Modern Applied Mathematics for the Atmospheric and Oceanic Sciences

July 14 - August 2, 2003

Schedule

All times in this Schedule are Pacific Time (PT)

Week 1: Numerics - July 14 - 20, 2003


Monday, July 14, 2003

Morning Session

8:30 - 9:30 Continental Breakfast
Orientation, Room Assignment (Students)
9:30 - 9:45 Meeting in Oasis with IPAM Staff (Students)
10:00 - 11:30
Bjorn Engquist (Princeton University)

Overview of numerical methods for time dependent PDEs

12:00 - 1:00 Bruin Deli Lunch (RIPS participants Invited)

Afternoon Session

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

Morning Session

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

Geophysical interface problems - I

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

Concepts behind front and shock capturing

12:30 - 2:00 Lunch (on your own)

Afternoon Session

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

Morning Session

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

High resolution central schemes

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

Level Set methods

12:30 - 2:00 Lunch (on your own)

Afternoon Session

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

Morning Session

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

12:30 - 2:00 Lunch (on your own)

Afternoon Session

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

Students work on Projects
11:00 - 12:00
Special Lecture by Bjorn Engquist (Princeton University)

Modern multiscale simulation

12:00 - 1:30 Pizza Lunch (RIPS participants Invited)

Saturday, July 19, 2003

Students work on Projects

Sunday, July 20, 2003

Visit to the Getty Center

Week 2: Asymptotics - July 21 - 27, 2003


Monday, July 21, 2003

Morning Session

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

12:00 - 1:30 Lunch (on your own)

Afternoon Session

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

Morning Session

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

12:45 - 1:45 Lunch (on your own)

Afternoon Session

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

Extratropical asymptotics of the atmosphere


Wednesday, July 23, 2003

Morning Session

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

12:00 - 1:30 Lunch (on your own)

Afternoon Session

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

5:00 - 7:00 Dinner (Hosted by IPAM)

Thursday, July 24, 2003

Morning Session

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)


Friday, July 25, 2003

Students work on Projects

Saturday, July 26, 2003

Students work on Projects

Sunday, July 27, 2003

Visit to Venice Beach

Week 3: Stochastics - July 28 - August 2, 2003


Monday, July 28, 2003

Morning Session

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

12:00 - 1:30 Lunch (on your own)

Afternoon Session

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

Morning Session

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

12:45 - 1:45 Lunch (on your own)

Afternoon Session

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

Radiative Transport and other Kinetic Equations


Wednesday, July 30, 2003

Morning Session

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

12:00 - 1:30 Lunch (on your own)

Afternoon Session

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

Morning Session

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

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

Effective dynamics in Lorenz 95 system

12:00 - 1:00 Lunch at IPAM (RIPS participants Invited)

Saturday, August 2, 2003

Students work on Projects