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IMA Annual Program workshops and tutorials |

AP Workshop: User-Centered ModelingMay 07-11, 2012 |

AP Workshop: Machine Learning: Theory and ComputationMarch 26-30, 2012 |

AP Workshop: Network Links: Connecting Social, Communication, and Biological Network AnalysisFebruary 27-March 02, 2012 |

AP Workshop: Group Testing Designs, Algorithms, and Applications to BiologyFebruary 13-17, 2012 |

AP Workshop: Large Data Sets in Medical InformaticsNovember 14-18, 2011 |

AP Workshop: High Dimensional PhenomenaSeptember 26-30, 2011 |

AP Workshop: Large-scale Inverse Problems and Quantification of UncertaintyJune 06-10, 2011 |

AP Workshop: Societally Relevant ComputingApril 11-15, 2011 |

AP Workshop: Computing in Image Processing, Computer Graphics, Virtual Surgery, and SportsMarch 07-11, 2011 |

Tutorial: Computing and Image Processing with Data Related to Humans and Human ActivitiesMarch 05-06, 2011 |

AP Workshop: High Performance Computing and Emerging ArchitecturesJanuary 10-14, 2011 |

Tutorial: Scientific Computing Using Graphics ProcessorsJanuary 09, 2011 |

AP Workshop: Numerical Solutions of Partial Differential Equations: Novel Discretization TechniquesNovember 01-05, 2010 |

AP Workshop: Computing with Uncertainty: Mathematical Modeling, Numerical Approximation and Large Scale Optimization of Complex Systems with UncertaintyOctober 18-22, 2010 |

Porous flow as a high dimensional challenge, Ian H. Sloan (University of New South Wales) |

Monte Carlo sampling techniques for solving stochastic and large scale deterministic optimization problems, Alexander Shapiro (Georgia Institute of Technology) |

Stochastic models with application to approximation of optimization problems, Christian Louis Hess (Université de Paris-Dauphine) |

Generating and handling scenarios in stochastic programming, Werner Römisch (Humboldt-Universität) |

Multi-resolution stochastic Galerkin methods for uncertain hyperbolic flows, Olivier Pierre Le Maître (Centre National de la Recherche Scientifique (CNRS)) |

Quantifying uncertainty in climate change science: Empirical information theory, fluctuation dissipation theorems, and physics based statistics, Andrew J. Majda (New York University) |

Tools for analyzing variational models, Stephen Michael Robinson (University of Wisconsin) |

Complexity and heuristics in stochastic optimization, Teemu Pennanen (Helsinki University of Technology) |

Progressive hedging for multi-stage stochastic optimization problems, Jean-Paul Watson (Sandia National Laboratories), David L. Woodruff (University of California, Davis) |

Validating models of complex physical systems and associated uncertainty models, Robert D. Moser (University of Texas at Austin) |

Accounting for variability and uncertainty in a complex brain metabolic model via a probabilistic framework, Daniela Calvetti (Case Western Reserve University) |

Panel Session: "Uncertainty in PDEs and optimizations, interations, synergies, challenges", Suvrajeet Sen, Moderator (Ohio State University), Timothy J. Barth (NASA Ames Research Center), Omar Ghattas (University of Texas at Austin), Alejandro Rene Jofre (University of Chile), Robert P. Lipton (Louisiana State University), Stephen Michael Robinson (University of Wisconsin) |

Weak Convergence of Numerical Methods for Dynamical Systems and Optimal Control, and a relation with Large Deviations for Stochastic Equations, Mattias Sandberg (Royal Institute of Technology) |

Measures of risk in stochastic optimization, R. Tyrrell Rockafellar (University of Washington) |

An extended mathematical programming framework, Michael C. Ferris (University of Wisconsin) |

Second moment analysis of elliptic problems with stochastic input parameters, Helmut Harbrecht (Universität Stuttgart) |

Robust estimates for stochastic discrete-time nonlinear systems (robust Kalman filtering/smoothing), Aleksandr Yakovlevitch Aravkin (University of Washington) |

Do electricity markets generate electricity inefficiently?, Andy Philpott (University of Auckland) |

On the need for uncertainty quantification in hyperbolic PDE applications at Sandia National Laboratories, Guglielmo Scovazzi (Sandia National Laboratories) |

A stochastic programming groundwater remediation — flow/transport through porous media, Jean-Paul Watson (Sandia National Laboratories) |

Accelerated kinetic Monte Carlo methods: Hierarchical parallel algorithms and coarse-graining, Markos A. Katsoulakis (University of Massachusetts) |

Model reduction for uncertainty quantification and optimization under uncertainty of large-scale complex systems, Karen E. Willcox (Massachusetts Institute of Technology) |

Multi-scale structural optimization in the presence of uncertainty for very large composite structures, Robert P. Lipton (Louisiana State University) |

Tutorial: Computing with UncertaintyOctober 16-17, 2010 |

AP Workshop: Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and SlidingJune 01-05, 2010 |

AP Workshop: Transport and Mixing in Complex and Turbulent FlowsApril 12-16, 2010 |

Tutorial: Transport and Mixing in Complex and Turbulent FlowsApril 11, 2010 |

Tutorial: Tutorial on Analysis and Computation of Incompressible Fluid FlowFebruary 21, 2010 |

IMA Hot Topics workshops and special events |

Special Workshop: Workshop for Women in Analysis and PDEMay 30-June 02, 2012 |

Hot Topics Workshop: The Mathematics of the New Financial SystemsMay 17-19, 2012 |

Special Workshop: Second Abel Conference: A Celebration of John MilnorJanuary 30-February 01, 2012 |

Special Workshop: Macaulay2July 25-29, 2011 |

Hot Topics Workshop: Uncertainty Quantification in Industrial and Energy Applications: Experiences and ChallengesJune 02-04, 2011 |

Hot Topics Workshop: Strain Induced Shape Formation: Analysis, Geometry and Materials ScienceMay 16-20, 2011 |

Special Workshop: First Abel Conference A Mathematical Celebration of John TateJanuary 03-05, 2011 |

Special Workshop: Kickoff Workshop for Project MOSAICJune 30-July 02, 2010 |

Special Workshop: Physical Knotting and Linking and its ApplicationsApril 09, 2010 |

Special Workshop: Career Options for Underrepresented Groups in Mathematical SciencesMarch 25-27, 2010 |

IMA Seminars on Industrial Problems |

Industrial Problems Seminar: Sathiya Keerthi: Large scale information extraction from the webFebruary 11, 2011 |

Industrial Problems Seminar: Genetha Anne Gray - Identifying and quantifying uncertainty in computational modelsMay 07, 2010 |

Industrial Problems Seminar: Anthony Jose Kearsley - Optimal chemical spectroscopyApril 30, 2010 |

Industrial Problems Seminar: Bonita Saunders - Applying numerical grid generation to the visualization of complex function dataApril 09, 2010 |

IMA Postdoc Seminars |

IMA New Directions short courses |

Lecture 1 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 1 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 2 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 1 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 3 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 2 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 3 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Ensemble Dynamics and Bred Vectors |

Lecture 1 -Computation of limit cycles and their isochrons: Applications to biology |

Lecture 4 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 4 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 5 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 6 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 5 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 6 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 7 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 2 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 7 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 8 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 8 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 2 - Computation of limit cycles and their isochrons: Applications to biology |

Lecture 3 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 9 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 9 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 3 - Numerical implementation of computations of invariant tori in Hamiltonian systems |

Lecture 1 - Space Mission Design with Dynamical Systems Theory |

Lecture 2 - Space Mission Design with Dynamical Systems Theory |

Exchange lemmas |

Loss of normal hyperbolicity |

Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert space |

Small solutions of nonlinear Schrodinger equations near first excited states |

Conditional Stability Theorems for Special Solutions of Nonlinear PDEs |

Stable and unstable manifolds for bisemigroups |

Generalized cyclic feedback system for the biomedical interaction network |

Numerical Fourier analysis of quasi-periodic functions |

Differential equations with multiple lags |

Numerical study of regularity of functions related to critical objects |

Breakup of an invariant circle in a noninvertible map of the plane |

Some observations from computations of the Kohn-M\"{u}ller model |

Central Configurations of the N-body problem. |

Monge-Kantorovich optimal transport problem |

Energy and emissions markets, and the existing cap-and-trade schemes |

Simulations of realistic EU ETS models joint work with U. Cetin & P. Barrieu (London School of Economics) |

Strictly convex transportation costs |

Discrete time competitive equilibrium models for cap-and-trade schemes and the carbon tax |

Implementation of a simple model: first example |

The case cost=distance |

Mathematical models for allocation mechanisms and cost distribution |

Implementation of a simple model: second example |

Economic applications of optimal transport |

Discrete time competitive equilibrium models for cap-and-trade schemes and the clean development mechanism |

Non-constant discount rates, time inconsistency, and the golden rule |

Congested transport |

Stochastic optimization and first continuous time models of cap-and-trade schemes |

The Merton problem with hyperbolic discounting |

Binary martingales and option pricing: 1) Reduced form models; 2) Perturbation methods |

Stochastic target problems and viscosity solutions |

Martingale representation theorem for the G-expectation |

Second order stochastic target problems |

Singular BSDEs appearing in cap-and-trade models |

Strict local martingale deflators and pricing American call-type options |

Dynamic oligopolies and differential games. I |

Backward stochastic differential equations and connection with semilinear PDEs |

Game theory, Nash equilibrium, and electricity prices with strategic market players |

Evaluating regulatory strategies for emmision abatement - An engineering approach |

Optimal switching problems and applications in energy finance |

Second order backward stochastic differential equations and connection with fully nonlinear PDEs |

Stochastic games: Pontryagin maximum principle and the Isaacs conditions |

Dynamic oligopolies and differential games. II |

Numerical methods for BSDEs and applications |

Examples of linear-quadratic stochastic games in environmental finance |

New Directions Short Course: Invariant Objects in Dynamical Systems and their ApplicationsJune 20-July 01, 2011 |

Lecture 1 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 1 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 2 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 1 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 3 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 2 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 3 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Ensemble Dynamics and Bred Vectors |

Lecture 1 -Computation of limit cycles and their isochrons: Applications to biology |

Lecture 4 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 4 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 5 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 6 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 5 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 6 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 7 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 2 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 7 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 8 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 8 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 2 - Computation of limit cycles and their isochrons: Applications to biology |

Lecture 3 - Automatic differentiation methods in computational dynamical systems: invariant manifolds and normal forms |

Lecture 9 - Quasi-periodic solutions in dynamical systems and their role in global dynamics |

Lecture 9 - Normally Hyperbolic Invariant Manifolds: Existence, Persistence, Approximation, and Their Applications |

Lecture 3 - Numerical implementation of computations of invariant tori in Hamiltonian systems |

Lecture 1 - Space Mission Design with Dynamical Systems Theory |

Lecture 2 - Space Mission Design with Dynamical Systems Theory |

Exchange lemmas |

Loss of normal hyperbolicity |

Lyapunov exponents, periodic orbits, and horseshoes for semiflows on Hilbert space |

Small solutions of nonlinear Schrodinger equations near first excited states |

Conditional Stability Theorems for Special Solutions of Nonlinear PDEs |

Stable and unstable manifolds for bisemigroups |

Generalized cyclic feedback system for the biomedical interaction network |

Numerical Fourier analysis of quasi-periodic functions |

Differential equations with multiple lags |

Numerical study of regularity of functions related to critical objects |

Breakup of an invariant circle in a noninvertible map of the plane |

Some observations from computations of the Kohn-M\"{u}ller model |

Central Configurations of the N-body problem. |

New Directions Short Course: New Mathematical Models in Economics and FinanceJune 07-18, 2010 |

Monge-Kantorovich optimal transport problem |

Energy and emissions markets, and the existing cap-and-trade schemes |

Simulations of realistic EU ETS models joint work with U. Cetin & P. Barrieu (London School of Economics) |

Strictly convex transportation costs |

Discrete time competitive equilibrium models for cap-and-trade schemes and the carbon tax |

Implementation of a simple model: first example |

The case cost=distance |

Mathematical models for allocation mechanisms and cost distribution |

Implementation of a simple model: second example |

Economic applications of optimal transport |

Discrete time competitive equilibrium models for cap-and-trade schemes and the clean development mechanism |

Non-constant discount rates, time inconsistency, and the golden rule |

Congested transport |

Stochastic optimization and first continuous time models of cap-and-trade schemes |

The Merton problem with hyperbolic discounting |

Binary martingales and option pricing: 1) Reduced form models; 2) Perturbation methods |

Stochastic target problems and viscosity solutions |

Martingale representation theorem for the G-expectation |

Second order stochastic target problems |

Singular BSDEs appearing in cap-and-trade models |

Strict local martingale deflators and pricing American call-type options |

Dynamic oligopolies and differential games. I |

Backward stochastic differential equations and connection with semilinear PDEs |

Game theory, Nash equilibrium, and electricity prices with strategic market players |

Evaluating regulatory strategies for emmision abatement - An engineering approach |

Optimal switching problems and applications in energy finance |

Second order backward stochastic differential equations and connection with fully nonlinear PDEs |

Stochastic games: Pontryagin maximum principle and the Isaacs conditions |

Dynamic oligopolies and differential games. II |

Numerical methods for BSDEs and applications |

Examples of linear-quadratic stochastic games in environmental finance |

IMA Mathematical Modeling in Industry |

IMA Topics Courses |

Finite Element Exterior Calculus Course I Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course II Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course III Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course IV |

Finite Element Exterior Calculus Course V Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course VI Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course VII Douglas N. Arnold (School of Mathematics, University of Minnesota) |

Finite Element Exterior Calculus Course VIII Douglas N. Arnold (School of Mathematics, University of Minnesota) |