Solution Of Differential Equation Models By Polynomial Approximation
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Solution Of Differential Equation Models By Polynomial Approximation
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Author : John Villadsen
language : en
Publisher: Prentice Hall
Release Date : 1978
Solution Of Differential Equation Models By Polynomial Approximation written by John Villadsen and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Approximation theory categories.
Polynomial Approximation Of Differential Equations
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Author : Daniele Funaro
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-04
Polynomial Approximation Of Differential Equations written by Daniele Funaro 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 2008-10-04 with Science categories.
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spectral methods provide a competitive alternative to other standard approximation techniques, for a large variety of problems. Initial ap plications were concerned with the investigation of periodic solutions of boundary value problems using trigonometric polynomials. Subsequently, the analysis was extended to algebraic polynomials. Expansions in orthogonal basis functions were preferred, due to their high accuracy and flexibility in computations. The aim of this book is to present a preliminary mathematical background for be ginners who wish to study and perform numerical experiments, or who wish to improve their skill in order to tackle more specific applications. In addition, it furnishes a com prehensive collection of basic formulas and theorems that are useful for implementations at any level of complexity. We tried to maintain an elementary exposition so that no experience in functional analysis is required.
Handbook Of Differential Equations
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Author : Daniel Zwillinger
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Handbook Of Differential Equations written by Daniel Zwillinger and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
Numerical Integration Of Differential Equations And Large Linear Systems
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Author : J. Hinze
language : en
Publisher: Springer
Release Date : 2006-11-15
Numerical Integration Of Differential Equations And Large Linear Systems written by J. Hinze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Computational Differential Equations
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Author : Kenneth Eriksson
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-05
Computational Differential Equations written by Kenneth Eriksson 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 1996-09-05 with Mathematics categories.
This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.
Fundamental Bioengineering
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Author : John Villadsen
language : en
Publisher: John Wiley & Sons
Release Date : 2016-02-23
Fundamental Bioengineering written by John Villadsen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-23 with Science categories.
A thorough introduction to the basics of bioengineering, with a focus on applications in the emerging "white" biotechnology industry. As such, this latest volume in the "Advanced Biotechnology" series covers the principles for the design and analysis of industrial bioprocesses as well as the design of bioremediation systems, and several biomedical applications. No fewer than seven chapters introduce stoichiometry, kinetics, thermodynamics and the design of ideal and real bioreactors, illustrated by more than 50 practical examples. Further chapters deal with the tools that enable an understanding of the behavior of cell cultures and enzymatically catalyzed reactions, while others discuss the analysis of cultures at the level of the cell, as well as structural frameworks for the successful scale-up of bioreactions. In addition, a short survey of downstream processing options and the control of bioreactions is given. With contributions from leading experts in industry and academia, this is a comprehensive source of information peer-reviewed by experts in the field.
Digital Simulation In Electrochemistry
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Author : Dieter Britz
language : en
Publisher: Springer
Release Date : 2016-05-09
Digital Simulation In Electrochemistry written by Dieter Britz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-09 with Science categories.
This book explains how the partial differential equations (pdes) in electroanalytical chemistry can be solved numerically. It guides the reader through the topic in a very didactic way, by first introducing and discussing the basic equations along with some model systems as test cases systematically. Then it outlines basic numerical approximations for derivatives and techniques for the numerical solution of ordinary differential equations. Finally, more complicated methods for approaching the pdes are derived. The authors describe major implicit methods in detail and show how to handle homogeneous chemical reactions, even including coupled and nonlinear cases. On this basis, more advanced techniques are briefly sketched and some of the commercially available programs are discussed. In this way the reader is systematically guided and can learn the tools for approaching his own electrochemical simulation problems. This new fourth edition has been carefully revised, updated and extended compared to the previous edition (Lecture Notes in Physics Vol. 666). It contains new material describing migration effects, as well as arrays of ultramicroelectrodes. It is thus the most comprehensive and didactic introduction to the topic of electrochemical simulation.
Cell Electrophoresis
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Author : Johann Bauer
language : en
Publisher: CRC Press
Release Date : 2020-07-24
Cell Electrophoresis written by Johann Bauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Science categories.
This book presents a summary of the application and instrumentation of cell electrophoresis. The method of making cell purification and characterization possible according to the cellular negative surface charge density is discussed, and ideas for future developments are explained. The negative electrostatic forces at cell surfaces provide information about cell-cell interaction, blood vessel sealing, cytokine actions, cell transformation, ion transport phenomena, and other biological phenomena. Recalculations of the physical principles of cell electrophoresis reveal possibilities for removing disruptive factors caused by electrical current, heat, and sedimentation. The introduction of computer technology, the performance of simultaneous two-parameter measurements, and the application of cell-friendly but current-inert buffer systems render the method more reliable and efficient.
Euro Par 96 Parallel Processing
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Author : Luc Bougé
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-08-14
Euro Par 96 Parallel Processing written by Luc Bougé 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 1996-08-14 with Computers categories.
Content Description #Includes bibliographical references and index.