The Department of
Mathematics at USC offers a new Ph.D. track in
mathematics with concentration in
applied and computational mathematics. This new track was approved in the fall of 2009 as the result of an initiative to expand applied and computational mathematics into interdisciplinary areas. Students enrolled in the program can concentrate on
either Applied Math, or Computational Math, or interdisciplinary mathematics during the
course of their studies. The aims of this track are (i). to implement modern applied and computational
mathematics curriculum into the graduate training, (ii). to support science and engineering education and research on the
campus of USC, (iii). to foster interdisciplinary research across various disciplines in science, engineering and medicine. The applied and computational mathematics
faculty maintains a strong and vigorous research program in the
following areas:
 applied
analysis and asymptotic analysis,
 applied
harmonic analysis, approximation theory, and applications
of wavelets,
 computational
algorithm development and analysis,
 computational
fluid dynamics and rheology of complex fluids,
computational nanoscience,
 computational
biology and cell dynamics,
 fluid
dynamics, multiphase flows, and fluid flow in porous
media,
 energy
research, electron transport, thermal transport,
 high
performance computing and simulation of fluid flows and
interfacial phenomena,
 mathematical
modeling, multiscale modeling of biological and nano
materials,
 mathematical
biology, cellular dynamics,
 partial
differential equations and wave propagations,
 signal and
image processing, 3D visualization and pattern
recognition,
 combinatorics,
computational
combinatorics and stochastic combinatorics,
 network
theory, graph theory, discrete algorithms.
Many faculty members
are engaged in interdisciplinary research activities and are
affiliated with the Interdisciplinary
Mathematics Institute and the NanoCenter
at USC. The research of faculty and students is supported by
the stateoftheart high performance computing and
visualization facilities in the department, IMI and the
NanoCenter. These include a high performance Linux cluster
(18X8 processors) equipped with high powered Graphic
Processing Units (Tesla cards), a visualization cluster of a
tiled display wall, and a host of servers and workstations.
RichtmyerMeshkov instability
Biofilm Growth
Newtonian Droplet formation
ACM
Faculty Members and Their Research Interests
Peter
Binev
Associate Professor
Ph.D., Sofia
University, 1985
Research Interests:
Scientific computing, approximation theory, numerical
analysis, nonlinear approximation, learning theory, high
dimensional problems, numerical methods for PDEs, computer
graphics, image, and surface processing.
Colin
Bennett Professor Ph.D,
University of Newcasle upon tyne, 1971 Research
Interests: Harmonic Analysis, Interpolation of Operators,
wavelets, history of mathematics.
Eva
Czabarka
 Assistant Professor
Ph.D. University of South Carolina, 1998
Research Interests: extremal set theory, extremal graph theory, graph
drawing, biological applications, statistical evaluation of retrieval
algorithm.
Wolfgang
DahmenProfessor
Ph.D., RWTH Aachen,
1976
Research Interests:
Applied and numerical analysis, approximation theory, and
interdisciplinary applications.
Daniel
Dix  Associate
Professor
Ph.D., University of
Chicago, 1988
Research Interests:
Analysis. Research interests include: initial value problems
for partial differential equations governing the evolution of
nonlinear waves, asymptotic behavior of solutions, solutions
with special symmetry, completely integrable equations, and
solitons.
Ronald
DeVoreRobert
L. Sumwalt Distinguished Professor Emeritus
Ph.D., Ohio State
University, 1967
Research Interests:
Approximation theory, applied harmonic analysis, image
processing, and wavelets.
Jerry
GriggsCarolina
Distinguished Professor Ph.D.,
Massachusetts Institute of Technology, 1977 Research Interests:
Combinatorics, extremal set theory, extremal graph theory,
graph coloring, and applications of discrete math to biology,
number theory, analysis of algorithms, and communications.
Xinfeng
LiuAssistant
Professor
Ph.D., State
University of New York at Stonybrook, 2006
Research Interests:
Scientific computing, high performance computing, interficial
phenomena, multiphase flows, computational biology, cellular
dynamics.
Lincoln
(Linyuan) LuAssistant
Professor
Ph.D., University of
California at San Diego, 2004
Research Interests:
Random graph theory, computational combinatorics.
Douglas
MeadeAssociate
Professor
Ph.D., Carnegie
Mellon University, 1989
Research Interests:
Applied mathematics, numerical methods for wave propagation on
unbounded domains, nonoverlapping domain decomposition
methods, and computer algebra systems.
Lili
JuAssociate
Professor
Ph.D., Iowa State
University, 2002
Research Interests:
Scientific computation and numerical analysis, exact boundary
controllability problems for the wave equation, parallel
algorithms and highperformance computing, and human brain
imaging.
Pencho
PetrushevProfessor
Ph.D., Sofia
University, 1977
Research Interests:
Approximation Theory, Harmonic Analysis, Numerical Methods
with current focus on localized nonlinear approximation by
waveletlike bases with applications to image processing,
Earth Gravity Models, and multiscale analysis of very large
data.
Robert
SharpleyDistinguished
Professor Emeritus
Ph.D., University of
Texas at Austin, 1973
Research Interests:
Classical analysis, approximation theory, multiresolution
analysis, signal and image processing, numerical analysis,
visualization, and autonomous navigation.
László Székely
Professor
Ph.D., Eötvös University,
1983
Research Interests:
combinatorial geometry, graph drawing, phylogeny
reconstruction, discrete probability, design and analysis of
algorithms, combinatorial optimization, extremal problems
(graphs and set systems).
Hong
WangProfessor
Ph.D.,
University of Wyoming, 1992
Research Interests:
Numerical analysis and differential equations, numerical
approximation to differential/integral equations, and
scientific computations.
Qi
WangProfessor
Ph.D., Ohio State
University, 1991
Research Interests:
Applied and computational mathematics, computational fluid
dynamics and rheology of complex fluids, continuum
mechanics and kinetic theory, multiscale modeling and
computation of soft matter and complex fluids of
anisotropic microstructures, multiscale modeling and
computation of biofluids and biomaterials, parallel and high
performance computing.
Xiaofeng
YangAssistant
Professor
Ph.D., Purdue
University, 2007
Research Interests:
Numerical analysis, high performance computing, multiphase
flows, spectral methods for partial differential equations,
phasefield methods.
ACM
Research Assistant Professors and Postdoctoral
Associates
Bin
YuResearch
Assistant Professor
Ph.D., Nankai
University, 2009
Soft Condense
matter physics, modeling of coplymers and biopolymers,
scientific computing.
Brandon
LindleyResearch
Assistant Professor
Ph.D.,
University of North CarolinaChapel Hill, 2008
Applied
mathematics, modeling and simulation of biofluids.
Francisco
BlancoSilva,
Research Assistant Professor
Ph.D., Purdue
University, 2007
Borislav
Karaivanov
 Research Associate Professor
Ph.D.,
University of South Carolina, 2001 Constructive
Approximation, Multiresolution Analysis, and
Scientific Computing
Philipp
Lamby
 Research Assistant Professor
Ph.D.,
RWTH Aachen University, 2007
Computational
fluid dynamics, Numerical grid generation,
highdimensional approximation
ACM
Visiting Professors
Huai Zhang
 Visiting Associate Professor, Academia
Sinica, PR. China
Ph.D.,
Graduate School of Chinese Academy of Sciences, 2000
Applied
and Computational Mathematics Related Links:
Societies:
SIAM : Society for Industrial and Applied Mathematics;
AMS : American Mathematical Society;
APS : American Physical Society;
ACS : American Chemical Society;
AICHE : American Institute of Chemical Engineers;
Institutes
and Centers:
AIM: American Institute of Mathematics
IMA: Institute for Mathematics and Its Applications
IMI: Interdisciplinary Mathematics Institute
IPAM: Institute for Pur and Applied Mathematics
MBI: Mathematical Biosciences Institute
SAMSI: Statistical and Applied Mathematical Sciences Institute 

