Computational Mathematics in Engineering |
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Page vii
... Ordinary Differential Equations Preliminary Discussion Series Expansion Runge - Kutta Methods Milne's Predictor - Corrector Methods 55836 57 57 62 66 Numerov's Method 69 Boundary Value Problems Solution by Direct Substitution vii.
... Ordinary Differential Equations Preliminary Discussion Series Expansion Runge - Kutta Methods Milne's Predictor - Corrector Methods 55836 57 57 62 66 Numerov's Method 69 Boundary Value Problems Solution by Direct Substitution vii.
Page 69
... Numerov's Method For second - order differential equations of the type y " = = F ( x , y ) ( 3.45 ) where the first derivative with respect to x , ( y ' ) does not appear in the function F ( x , y ) , Numerov's method gives an accurate ...
... Numerov's Method For second - order differential equations of the type y " = = F ( x , y ) ( 3.45 ) where the first derivative with respect to x , ( y ' ) does not appear in the function F ( x , y ) , Numerov's method gives an accurate ...
Page 250
... method , 165 evaluation of , 161 function continuity , 157 Gaussian distribution , 102 Gauss - Markov theorem , 138 ... Numerov's method , 69 odd functions , 156 operators difference , 34 differential , 34 Laplace , 34 optimization with ...
... method , 165 evaluation of , 161 function continuity , 157 Gaussian distribution , 102 Gauss - Markov theorem , 138 ... Numerov's method , 69 odd functions , 156 operators difference , 34 differential , 34 Laplace , 34 optimization with ...
Contents
Numerical Evaluation of Matrices and Simulta | 1 |
Geometric Representation of the Three | 9 |
The Function y fx | 34 |
Copyright | |
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a-ß tracker A₁ Assume calculate central difference characteristic vector coefficients column constraints convergence data points Denoting derivative diagonal differential equation elements engineering equa error evaluated exponential distribution F₁ Figure finite difference Formulate the solution forward difference Fourier series Fourier transform frequency function f(x G₁ given Hovanessian increment independent variable initial conditions initial vector input inverse inverse matrix iteration process k₁ k₂ Kalman filtering Lagrangian least-squares linear programming McGraw-Hill Monte Carlo Note numerical solution Numerov's method Obtain the values optimization P₁ percent polynomial predictor-corrector method probability density function quadratic programming recursive relation represents result set of equations simultaneous equations solve symmetrical symmetrical matrix Table Taylor series Taylor series expansion Theorem three iterations tion values and vectors W⁰ x₁ Xn+1 y₁ Y₂ Yi+1 Yn+1 York zero λε λι