Theoretical Numerical Analysis: A Functional Analysis FrameworkSpringer Science & Business Media, 7. jún. 2007 - 576 síður Mathematics 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. |
Efni
| 1 | |
5 | 43 |
Linear Operators on Normed Spaces | 50 |
Compact linear operators | 93 |
Approximation Theory | 113 |
ix | 128 |
Fourier Analysis and Wavelets | 199 |
Nonlinear Equations and Their Solution by Iteration 201 | 200 |
The Galerkin Method and Its Variants | 361 |
Finite Element Analysis | 377 |
Elliptic Variational Inequalities and Their Numerical | 412 |
Numerical Solution of Fredholm Integral Equations of | 447 |
14 | 451 |
38 | 476 |
41 | 487 |
Boundary Integral Equations | 523 |
Finite Difference Method | 249 |
Sobolev Spaces 273 | 272 |
1 | 303 |
Variational Formulations of Elliptic Boundary Value Prob | 323 |
| 554 | |
| 569 | |
Aðrar útgáfur - View all
Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han Takmarkað sýnishorn - 2007 |
Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han Takmarkað sýnishorn - 2006 |
Theoretical Numerical Analysis: A Functional Analysis Framework Kendall Atkinson,Weimin Han Takmarkað sýnishorn - 2001 |
Common terms and phrases
assumptions Banach space basis functions best approximation bilinear form boundary condition boundary value problem C(At coefficients compact operator computed consider constant continuous functions convergence convex defined definition denote differential equation discussion eigenvalues elliptic equivalent error bound error estimate Example Exercise exists finite element method finite element space fixed-point formula Fourier series Fréchet derivative function f Galerkin method Gâteaux given H¹(N Hilbert space inner product space integral equation integral operator interpolation iterative method kernel function Lax-Milgram Lemma linear functional linear operator linear space linear system Lipschitz domain matrix nodes nonlinear normed space numerical obtain piecewise linear proof Prove reference element result satisfies Section sequence Show smooth Sobolev spaces solving subset subspace trigonometric polynomials unique solution variational inequality vector wavelets weak derivative weak formulation
Vinsælir kaflar
Síða 4 - are linearly dependent if and only if at least one of the vectors can be expressed as a linear combination
Síða 559 - W. Freeden, T. Gervens, and M. Schreiner, Constructive Approximation on the Sphere, with Applications to Geomathematics, Oxford
Síða 559 - G. Fichera, Problemi elastostatici con vincoli unilateral!: il problema di Signorini con ambiguë condizioni al contorno, Mem. Accad. Naz. Lincei
Síða 5 - exactly the same number of vectors. This number is called the dimension of the
Síða 561 - M. Jaswon and G. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, 1977.