Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

This is a preview. Log in through your library . Abstract A quasi-Newton algorithm is presented which employs an initial factorization of the approximate Jacobian matrix. The method then updates the ...

The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton's iteration formula, the secant method, Newton-Cotes and ...