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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 |

Tutorial: Computing with UncertaintyOctober 16-17, 2010 |

Lecture 2. Mathematical problems parametrized by a finite number of input random variables (finite dimensional case). Perturbation techniques and second order moment analysis. Sampling methods: Monte Carlo and variants; convergence analysis, Raul F. Tempone (King Abdullah University of Science & Technology) |

A brief review of variational analysis, Roger J.B. Wets (University of California, Davis) |

A brief review of variational analysis (continued), Roger J.B. Wets (University of California, Davis) |

Random sets, Roger J.B. Wets (University of California, Davis) |

Lecture 4. Elliptic equations with random input parameters: regularity results; convergence analysis for Galerkin and Collocation approximations. Anisotropic approximations, Raul F. Tempone (King Abdullah University of Science & Technology) |

Random lsc functions and expectation functionals, Roger J.B. Wets (University of California, Davis) |

Random lsc functions and expectation functionals (continued), Roger J.B. Wets (University of California, Davis) |

Introduction to the calculus of expectation functionals, Roger J.B. Wets (University of California, Davis) |

Lecture 5. Numerical examples, numerical comparison of SGM and SCM. Adaptive approximation, Raul F. Tempone (King Abdullah University of Science & Technology) |

Lecture 6. The infinite dimensional case, Christoph Schwab (ETH Zürich) |

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) |