, G. Fairweather). Spectral methods for hyperbolic problems (D. Gottlieb, J.S. Hesthaven). Wavelet methods for PDEs N some recent developments (W. Dahmen). Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws (B. Cockburn). Adaptive Galerkin finite element methods for partial differential equations (R. Rannacher). The p and hp finite element method for problems on thin domains (M. Suri). Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow (D. Silvester, H. Elman, D. Kay, A. Wathen). A review of algebraic multigrid (K. Stüben). Geometric multigrid with applications to computational fluid dynamics (P. Wesseling, C.W. Oosterlee). The method of subspace corrections (J. Xu). Moving finite element, least squares, and finite volume approximations of steady and time-dependent PDEs in multidimensions (M.J. Baines). Adaptive mesh movement - the MMPDE approach and its applications (W. Huang, R.D. Russell). The geometric integration of scale-invariant ordinary and partial differential equations (C.J. Budd, M.D. Piggott). A summary of numerical methods for time-dependent advection-dominated partial differential equations (R.E. Ewing, H. Wang). Approximate factorization for time-dependent partial differential equations (P.J. van der Houwen, B.P. Sommeijer).

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