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Performance impact of precision reduction in sparse linear systems solvers [PDF]
PeerJ Computer Science, 2022 It is well established that reduced precision arithmetic can be exploited to accelerate the solution of dense linear systems. Typical examples are mixed precision algorithms that reduce the execution time and the energy consumption of parallel solvers ...
Mawussi Zounon +3 more
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Overset Grid Assembler and Flow Solver with Adaptive Spatial Load Balancing
Applied Sciences, 2021 An overset mesh approach is useful for unsteady flow problems which involve components moving relative to each other. Since the generation of a single mesh around all components is prone to mesh stretching due to the relative motion of bodies, using the ...
Orxan Shibliyev, Ibrahim Sezai
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Mathematics, 2022 Nonlinear systems of equations are widely used in science and engineering and, therefore, exploring efficient ways to solve them is paramount. In this paper, a new derivative-free approach for solving a nonlinear system of equations with convex ...
Ibrahim Mohammed Sulaiman +4 more
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A Novel Optical-Based Methodology for Improving Nonlinear Fourier Transform
Mathematics, 2022 The increasing demand for bandwidth and long-haul transmission has led to new methods of signal processing and transmission in optical fiber communication systems. The nonlinear Fourier transform is one of the most recent methods proposed, and is able to
Julian Hoxha +4 more
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Identifying the challenges of code/theory translation: report from the Code/Theory 2017 workshop [PDF]
Research Ideas and Outcomes, 2017 The Code/Theory workshop explored the process of translating between theory and code, from the perspective of those who do this work on a day to day basis.
Caroline Jay +15 more
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Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In the current study, a new numerical algorithm is presented to solve a class of nonlinear fractional integral-differential equations with weakly singular kernels. Cubic hat functions (CHFs) and their properties are introduced for the first time.
H. Ebrahimi, J. Biazar
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NUROA: A numerical roadmap algorithm [PDF]
53rd IEEE Conference on Decision and Control, 2014 Motion planning has been studied for nearly four decades now. Complete, combinatorial motion planning approaches are theoretically well-rooted with completeness guarantees but they are hard to implement. Sampling-based and heuristic methods are easy to implement and quite simple to customize but they lack completeness guarantees.
Reza Iraji, Hamidreza Chitsaz
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Numerical Algorithms on the Affine Grassmannian [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 The affine Grassmannian is a noncompact smooth manifold that parameterizes all affine subspaces of a fixed dimension. It is a natural generalization of Euclidean space, points being zero-dimensional affine subspaces. We will realize the affine Grassmannian as a matrix manifold and extend Riemannian optimization algorithms including steepest descent ...
Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye
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A Matrix Spline Method for a Class of Fourth-Order Ordinary Differential Problems
Mathematics, 2022 Differential matrix models provide an elementary blueprint for the adequate and efficient treatment of many important applications in science and engineering.
Michael M. Tung +4 more
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Applying Machine Learning Methods and Models to Explore the Structure of Traffic Accident Data
Computation, 2022 The problem of reducing the increasing number of road traffic accidents has become more relevant in recent years. According to the United Nations plan this number has to be halved by 2030.
Anton Sysoev +4 more
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