Applied Mathematics

Bjorn Birnir is interested in infinite-dimensional dynamical systems and their applications to partial differential equations.

Hector Ceniceros is interested in the design, analysis, and application of highly accurate and dynamically adaptive numerical methods for a large class of nonlinear problems such as water waves, two-phase flows, flows in porous media, and nonlinear optics. A common denominator in these problems is the investigation of how small scale phenomena (such as surface tension or short-wave dispersion) can affect macroscopic behavior (multi-scale phenomena).

Carlos Garcia-Cervera is interested in problems arising in Material Science and Condensed Matter Physics, and in particular, the dynamic and static properties of complex systems. His research interests are diverse, and include fields such as Ferromagnetism, Superconductivity, Liquid Crystals, and Polymeric Fluids. His approach to these problems is flexible in the techniques employed, which include modelling, asymptotic analysis, and numerical simulation.

Paul Atzberger is interested in problems arising in Soft Matter Physics and Biology. A particular aspect is the role of stochastic effects. Specific application areas include the study of Membrane Bilayers, Complex Fluids, Molecular Motor Proteins, and Osmotic Phenomena. His research draws on techniques from stochastic analysis, asymptotics, and numerical analysis. An emphasis is also placed on scientific computing and the development of general numerical methods.

RESEARCH FIELDS
Algebra
Analysis
Applied Math
Geometry
Number Theory
PDE
Topology



Faculty


Paul Atzberger

PhD:
The Courant Institute, 2003
Interests:
Office
: Room 6712
atzberg-A.T-math.ucsb.edu
  Bjorn Birnir

PhD:
The Courant Institute, 1981
Interests: Non-linear PDE's
Office
: Room 6513
birnir-A.T-math.ucsb.edu
         
Maria Isabel Bueno Cachadina

PhD:
Universidad Carlos III de Madrid, 2004
Interests: Numerical linear algebra
Office
: Room 6524
mbueno-A.T-math.ucsb.edu
  Hector Ceniceros

PhD:
The Courant Institute, 1995
Interests: Numerical Analysis
Office
: Room 6710
hdc-A.T-math.ucsb.edu
         
Carlos Garcia-Cervera

PhD:
The Courant Institute, 1999
Interests: Applied Mathematics
Office
: Room 6707
cgarcia-A.T-math.ucsb.edu
     
         



Visiting Faculty


Sookyung Joo

PhD:
Purdue, 2004
Interests: Applied Math
Office
: Room 6502
sjoo-A.T-math.ucsb.edu
  Chetan Pahlajani

PhD:
Univ. of Illinois, Urbana-Champaign, 2007
Interests: Probability Theory
Office
: Room 6701
chetan-A.T-math.ucsb.edu
         
Note: Please replace -A.T- with @ in the email addresses above.