Bjorn
Birnir is interested in infinite-dimensional dynamical
systems and their applications to partial differential
equations.
Hector D. Ceniceros' research focuses on the investigation of free boundary problems in multi-phase flow and complex
(polymeric) fluids through the design, analysis, and application of effective numerical methodologies. His specific
research areas include: boundary integral methods, phase field and level set approaches, immersed boundary method,
field-theoretic polymer models, adaptive and multi-scale methods, interfacial rheology, and liquid crystalline polymers.
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.
Applied Mathematics Group Website
![]()
RESEARCH FIELDS
![]()
Algebra
![]()
Analysis
![]()
Applied
Math
![]()
Geometry
![]()
Number
Theory
![]()
PDE
![]()
Topology
![]()
Faculty

Paul Atzberger
PhD: The Courant Institute, 2003
Interests:
Office: Room 6712
atzberg@math.ucsb.edu

Bjorn
Birnir
PhD: The Courant Institute, 1981
Interests: Non-linear PDE's
Office: Room 6513
birnir@math.ucsb.edu

Maria
Isabel Bueno Cachadina
PhD: Universidad Carlos III de Madrid, 2004
Interests: Numerical linear algebra
Office: Room 6717
mbueno@math.ucsb.edu

Hector
Ceniceros
PhD: The Courant Institute, 1995
Interests: Numerical Analysis
Office: Room 6710
hdc@math.ucsb.edu

Carlos
Garcia-Cervera
PhD: The Courant Institute, 1999
Interests: Applied Mathematics
Office: Room 6707
cgarcia@math.ucsb.edu