JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. V. Linearization of Coupled Second-Order Equations

Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...
Nature

A Treatise on Ordinary and Partial Differential Equations

WE have read Prof. Woolsey Johnson's work with some interest: his style is clear, and the worked-out examples well adapted to elucidate the points the writer wishes to bring out. He appears to ...
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 ...
Quanta Magazine

New Quantum Algorithms Finally Crack Nonlinear Equations

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...