Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah A. Bakar

Computing for Numerical Methods Using Visual C++

• Gebundenes Buch

Produktbeschreibung

Providing a bridge between a problem and its solution through visualization, this book covers the most talked about problems currently available. Presenting a new approach that allows the reader to work by designing C++ programs directly using Windows interface in one book, the text provides ready to run codes.

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A visual, interdisciplinary approach to solving problems in numerical methods

Computing for Numerical Methods Using Visual C++ fills the need for a complete, authoritative book on the visual solutions to problems in numerical methods using C++. In an age of boundless research, there is a need for a programming language that can successfully bridge the communication gap between a problem and its computing elements through the use of visual-ization for engineers and members of varying disciplines, such as biologists, medical doctors, mathematicians, economists, and politicians. This book takes an interdisciplinary approach to the subject and demonstrates how solving problems in numerical methods using C++ is dominant and practical for implementation due to its flexible language format, object-oriented methodology, and support for high numerical precisions.

In an accessible, easy-to-follow style, the authors cover:
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Numerical modeling using C++
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Fundamental mathematical tools
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MFC interfaces
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Curve visualization
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Systems of linear equations
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Nonlinear equations
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Interpolation and approximation
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Differentiation and integration
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Eigenvalues and Eigenvectors
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Ordinary differential equations
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Partial differential equations

This reader-friendly book includes a companion Web site, giving readers free access to all of the codes discussed in the book as well as an equation parser called "MyParser" that can be used to develop various numerical applications on Windows. Computing for Numerical Methods Using Visual C++ serves as an excellent reference for students in upper undergraduate- and graduate-level courses in engineering, science, and mathematics. It is also an ideal resource for practitioners using Microsoft Visual C++.

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 472
• Erscheinungstermin: 1. Dezember 2007
• Englisch
• Abmessung: 240mm x 161mm x 30mm
• Gewicht: 790g
• ISBN-13: 9780470127957
• ISBN-10: 0470127953
• Artikelnr.: 23116802

Autorenporträt

Shaharuddin Salleh, PhD, is Professor in Computational Mathematics, Faculty of Science (Mathematics), Universiti Teknologi, Malaysia (UTM). Dr. Salleh's research is in parallel computing algorithms and scheduling, mobile computing, intelligent systems, and numerical/combinatorial optimization problems. He is also an IT Manager at the Research Management Centre, UTM. Albert Y. Zomaya, PhD, is the Head of School and CISCO Systems Chair Professor of Internetworking in the School of Information Technologies at the University of Sydney. He is the author or coauthor of several books and more than 300 publications. He is an IEEE Fellow. Sakhinah Abu Bakar is Lecturer in Computational Mathematics at the School of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia. She is currently pursuing her PhD degree at the University of Sydney.

Inhaltsangabe

Chapter 1: Overview of C++. Language style and organization. Data types,
variables. Loops and branches. Array, pointer, function, structure. Classes
and objects. Inheritance, polymorphism, encapsulation. Complexity analysis.
Chapter 2: Visual C++ Methods. MFC library . Fundamental interface tools.
Text displays. Graphics and images. Writing the first program. Chapter 3:
Fundamental Mathematical Tools. C++ for High-Performance Computing. Dynamic
memory allocation. Allocation for one-dimensional arrays. Allocation for
higher-dimensional arrays. Case Study: Matrix multiplication problem.
Matrix elimination problems. Vector and matrix norms. Row operations.
Matrix reduction to triangular form. Computing the determinant of a matrix.
Computing the inverse of a matrix. Matrix algebra. Data passing between
functions. Matrix addition and subtraction. Matrix multiplication. Matrix
inverse. Putting the pieces together. Algebra of complex numbers. Addition
and subtraction. Multiplication. Conjugate. Division. Inverse of a complex
number. Putting the pieces together. Number Sorting. Programming Exercises.
Chapter 4: System of Linear Equations. Systems of Linear Systems. Existence
of Solutions. Elimination Techniques. Gauss Elimination Method. Gauss
Elimination with Partial Pivoting. Gauss-Jordan Method. LU Factorization
Techniques. Crout Method. Doolittle Method. Cholesky Method. Thomas
Algorithm. Iterative Techniques. Jacobi Method. Gauss-Seidel Method. Visual
C++ Solution Interface. Summary. Programming Exercises. Chapter 5:
Nonlinear Equations. Iterative methods: convergence, stability. Background:
existence of solution, MVT, errors, etc.. Bisection method. False-point
position method. Newton method. Secant method. Fixed-point iterative
method. Visual C++ Solution Interface. Summary. Programming Exercises.
Chapter 6: Interpolation and Approximation. Concepts, existence, stability.
Lagrange. Newton methods: forward, backward. Stirling method. Cubic spline
interpolation. Least-square approximation. Visual C++ Solution Interface.
Summary. Programming Exercises. Chapter 7: Differentiation and Integration.
Taylor series. Newton methods (forward, backward, central). Trapezium
method. Simpson method. Simpson 3/8 method. Gauss quadrature. Visual C++
Solution Interface. Summary. Programming Exercises. Chapter 8: Eigenvalues
and Eigenvectors. Characteristic polynomials. Power method. Power method
with shifting. Visual C++ Solution Interface. Summary. Programming
Exercises. Chapter 9: Ordinary Differential Equations. Existence,
uniqueness, stability, convergence. IVP: Taylor method. Euler method.
Runge-Kutta of order 2 method. Runge-Kutta of order 4 method. Higher
dimensional orders. Multistep methods: Adams-Bashforth method. Boundary
Value Problems: finite-difference method. Visual C++ Solution Interface.
Summary. Programming Exercises. Chapter 10: Partial Differential Equations.
Existence, uniqueness, stability, convergence. Elliptic problem: Laplace
equation. Elliptic problem: Poisson equation. Parabolic problem: heat
equation. Hyperbolic problem: wave equation. Visual C++ Solution Interface.
Summary. Programming Exercises. Chapter 11: Finite Element Methods.
One-dimensional heat problem. Linear approximation. Quadratic
approximation. Two-dimensional problem: triangulation method. Visual C++
Solution Interface. Summary. Programming Exercises.

Rezensionen

"The clarity of the book is excellent." ( CHOICE , May 2008)