Solving Odes With Matlab

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Solving ODEs with MATLAB

Lawrence F. Shampine,I. Gladwell,S. Thompson
Solving ODEs with MATLAB Book PDF

Author : Lawrence F. Shampine,I. Gladwell,S. Thompson
Publisher : Cambridge University Press
Page : 276 pages
File Size : 43,8 Mb
Release : 2003-04-28
Category : Computers
ISBN : 0521530946

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Solving ODEs with MATLAB by Lawrence F. Shampine,I. Gladwell,S. Thompson Pdf

This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

Differential Equations and Linear Algebra

Gilbert Strang
Differential Equations and Linear Algebra Book PDF

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 0 pages
File Size : 50,7 Mb
Release : 2015-02-12
Category : Mathematics
ISBN : 0980232791

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Differential Equations and Linear Algebra by Gilbert Strang Pdf

Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB

Alain Vande Wouwer,Philippe Saucez,Carlos Vilas
Simulation of ODE PDE Models with MATLAB OCTAVE and SCILAB Book PDF

Author : Alain Vande Wouwer,Philippe Saucez,Carlos Vilas
Publisher : Springer
Page : 406 pages
File Size : 47,8 Mb
Release : 2014-06-07
Category : Technology & Engineering
ISBN : 9783319067902

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Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB by Alain Vande Wouwer,Philippe Saucez,Carlos Vilas Pdf

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration. Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs. Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.

Numerical Computing with MATLAB

Cleve B. Moler
Numerical Computing with MATLAB Book PDF

Author : Cleve B. Moler
Publisher : SIAM
Page : 340 pages
File Size : 43,5 Mb
Release : 2010-08-12
Category : Computers
ISBN : 9780898716603

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Numerical Computing with MATLAB by Cleve B. Moler Pdf

A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

Differential Equation Solutions with MATLAB®

Dingyü Xue
Differential Equation Solutions with MATLAB Book PDF

Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 451 pages
File Size : 41,7 Mb
Release : 2020-04-06
Category : Computers
ISBN : 9783110675252

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Differential Equation Solutions with MATLAB® by Dingyü Xue Pdf

This book focuses the solutions of differential equations with MATLAB. Analytical solutions of differential equations are explored first, followed by the numerical solutions of different types of ordinary differential equations (ODEs), as well as the universal block diagram based schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.

Ordinary Differential Equations for Engineers

Ali Ümit Keskin
Ordinary Differential Equations for Engineers Book PDF

Author : Ali Ümit Keskin
Publisher : Springer
Page : 786 pages
File Size : 41,6 Mb
Release : 2018-09-01
Category : Technology & Engineering
ISBN : 9783319952437

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Ordinary Differential Equations for Engineers by Ali Ümit Keskin Pdf

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.

Programming for Computations - MATLAB/Octave

Svein Linge,Hans Petter Langtangen
Programming for Computations MATLAB Octave Book PDF

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 228 pages
File Size : 50,7 Mb
Release : 2016-08-01
Category : Computers
ISBN : 9783319324524

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Programming for Computations - MATLAB/Octave by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Practical MATLAB Modeling with Simulink

Sulaymon L. Eshkabilov
Practical MATLAB Modeling with Simulink Book PDF

Author : Sulaymon L. Eshkabilov
Publisher : Apress
Page : 483 pages
File Size : 41,6 Mb
Release : 2020-04-07
Category : Computers
ISBN : 9781484257999

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Practical MATLAB Modeling with Simulink by Sulaymon L. Eshkabilov Pdf

Employ the essential and hands-on tools and functions of MATLAB's ordinary differential equation (ODE) and partial differential equation (PDE) packages, which are explained and demonstrated via interactive examples and case studies. This book contains dozens of simulations and solved problems via m-files/scripts and Simulink models which help you to learn programming and modeling of more difficult, complex problems that involve the use of ODEs and PDEs. You’ll become efficient with many of the built-in tools and functions of MATLAB/Simulink while solving more complex engineering and scientific computing problems that require and use differential equations. Practical MATLAB Modeling with Simulink explains various practical issues of programming and modelling. After reading and using this book, you'll be proficient at using MATLAB and applying the source code from the book's examples as templates for your own projects in data science or engineering. What You Will LearnModel complex problems using MATLAB and SimulinkGain the programming and modeling essentials of MATLAB using ODEs and PDEsUse numerical methods to solve 1st and 2nd order ODEsSolve stiff, higher order, coupled, and implicit ODEsEmploy numerical methods to solve 1st and 2nd order linear PDEsSolve stiff, higher order, coupled, and implicit PDEsWho This Book Is For Engineers, programmers, data scientists, and students majoring in engineering, applied/industrial math, data science, and scientific computing. This book continues where Apress' Beginning MATLAB and Simulink leaves off.

MATLAB and Its Applications in Engineering

Raj Kumar Bansal,Ashok K. Goel,Manoj Kumar Sharma
MATLAB and Its Applications in Engineering Book PDF

Author : Raj Kumar Bansal,Ashok K. Goel,Manoj Kumar Sharma
Publisher : Pearson Education India
Page : 556 pages
File Size : 53,9 Mb
Release : 2009
Category : Computers
ISBN : 8131716813

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MATLAB and Its Applications in Engineering by Raj Kumar Bansal,Ashok K. Goel,Manoj Kumar Sharma Pdf

The book serves to be both a textbook and a reference for the theory and laboratory courses offered to undergraduate and graduate engineering students, and for practicing engineers.

Numerical Solution of Ordinary Differential Equations

Kendall Atkinson,Weimin Han,David E. Stewart
Numerical Solution of Ordinary Differential Equations Book PDF

Author : Kendall Atkinson,Weimin Han,David E. Stewart
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 42,6 Mb
Release : 2011-10-24
Category : Mathematics
ISBN : 9781118164525

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Numerical Solution of Ordinary Differential Equations by Kendall Atkinson,Weimin Han,David E. Stewart Pdf

A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.

Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB

H.J. Lee,W.E. Schiesser
Ordinary and Partial Differential Equation Routines in C C Fortran Java Maple and MATLAB Book PDF

Author : H.J. Lee,W.E. Schiesser
Publisher : CRC Press
Page : 528 pages
File Size : 52,7 Mb
Release : 2003-11-24
Category : Mathematics
ISBN : 9780203010518

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Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB by H.J. Lee,W.E. Schiesser Pdf

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin

Programming for Computations - Python

Svein Linge,Hans Petter Langtangen
Programming for Computations Python Book PDF

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 244 pages
File Size : 48,8 Mb
Release : 2016-07-25
Category : Computers
ISBN : 9783319324289

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

A Compendium of Partial Differential Equation Models

William E. Schiesser,Graham W. Griffiths
A Compendium of Partial Differential Equation Models Book PDF

Author : William E. Schiesser,Graham W. Griffiths
Publisher : Cambridge University Press
Page : 491 pages
File Size : 50,7 Mb
Release : 2009-03-16
Category : Computers
ISBN : 9780521519861

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A Compendium of Partial Differential Equation Models by William E. Schiesser,Graham W. Griffiths Pdf

Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.

Finite Difference Methods for Ordinary and Partial Differential Equations

Randall J. LeVeque
Finite Difference Methods for Ordinary and Partial Differential Equations Book PDF

Author : Randall J. LeVeque
Publisher : SIAM
Page : 356 pages
File Size : 44,8 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 0898717833

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Finite Difference Methods for Ordinary and Partial Differential Equations by Randall J. LeVeque Pdf

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Solving Differential Equations in R

Karline Soetaert,Jeff Cash,Francesca Mazzia
Solving Differential Equations in R Book PDF

Author : Karline Soetaert,Jeff Cash,Francesca Mazzia
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 52,9 Mb
Release : 2012-06-06
Category : Computers
ISBN : 9783642280702

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Solving Differential Equations in R by Karline Soetaert,Jeff Cash,Francesca Mazzia Pdf

Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.