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Singular and Degenerate Cauchy Problems

Singular and Degenerate Cauchy Problems PDF Author:
Publisher: Academic Press
ISBN: 008095636X
Category : Mathematics
Languages : en
Pages : 343

Book Description
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

Singular and Degenerate Cauchy Problems

Singular and Degenerate Cauchy Problems PDF Author:
Publisher: Academic Press
ISBN: 008095636X
Category : Mathematics
Languages : en
Pages : 343

Book Description
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

Degenerate Parabolic Equations

Degenerate Parabolic Equations PDF Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 1461208955
Category : Mathematics
Languages : en
Pages : 402

Book Description
Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.

Differential Equations in Banach Spaces

Differential Equations in Banach Spaces PDF Author: Giovanni Dore
Publisher: CRC Press
ISBN: 1000117103
Category : Mathematics
Languages : en
Pages : 289

Book Description
This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.

Transmutation and Operator Differential Equations

Transmutation and Operator Differential Equations PDF Author:
Publisher: Elsevier
ISBN: 0080871488
Category : Mathematics
Languages : en
Pages : 259

Book Description
Transmutation and Operator Differential Equations

Singular and Degenerate Cauchy Problems

Singular and Degenerate Cauchy Problems PDF Author: Robert Wayne Carroll
Publisher:
ISBN: 9780121614508
Category : Cauchy problem
Languages : en
Pages : 333

Book Description


Elliptic and Parabolic Problems

Elliptic and Parabolic Problems PDF Author: C Bandle
Publisher: CRC Press
ISBN: 1000115275
Category : Mathematics
Languages : en
Pages : 272

Book Description
This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics, mechanics and engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------

Problems and Examples in Differential Equations

Problems and Examples in Differential Equations PDF Author: Piotr Biler
Publisher: CRC Press
ISBN: 1000104753
Category : Mathematics
Languages : en
Pages : 261

Book Description
This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative PDF Author: Gennadii V. Demidenko
Publisher: CRC Press
ISBN: 0824748514
Category : Mathematics
Languages : en
Pages : 506

Book Description
This text introduces a classification of equations and systems not solved with respect to the higher-order derivative, and studies boundary-value problems for these classes of equations. It includes mathematical results from S.L. Sobolev's study on the small oscillations of a rotating fluid.

Differential Equations in Banach Spaces

Differential Equations in Banach Spaces PDF Author: Angelo Favini
Publisher: Springer
ISBN: 3540473505
Category : Mathematics
Languages : en
Pages : 309

Book Description


Partial Differential Equations and the Calculus of Variations

Partial Differential Equations and the Calculus of Variations PDF Author: COLOMBINI
Publisher: Springer Science & Business Media
ISBN: 1461598311
Category : Mathematics
Languages : en
Pages : 503

Book Description
The Italian school of Mathematical Analysis has long and glo rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.