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Approximations For A Cauchy Problem For The Heat Equation


Approximations For A Cauchy Problem For The Heat Equation
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Approximations For A Cauchy Problem For The Heat Equation


Approximations For A Cauchy Problem For The Heat Equation
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Author : Lars Eldén
language : en
Publisher:
Release Date : 1985

Approximations For A Cauchy Problem For The Heat Equation written by Lars Eldén and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.




Hyperbolic Approximations For A Cauchy Problem For The Heat Equation


Hyperbolic Approximations For A Cauchy Problem For The Heat Equation
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Author : Lars Eldén
language : en
Publisher:
Release Date : 1987

Hyperbolic Approximations For A Cauchy Problem For The Heat Equation written by Lars Eldén and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.




Numerical Approximation Of A Cauchy Problem For A Parabolic Partial Differential Equation


Numerical Approximation Of A Cauchy Problem For A Parabolic Partial Differential Equation
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Author : Richard E. Ewing
language : en
Publisher:
Release Date : 1978

Numerical Approximation Of A Cauchy Problem For A Parabolic Partial Differential Equation written by Richard E. Ewing and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Approximation computation categories.


In many physical problems in heat conduction, it is impossible to obtain an initial temperature distribution within a material. In many of these cases, in order to obtain approximations of the temperature within the body, one must rely entirely upon data which can be measured at the boundary. An additional problem is that these boundary data are only accurate to within some prescribed measurement errors. The purpose of this paper is to define a procedure for numerically approximating the solution of one such heat flow problem and to present explicit error estimates for the numerical procedure. A priori error estimates are presented when the data are known only approximately.



Some Aspects Of Cauchy S Problem


Some Aspects Of Cauchy S Problem
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Author : Elinar Hille
language : en
Publisher:
Release Date : 1954

Some Aspects Of Cauchy S Problem written by Elinar Hille and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Cauchy problem categories.




The One Dimensional Heat Equation


The One Dimensional Heat Equation
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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

The One Dimensional Heat Equation written by John Rozier Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.


This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.



On The Cauchy Problem


On The Cauchy Problem
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Author : Sigeru Mizohata
language : en
Publisher: Academic Press
Release Date : 2014-05-10

On The Cauchy Problem written by Sigeru Mizohata and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.



The Porous Medium Equation


The Porous Medium Equation
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Author : Juan Luis Vazquez
language : en
Publisher: Clarendon Press
Release Date : 2006-10-26

The Porous Medium Equation written by Juan Luis Vazquez and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-26 with Mathematics categories.


The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.



Seven Papers On Equations Related To Mechanics And Heat


Seven Papers On Equations Related To Mechanics And Heat
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1968-12-31

Seven Papers On Equations Related To Mechanics And Heat written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-12-31 with categories.




Automatic Integration Of The Heat Equation


Automatic Integration Of The Heat Equation
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Author : Michael H. Ostrar
language : en
Publisher:
Release Date : 1975

Automatic Integration Of The Heat Equation written by Michael H. Ostrar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Heat equation categories.




Uniqueness In The Cauchy Problem For The Heat Equation


Uniqueness In The Cauchy Problem For The Heat Equation
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Author : Soon-Yeong Chung
language : en
Publisher:
Release Date : 1994

Uniqueness In The Cauchy Problem For The Heat Equation written by Soon-Yeong Chung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.