Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds
, 2023 For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes the best-possible error for a reduced order model (ROM) of size n.
Buchfink, Patrick +2 more
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Atomic to continuum passage for nanotubes. Part II: error estimates [PDF]
, 2012 We consider deformations in $\R^3$ of an infinite general nanotube of atoms where each atom interacts with all the other through a two-body potential. We compute the effect of an external force applied to the nanotube.
El Kass, Danny, Monneau, Régis
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On global error estimation and control for initial value problems [PDF]
, 2005 This paper addresses global error estimation and control for initial value problems for ordinary differential equations. The focus lies on a comparison between a novel approach based on the adjoint method combined with a small sample statistical ...
Lang, J. (Jens), Verwer, J.G. (Jan)
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Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition. [PDF]
BMC Res Notes, 2023 Wondimu GM +3 more
europepmc +1 more source
Low-rank Parareal: a low-rank parallel-in-time integrator. [PDF]
BIT Numer Math, 2023 Carrel B, Gander MJ, Vandereycken B.
europepmc +1 more source
F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
europepmc +1 more source
A Posteriori Error Estimates for Fully Discrete Finite Element Method for Generalized Diffusion Equation with Delay. [PDF]
J Sci Comput, 2020 Wang W, Yi L, Xiao A.
europepmc +1 more source
A posteriori error estimates for the BDF2 method for parabolic equations [PDF]
, 2010 Akrivis, Georgios +1 more
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The new modified Ishikawa iteration method for the approximate solution of different types of differential equations [PDF]
, 2013 core +1 more source