70 citations · 397 across the 50 of their papers we have counts for
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math.NA2021★ 2 cited
Singularity Formation in the Deterministic and Stochastic Fractional Burgers Equation
Elkin Ramírez, Bartosz Protas
This study is motivated by the question of how singularity formation and other forms of extreme behavior in nonlinear dissipative partial differential equations are affected by sto…
math.NA2018
A gradient method in a Hilbert space with an optimized inner product: achieving a Newton-like convergence
Arian Novruzi, Bartosz Protas
In this paper we introduce a new gradient method which attains quadratic convergence in a certain sense. Applicable to infinite-dimensional unconstrained minimization problems pose…
math.NA2013★ 1 cited
A Method for Geometry Optimization in a Simple Model of Two-Dimensional Heat Transfer
Xiaohui Peng, Katsiaryna Niakhai, Bartosz Protas
This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems. We consider a simple model of two-dimensional steady-state heat cond…