Mathematics of Computation, Vol. 25, No. 115 (Jul., 1971), pp. 457-473 (17 pages) This paper presents a study of a class of PECE algorithms consisting of an application of a predictor followed by ...

This is a preview. Log in through your library . Abstract In this paper, we introduce an efficient Chebyshev-Gauss spectral collocation method for initial value problems of ordinary differential ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

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 ...

Covers finite difference, finite element, finite volume, pseudo-spectral, and spectral methods for elliptic, parabolic, and hyperbolic partial differential equations. Prereq., APPM 5600. Recommended ...