The Numerical Method Of Lines

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The Numerical Method Of Lines

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Author : William E. Schiesser
language : en
Publisher: Elsevier
Release Date : 2012-07-27

The Numerical Method Of Lines written by William E. Schiesser and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Mathematics categories.

This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."

An Introduction To The Numerical Method Of Lines Integration Of Partial Differential Equations

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Author : W. E. Schiesser
language : en
Publisher:
Release Date : 1984

An Introduction To The Numerical Method Of Lines Integration Of Partial Differential Equations written by W. E. Schiesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.

Computational Mathematics In Engineering And Applied Science

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Author : W.E. Schiesser
language : en
Publisher: CRC Press
Release Date : 2014-07-22

Computational Mathematics In Engineering And Applied Science written by W.E. Schiesser and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each

The Numerical Method Of Lines

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Author : Abigail J. Morley
language : en
Publisher: CreateSpace
Release Date : 2015-08-17

The Numerical Method Of Lines written by Abigail J. Morley and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-17 with categories.

This updated and expanded second edition of the The Numerical Method of Lines: Integration of Partial Differential Equations provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for all those interested in the subject . We hope you find this book useful in shaping your future career & Business. Feel free to send us your inquiries related to our publications to [email protected]

A Method Of Lines In The Numerical Solution Of Schr Dinger Equation

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Author : Lawal Sa'adu
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012

A Method Of Lines In The Numerical Solution Of Schr Dinger Equation written by Lawal Sa'adu and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Differential equations, Partial categories.

The Method of Lines (MOL) has been one of the simplest but effective technique for solving partial differential equations (PDEs) in which all but one dimension is discretized. This work describes numerical solution of 1-dimensional Schrodinger equation using the method of lines approach (MOL) where spatial dimensions were discretized using some finite difference approximation leaving the time dimension to be the only independent variable in the resulting system of initial value problems. The effect of changing the discretization size on the accuracy of the solution procedure versus changing the step size in the integration of the resulting differential equation was also studied with the incorporation of Simpson's rule function in MATLAB.

An Introduction To The Numerical Method Of Lines Integration Of Partial Differential Equations

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Author : W. E. Schiesser
language : en
Publisher:
Release Date : 1982

An Introduction To The Numerical Method Of Lines Integration Of Partial Differential Equations written by W. E. Schiesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Differential equations categories.

Numerical Methods For Ordinary Differential Equations

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Author : Alfredo Bellen
language : en
Publisher: Springer
Release Date : 2006-11-14

Numerical Methods For Ordinary Differential Equations written by Alfredo Bellen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Developments in numerical initial value ode methods were the focal topic of the meeting at L'Aquila which explord the connections between the classical background and new research areas such as differental-algebraic equations, delay integral and integro-differential equations, stability properties, continuous extensions (interpolants for Runge-Kutta methods and their applications, effective stepsize control, parallel algorithms for small- and large-scale parallel architectures). The resulting proceedings address many of these topics in both research and survey papers.

Cryocoolers 12

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Author : Ronald G. Jr. Ross
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08

Cryocoolers 12 written by Ronald G. Jr. Ross and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Science categories.

The last two years have witnessed a continuation in the breakthrough shift toward pulse tube cryocoolers for long-life, high-reliability cryocooler applications. One class of pulse tubes that has reached maturity is referred to as “Stirling type” because they are based on the linear Oxford Stirling-cooler type compressor; these generally provide cooling in the 30 to 100 K temperature range and operate at frequencies from 30 to 60 Hz. The other type of pulse tube cooler making great advances is the so-called “Gifford-McMahon type. ” Pulse tube coolers of this type use a G-M type compressor and lower frequency operation to achieve temperatures in the 2 to 10 K temperature range. Nearly a third of this proceedings covers these new developments in the pulse tube arena. Complementing the work on low-temperature pulse tubes is substantial continued progress on rare earth regenerator materials and Gifford-McMahon coolers. These technologies continue to make great progress in opening up the 2 - 4 K market. Also in the commercial sector, continued interest is being shown in the development of long-life, low-cost cryocoolers for the emerging high temperature superconductor electronics market, particularly the cellular telephone base-station market. At higher temperature levels, closed-cycle J-T or throttle-cycle refrigerators are taking advantage of mixed refrigerant gases to achieve low-cost cryocooler systems in the 65 to 80 K temperature range.

Computational Methods In Chemical Engineering With Maple

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Author : Ralph E. White
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-06

Computational Methods In Chemical Engineering With Maple written by Ralph E. White and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-06 with Science categories.

This book presents Maple solutions to a wide range of problems relevant to chemical engineers and others. Many of these solutions use Maple’s symbolic capability to help bridge the gap between analytical and numerical solutions. The readers are strongly encouraged to refer to the references included in the book for a better understanding of the physics involved, and for the mathematical analysis. This book was written for a senior undergraduate or a first year graduate student course in chemical engineering. Most of the examples in this book were done in Maple 10. However, the codes should run in the most recent version of Maple. We strongly encourage the readers to use the classic worksheet (*. mws) option in Maple as we believe it is more user-friendly and robust. In chapter one you will find an introduction to Maple which includes simple basics as a convenience for the reader such as plotting, solving linear and nonlinear equations, Laplace transformations, matrix operations, ‘do loop,’ and ‘while loop. ’ Chapter two presents linear ordinary differential equations in section 1 to include homogeneous and nonhomogeneous ODEs, solving systems of ODEs using the matrix exponential and Laplace transform method. In section two of chapter two, nonlinear ordinary differential equations are presented and include simultaneous series reactions, solving nonlinear ODEs with Maple’s ‘dsolve’ command, stop conditions, differential algebraic equations, and steady state solutions. Chapter three addresses boundary value problems.

Handbook Of Linear Partial Differential Equations For Engineers And Scientists

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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2015-12-23

Handbook Of Linear Partial Differential Equations For Engineers And Scientists written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.

This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.