COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Accuracy Controlled Schemes for the Neutron Transport Equation

## Accuracy Controlled Schemes for the Neutron Transport EquationAdd to your list(s) Download to your calendar using vCal - Wolfgang Dahmen (University of South Carolina)
- Tuesday 24 May 2022, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. FKTW05 - Frontiers in numerical analysis of kinetic equations In this talk we discuss concepts for the numerical solution of the neutron transport equation with the following key feature: for a given target accuracy an approximate solution is generated that is guaranteed to meet this tolerance with respect to an $L_2$ norm over the spatial and velocity domain. Key ingredients are: formulating an idealized convergent iteration in function space; stable variational formulations of transport equations, in particular, Discontinuous Petrov Galerkin methods and corresponding tight residual a-posteriori error bounds, that allow one to approximately realize the iterates within judiciously chosen dynamic target accuracies; wavelet compression and low-rank approximation of scattering kernels that warrant their efficient application. Thus, rather than solving a fixed discrete problem, discretizations are perpetually updated in an accuracy controlled nested-refinement spirit. If time permits we indicate how these concepts for solving source problems are used in ongoing work to deal with the criticality problem. Wolfgang Dahmen Mathematics Department, University of South Carolina, Columbia, SC 292018 , USA (joint work with F. Gruber, O. Mula, R. Stevenson) This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsIgnite Lattice field theory informal seminars Finance - Centre for Financial Research## Other talksPhase Transitions in Geophysical Turbulence Counting conjectures for fusion systems Hh signalling and the anti-tumour immune response: biology and new treatment opportunities Fundamental Limits of Learning with Feedforward and Recurrent Neural Networks Cambridge - Corporate Finance Theory Symposium 2022 Statistics Clinic Summer 2022 III |