Books written by David J. Silvester

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  Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics

  [424] J. Pearson, M. Stoll, and A. Wathen, Regularization-robust preconditioners for time-dependent PDE-constrained optimization problems, SIAM J. Matrix Anal. Appl., 33 (2012), pp. 1126–1152. [230] J. Pearson and A. Wathen, ...

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  Essential Partial Differential Equations: Analytical and Computational Aspects

  1.7 Show that if φ satisfies the heat equation then the change of dependent variable u(x,t) = −2∂∂x logφ (x,t) (commonly referred to as the Cole–Hopf transformation) satisfies the nonlinear PDE ut + uu x = uxx (also known as the ...

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  Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics

  17–61. [184] F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, Springer, New York, 1991. [128, 153, 165, 407] F. Brezzi, T. J. R. Hughes, L. D. Marini, A. Russo, and E. Süli, A priori error analysis of residual-free ...

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  Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

  [280] F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, 1991. [223, 249, 261] F. Brezzi, T. J. R. Hughes, L. D. Marini, A. Russo, and E. Süli, A priori error analysis of residual-free bubbles ...

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  Essential Partial Differential Equations: Analytical and Computational Aspects

  This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs).

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  Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics

  The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow.

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  Finite Elements and Fast Iterative Solutions: With Applications in Incompressible Fluid Dynamics

  This introduction to finite elements, iterative linear solvers and scientific computing includes theoretical problems and practical exercises closely tied with freely downloadable MATLAB software.