Discrete and Continuous Boundary Problems

Discrete and Continuous Boundary Problems PDF Author: Atkinson
Publisher: Academic Press
ISBN: 0080955169
Category : Computers
Languages : en
Pages : 586

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Book Description
Discrete and Continuous Boundary Problems

Discrete and Continuous Boundary Problems

Discrete and Continuous Boundary Problems PDF Author: Atkinson
Publisher: Academic Press
ISBN: 0080955169
Category : Computers
Languages : en
Pages : 586

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Book Description
Discrete and Continuous Boundary Problems

Discrete and Continuous Boundary Problems

Discrete and Continuous Boundary Problems PDF Author: Joseph Callaway
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Discrete and Continuous Inverse Boundary Problems on a Disc

Discrete and Continuous Inverse Boundary Problems on a Disc PDF Author: David V. Ingerman
Publisher:
ISBN:
Category : Inverse problems (Differential equations)
Languages : en
Pages : 79

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On the Existence of Solutions to Discrete and Continuous Boundary Value Problems

On the Existence of Solutions to Discrete and Continuous Boundary Value Problems PDF Author: Christopher Clement Tisdell
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 220

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Book Description


Optimal Stopping and Free-Boundary Problems

Optimal Stopping and Free-Boundary Problems PDF Author: Goran Peskir
Publisher: Springer Science & Business Media
ISBN: 3764373903
Category : Mathematics
Languages : en
Pages : 515

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Book Description
This book discloses a fascinating connection between optimal stopping problems in probability and free-boundary problems. It focuses on key examples and the theory of optimal stopping is exposed at its basic principles in discrete and continuous time covering martingale and Markovian methods. Methods of solution explained range from change of time, space, and measure, to more recent ones such as local time-space calculus and nonlinear integral equations. A chapter on stochastic processes makes the material more accessible. The book will appeal to those wishing to master stochastic calculus via fundamental examples. Areas of application include financial mathematics, financial engineering, and mathematical statistics.

Discrete and Continous Boundary Problems...

Discrete and Continous Boundary Problems... PDF Author: F.V.. Atkinson
Publisher:
ISBN:
Category :
Languages : en
Pages : 570

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Free Boundary Problems Involving Solids

Free Boundary Problems Involving Solids PDF Author: J M Chadam
Publisher: CRC Press
ISBN: 9780582087675
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.

Boundary Value Problems and Singular Pseudo-Differential Operators

Boundary Value Problems and Singular Pseudo-Differential Operators PDF Author: Bert-Wolfgang Schulze
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 664

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Book Description
With this volume, Wolfgang Schulze presents a study of pseudo-differential operators on singular spaces, and also of developments of the concept of ellipticity in operator algebra.

Boundary Value Problems on Time Scales, Volume I

Boundary Value Problems on Time Scales, Volume I PDF Author: Svetlin G. Georgiev
Publisher: CRC Press
ISBN: 100042989X
Category : Mathematics
Languages : en
Pages : 324

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Book Description
Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Free Boundary Problems in PDEs and Particle Systems

Free Boundary Problems in PDEs and Particle Systems PDF Author: Gioia Carinci
Publisher: Springer
ISBN: 3319333704
Category : Mathematics
Languages : en
Pages : 106

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Book Description
In this volume a theory for models of transport in the presence of a free boundary is developed.Macroscopic laws of transport are described by PDE's. When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed. In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases.All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms.In general researchers interested in the relations between PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics.