Michael Holst directs the MCP Research Group, which is a
collection of research scientists, postdocs, doctoral students,
masters students, and undergraduate students from the
Mathematics and Physics Departments at UCSD.
Other CCoM faculty are often involved in the research.
The group is supported by NSF, DOE, NIH, DOD, and other funding awards for
research projects in several areas of computational mathematics
and mathematical physics.
The research areas covered by the group include:
General Research Areas:
Numerical Analysis,
Applied Analysis,
Partial Differential Equations,
Mathematical Physics.
Specific Areas of Interest:
Adaptive Finite Element Methods,
Geometric PDE,
Biophysics,
General Relativity.
Information about the MCP Group:
The group has active on-going research projects and
publishes in the following areas:
The MCP group meets in subgroups for research discussions
at various times during the week, and also takes part in the weekly
CCoM
and
CSME
seminars.
The research program of the group centers around mathematical and/or numerical
analysis problems in partial differential equations (PDE), usually involving
PDE systems arising in either biophysics (PDE models of biological systems)
or astrophysics (PDE problems in general relativity).
Our analysis-oriented research involves the intersection
of ideas and techniques from nonlinear PDE, linear and nonlinear functional
analysis, differential geometry, and global nonlinear analysis.
Our numerical analysis-oriented research typically involves a further
combination of these techniques with modern approximation theory,
iterative algorithms for linear and nonlinear equations,
finite element-type numerical methods, and modern parallel computers.
Our simulation-based work often involves the use and/or development of
The Finite Element ToolKit (FETK).
Graduate students in the group usually pursue their M.S. and/or Ph.D. degrees
in the Mathematics or Physics Departments with Michael Holst,
with a formal Specialization in Computational Science
through the graduate
Program in Computational Science,
Mathematics, and Engineering (CSME).
E-Mail Lists (IMPORTANT):
If you are working with Michael Holst as an MS or Ph.D. student,
or as postdoctoral fellow, then you are a member of the ``MCP Group''.
Emails will be periodically sent out about group meetings and other events
to the MCP-L email list (see below).
You should try to attend the CCoM and CSME seminars that
are usually held on Tuesdays and Thursdays at 11am in 2402 AP&M.
The seminar titles and abstracts for all CCoM and CSME seminars
are posted on the
CCoM/CSME Seminar website.
The seminars are are also announced on one or more of the following
email lists; if you are in the MCP group, you should self-subscribe to
all three of the following email lists by clicking on the links below:
Current and former MCP postdoctoral researchers working with Holst:
Current and former MCP undergraduate students working with Holst:
