Results 31 to 40 of about 335,151 (313)
A hybrid approach for piecewise fractional reaction–diffusion equations
Results in Physics, 2023 In this paper, the Caputo and Atangana–Baleanu fractional derivatives are handled to introduce a type of piecewise fractional derivative. More precisely, a linear combination of the Caputo and Atangana–Baleanu fractional derivatives are considered in ...
M.H. Heydari, Sh. Zhagharian
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Ergodic Theory and Dynamical SystemsAbstractWe study piecewise injective, but not necessarily globally injective, contracting maps on a compact subset of ${\mathbb R}^d$ . We prove that, generically, the attractor and the set of discontinuities of such a map are disjoint, and hence the attractor consists of periodic orbits. In addition, we prove that piecewise injective contractions are
JAIN, SAKSHI, LIVERANI, CARLANGELO
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Approximating gradients with continuous piecewise polynomial functions [PDF]
, 2014 Motivated by conforming finite element methods for elliptic problems of second order, we analyze the approximation of the gradient of a target function by continuous piecewise polynomial functions over a simplicial mesh.
Veeser, Andreas
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Piecewise Omnigenous Stellarators
Physical Review LettersIn omnigenous magnetic fields, charged particles are perfectly confined in the absence of collisions and turbulence. For this reason, the magnetic configuration is optimized to be close to omnigenity in any candidate for a stellarator fusion reactor.
J. L. Velasco +5 more
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On shuffle products, acyclic automata and piecewise-testable languages
, 2019 We show that the shuffle $L \unicode{x29E2} F$ of a piecewise-testable language $L$ and a finite language $F$ is piecewise-testable. The proof relies on a classic but little-used automata-theoretic characterization of piecewise-testable languages.
Halfon, Simon, Schnoebelen, Philippe
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Cake Cutting Algorithms for Piecewise Constant and Piecewise Uniform Valuations [PDF]
, 2013 Cake cutting is one of the most fundamental settings in fair division and mechanism design without money. In this paper, we consider different levels of three fundamental goals in cake cutting: fairness, Pareto optimality, and strategyproofness.
A. Bogomolnaia +11 more
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Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC [PDF]
Modeling, Identification and Control, 2010 Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics.
Morten Hovd, Sorin Olaru
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Bernoulli Convolutions and 1D Dynamics [PDF]
, 2015 We describe a family $\phi_{\lambda}$ of dynamical systems on the unit interval which preserve Bernoulli convolutions. We show that if there are parameter ranges for which these systems are piecewise convex, then the corresponding Bernoulli convolution ...
Kempton, Tom, Persson, Tomas
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Dynamics of piecewise contractions of the interval
, 2012 We study the asymptotical behaviour of iterates of piecewise contractive maps of the interval. It is known that Poincar\'e first return maps induced by some Cherry flows on transverse intervals are, up to topological conjugacy, piecewise contractions ...
ARNALDO NOGUEIRA +2 more
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Realistic computable error bounds for three dimensional finite element analyses in linear elasticity [PDF]
, 2011 We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions.
Ainsworth, Mark +1 more
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