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 ...

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 ...

People who write software have probably looked at numerical integration like Simpson’s rule or the midpoint rule. That makes it pretty obvious that integration is summing up small bits of something.

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.