## Theoretical Numerical Analysis: A Functional Analysis FrameworkMathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Linear Spaces | 1 |

Linear Operators on Normed Spaces 51 | 50 |

Approximation Theory | 113 |

Fourier Analysis and Wavelets | 161 |

Nonlinear Equations and Their Solution by Iteration 201 | 200 |

Finite Difference Method | 249 |

Sobolev Spaces 273 | 272 |

lems | 323 |

The Galerkin Method and Its Variants | 361 |

Elliptic Variational Inequalities and Their Numerical | 412 |

Numerical Solution of Fredholm Integral Equations of | 447 |

Boundary Integral Equations | 523 |

554 | |

569 | |

### Other editions - View all

Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han Limited preview - 2007 |

Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han Limited preview - 2006 |

Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han No preview available - 2008 |

### Common terms and phrases

analysis apply approximation Assume assumptions Banach space basis bilinear boundary value problem bounded called Chapter closed compact complete computed condition consider constant continuous convergence convex defined Definition denote derivative difference differentiable discussion domain equal equivalent error estimate Example Exercise exists extended Find finite element formula Fourier series function give given Hence Hilbert space holds implies important inequality inner product integral equation interpolation introduce iteration kind Lemma linear operator linear system Lipschitz mapping matrix method nodes norm normed space Note numerical obtain operator orthogonal partial piecewise polynomials positive projection proof properties Prove Recall reference relation respect result satisfying scheme sequence Show shown side smooth Sobolev spaces solving subset subspace Theorem theory tion transform uniform unique solution usually variational vector write

### Popular passages

Page 559 - W. Freeden, T. Gervens, and M. Schreiner, Constructive Approximation on the Sphere, with Applications to Geomathematics, Oxford

Page 559 - G. Fichera, Problemi elastostatici con vincoli unilateral!: il problema di Signorini con ambiguë condizioni al contorno, Mem. Accad. Naz. Lincei

Page 561 - M. Jaswon and G. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, 1977.