Modern Applied Mathematics for the Atmospheric and Oceanic Sciences

July 14 - August 2, 2003

Schedule


Monday, July 14, 2003

10:00 - 11:30
Bjorn Engquist (Princeton University)

Overview of numerical methods for time dependent PDEs

1:00 - 2:30
Dale Durran (University of Washington)

Basic properties of finite-differences for convection

3:00 - 4:30
Eitan Tadmor (University of Maryland)

Numerics and analysis of approximate solution for non-linear time dependent problems


Tuesday, July 15, 2003

9:00 - 10:30
Bjorn Stevens (UCLA)

Geophysical interface problems - I

11:00 - 12:30
Stanley Osher (IPAM)

Concepts behind front and shock capturing

2:00 - 3:30
Bjorn Engquist (Princeton University)

Numerical methods for front capturing

4:00 - 5:30
Dale Durran (University of Washington)

Dealing with poor resolution: compact differencing and global smoothing


Wednesday, July 16, 2003

9:00 - 10:30
Eitan Tadmor (University of Maryland)

High resolution central schemes

11:00 - 12:30
Stanley Osher (IPAM)

Level Set methods

2:00 - 3:30
Bjorn Stevens (UCLA)

Geophysical interface problems - II

4:00 - 5:30
Bjorn Engquist (Princeton University)

Computational Multiscale Methods


Thursday, July 17, 2003

9:00 - 10:30
Dale Durran (University of Washington)

Dealing with poor resolution: locally enhanced smoothing

11:00 - 12:30
Eitan Tadmor (University of Maryland)

Spectral Methods for time-dependent problems

2:00 - 3:30
Stanley Osher (IPAM)

Level-Sets and Multi-Phase Flow

4:00 - 5:30
Bjorn Stevens (UCLA)

A toy one-dimensional problem


Friday, July 18, 2003

11:00 - 12:00
Special Lecture by Bjorn Engquist (Princeton University)

Modern multiscale simulation


Monday, July 21, 2003

9:00 - 10:15
Gregory Hakim (University of Washington)

Geophysical motivations for multiscale asymptotics

10:45 - 12:00
Peter Kramer (Rensselaer Polytechnic Institute)

Parameterization in turbulent transport

1:30 - 2:45
Rupert Klein (Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB))

A tutorial on multiscale asymptotics

3:15 - 4:30
Andrew Majda (New York University)

An Introduction to wave averaging


Tuesday, July 22, 2003

8:30 - 9:45
James McWilliams (UCLA)

The Multiscale asymptotics of Waves-Winds and Currents (WWC) - I

10:00 - 11:15
Peter Kramer (Rensselaer Polytechnic Institute)

Homogenization theory (Framework)

11:30 - 12:45
Andrew Majda (New York University)

Equatorial multiscale theory-I

1:45 - 3:00
Gregory Hakim (University of Washington)

Extratropical asymptotics of the atmosphere


Wednesday, July 23, 2003

9:00 - 10:15
Andrew Majda (New York University)

Majda Equatorial multiscale theory-II

10:45 - 12:00
Gregory Hakim (University of Washington)

Extratropical asymptotics of the atmosphere

1:30 - 2:45
James McWilliams (UCLA)

WWC-multiscale theory - II

3:15 - 4:30
Rupert Klein (Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB))

A unified approach to meteorological modeling-I


Thursday, July 24, 2003

8:30 - 9:45
James McWilliams (UCLA)

WWC-multiscale theory - III

10:00 - 11:15
Rupert Klein (Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB))

A unified approach to meteorological modeling - II

11:30 - 12:45
Peter Kramer (Rensselaer Polytechnic Institute)

Homogenization theory (Lessons)


Monday, July 28, 2003

9:00 - 10:15
Kerry Emanuel (Massachusetts Institute of Technology)

Fundamentals of atmospheric convection

10:45 - 12:00
David Levermore (University of Maryland)

Introduction to the Boltzmann Equation

1:30 - 2:45
Markos Katsoulakis (University of Massachusetts)

Intro to statistical mechanics

3:15 - 4:30
Eric Vanden-Eijnden (New York University/Courant Institute of Mathematical Sciences)

Stochastic process theory


Tuesday, July 29, 2003

8:30 - 9:45
Kerry Emanuel (Massachusetts Institute of Technology)

Convective equilibrium

10:00 - 11:15
George Craig (University of Reading)

Stat-Mech of atmospheric convection-I

11:30 - 12:45
Markos Katsoulakis (University of Massachusetts)

Stochastic lattice dynamics

1:45 - 3:00
David Levermore (University of Maryland)

Radiative Transport and other Kinetic Equations


Wednesday, July 30, 2003

9:00 - 10:15
Kerry Emanuel (Massachusetts Institute of Technology)

Convection and larger-scale circulations

10:45 - 12:00
George Craig (University of Reading)

Stat-Mech of atmospheric convection-II

1:30 - 2:45
Markos Katsoulakis (University of Massachusetts)

Large-scale limits

3:15 - 4:30
Eric Vanden-Eijnden (New York University/Courant Institute of Mathematical Sciences)

Stochastic differential equations - I


Thursday, July 31, 2003

8:30 - 9:45
David Levermore (University of Maryland)

Entropy-Based Closures

10:00 - 11:15
George Craig (University of Reading)

Stat-Mech of Atmospheric convection-III

11:30 - 12:45
Eric Vanden-Eijnden (New York University/Courant Institute of Mathematical Sciences)

Stochastic differential equations - II


Friday, August 1, 2003

11:00 - 12:00
Special Lecture by Eric Vanden-Eijnden (Courant Institute of Mathematical Sciences )

Effective dynamics in Lorenz 95 system