Reduced basis - PowerPoint PPT Presentation

Reduced Numerical Methods for Multiphysics

Alfio Quarteroni EPFL - Lausanne, Switzerland and MOX - Politecnico di Milano, Italy. Reduced Numerical Methods for Multiphysics. REDUCING COMPLEXITY IN THE NUMERICAL APPROXIMATION OF PDEs BY MODEL REDUCTION GEOMETRICAL REDUCTION REDUCED BASIS APPROXIMATION INTERFACE REDUCTION IN FSI.

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556 views • 53 slides

Finding Reduced Basis for Lattices

Math/Csc 870. Finding Reduced Basis for Lattices. Ido Heskia. Introduction. Due to: A.K. L enstra H.W. L enstra L. L ovasz. LLL Algorithm. A Lattice. 1. 2. Let n be a positive integer. A subset L of the n-dimensional real vector space is

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368 views • 24 slides

Poking Holes in Knapsack Cryptosystems

Poking Holes in Knapsack Cryptosystems. Grayson Myers. Knapsack (Subset Sum) Problem. Given integers a 1 ,…,a n Given a target sum S (“knapsack”). Determine if there exists a subset of the integers that sums to S. In other words, find binary x 1 ,…,x n so: S = ∑ x i *a i NP-complete.

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222 views • 8 slides

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