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A fast nested dissection solver for Cartesian 3D elliptic problems using hierarchical matrices
Elliptic equations Fast algorithms Nested dissection Hierarchical matrices Sparse matrix
2015/7/14
We present a fast algorithm for solutions to linear systems arising from three dimensional elliptic problems on a regular Cartesian mesh. We follow the approach of Schmitz and Ying (2012) on combining...
An adaptive sequential optimum design for model selection and parameter estimation in non-linear nested models
D-optimality KL-optimality DKL-optimality log-likelihood ratio test stochastic convergence sequential optimum design
2011/10/9
Abstract: This work propose a sequential procedure which is useful to select the best model among several nested non-linear models and to estimate efficiently the parameters of the chosen model. At ea...
Sums of Ceiling Functions Solve Nested Recursions
Nested recursion Ceiling function Formal satisfaction Equivalence class
2011/9/15
Abstract: It is known that, for given integers s \geq 0 and j > 0, the nested recursion R(n) = R(n - s - R(n - j)) + R(n - 2j - s - R(n - 3j)) has a closed form solution for which a combinatorial inte...
SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold
Epidemics SIR Reed-Frost percolation long-range directed scale-free modular nested communities hierarchical
2011/8/30
Abstract: We propose a class of random scale-free spatial networks with nested community structures and analyze Reed-Frost epidemics with community related independent transmissions. We show that the ...
Existence of doubling measures via generalised nested cubes
doubling measures via generalised nested cubes
2010/11/9
Using generalised dyadic cubes and the mass distribution principle, we give a straightforward new proof for the existence of doubling measures in complete doubling metric spaces.
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order
Univalent functions, Starlike functions of order $alpha$ Convex functions of order $alpha$ Inverse functions Coefficient estimates
2008/7/1
Coefficients of Inverse Functions in a Nested Class of Starlike Functions of Positive Order.