JSTOR Daily

Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations

SIAM Journal on Numerical Analysis, Vol. 7, No. 1 (Mar., 1970), pp. 47-66 (20 pages) Linear one step methods of a novel design are given for the numerical solution of stiff systems of ordinary ...
Massey University

Differential Equations I

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 ...
Nature

Fourier Analysis and Numerical Methods for Differential Equations

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 ...
Nature

Error Analysis and Numerical Methods for Parabolic Partial Differential Equations

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
JSTOR Daily

Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-System Canonical Form

SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 704-735 (32 pages) Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for ...