The research of the institute focuses on the construction, analysis and implementation of efficient numerical methods and algorithms for solving practical and complex problems arising from various ...

These methods with or without the Jacobian are analyzed in terms of convergence and stability. In particular, it is proved that the proposed methods have a convergence order up to 4 regardless of the ...

Leapfrog Let me now compare the leapfrog method to the better Euler method. This is a plot of the difference between the two methods and the analytical method.