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Saturday, August 1, 2020 | History

8 edition of Multidimensional inverse problems for differential equations found in the catalog.

Multidimensional inverse problems for differential equations

by M. M. LavrentК№ev

  • 219 Want to read
  • 31 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Inverse problems (Differential equations)

  • Edition Notes

    Statement[by] Lavrentiev, Romanov [and] Vasiliev.
    SeriesLecture notes in mathematics,, 167, Lecture notes in mathematics (Springer-Verlag) ;, 167.
    ContributionsRomanov, V. G., Vasilʹev, V. G.
    Classifications
    LC ClassificationsQA3 .L28 no. 167
    The Physical Object
    Paginationv, 59 p.
    Number of Pages59
    ID Numbers
    Open LibraryOL5703405M
    ISBN 100387052828
    LC Control Number70140559

    For 1D wave equation inverse scattering problem, four procedures are included, i.e., time-depth conversion, Z transform, 1D spectral factorization and conversion of reflection and transmission coefficient to the coefficient of wave equation. In multidimensional or in the lateral velocity varying situation, the conceptions of 1D case should be. Hardback. Condition: New. ed. Language: English. Brand new Book. Elucidates the fundamental mathematical structures of inverse problems, analyzing both the information content and the solution of some inverse problems in which the information content of the coefficients and the source term of a given differential equation is not too large.

    This paper presents the application of the swarm intelligence algorithm for solving the inverse problem concerning the parameter identification. The paper examines the two-dimensional Riesz space fractional diffusion equation. Based on the values of the function (for the fixed points of the domain) which is the solution of the described differential equation, the order of the Riesz derivative. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are.

    direct problem—determining the solution of the differential Equation (1) with the given conditions; and finding the minimum of the objective function (6). Solution of the Direct Problem In order to solve the differential Equation (1) in the considered area we introduce a grid: S = f(iDx, jDy,kDt): Dx = L x N,Dy = y M,Dt = T K, i = 0,1.   The volume concludes with analyses on Fourier-Laplace multipliers, gradient estimates for Dirichlet parabolic problems, a nonlinear system of PDEs, and the complex Ginzburg-Landau equation. By combining direct and inverse problems into one book, this compilation is a useful reference for those working in the world of pure or applied mathematics.


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Multidimensional inverse problems for differential equations by M. M. LavrentК№ev Download PDF EPUB FB2

This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied.

Methods to construct a solution are given and, in certain cases, inversion formulas are given as by: Multidimensional Inverse Problems for Differential Equations. Authors; Lavrentiev; Romanov; Vasiliev; Book. 51 Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access.

Buy eBook. USD Differentialgleichung differential equation equation geometry wave equation. Multidimensional inverse problems for differential equations. Berlin, New York, Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: M M Lavrentʹev; V G Romanov; V G Vasilʹev.

Get this from a library. Multidimensional inverse problems for differential equations. [Mikhail Mikha'ilovich Lavrent'ev; V G Vasiliev; V G Romanov].

Operator Equations and Inverse Problems Inverse Problems for Kinetic Equations Geometry of Convex Surfaces in the Large and Inverse Problems of Scattering Theory Integral Geometry: Series Title: Inverse and ill-posed problems series.

Responsibility: Yu. Anikonov. Book Description. Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations is devoted to inverse scattering problems (ISPs) for differential equations and their application to nonlinear evolution equations (NLEEs). The book is suitable for anyone who has a mathematical background and interest in functional analysis, partial differential equations, equations.

Book. Multidimensional Inverse and Ill-Posed Problems for Differential Equations Details Author(s): Yu. Anikonov Edition: Originally published Publisher: De Gruyter. Citation Information. Multidimensional Inverse and Ill-Posed Problems for Differential Equations.

DE GRUYTER. Pages: – ISBN (Online): "The first edition of this excellent book appeared in and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. The second edition is considerably expanded and reflects important recent developments in the field.

Abstract. There is a deep connection between the theory of several complex variables and complex Clifford analysis.

We will use a Borel—Pompeiu formula in ℂ n and the representation of holomorphic functions obtained in the context of Clifford analysis to study the inverse scattering problem for an n-dimensional Schròdinger-type ons are found for reconstructing the potential.

Multidimensional Inverse and Ill-Posed Problems for Differential Equations. Series:Inverse and Ill-Posed Problems Series 4. See all formats and pricing eBook (PDF) Free shipping for non-business customers when ordering books at De Gruyter Online. Please find details to our shipping fees here.

RRP: Recommended Retail Price. Multidimensional Inverse Problems for Differential Equations. Authors: Lavrentiev, M. M., Romanov, Vladimir, Vasiliev, V. Free Preview. ISBN: OCLC Number: Description: VI, Seiten. Contents: Part 1 Operator equations and inverse problems: definition of quasimonotonicity, the uniqueness theorem; inverse problems for hyperbolic equations; multidimensional inverse kinematic problems of seismics; on the uniqueness of the solution of the Fredholm and Volterra first-kind integral equations.

One-Dimensional Inverse Problems for Electrodynamic Equations. and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations.

Get this from a library. Multidimensional Inverse and Ill-Posed Problems for Differential Equations. [Yu E Anikonov] -- This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation.

Questions of the. This allows for studying, for instance, inverse problems modeled by partial differential equations (PDE) [47, 45] and, more generally, infinite-dimensional inverse problems where the measurement. Multidimensional Inverse and Ill-Posed Problems for Differential Equations.

Series:Inverse Free shipping for non-business customers when ordering books at De Gruyter Online. Operator Equations and Inverse Problems. Download PDF. Citation Information. CHAPTER 1. Operator Equations and Inverse Problems (). Multidimensional Inverse and.

The study of one-dimensional and multi-dimensional inverse problems associated with the restoration of the coefficients of partial differential equations involved in Lavrentev et al. (), Romanov (), Anikonov et al. (), Namazov (), Guliev. Section Inverse Functions.

For each of the following functions find the inverse of the function. Verify your inverse by computing one or both of. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations.

In turn, the second part of the book. 2 1-dimensional waves16 TheSourceof the whole book could be downloaded as well. Also could Higher order equations (c)De nition, Cauchy problem, existence and uniqueness; Linear equations of order 2 (d)General theory, Cauchy problem, existence and uniqueness.Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems.

All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available.5/5(1).This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties.

The Nambu bracket is the central tool in developing this approach. The authors start characterizing the.