The One Dimensional Heat Equation

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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.

An Implicit Numerical Method For Solving The Two Dimensional Heat Equation

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Author : George A. Baker
language : en
Publisher:
Release Date : 1958

An Implicit Numerical Method For Solving The Two Dimensional Heat Equation written by George A. Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Heat equation categories.

The One Dimensional Heat Equation And Its Associated Volterra Integral Equations

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Author : Bartur Jumarhon
language : en
Publisher:
Release Date : 1994

The One Dimensional Heat Equation And Its Associated Volterra Integral Equations written by Bartur Jumarhon 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.

On The Cauchy Problem For The One Dimensional Heat Equation

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Author : Felix Elias Ginsberg
language : en
Publisher:
Release Date : 1963

On The Cauchy Problem For The One Dimensional Heat Equation written by Felix Elias Ginsberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.

Behavior At A Corner For Solutions Of The One Dimensional Heat Equation

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Author : Roger N. Pederson
language : en
Publisher:
Release Date : 1995

Behavior At A Corner For Solutions Of The One Dimensional Heat Equation written by Roger N. Pederson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Boundary value problems categories.

Asymptotic Mass Distribution For The One Dimensional Heat Equation With Stationary Potential

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Author : Anja Voß-Böhme
language : en
Publisher:
Release Date : 1998

Asymptotic Mass Distribution For The One Dimensional Heat Equation With Stationary Potential written by Anja Voß-Böhme and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Random Walk And The Heat Equation

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Author : Gregory F. Lawler
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-11-22

Random Walk And The Heat Equation written by Gregory F. Lawler 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 2010-11-22 with Mathematics categories.

The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.

Numerical Solution Of One Dimensional Heat Equation Using Finite Difference Method

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Author : Nor Hazwani Mohammad
language : en
Publisher:
Release Date : 2012

Numerical Solution Of One Dimensional Heat Equation Using Finite Difference Method written by Nor Hazwani Mohammad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Solving One Dimensional Heat Equation And Ground Water Flow Modeling Using Finite Difference Method

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Author : Nur Fariha Abd Jalil
language : en
Publisher:
Release Date : 2014

Solving One Dimensional Heat Equation And Ground Water Flow Modeling Using Finite Difference Method written by Nur Fariha Abd Jalil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Heat equation categories.

Heat

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Author : C. M. King
language : en
Publisher:
Release Date : 1959

Heat written by C. M. King and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Heat categories.