Produktbild: Computing for Numerical Method

Computing for Numerical Method

198,99 €

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

865 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

865 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 Method
  • 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