Mixed Problems For Degenerate Hyperbolic Equations

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Singular and Degenerate Cauchy Problems

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Author :
Publisher : Academic Press
ISBN 13 : 008095636X
Total Pages : 343 pages
Book Rating : 4.0/5 (89 download)

Book Synopsis Singular and Degenerate Cauchy Problems by :

Download or read book Singular and Degenerate Cauchy Problems written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

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Author : Thomas H. Otway
Publisher : Springer Science & Business Media
ISBN 13 : 3642244149
Total Pages : 219 pages
Book Rating : 4.6/5 (422 download)

Book Synopsis The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type by : Thomas H. Otway

Download or read book The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type written by Thomas H. Otway and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)

Transmutation, Scattering Theory and Special Functions

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Author : R. Carroll
Publisher : Elsevier
ISBN 13 : 0080871801
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)

Book Synopsis Transmutation, Scattering Theory and Special Functions by : R. Carroll

Download or read book Transmutation, Scattering Theory and Special Functions written by R. Carroll and published by Elsevier. This book was released on 2011-08-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transmutation, Scattering Theory and Special Functions

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena

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Author : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
Publisher : American Mathematical Soc.
ISBN 13 : 082184976X
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena by : Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations

Download or read book Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena written by Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations and published by American Mathematical Soc.. This book was released on 2010-10-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations.

Hyperbolic Problems: Theory, Numerics and Applications

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Author : Eitan Tadmor
Publisher : American Mathematical Soc.
ISBN 13 : 0821847295
Total Pages : 361 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Hyperbolic Problems: Theory, Numerics and Applications by : Eitan Tadmor

Download or read book Hyperbolic Problems: Theory, Numerics and Applications written by Eitan Tadmor and published by American Mathematical Soc.. This book was released on 2009 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.

Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop

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Author : Helmut Florian
Publisher : World Scientific
ISBN 13 : 9814490008
Total Pages : 473 pages
Book Rating : 4.8/5 (144 download)

Book Synopsis Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop by : Helmut Florian

Download or read book Functional-analytic And Complex Methods, Their Interactions, And Applications To Partial Differential Equations - Proceedings Of The International Graz Workshop written by Helmut Florian and published by World Scientific. This book was released on 2001-11-12 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex analysis has developed methods (such as the theory of generalized analytic functions) for solving very general classes of partial differential equations.This book is aimed at promoting further interactions of functional analysis, partial differential equations, and complex analysis including its generalizations such as Clifford analysis. New interesting problems in the field of partial differential equations concern, for instance, the Dirichlet problem for hyperbolic equations. Applications to mathematical physics address mainly Maxwell's equations, crystal optics, dynamical problems for cusped bars, and conservation laws. remove /a remove

Encyclopaedia of Mathematics

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Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9781556080050
Total Pages : 620 pages
Book Rating : 4.0/5 (8 download)

Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Boundary Value Problems, Integral Equations and Related Problems

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Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814327859
Total Pages : 436 pages
Book Rating : 4.8/5 (143 download)

Book Synopsis Boundary Value Problems, Integral Equations and Related Problems by : Guo Chun Wen

Download or read book Boundary Value Problems, Integral Equations and Related Problems written by Guo Chun Wen and published by World Scientific. This book was released on 2011 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, we report new results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theory and methods for inverse problems of mathematical physics, Clifford analysis and related problems. Contributors include: L Baratchart, B L Chen, D C Chen, S S Ding, K Q Lan, A Farajzadeh, M G Fei, T Kosztolowicz, A Makin, T Qian, J M Rassias, J Ryan, C-Q Ru, P Schiavone, P Wang, Q S Zhang, X Y Zhang, S Y Du, H Y Gao, X Li, Y Y Qiao, G C Wen, Z T Zhang, etc.

Handbook of Differential Equations: Evolutionary Equations

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Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080461387
Total Pages : 677 pages
Book Rating : 4.0/5 (84 download)

Book Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos

Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2005-10-05 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today.. Volume I of this Handbook does focus on the abstract theory of evolutionary equations. . Volume 2 considers more concrete problems relating to specific applications. . Together they provide a panorama of this amazingly complex and rapidly developing branch of mathematics.

The Mathematics of Finite Elements and Applications X (MAFELAP 1999)

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Author : J.R. Whiteman
Publisher : Elsevier
ISBN 13 : 0080548687
Total Pages : 431 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis The Mathematics of Finite Elements and Applications X (MAFELAP 1999) by : J.R. Whiteman

Download or read book The Mathematics of Finite Elements and Applications X (MAFELAP 1999) written by J.R. Whiteman and published by Elsevier. This book was released on 2000-06-26 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time.This latest conference, in the MAFELAP series, followed the well established MAFELAP pattern of bringing together mathematicians, engineers and others interested in the field to discuss finite element techniques.In the MAFELAP context finite elements have always been interpreted in a broad and inclusive manner, including techniques such as finite difference, finite volume and boundary element methods as well as actual finite element methods. Twenty-six papers were carefully selected for this book out of the 180 presentations made at the conference, and all of these reflect this style and approach to finite elements. The increasing importance of modelling, in addition to numerical discretization, error estimation and adaptivity was also studied in MAFELAP 1999.

Extended Abstracts MWCAPDE 2023

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Author : Michael Ruzhansky
Publisher : Springer Nature
ISBN 13 : 3031416651
Total Pages : 239 pages
Book Rating : 4.0/5 (314 download)

Book Synopsis Extended Abstracts MWCAPDE 2023 by : Michael Ruzhansky

Download or read book Extended Abstracts MWCAPDE 2023 written by Michael Ruzhansky and published by Springer Nature. This book was released on with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Partial Differential Equations

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Author : You-lan Zhu
Publisher : Springer
ISBN 13 : 3540481265
Total Pages : 255 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Numerical Methods for Partial Differential Equations by : You-lan Zhu

Download or read book Numerical Methods for Partial Differential Equations written by You-lan Zhu and published by Springer. This book was released on 2006-11-15 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings of the first Chinese Conference on Numerical Methods for Partial Differential Equations covers topics such as difference methods, finite element methods, spectral methods, splitting methods, parallel algorithm etc., their theoretical foundation and applications to engineering. Numerical methods both for boundary value problems of elliptic equations and for initial-boundary value problems of evolution equations, such as hyperbolic systems and parabolic equations, are involved. The 16 papers of this volume present recent or new unpublished results and provide a good overview of current research being done in this field in China.

Boundary Value Problems in the Spaces of Distributions

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Author : Y. Roitberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401592756
Total Pages : 289 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Boundary Value Problems in the Spaces of Distributions by : Y. Roitberg

Download or read book Boundary Value Problems in the Spaces of Distributions written by Y. Roitberg and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents elliptic, parabolic and hyperbolic boundary value problems for systems of mixed orders (Douglis-Nirenberg systems). For these problems the `theorem on complete collection of isomorphisms' is proven. Several applications in elasticity and hydrodynamics are treated. The book requires familiarity with the elements of functional analysis, the theory of partial differential equations, and the theory of generalized functions. Audience: This work will be of interest to graduate students and research mathematicians involved in areas such as functional analysis, partial differential equations, operator theory, the mathematics of mechanics, elasticity and viscoelasticity.

Analysis of Singularities for Partial Differential Equations

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Author : Shuxing Chen
Publisher : World Scientific
ISBN 13 : 9814304832
Total Pages : 207 pages
Book Rating : 4.8/5 (143 download)

Book Synopsis Analysis of Singularities for Partial Differential Equations by : Shuxing Chen

Download or read book Analysis of Singularities for Partial Differential Equations written by Shuxing Chen and published by World Scientific. This book was released on 2011 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.

I.G.Petrovskii:Selected Wrks P

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Author : Olga Oleinik
Publisher : Taylor & Francis
ISBN 13 : 1000943984
Total Pages : 568 pages
Book Rating : 4.0/5 (9 download)

Book Synopsis I.G.Petrovskii:Selected Wrks P by : Olga Oleinik

Download or read book I.G.Petrovskii:Selected Wrks P written by Olga Oleinik and published by Taylor & Francis. This book was released on 2023-05-31 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real algebraic manifolds.

Geometry, Analysis And Mechanics

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Author : John Michael Rassias
Publisher : World Scientific
ISBN 13 : 9814506028
Total Pages : 392 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Geometry, Analysis And Mechanics by : John Michael Rassias

Download or read book Geometry, Analysis And Mechanics written by John Michael Rassias and published by World Scientific. This book was released on 1995-01-10 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume consists of articles by outstanding scientists who explore Archimedes' influence on the development of mathematics, particularly on Geometry, Analysis and Mechanics.

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.X/5 (6 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: