Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Author: Alexander Stanoyevitch
Publisher: John Wiley & Sons
Published: 2011-10-14
Total Pages: 834
ISBN-13: 1118031504
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Introduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists
Author: William Bober
Publisher: CRC Press
Published: 2013-11-12
Total Pages: 544
ISBN-13: 146657609X
DOWNLOAD EBOOKIntroduction to Numerical and Analytical Methods with MATLAB for Engineers and Scientists provides the basic concepts of programming in MATLAB for engineering applications. Teaches engineering students how to write computer programs on the MATLAB platform Examines the selection and use of numerical and analytical methods through examples and cas
Introduction to Numerical Methods in Differential Equations
Author: Mark H. Holmes
Publisher: Springer Science & Business Media
Published: 2007-04-05
Total Pages: 248
ISBN-13: 0387681213
DOWNLOAD EBOOKThis book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.
Numerical Computing with MATLAB
Author: Cleve B. Moler
Publisher: SIAM
Published: 2010-08-12
Total Pages: 340
ISBN-13: 0898716608
DOWNLOAD EBOOKA revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
Solving ODEs with MATLAB
Author: Lawrence F. Shampine
Publisher: Cambridge University Press
Published: 2003-04-28
Total Pages: 276
ISBN-13: 9780521530941
DOWNLOAD EBOOKThis 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.
Finite Difference Methods for Ordinary and Partial Differential Equations
Author: Randall J. LeVeque
Publisher: SIAM
Published: 2007-01-01
Total Pages: 356
ISBN-13: 9780898717839
DOWNLOAD EBOOKThis 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.
Numerical and Analytical Methods with MATLAB
Author: William Bober
Publisher: CRC Press
Published: 2009-08-11
Total Pages: 488
ISBN-13: 1420093576
DOWNLOAD EBOOKNumerical and Analytical Methods with MATLAB presents extensive coverage of the MATLAB programming language for engineers. It demonstrates how the built-in functions of MATLAB can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problem
Numerical Methods for Partial Differential Equations
Author: Vitoriano Ruas
Publisher: John Wiley & Sons
Published: 2016-04-28
Total Pages: 376
ISBN-13: 1119111366
DOWNLOAD EBOOKNumerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.
A Compendium of Partial Differential Equation Models
Author: William E. Schiesser
Publisher: Cambridge University Press
Published: 2009-03-16
Total Pages: 491
ISBN-13: 0521519861
DOWNLOAD EBOOKPresents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB
Author: Alain Vande Wouwer
Publisher: Springer
Published: 2014-06-07
Total Pages: 416
ISBN-13: 3319067907
DOWNLOAD EBOOKSimulation 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.
