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 integration of Hamiltonian systems ...

The integration is performed by evaluating the provided model at multiple points between each data point. The integration method used is a variable order, variable step-size backward difference scheme ...

The numerical solution of wave scattering from large objects or from a large cluster of scatterers requires excessive computational resources and it becomes necessary to use approximate-but ...

The exam is based on APPM 5600-5610 Texts K. Atkinson, Introduction to Numerical Analysis (except Chapter 1). G. Golub and C. Van Loan, Matrix Computations, Chapters 2-5, 7, 10. K. W. Morton and D. F.

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...