This is a preview. Log in through your library . Abstract A general method is described to compute the exact error in the numerical integration of a given polynomial ...

Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...

The field of optimal control in partial differential equations (PDEs) focuses on determining the best possible control strategies to influence systems described by PDEs and to achieve specific ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...