This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

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Abstract: Nonlinear equation systems (NESs) are ubiquitous, and solving them is an important yet challenging task in numerical computation. Most of the NESs usually contain multiple roots. To locate ...

Abstract: In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, ...

% Please find details of all the parameters in "load_default_GMMNLSE_propagate.m". % Only necessary parameters are set here; otherwise, default is used. % Please find details of all the parameters in ...

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It might be possible to probe a close analogue of zitterbewegung by recreating the mathematics of Dirac's equation in a quantum wire. Dirac's equation has an infinite number of solutions with negative ...