Results 41 to 50 of about 22,103,434 (252)
Analysis of a Time-Stepping Scheme for Time Fractional Diffusion Problems with Nonsmooth Data [PDF]
This paper establishes the convergence of a time-steeping scheme for time fractional diffusion problems with nonsmooth data. We first analyze the regularity of the model problem with nonsmooth data, and then prove that the time-steeping scheme possesses ...
Binjie Li, Hao Luo, Xiaoping Xie
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Finite element analysis of nonsmooth contact [PDF]
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Kane, C.+3 more
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Subdifferentiability spaces and nonsmooth analysis [PDF]
The author introduces a notion of a ''subdifferentiability Banach space'' characterized by subdifferentiability properties of the lower semicontinuous nonconvex functions defined on them. Properties of four classes of such spaces are described and three open questions, related to whether any Asplund space has a Fréchet differentiable norm, are stated ...
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Investigation of the Effect of Dimple Bionic Nonsmooth Surface on Tire Antihydroplaning
Inspired by the idea that bionic nonsmooth surfaces (BNSS) reduce fluid adhesion and resistance, the effect of dimple bionic nonsmooth structure arranged in tire circumferential grooves surface on antihydroplaning performance was investigated by using ...
Haichao Zhou+4 more
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Optimizing condition numbers [PDF]
In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Jane J. Ye, Lewis A.S., Pierre Maréchal
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One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin+4 more
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Asynchronous Optimization Methods for Efficient Training of Deep Neural Networks with Guarantees
Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training.
Alistarh, Dan+3 more
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Canard-like phenomena in piecewise-smooth Van der Pol systems [PDF]
We show that a nonlinear, piecewise-smooth, planar dynamical system can exhibit canard phenomena. Canard solutions and explosion in nonlinear, piecewise-smooth systems can be qualitatively more similar to the phenomena in smooth systems than piecewise ...
Andrew Roberts+4 more
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Dempe, Stephan, Zemkoho, Alain B.
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Nonsmooth PI Controller for Uncertain Systems
This paper investigates the problem of nonsmooth feedback stabilization for the higher order uncertain chain of integrators. For achieving the specified goal, the integral term of classical Proportional-Integral (PI) controller is replaced by an integral
Sharat Chandra Mahto+6 more
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