Numerical Analysis: Mathematics of Scientific ComputingBrooks/Cole, 1991 - 690 pagine Taking the time to develop the appropriate theory so readers appreciate the mathematics behind the algorithms, the text has more content but a less formal writing style. The authors' presentation of approximating functions and numerical solution of differential equations are thorough with coverage of splines and boundary value problems. Algorithms are developed in pseudocode (not FORTRAN or Pascal). |
Sommario
MATHEMATICAL PRELIMINARIES | 1 |
COMPUTER ARITHMETIC | 28 |
SOLUTION OF NONLINEAR EQUATIONS | 57 |
Copyright | |
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Altre edizioni - Visualizza tutto
Numerical Analysis: Mathematics of Scientific Computing David Kincaid,David Ronald Kincaid,Elliott Ward Cheney Anteprima limitata - 2009 |
Numerical Analysis: Mathematics of Scientific Computing David Ronald Kincaid,Elliott Ward Cheney Visualizzazione estratti - 2002 |
Numerical Analysis: Mathematics of Scientific Computing David Ronald Kincaid,Elliott Ward Cheney Anteprima non disponibile - 2009 |
Parole e frasi comuni
A₁ algorithm assume b₁ best approximation coefficients column computed continuous convergence convex defined denoted derivatives Determine diagonal differential equation eigenvalues elements Equation 9 error term example factorization Find formula function f Gaussian elimination given Hence inequality initial-value problem inner product inner-product space integral interpolates ƒ interval inverse iteration knots LEMMA lower triangular machine numbers matrix norm Newton's method nodes nonsingular nonzero numerical solution obtain orthonormal output pivoting polynomial of degree PROBLEM SET procedure Proof Prove pseudoinverse quadrature real number result Richardson extrapolation roundoff error Runge-Kutta method secant method Section sequence Show Simpson's rule singular-value decomposition solve space step subintervals Suppose system of equations t₁ Taylor series Taylor's Theorem Theorem ti+1 trapezoid rule truncation error upper triangular values variables vector write Xn+1 zero