Numerical Methods For Partial Differential Equations

@inproceedings{Bauer2016NumericalMF,
  title={Numerical Methods For Partial Differential Equations},
  author={Marcel Bauer},
  year={2016}
}
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References

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Numerical solution of partial differential equations by the finite element method
Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems,Expand
Numerical Approximation of Partial Differential Equations
This is the softcover reprint of the very popular hardcover edition. This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thoroughExpand
Finite Difference Schemes and Partial Differential Equations
Preface to the second edition Preface to the first edition 1. Hyperbolic partial differential equations 2. Analysis of finite difference Schemes 3. Order of accuracy of finite difference schemes 4.Expand
The Mathematical Theory of Finite Element Methods
Contents: Basic Concepts.- Sobolev Spaces.- Variational Formulation of Elliptic Boundary Value Problems.- The Construction of a Finite Element Space.- Polynomial Approximation Theory in SobolevExpand
Adaptive Numerical Solution of PDEs
TLDR
The theoretical derivation und analyses of algorithms are kept as elementary as possible in this book; the needed sligtly advanced mathematical theory is summarized in the appendix. Expand
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
— The paper is devoted to a gênerai finite element approximation ofthe solution of the Stokes équations for an incompressible viscous fluid, Both conforming and nonconforming finite element methodsExpand
The Theory of Difference Schemes
Preliminaries basic concepts of the theory of difference schemes homogeneous difference schemes difference schemes for elliptic equations different schemes for time-dependent equations with constantExpand
The finite element method for elliptic problems
  • P. Ciarlet
  • Engineering, Mathematics
  • Classics in applied mathematics
  • 2002
From the Publisher: This book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functionalExpand
Finite element interpolation of nonsmooth functions satisfying boundary conditions
In this paper, we propose a modified Lagrange type interpolation operator to approximate functions in Sobolev spaces by continuous piecewise polynomials. In order to define interpolators for "rough"Expand
Partial Differential Equations
THE appearance of these volumes marks the happy conclusion of a work undertaken, as the author reminds us in his preface, twenty-one years ago. Doubtless it would have been finished earlier had itExpand
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