Solution of Initial Value Problems in Classes of Generalized Analytic Functions, Wolfgang Tutschke
Автор: Helmut Florian; Klaus Hackl; Franz Josef Schnitzer Название: Generalized Analytic Functions ISBN: 079235043X ISBN-13(EAN): 9780792350439 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers contributions on generalized analytic functions that deal with problems in the complex plane (boundary value and initial value problems), investigate related problems in higher dimensions where both several complex variables and the technique of Clifford Analysis are used. This title focuses on the applications to Mechanics.
Автор: Yuri L. Rodin Название: Generalized Analytic Functions on Riemann Surfaces ISBN: 3540185720 ISBN-13(EAN): 9783540185727 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Helmut Florian; Klaus Hackl; Franz Josef Schnitzer Название: Generalized Analytic Functions ISBN: 1461333342 ISBN-13(EAN): 9781461333340 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An intensive development of the theory of generalized analytic functions started when methods of Complex Analysis were combined with methods of Functional Analysis, especially with the concept of distributional solutions to partial differential equations.
Автор: Yakimov, A Название: Analytical Solution Methods for Boundary Value Problems ISBN: 0128042893 ISBN-13(EAN): 9780128042892 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Analytical Solution Methods for Boundary Value Problems is an extensively revised, new English language edition of the original 2011 Russian language work, which provides deep analysis methods and exact solutions for mathematical physicists seeking to model germane linear and nonlinear boundary problems. Current analytical solutions of equations within mathematical physics fail completely to meet boundary conditions of the second and third kind, and are wholly obtained by the defunct theory of series. These solutions are also obtained for linear partial differential equations of the second order. They do not apply to solutions of partial differential equations of the first order and they are incapable of solving nonlinear boundary value problems.
Analytical Solution Methods for Boundary Value Problems attempts to resolve this issue, using quasi-linearization methods, operational calculus and spatial variable splitting to identify the exact and approximate analytical solutions of three-dimensional non-linear partial differential equations of the first and second order. The work does so uniquely using all analytical formulas for solving equations of mathematical physics without using the theory of series. Within this work, pertinent solutions of linear and nonlinear boundary problems are stated. On the basis of quasi-linearization, operational calculation and splitting on spatial variables, the exact and approached analytical solutions of the equations are obtained in private derivatives of the first and second order. Conditions of unequivocal resolvability of a nonlinear boundary problem are found and the estimation of speed of convergence of iterative process is given. On an example of trial functions results of comparison of the analytical solution are given which have been obtained on suggested mathematical technology, with the exact solution of boundary problems and with the numerical solutions on well-known methods.
Автор: Molahajloo Shahla Название: Pseudo-Differential Operators, Generalized Functions and Asy ISBN: 3034805845 ISBN-13(EAN): 9783034805841 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Consists of twenty peer-reviewed papers from the special session on pseudo differential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples` Friendship University of Russia in Moscow on August 22a`27, 2011.
Автор: Shahla Molahajloo; Stevan Pilipovi?; Joachim Toft; Название: Pseudo-Differential Operators, Generalized Functions and Asymptotics ISBN: 3034808038 ISBN-13(EAN): 9783034808033 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.
Автор: Stevan Pilipovi?; Joachim Toft Название: Pseudo-Differential Operators and Generalized Functions ISBN: 3319146173 ISBN-13(EAN): 9783319146171 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.
Автор: Stevan Pilipovi?; Joachim Toft Название: Pseudo-Differential Operators and Generalized Functions ISBN: 3319381113 ISBN-13(EAN): 9783319381114 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis.
Автор: E. Gekeler Название: Discretization Methods for Stable Initial Value Problems ISBN: 3540128808 ISBN-13(EAN): 9783540128809 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hebe de Azevedo Biagioni Название: A Nonlinear Theory of Generalized Functions ISBN: 3540524088 ISBN-13(EAN): 9783540524083 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to a nonlinear theory of generalized functions introduced by J F Colombeau, which gives a meaning to any multiplication of distributions. It is suitable for mathematicians, physicists and engineers.
Автор: V.S. Vladimirov; Yu.N. Drozzinov; O.I. Zavialov Название: Tauberian Theorems for Generalized Functions ISBN: 9027723834 ISBN-13(EAN): 9789027723833 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;
Описание: Deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. This work is suitable for researchers working in ordinary differential equations, partial differential equations and various fields of applications.
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