Geiser J. Decomposition Methods for Differential Equations: Theory and Applications

формат pdf
размер 7.94 МБ
добавлен 12 декабря 2010 г.

CRC, 2009. - 304 pages.

Exploring iterative operator-splitting methods, this work describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It generalizes the numerical analysis with respect to the consistency and stability to nonlinear, stiff, and spatial decomposed splitting problems. The book focuses on parabolic and hyperbolic equations, including convection-diffusion-reaction, heat, and wave equations, and applies the results to computational science issues, such as flow problems, elastic-wave propagation, heat transfer, and micromagnetic problems. Software tools are listed in an appendix.

Смотрите также

Badiale M., Serra E. Semilinear Elliptic Equations for Beginners: Existence Results via the Variational Approach

формат pdf
размер 1.35 МБ
добавлен 11 февраля 2011 г.

Springer, 2010. - 199 pages. Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field...

Bernatz R. Fourier Series and Numerical Methods for Partial Differential Equations

формат pdf
размер 3.66 МБ
добавлен 12 декабря 2010 г.

Wiley, 2010. - 318 pages. The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for...

Copson E.T. Partial Differential Equations

формат djvu
размер 1.91 МБ
добавлен 10 декабря 2010 г.

Cambridge University Press, 1975. - 292 p. In this book, Professor Copson gives a rigorous account of the theory of partial differential equations of the first order and of linear partial differential equations of the second order, using the methods of classical analysis. In spite of the advent of computers and the applications of the methods of functional analysis to the theory of partial differential equations, the classical theory retains its...

Fattorini H.O., Kerber A. The Cauchy Problem

формат pdf
размер 5.57 МБ
добавлен 29 октября 2011 г.

Cаmbridge Univеrsity Prеss, 1984. - 668 pages. This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schr?dinger and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and...

Jost J. Partial Differential Equations

формат pdf
размер 13.77 МБ
добавлен 10 декабря 2010 г.

Second Edition. Springer, 2007. - 356 pages. This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and c...

Kracht M., Kreyszig E. Methods of Complex Analysis in Partial Differential Equations with Applications

формат pdf
размер 6.58 МБ
добавлен 10 декабря 2010 г.

John Wiley & Sons Inc, 1988. - 410 pages. This book is devoted to the development of complex function theoretic methods in partial differential equations and to the study of analytic behaviour of solutions. It presents basic facts of the subject and includes recent results, emphasizing the method of integral operators and the method of differential operators. The first chapter gives a motivation for and the underlying ideas of, the later chap...

Rabinowitz P.H. Minimax Methods in Critical Point Theory with Applications to Differential Equations

формат pdf
размер 3.38 МБ
добавлен 11 декабря 2010 г.

American Mathematical Society, 1986. - 100 Pages. The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple crit...

Taylor M.E. Partial Differential Equations: Basic Theory

формат djvu
размер 5.69 МБ
добавлен 09 января 2011 г.

Springer, 1999. - 563 pages. This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic probl...

Weinberger H.F. A First Course in Partial Differential Equations: with Complex Variables and Transform Methods

формат djvu
размер 4.11 МБ
добавлен 10 декабря 2010 г.

New York: Dover Publications, 1995. - 480 pages It has become customary at many colleges and universities to teach undergraduate courses in boundary value problems, Fourier series, and integral transforms. These courses usually emphasize the Fourier series or Laplace transforms, and then treat some problems in partial differential equations as applications. In teaching such a course, the author has found two detrimental effects on students. Th...

Wloka J., Rowley B., Lawruk B. Boundary Value Problems for Elliptic Systems

формат djvu
размер 7.69 МБ
добавлен 29 октября 2011 г.

Cambridge University Press, 1995. - 658 pages. The theory of boundary value problems for elliptic systems of partial differential equations has many applications in mathematics and the physical sciences. The aim of this book is to "algebraize" the index theory by means of pseudo-differential operators and new methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work ef...