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Alexander Yu. Morozov and Dmitry L. Reviznikov
Problems with interval uncertainties arise in many applied fields. The authors have earlier developed, tested, and proved an adaptive interpolation algorithm for solving this class of problems. The algorithm?s idea consists of constructing a piecewise po...
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Olli Jansson and Matthew W. Harris
This paper presents new techniques for the trajectory design and control of nonlinear dynamical systems. The technique uses a convex polytope to bound the range of the nonlinear function and associates with each vertex an auxiliary linear system. Provide...
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Jiachen Wang and Zhou Zhou
This paper introduces the novel application of the mass and force lumping technique to enhance the finite element discretization of the fully intrinsic beam formulation. In our aeroelastic system model, 2-D unsteady aerodynamics were incorporated alongsi...
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Krzysztof Wojciech Fornalski
Every living organism is a physical, complex system which can be modeled by nonlinear dynamical equations in some very narrowed cases. Here we discuss the adoption and potential application of Lotka?Volterra equations (with damping) to simulate, on a ver...
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Yinfeng Xu, Xiaohui Liu, Feng Zhou, Xueen Chen, Ruijie Ye and Dake Chen
Upwelling is a widespread phenomenon in the ocean and plays key roles in the marine environment, marine fishery and air?sea carbon exchange. In coastal regions, the upwelling is usually modulated by tides and complex topography, but the dynamical mechani...
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