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IMA Special Workshop
WhAM! A Research Collaboration Workshop for Women in Applied Mathematics: Numerical Partial Differential Equations and Scientific Computing
August 12-15, 2014

Susanne Brenner (Chair)Louisiana State University
Sigal GottliebUniversity of Massachusetts Dartmouth
Chiu-Yen KaoClaremont McKenna College
Hyesuk LeeClemson University
Fengyan LiRensselaer Polytechnic Institute
Carol WoodwardLawrence Livermore National Laboratory

Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment. In this workshop, cutting-edge numerical algorithms and their applications will be discussed. Each organizer will present a research project and lead a research group. They may also choose a junior co-leader, preferably someone with whom they do not have a long-standing collaboration, but who has enough experience to take on a leadership role. Other team members will be chosen from applicants and invitees. It is expected that each group will continue their project together and submit articles about their results to the conference proceedings.

The benefit of such a structured program with leaders, projects, and working groups planned in advance is based on the successful Women in Numbers (WIN) conferences and is intended to benefit all participants. Senior women will meet, mentor, and collaborate with the brightest young women in their field on a part of their research agenda of their choosing, and junior women and students will develop their network of colleagues and supporters and enter important new research areas, thereby improving their chances for successful research careers.

Teams and Mentors

Team 1: Adaptive finite element methods for fourth order elliptic variational inequalities

Mentors: Susanne Brenner, Louisiana State University (acting as chair of the organizing committee)

Background needed:  Finite element methods (theory and programming)


Team 2: Modifying the weighted essentially non-oscillatory methods for improved accuracy, efficiency, and shock capturing

Mentor: Sigal Gottlieb, University of Massachusetts, Dartmouth, and Bo Dong, University of Massachusetts

Background needed: A knowledge of finite difference methods for simple partial differential equations (PDEs) and of integration methods (Runge-Kutta and multistep) for ordinary differential equations (ODEs).


Team 3: Principal eigenvalue for a population dynamics model problem with both local and nonlocal dispersal

Mentor: Chiu-Yen Kao, Claremont McKenna College

Co-mentor: Marina Chugunova, Claremont Graduate University

Background needed: PDEs and numerical computations; if possible, some optimization background is a plus


Team 4: Partitioning algorithms for coupled flow problems

Mentors: Hyesuk Lee, Clemson University, and Annalisa Quaini, University of Houston

Background needed: Some experience in finite element computations and analysis


Team 5: Fast solvers for kinetic equations

Mentor: Fengyan Li, Rensselaer Polytechnic Institute

Co-mentor: Yingda Cheng, Michigan State University

Background needed: Familiarity with numerical methods, especially fast direct methods


Team 6: Adaptive coupling for multiphysics simulations: one example with power grid models

Mentor: Carol Woodward, Lawrence Livermore National Laboratory

Co-mentor: Yekaterina Epshteyn, University of Utah

Background needed:  Time integration methods, stability analysis, operator splitting,

C programming, iterative solvers