Abstract: To provide a convenient means for solving complex and nonlinear ordinary differential equations, a system has been devised which causes a 704 EDPM to behave like an analogue differential ...

Many problems of science and technique lead to partial differential equations. The mathematical theories of such equations, especially of the nonlinear ones, are very intricate, such that their ...

An entirely new framework is established for developing various single- and multi-step formulations for the numerical integration of ordinary differential equations. Besides polynomials, ...

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 ...

This school project represents a series of pathological functions and numerical integration and differential equations graphically and visually using Python. The goal is to provide an interactive and ...

ABSTRACT: In the present work, and along the lines of Hermann, ScR theory is applied to a finite one-dimensional square well potential problem. The aim is to show that scale relativity theory can ...

TODD, J. (1) Determinants and Matrices (2) Theory of Equations (3) Integration (4) Vector Methods: Applied to Differential Geometry, Mechanics and Potential Theory (5 ...

This project numerically integrates a 2x2 system of nonlinear ordinary differential equations using Python and SciPy's solve_ivp function.