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Center for Nonlinear Analysis
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Welcome to the Center for Nonlinear Analysis

The Center for Nonlinear Analysis (CNA) is an international resource for research and training in applied mathematics. Established in 1991 with ARO and NSF funding, it continues with major support from the NSF.

The goals of the CNA are:

  • To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology, to highlight emerging areas in mathematics deriving from applications, and to develop new applications of mathematical sciences;

  • To maintain its position as a worldwide asset for the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering.

Main areas of research at the CNA are Calculus of Variations, Partial Differential Equations, Numerical Analysis and Scientific Computation. A primary focus for CNA involvement in applications is in materials, and increasingly in the life sciences.

The CNA's activities include:

  • a RTG (Research Training Grant) graduate student training program;
  • two and three-year postdoctoral training programs;
  • working groups and topics courses targeted to advanced graduate students and postdoctoral fellows;
  • a visitors program;
  • a research publications series;
  • organization of conferences and workshops;
  • organization of Summer Schools targeted to advanced PhD students, postdoctoral fellows and other young researchers;
  • a major internationalization program emphasizing the creation of collaborative research networks;
  • the Summer Undergraduate Applied Mathematics Institute, under the direction of Deborah Brandon, which targets minorities and women with the goal of recruiting them to pursue graduate study in applied mathematics.

The Director of the CNA is Irene Fonseca, and the Associate Director is Robert Pego. The other permanent members of the CNA are David Kinderlehrer, Giovanni Leoni,James Greenberg, Morton Gurtin, William Hrusa, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Shaeffer, Robert Sekerka, Dejan Slepcev, Noel Walkington and William Williams.

2010 CNA Summer School :
New Vistas in Image Processing and PDEs
Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA June 7–12, 2010. Learn more
CNA RTG Ph.D. Fellowships in Applied Analysis, Carnegie Mellon UniversityAs part of our National Science Foundation supported Research Training Group (RTG) Program, we are actively seeking applicants for the graduate program in Applied Analysis at CMU. Our goal is to streamline the path to the Ph.D. and to provide enhanced research opportunities to students interested in general areas of nonlinear partial differential equations, calculus of variations, and their applications including materials science, systems biology, and fluid flow.
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CNA Ph.D. Fellowships in Applied Analysis, Carnegie Mellon UniversityWe are actively seeking applicants for the graduate program in Applied Analysis at CMU. Our goal is to streamline the path to the Ph.D. and to provide enhanced research opportunities to students interested in general areas of nonlinear partial differential equations, calculus of variations, and their applications including materials science, systems biology, and fluid flow.
Learn more

CNA Post-Doctoral Positions
Carnegie Mellon University
The Center for Nonlinear Analysis anticipates making Post-Doctoral appointments beginning September 2010 in applied analysis in general areas of nonlinear partial differential equations, calculus of variations, and their applications including materials science, systems biology, and fluid flow. These will be two- or three-year joint appointments by the Center and the Department of Mathematical Sciences.
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ICTI CMU|Portugal Ph.D. Fellowship in Applied Mathematics, Carnegie Mellon University The ICTI Ph.D. Program in Applied Mathematics offers courses of studies in Applied Analysis and in Probability, Stochastic Analysis and their Applications. The students attending the program will study both at Carnegie Mellon University and at one of the Mathematics Departments of three partner Portuguese institutions. Review of applications will begin on January 15, 2010.
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ICTI CMU|Portugal Postdoctoral Fellowship in Applied Mathematics, Carnegie Mellon University The Department of Mathematical Sciences in Carnegie Mellon University anticipates to make two-year postdoctoral appointments in applied analysis, probability and stochastic analysis beginning September 2010, under the ICTI CMU|Portugal Program in Applied Mathematics . Review of applications will begin on January 15, 2010.
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CNA Grant Writing Workshop
RTG postdoctoral fellows are required to participate in the CNA Grant Writing Workshop on Thursday, October 1, 2009, PPB 300, 9:30-12:00. All other postdoctoral fellows are encouraged to attend. Those interested must register with Nancy Watson by Tuesday, September 15 . Workshop Files