Produktbild: Computing for Numerical Methods Using Visual C++

Computing for Numerical Methods Using Visual C++

Fr. 186.00

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.12.2007

Verlag

John Wiley & Sons

Seitenzahl

472

Maße (L/B/H)

24/16.1/3 cm

Gewicht

789 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-12795-7

Beschreibung

Rezension

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

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.12.2007

Verlag

John Wiley & Sons

Seitenzahl

472

Maße (L/B/H)

24/16.1/3 cm

Gewicht

789 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-470-12795-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Computing for Numerical Methods Using Visual C++
  • 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.