An Introduction to Numerical Methods in C++
This text on numerical computing, presented through the medium of the C++ language, is designed for students of science and engineering who are seriously studying numerical methods for the first time. It should also be of interest to computing scientists who wish to see how C++ can be used in earnest for numerical computation. A good knowledge of at least one programming language, such as Basic, Fortran or Pascal, is assumed, while a working knowledge of C would be an advantage. However, no prior knowledge of C++ is assumed. The language is developed in step with its numerical applications. What results is a powerful framework for numerical computations. As befits an introductory text, programming effort relates mostly to the classical numerical algorithms. However, greater emphasis is placed on recursive functions than is usually the case, and some interesting use is also made of recursive data structures for solving numerical problems.
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Errors theorems and speed
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algorithm approximation arithmetic array base class bool bytes char character class complex class string coefficients complex numbers computation condition consider const int constant constructor convergence coprime cout data members data pointer declared default defined destructor diagonal elements double h eigenvalue eigenvectors error Euler method example expression floating point floating point numbers formula func function call function f(x gauss0 gaussian quadrature given header file increment initial value problem inline inline function input and output integer interpolation interval istream& Julia sets linear loop matrix maxiter member function method midpoint midpoint method multiplications Newton's method node norm object obtain orthogonal orthogonal polynomials output operator parameters pixel pointer polynomial of degree prime procedure random rational result root routine screen sequence solution statement static symmetric matrix theorem tion tridiagonal TurboC++ typedef variable void write written zero