Renormalization group second‐order approximation for singularly perturbed nonlinear ordinary differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.5107
Abstract: Abstract]We consider a two time scale nonlinear system of ordinary differential equations. The small parameter of the system is the ratio ε of the time scales. We search for an approximation involving only the slow… read more here.
Keywords: ordinary differential; order; order approximation; time ... See more keywords
Gedanken experiments at high-order approximation: nearly extremal Reissner-Nordström black holes cannot be overcharged
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DOI: 10.1007/jhep05(2020)161
Abstract: The new version of the gedanken experiment proposed by Sorce and Wald has been used to examine the weak cosmic censorship conjecture (WCCC) for black holes at the second-order approximation of the matter fields perturbation.… read more here.
Keywords: order; order approximation; black holes; nearly extremal ... See more keywords
A generic construction for high order approximation schemes of semigroups using random grids
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DOI: 10.1007/s00211-021-01219-2
Abstract: Our aim is to construct high order approximation schemes for general semigroups of linear operators $P_{t},t\geq 0$. In order to do it, we fix a time horizon $T $ and the discretization steps $h_{l}=\frac{T}{n^{l}},l\in \mathbb{N}$… read more here.
Keywords: order approximation; order; approximation; omega omega ... See more keywords
On the Quality of First-Order Approximation of Functions with Hölder Continuous Gradient
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DOI: 10.1007/s10957-020-01632-x
Abstract: We show that Hölder continuity of the gradient is not only a sufficient condition, but also a necessary condition for the existence of a global upper bound on the error of the first-order Taylor approximation.… read more here.
Keywords: gradient; quality first; first order; order approximation ... See more keywords
On Moore-Penrose Pseudoinverse Computation for Stiffness Matrices Resulting from Higher Order Approximation
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DOI: 10.1155/2019/5060397
Abstract: Computing the pseudoinverse of a matrix is an essential component of many computational methods. It arises in statistics, graphics, robotics, numerical modeling, and many more areas. Therefore, it is desirable to select reliable algorithms that… read more here.
Keywords: order approximation; computation; higher order; pseudoinverse computation ... See more keywords