Numerical Methods, Software, and Analysis |
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Page 206
... accuracy being good enough , one might use an automatic method based on a basic rule , but an adaptive method should be as efficient and even more reliable . 2. One - shot integration : Only one or two integrals are to be evaluated . A ...
... accuracy being good enough , one might use an automatic method based on a basic rule , but an adaptive method should be as efficient and even more reliable . 2. One - shot integration : Only one or two integrals are to be evaluated . A ...
Page 302
... accuracy . See the hint of Problem 9.5.1 9.5.4 Solve the differential equations of Problem 9.2.5 with the fourth - order Runge - Kutta method of Problem 9.2.10 . Use a step size of .01 . Resolve these problems with a library ...
... accuracy . See the hint of Problem 9.5.1 9.5.4 Solve the differential equations of Problem 9.2.5 with the fourth - order Runge - Kutta method of Problem 9.2.10 . Use a step size of .01 . Resolve these problems with a library ...
Page 556
... ACCURACY SOLUTION OF LINEAR LEAST SQUARES PROBLEM HIGH ACCURACY SOLUTION SOLUTION BAND STORAGE MODE HIGH ACCURACY SOLUTION OF A MATRIX FULL STORAGE MODE HIGH ACCURACY SOLUTION EQUATION SOLUTION - COMPLEX MATRIX HIGH ACCURACY SOLUTION ...
... ACCURACY SOLUTION OF LINEAR LEAST SQUARES PROBLEM HIGH ACCURACY SOLUTION SOLUTION BAND STORAGE MODE HIGH ACCURACY SOLUTION OF A MATRIX FULL STORAGE MODE HIGH ACCURACY SOLUTION EQUATION SOLUTION - COMPLEX MATRIX HIGH ACCURACY SOLUTION ...
Contents
MATH AND CS BACKGROUND | 1 |
CHAPTER | 15 |
NUMERICAL SOFTWARE | 18 |
Copyright | |
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Common terms and phrases
accuracy algorithm analysis Apply approximation b₁ band matrix BAND SYMMETRIC basis functions boundary conditions break points Chebyshev coefficients COMPLEX compute cubic spline data set derivatives digits discretization discussed divided difference DOUBLE PRECISION EIGENVALUES equation solver evaluate example factor Figure formula Fortran Gauss elimination given Hermite cubic IMSL library IMSL ROUTINES IMSL SUBROUTINE initial integration interpolation points interval INVERSE iteration knots least-squares linear equations mathematical MATRIX MULTIPLICATION Muller's method Newton Newton's method nonlinear equation norm NORMAL NUCLEUS CALLED obtain orthogonal orthogonal polynomials output parameters partial differential equation piecewise polynomials polynomial interpolation POSITIVE DEFINITE PRECISION/HARDWARE REQD PRECISION/HARDWARE SINGLE PROBABILITY DISTRIBUTION FUNCTION PROTRAN RANDOM DEVIATE REAL REGRESSION representation root round-off secant method simple SINGLE AND DOUBLE/H32 SINGLE/ALL smooth solution solve squares step subprogram SUBROUTINE SYMMETRIC MATRIX SYMMETRIC STORAGE MODE t₁ Table Taylor's series Theorem UERTST,UGETIO values variables VECTOR x₁ y₁ zero