COS 590/ APC 590
Computational Methods & their Applications across Disciplines
Professor(s): Jaswinder Pal
Singh
Description/Objectives:
A collection of state-of-the-art computational methods and their
application in multiple scientific disciplines, emphasizing the practical
application of methods such as: equation solvers for fluid dynamics
(including multigrid), molecular dynamics, Monte Carlo, optimization,
eigen-analysis, statistical analysis and machine learning (e.g.,
clustering, pattern matching and classification). Course will have a
strong interdisciplinary flavor, and will include lectures, reading, and
programming. Methods will be discussed in the context of motivating
problems in different disciplines, and presented by faculty from different
departments specializing in those areas. Key issues for high-performance,
scalable computing will be discussed.
** This course is open to students and postdocs from all departments
Schedule/Classroom Assignment:
Class Number: 42877 - Lecture L01 : 1:30
pm - 2:50 pm M W
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here for course website
APC 505/ MAE 505
Numerical Methods in Computational Science
Maximum Enrollment: 30
Professor(s): Bjorn E. Engquist
Description/Objectives:
A basic graduate course in numerical analysis and scientific computing.
The topics include methods for systems of linear and nonlinear equations,
eigenvalue problems, interpolation and quadrature. The principles and
techniques of finite difference, finite element and finite volume methods
for differential equations will be studied, Hierarchical methods and
techniques for distributed computing will be introduced.
Examination Type: Take-Home
Schedule/Classroom Assignment:
Class Number: 42614 - Lecture L01 : 10:00
am - 11:20 am M W
CHE
537/ COS 554
Computational Analysis of Biological Networks
Maximum Enrollment: 30
Professor(s): Stanislav Y. Shvartsman, Olga G. Troyanskaya
Description/Objectives:
Analysis of biological networks requires a combination of tools from all
branches of applied mathematics and engineering. The course will introduce
computational techniques for the analysis of structure and function of
genetic, biochemical, and cellular networks. The topics covered include
dynamics of intracellular networks, network identification from gene
expression data, deterministic and probabilistic tools for networks
inference and simulation.
Examination Type: Final
Schedule/Classroom Assignment:
Class Number: 43402 - Lecture L01 : 1:00
pm - 3:20 pm W
MAE 560
Simulation and Modeling of Turbulent Fluid Flows
Maximum Enrollment: 10
Professor(s): Maria P. Martin
Description/Objectives:
This course presents the foundation of CFD as applied to turbulent
flows. Concepts of numerical accuracy and bandwidth are
introduced. Aliasing and Nyquist criteria are discussed.
Solutions in differential form and wave space are studied. The
numerical representation of turbulent transport, production, and
dissipation are discussed. Techniques for the simulation and modeling of
turbulent flows are described, including direct numerical simulation
(DNS), large-eddy simulation (LES), and Reynolds-averaged Navier-Stokes (RANS).
Homework topics include writing codes to solve isotropic turbulence using
DNS, LES, and RANS methodologies. Offered every other Spring
starting in 2004.
Schedule/Classroom Assignment:
Class Number: 41779 - Lecture L01 : 3:00
pm - 4:20 pm T Th in Friend Center (FRIEN) 305
MSE 504/ MAE 563
Modeling and Simulation in Materials Science
Maximum Enrollment: 20
Professor(s): Roberto Car, David J. Srolovitz
Description/Objectives:
Course examines methods for simulating materials on the electronic,
atomistic, microstructural, and continuum scales and approaches for
connecting across length scales. The scientific underpinnings of each is
emphasized. Hands-on experience in writing and/or exercising simulation
codes on all scales is provided.
Schedule/Classroom Assignment:
Class Number: 40510 - Lecture L01 : 2:30
pm - 3:50 pm M W
MSE 504/ MAE 563
Modeling and Simulation in Materials Science
Maximum Enrollment: 20
Professor(s): Roberto Car, David J. Srolovitz
Description/Objectives:
Course examines methods for simulating materials on the electronic,
atomistic, microstructural, and continuum scales and approaches for
connecting across length scales. The scientific underpinnings of each is
emphasized. Hands-on experience in writing and/or exercising simulation
codes on all scales is provided.
Schedule/Classroom Assignment:
Class Number: 40510 - Lecture L01 : 2:30
pm - 3:50 pm M W
COS 597F
Advanced Topics in Computer Science: Visualization and analysis of
large-scale genomics data-sets
Professor(s): Olga G. Troyanskaya
Description/Objectives:
Introduces students to computational issues involved in analysis and
display of large-scale biological data sets. Algorithms covered will
include clustering and machine learning techniques for gene expression and
protoemics data analysis, biological networks, joint learning from
multiple data sources, and visualization issues for large-scale biological
data sets. No prior knowledge of biology or bioinformatics is required; a
brief intriduction of bioinformatics and the nature of biological data
will be given.
1:30 pm - 2:50 pm M W
COS 551/ MOL 551
Introduction to Genomics and Computational Molecular Biology
Professor(s): Mona Singh, Saeed Tavazoie
Description/Objectives:
Introduction to basic computational methods used for problems arising in
molecular biology. Topics include computational approaches to: sequence
similarity and alignment, phylogenic inference, gene recognition, gene
expression analysis, structure prediction, and whole- and cross-genome
analysis.
3:00 pm - 4:20 pm T Th
Carl Icahn Laboratory 101
APC 514/ MOL 514
Biological Dynamics
Professor(s): Edward C. Cox, David W. Tank, William Bialek
Description/Objectives:
Introduction to the mathematical desciption of quantitative phenomena in
living systems; Hodgkin Huxley equations of nerve membranes; the
generation of spatial patterns in development, single cells, and colonies
of cells; chemotaxis; the population dynamics of disease; dynamics
activity of networks of neurons; intracellular chemical and gene-networks.
Emphasis on formulation and experimental basis for the equations, and
their relationship to significant biological issues.
Other Information: No background in the relevant biology is
required. However, a solid preparation in mathematics including
differential equations, integral calculus, and linear algebra is
essential, as is some experience in using mathematics to model the real
world. Graduate students with undergraduate degrees in mathematics,
physics, electrical engineering, mathematical biology, and biophysics will
have such backgrounds, as should Princeton seniors with these majors.
2:40 pm - 4:00 pm T Th
Carl Icahn Laboratory 280
COS 597B
Advanced Topics in Computer Science: Planetary-Scale Services
Professor(s): Larry L. Peterson
Description/Objectives:
Study of an emerging class of geographically distributed network services,
including network-embedded storage, publish/subscribe systems,
content-distribution networks, peer-to-peer systems, network measurement
tools, and others. Course will be project-oriented, with students forming
teams to build services and applications running on PlanetLab, an open,
shared planetary-scale overlay testbed.
1:30 pm - 4:20 pm M
COS 597C
Advanced Topics in Computer Science: Scalable Internet Services
Professor(s): Jaswinder P. Singh
Description/Objectives:
Areas of applications and systems technology for providing scalable
information services over the Internet.
1:30 pm - 4:20 pm W
Computer Science Building 402
MAT 342/ APC 342
Numerical Methods
Professor(s): Weinan E
Description/Objectives:
Introduction to numerical methods with emphasis on algorithms,
applications and computer implementation issues. Solution of nonlinear
equations. Numerical differentiation, integration, and interpolation.
Direct and iterative methods for solving linear systems. Numerical
solutions of differential equations, two-point boundary value problems.
Topics in approximation theory. Lectures are supplemented with numerical
examples using MATLAB.
3:00 pm - 4:20 pm M W
Fine Hall 401
MAT 537/ APC 537
Topics in Analysis: Numerical Methods for Multi-Scale and Simulation
Professor(s): Staff
Description/Objectives:
The course will cover different hierarchical methods for differential
equations. The analytical theory of homgenizaton will be introduced and
the numerical methods, multi-grid, domain decomposition, multi-pole and
wavelet based methods, will be studied. We will also consider
heterogeneous multiscale methods.
2:30 pm - 3:50 pm M W
Fine Hall 322