Current Trends in Computational Methods for PDEs

Location

BANGALORE
,
India

Dates

to

Presentation

The development of Computational methods for partial differential equations (PDEs) is a key tool for the development of science and technology. For its development, it is important to have a deep understanding of the classical and new methodologies used in numerical methods. The summer school will provide an overview of some techniques that allow one to address the computational challenges encountered in different applications. Some of these methodologies include : high order approximation, mixed finite elements, discontinuous Galerkin (DG) methods, domain decomposition and multilevel techniques, adaptivity, a-posteriori error analysis, approximation by sampling methods, sparse grids, ENO and WENO schemes and TVD-reconstructions.

Administrative and scientific coordinators

Thirupathi Gudi (Indian Institute of Science Bangalore,
India
,
gudi@math.iisc.ernet.in
)
Blanca Ayuso de Dios (Centre de Recerca Matematica (CRM), Barcelona,
Spain
,
blanca2877@gmail.com
)

Scientific program

Course 1: "Adaptive Finite element methods", Andreas Veeser (Università degli Studi di Milano, Italy)

Course 2: "C^0 Interior Penalty Methods", Susanne C. Brenner and Li-yeng Sung (Louisiana State University, USA)

Course 3: "Finite elements for mixed variational formulations", Daniele Boffi (Universita degli Studi di Pavia, Italy) and Lucia Gastaldi (Universita di Brescia, Italy)

Course 4: "A Course Related Applications", Bobby Philip (Oak Ridge National Laboratories, USA)

Course 5: "Numerical methods for non-linear hyperbolic PDEs", Ulrik S. Fjordholm (Eidgenössische Technische Hochschule (ETH), Switzerland)

Course 6: "Numerical techniques for PDEs with random input data", Fabio Nobile (École Polytechnique Federale de Lausanne (EPFL), Switzerland) and Raul Tempone (King Abdullah University of Science and Technology (KAUST), Saudi Arabia)

Course 7: "Basics in Probability Theory and Multilevel Methods", Blanca Ayuso de Dios (CRM, Barcelona)

Course 8: "Finite Element Methods for Stokes Problem", Sashikumaar Ganesan (IISc Bangalore, India)

Course 9: "Numerical Methods for Hyperbolic Problems", G. D. Veerappa Gowda (TIFR-CAM Bangalore, India)

Course 10: "Adaptive FEM", Thirupathi Gudi (IISc Banglaore, India)

Course 11: "Weak Formulations/Advanced PDEs ", A. K. Nandakumaran (IISc Bangalore, India)

Course 12: "Introduction to Finite Element Methods", Neela Nataraj (IIT Bombay, India)

Course 13: "Discontinuous Galerkin FEM", Amiya K. Pani (IIT Bombay, India)

Course 14: "Theory of First Order PDEs ", Phoolan Prasad (IISc Bangalore, India)

Course 15: "Theory of Distributions/Sobolev Spaces", Mythily Ramaswamy (TIFR-CAM Bangalore, India)

Website of the school

http://www.cimpa-icpam.org/archivesecoles/20140204154528/cimpa.html

How to participate