1 M.L. Abell and J.P. Braselton, Differential Equations with Mathematica, 4th ed.,
Academic Press, 2016. 2 G. Birkhoff and ... 4 R.L. Borrelli and C.S. Coleman, Differential Equations: A Modeling Perspective, 2nd ed., Wiley, 2004. 5 W.E.
Boyce and R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 10th ed., Wiley, 2012. 6 J.R. Brannan ... New York, 2008. 9 C.H.
Edwards and D.E. Penney, Differential Equations and Boundary Value Problems: Computing ...

Author: Christian Constanda

Publisher: Springer

ISBN: 9783319502243

Category: Mathematics

Page: 297

View: 100

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference.

[2] Abell, Martha and Braselton, James, Introductory Differential Equations, Fourth Edition, Academic Press, 2014. [3] Apostol ... Differential Equations and Boundary Value Problems: Computing and Modeling, Fourth Edition, Pearson,
2007.

Author: Martha L. L. Abell

Publisher: Academic Press

ISBN: 9780128047774

Category: Mathematics

Page: 880

View: 562

Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities. Demonstrates how to take advantage of the advanced features of Mathematica 10 Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists, and practitioners in many fields Showcases practical applications and case studies drawn from biology, physics, and engineering

International Conference on Intelligent Computing, ICIC 2006, Kunming, China,
August 16-19, 2006, Proceedings De-Shuang Huang, George William Irwin ...
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification (2nd Ed). ... Edwards,
C.H., Penney, D.E.: Differential Equations and Boundary Value Problems, Computing and Modeling. ... Mendelson, E.: Introduction to Mathematical Logic ( 4th Ed) ...

Author: De-Shuang Huang

Publisher: Springer Science & Business Media

ISBN: 9783540372745

Category: Computers

Page: 1337

View: 473

This is the proceedings of the International Conference on Intelligent Computing, ICIC 2006, Kunming, China, August 2006. The book presents 165 revised full papers, carefully chosen and reviewed, organized in topical sections on fuzzy systems, fuzzy-neuro-evolutionary hybrids, supervised, unsupervised and reinforcement learning, intelligent agent and Web applications, intelligent fault diagnosis, natural language processing and expert systems, natural language human-machine interface using artificial neural networks, and intelligent financial engineering.

Accompanies a CD-ROM containing over 90 tools and applications of differential equations drawn from engineering, physics, chemistry, and biology. Covers first- and second-order differential equations, linear and nonlinear systems, Laplace transforms, and series solutions.

Computing and Modeling Charles Henry Edwards, David E. Penney. SI
THEOREM 1 : The Error in the Euler Method Suppose that the initial value problem f ( x ) continuas dy a = f ( x , y ) , y ( a ) ... proof of this theorem , but one
can be found in Chapter 7 of G . Birkhoff and G . - C . Rota , Ordinary Differential Equations , 4th ed .

Further reading R. Bronson and G. Costa, Differential Equations, 3d ed.,
Schaum's Outline Series, McGraw Hill, New York, 2006. ... H. Edwards and D.
Penny, Differential Equations and Boundary Value Problems—Computing and Modeling, Pearson Education, Upper Saddle River, NJ, 2004. ... E. D. Rainville
and P. E. Bedient, Short Course in Differential Equations, 4th ed., Macmillan,
New York, 1969.

Author: J. C. Das

Publisher: McGraw Hill Professional

ISBN: 9780071626033

Category: Technology & Engineering

Page: 736

View: 898

Detect and Mitigate Transients in Electrical Systems This practical guide explains how to identify the origin of disturbances in electrical systems and analyze them for effective mitigation and control. Transients in Electrical Systems considers all transient frequencies, ranging from 0.1 Hz to 50 MHz, and discusses transmission line and cable modeling as well as frequency dependent behavior. Results of EMTP simulations, solved examples, and detailed equations are included in this comprehensive resource. Transients in Electrical Systems covers: Transients in lumped circuits Control systems Lightning strokes, shielding, and backflashovers Transients of shunt capacitor banks Switching transients and temporary overvoltages Current interruption in AC circuits Symmetrical and unsymmetrical short-circuit currents Transient behavior of synchronous generators, induction and synchronous motors, and transformers Power electronic equipment Flicker, bus, transfer, and torsional vibrations Insulation coordination Gas insulated substations Transients in low-voltage and grounding systems Surge arresters DC systems, short-circuits, distributions, and HVDC Smart grids and wind power generation

Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

P.H Introduction to Differential Equations with Applications. Fred Brauer & John
Nohel 640p. 1985 text ed. 43.50scp (ISBN 0-06-040942-8, HarpC). Har-Row
Introduction to Differential Equations with Boundary Value Problems. 3rd ed.
William ...

In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces ...

Author: Valeri Agoshkov

Publisher: Springer Science & Business Media

ISBN: 0817639861

Category: Mathematics

Page: 278

View: 676

In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].

Elementary Differential Equations and Boundary Value Problems , 5th ed . Wiley
& Sons ... Scientific Computing and Differential Equations : An Introduction to
Numerical Methods . ... Svobony , T . Mathematical Modeling for Industry and
Engineering . ... C . , and Taylor , R . L . The Finite Element Method , 4th ed . , Vol
. 1 .

Author: Laurene V. Fausett

Publisher: Pearson

ISBN: UCSD:31822031908411

Category: Computers

Page: 649

View: 165

This book present the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a manner that is both interesting and understandable. Numerical Analysis with Applications and Algorithms includes comprehensive coverage of solving nonlinear equations of a single variable, numerical linear algebra, nonlinear functions of several variables, numerical methods for data interpolations and approximation, numerical differentiation and integration, and numerical techniques for solving differential equations. This book is useful as a reference for self study.

The book will be useful for researchers and engineers who apply advanced computer algebra methods for the solution of their problems.

Author: Viktor G. Ganzha

Publisher: Springer Science & Business Media

ISBN: 9783642566660

Category: Computers

Page: 555

View: 876

CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Author: Perry, Robert Howard PerryPublish On: 1997

Numerical Mathematics and Computing, Brooks/Cole, Monterey, CA (1980).
Churchill ... Fourier Series and Boundary Value Problems, 4th ed., McGraw-Hill,
New York (1987). , J. W. Brown, ... Collatz, L. The Numerical Treatment of Differential Equations, 3d ed., Springer-Verlag, Berlin and New York (1960). ...
Davis, M. E. Numerical Methods and Modeling for Chemical Engineers, Wiley,
New York (1984).

Author: Perry, Robert Howard Perry

Publisher: McGraw-Hill Professional Publishing

ISBN: 0070498415

Category: Chemical engineering

Page: 2640

View: 454

Reference work for chemical and process engineers. Newest developments, advances, achievements and methods in various fields.

Theory of cubulure formulas and the application of functional analysis to problems of mathematical physics ( Russian ) , pp . ... The connection between
this problem and the hyperbolic initial - boundary value problem at the domain
2X10 , 00 ) is ... of the solutions of a unilateral degenerate parabolic problem
relative to the equations : u , + ( 3 / 8x ) g ( ur ) - Ed Q ( u ) ... for a class of stiff problems . Computing methods in applied sciences and engineering ( Proc . Fourth Internat . Sympos .

... Schaum's Outline of Mathematical Handbook of Formulas and Tables, 4th ed .,
McGraw-Hill Education, New York, ... GENERAL The basic problems of the
sciences and engineering fall broadly into three categories: 1 . ... Appropriate
mathematical and numerical operations are carried out so that logical deductions
may be drawn from the mathematical model . 3 . ... 3-1), the solution must satisfy
the differential equation inside the region and the prescribed conditions on the boundary .

Author: Don W. Green

Publisher: McGraw Hill Professional

ISBN: 9780071834094

Category: Technology & Engineering

Page: 2352

View: 117

Up-to-Date Coverage of All Chemical Engineering Topics―from the Fundamentals to the State of the Art Now in its 85th Anniversary Edition, this industry-standard resource has equipped generations of engineers and chemists with vital information, data, and insights. Thoroughly revised to reflect the latest technological advances and processes, Perry's Chemical Engineers' Handbook, Ninth Edition, provides unsurpassed coverage of every aspect of chemical engineering. You will get comprehensive details on chemical processes, reactor modeling, biological processes, biochemical and membrane separation, process and chemical plant safety, and much more. This fully updated edition covers: Unit Conversion Factors and Symbols • Physical and Chemical Data including Prediction and Correlation of Physical Properties • Mathematics including Differential and Integral Calculus, Statistics , Optimization • Thermodynamics • Heat and Mass Transfer • Fluid and Particle Dynamics *Reaction Kinetics • Process Control and Instrumentation• Process Economics • Transport and Storage of Fluids • Heat Transfer Operations and Equipment • Psychrometry, Evaporative Cooling, and Solids Drying • Distillation • Gas Absorption and Gas-Liquid System Design • Liquid-Liquid Extraction Operations and Equipment • Adsorption and Ion Exchange • Gas-Solid Operations and Equipment • Liquid-Solid Operations and Equipment • Solid-Solid Operations and Equipment •Chemical Reactors • Bio-based Reactions and Processing • Waste Management including Air ,Wastewater and Solid Waste Management* Process Safety including Inherently Safer Design • Energy Resources, Conversion and Utilization* Materials of Construction

Author: Svetozar D. MargenovPublish On: 2009-02-07

This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008.

Author: Svetozar D. Margenov

Publisher: Springer

ISBN: 9783642004643

Category: Computers

Page: 636

View: 214

This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.