The N-body problem is a system of N second-order differential equations that cannot be expressed as a closed-form solution to date. This project weighs the options of using various numerical ...
SIAM Journal on Numerical Analysis, Vol. 51, No. 2 (2013), pp. 1134-1162 (29 pages) Alternating linear schemes (ALS), with the alternating least squares algorithm a notable special case, provide one ...
Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...
We analyze the semidiscrete mixed finite element methods for parabolic integro-differential equations that arise in the modeling of nonlocal reactive flows in porous ...
Abstract: We investigate accelerated zeroth-order algorithms for smooth composite convex optimization problems. While for unconstrained optimization, existing methods that merge 2-point zeroth-order ...
Yurii Nesterov is an applied mathematician recognized for his work on development of efficient numerical methods for optimization problems. His main results are related to comprehensive complexity ...
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