Numerical methods for differential equations and applications

الملخص EN

This paper surveys a number of aspects of numerical methods for ordinary differential equations.

The discussion includes the method of Euler and introduces Runge-Kutta methods and linear multistep methods as generalizations of Euler.

Stability considerations arising from stiffness lead to a discussion of implicit methods and implementation issues.

To the extent possible within this short survey, numerical methods are looked at in the context of problems arising in practical applications.