Математическая физика
  • формат djvu
  • размер 7.23 МБ
  • добавлен 09 октября 2011 г.
Engl H.W., Hanke M., Neubauer A. Regularization of Inverse Problems
Kluwer Academic Publishers, 1996, 321 pages.
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
Introduction: Examples of Inverse Problems.
Ill-Posed Linear Operator Equations.
Regularization Operators.
Continuous Regularization Methods.
Tikhonov Regularization.
Iterative Regularization Methods.
The Conjugate Gradient Method.
Regularization With Differential Operators.
Numerical Realization.
Tikhonov Regularization of Nonlinear Problems.
Iterative Methods for Nonlinear Problems.
Смотрите также

Brebbia C.A., Katsikadelis J.T. Boundary Elements And Other Mesh Reduction Methods - XXVIII

  • формат pdf
  • размер 5.8 МБ
  • добавлен 08 июня 2011 г.
WIT Press, 2006. - 360 pages. This book contains the edited proceedings of the 28th World Conference on Boundary Elements, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists...

Brebbia C.A., Poljak D., Popov V. (editors) Boundary Elements and Other Mesh Reduction Methods - XXIX

  • формат pdf
  • размер 14.74 МБ
  • добавлен 08 июня 2011 г.
WIT Press, 2007. - 352 pages. The International Conference on Boundary Element and other Mesh Reduction Methods is now in its 29th year. The papers presented at the conference are contained in this volume. The continued success of this important meeting is due to the strength of the work carried out by the community since the original conference took place in Southampton in 1978. The current meeting continues with the tradition of innovation and...

Chu M.T., Golub G.H. Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

  • формат pdf
  • размер 7.43 МБ
  • добавлен 12 декабря 2010 г.
Oxford University Press, USA, 2005. - 406 pages. Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the theoretic issue on solvability and the practical issue on computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical propertie...

Cohen A., Numerical Analysis of Wavelet Methods

  • формат pdf
  • размер 13.93 МБ
  • добавлен 12 июня 2011 г.
The objectives of this book are to survey the theoretical results that are involved in the numerical analysis of wavelet methods, and more generally of multiscale decomposition methods, for numerical simulation problems, and to provide the most relevant examples of such mathematical tools in this particular context. Content: 1 Basic examples 1.1 Introduction 1.2 The Haar system 1.3 The Schauder hierarchical basis 1.4 Multivariate constructions 1...

Kiusalaas J. Numerical Methods In Engineering With Matlab

  • формат pdf
  • размер 7.74 МБ
  • добавлен 21 ноября 2009 г.
Cambridge University Press, 2005, 434 pp. , second edition. Contents. Introduction to MATLAB. Systems of Linear Algebraic Equations. Interpolation and Curve Fitting. Roots of Equations. Numerical Differentiation. Numerical Integration. Initial Value Problems. Two-Point Boundary Value Problems. Symmetric Matrix Eigenvalue Problems. Introduction to Optimization. Appendices. Index.

Lynch D.R. Numerical Partial Differential Equations for Environmental Scientists and Engineers: A First Practical Course

  • формат pdf
  • размер 15.49 МБ
  • добавлен 09 декабря 2010 г.
Springer, 2004. - 392 pages ISBN: 0387236198 This book concerns the practical solution of Partial Differential Equations (PDE). It reflects an interdisciplinary approach to problems occurring in natural Environmental Phenomena: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It assumes the reader has gained some intuitive knowledge of their solution properties and now wants to solve PDE?s for real, in the context o...

Na T.Y. Computational Methods in Engineering Boundary Value Problems

  • формат djvu
  • размер 1.52 МБ
  • добавлен 16 августа 2011 г.
Academic Press, 1980. - 346 Pages. Two-point boundary value problems occur in all branches of engineering and science. In these problems the boundary conditions are specified at two points. To complicate the matter, the governing differential equations for a majority of such problems are nonlinear; since analytic solutions do not in general exist, solutions have to be obtained by numerical methods. Methods for the numerical solution of such pro...

Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in C - The art of scientific computing

  • формат pdf
  • размер 5.29 МБ
  • добавлен 14 мая 2010 г.
ISBN 0-521-43108-5. Cambridge University Press - 1018 pages. Contents: Solution of linear algebraic equations. Interpolation and extrapolation. Integration of functions. Evaluation of functions. Special functions. Random numbers. Sorting. Root finding and nonlinear sets of equations. Minimization or maximization of functions. Eigensystems. Fast Fourier Transform. Fourier and spectrum applications. Statistical description of data. Modeling of data...

Santosa F., Stakgold I. (editors) Analytical and Computational Methods in Scattering and Applied Mathematics

  • формат djvu
  • размер 2.75 МБ
  • добавлен 28 февраля 2011 г.
Chapman and Hall/CRC, 2000. - 288 Pages. Most of the papers in this collection were presented at the International Conference in Applied Mathematics, held in memory of Ralph Ellis Kleinman in November 1998 at the University of Delaware. Additional papers were solicited from colleagues of Ralph's. Ralph Kleinman was an eminent researcher in wave propagation, scattering theory, and inverse problems. At the time of his death in February 1998, he w...

Trefethen L.N. Ten Digit Problems

  • формат pdf
  • размер 436.9 КБ
  • добавлен 19 сентября 2011 г.
Oxford University Mathematical Institute, eprint, 2011, 18 р. Most quantitative mathematical problems cannot be solved exactly,but there are powerful algorithms for solving many of them numerically to a specified degree of precision like ten digits or ten thousand. In this article three difficult problems of this kind are presented, and the story is told of the SIAM 100-Dollar, 100-Digit Challenge. The twists and turns along the way illustrate s...