| Douglas Arnold |
| IMA & University of Minnesota |
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Numerical analysis, partial differential equations and mechanics |
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Numerical linear algebra and high-performance computing |
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Number theory and algorithms |
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Numerical partial differential equations and scientific computing |
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Numerical ordinary differential equations and geometric numerical integration |
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Nonsmooth optimization and analysis; eigenvalue optimization |
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Wavelets, signal processing, computational harmonic analysis |
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Symbolic analysis, symmetry methods, geometric numerical integration |
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Hyperbolic 3-manifolds and their computational aspects |
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Computational proofs in dynamical systems, Conley index theory |
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Complexity theory, algebraic geometry |
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High dimensional numerical integration, complexity theory, approximation theory, numerical integral and differential equations |
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Computational algebra, combinatorics, algebraic geometry |
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Numerical partial differential equations |
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Combinatorial optimization, algorithmic game theory |
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Approximation theory |
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Smoothed analysis and complexity, combinatorial algorithms |
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Control theory and partial differential equations |