Collection

Advances in Computational Integral Equations

Submission status
Closed
Integral equation methods bring tremendous advantages for the numerical solution of a wide variety of partial differential equations in complex geometries.Their representations are efficient, naturally handling unbounded domains, and they respect the physical conditioning of the underlying problem. The last 30 years has seen incredible advances in the both the mathematical theory and computational tools needed for their efficient and accurate numerical solution, such as: fast iterative and fast direct solvers for the resulting linear systems in low- and high-frequency regimes (building upon the fast multipole method of Greengard and Rokhlin), new representations, and high-order quadratures. Yet many challenges remain, and the research community is active and growing.

This collection was originally intended to pair with the workshop “Challenges in Computational Methods for Integral Equations” (OCCMIE) at the Casa Matematica Oaxaca (affiliated with BIRS), but, unfortunately due to COVID-19 that workshop will not happen before 2022. Thus, the collection will be independent of any workshop. Submissions from the global research community will be handled by the board listed below via ACOM’s usual peerreview process.

Editors

  • Stéphanie Chaillat Stéphanie Chaillat , 

    Stéphanie Chaillat

    Stéphanie Chaillat-Loseille is a Research Scientist at ENSTA Paristech. Until 2010 she was a Postdoc at Georgia Tech, after completing her PhD at École Nationale des Ponts et Chaussées, which was decorated with the CSMA National PhD Award and with the ECCOMAS European PhD Award.

  • Adrianna Gillman Adrianna Gillman , 

    Adrianna Gillman

    Adrianna Gillman is an Assistant Professor at University of Colorado at Boulder. Before she held positions at Rice University and at Dartmouth College. Dr. Gillman was a US National Academy of Sciences Kavli Fellow in 2017 and received a Sloan Fellowship from 2016-18.

  • Per-Gunnar Martinsson Per-Gunnar Martinsson , 

    Per-Gunnar Martinsson

    Per-Gunnar Martinsson is a Professor of Mathematics at University of Texas at Austin. Previously, he was a Professor at the University of Oxford, at the University of Colorado at Boulder, an Affiliated Professor at KTH Stockholm, and Gibbs Assistant Professor at Yale University. He is a SIAM Fellow (class 2021), recipient of the SIAM Germund Dahlquist Prize and of an NSF Career Award.

  • Michael O’Neil Michael O’Neil , 

    Michael O’Neil

    Mike O'Neil is an Associate Professor of Mathematics at Courant Institute, NYU. He was a Visiting Professor at MIT, Assistant Professor at Courant Institute, and worked as a Quant Researcher/Assistant Trader at Susquehanna International Group. Prof. O'Neill received his PhD from Yale University.

  • Alex Barnett Alex Barnett , 

    Alex Barnett

    Alex Barnett is an applied mathematician and numerical analyst. He was a faculty member in the mathematics department at Dartmouth College for 12 years, becoming a full professor in 2017. He obtained his Ph.D. in physics at Harvard University, followed by a postdoctoral fellowship in radiology at Massachusetts General Hospital and a Courant Instructorship at New York University. He has received several grants from the National Science Foundation, received Dartmouth’s Karen E. Wetterhahn Memorial Award for Distinguished Creative or Scholarly Achievement, and won the XXI International Physics Olympiad.

  • Mary-Catherine Kropinski Mary-Catherine Kropinski  &

    Mary-Catherine Kropinski

    Mary-Catherine Kropinski is a Professor of Mathematics and Associate Dean Equity, Diversity and Inclusion at Simon Fraser University. Dr. Kropinski completed her PhD at Renssellaer Polytechnic Institute in 1993.She then held a postdoctoral appointment at the Courant Institute, NYU working with Leslie Greengard on integral equation methods for the Stokes and Navier Stokes equations.She served on the NSERC Grants Selection Committee for Pure and Applied Mathematics B from 2002-2005 and has been an active reviewer for the Journal of Computational Physics and SIAM.

  • Timo Betcke Timo Betcke

    Timo Betcke

    Timo Betcke is a Professor of Computational Mathematics at University College London. Before joining UCL he was a research fellow at the University of Reading and the University of Manchester as well as a Postdoc at TU Braunschweig. He received his DPhil from the University of Oxford.

Articles (8 in this collection)