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 > Recent Results on Rational Approximation and Interpolation with Completely and Multiply Monotone Radial Basis Functions

## Recent Results on Rational Approximation and Interpolation with Completely and Multiply Monotone Radial Basis FunctionsAdd to your list(s) Download to your calendar using vCal - Martin Buhmann (Justus-Liebig-Universität Gießen)
- Wednesday 20 February 2019, 11:00-11:35
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. ASCW01 - Challenges in optimal recovery and hyperbolic cross approximation We will report on new results about approximations to continuous functions of multiple variables. We shall use either approximation with interpolation or approximation by rational functions. For these kinds of approximations, radial basis functions are particularly attractive, as they provide regular, positive definite or conditionally positive definite approximations, independent of the spatial dimension and independent the distribution of the data points we wish to work with. These interpolants have very many applications for example in solving nonlinear partial differential equations by collocation. In this talk, we classify radial basis and other functions that are useful for such scattered data interpolation or for rational approximations from vector spaces spanned by translates of those basis functions (kernels); for this we study in particular multiply and/or completely monotone functions. We collect special properties of such monotone functions, generalise them and find larger classes than the well known monotone functions for multivariate interpolation. Furthermore, we discuss efficient ways to compute rational approximations using the same type of kernels. 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 listsCambridge University European society Cambridge Energy Seminars German Graduate Research Seminar## Other talksBioengineering approach to artery rupture and clinical implications Fabrication, assembly and propulsion of artificial microswimmers and nanorobotic systems The Listening Zones of NGOs: Languages and cultural knowledge in development programmes J M Keynes Fellowship Fund Lectures 2019 Single Molecule Spectroscopy Injection, migration, and pressure dissipation in layered aquifer systems |