Results 71 to 80 of about 528,533 (276)
Evaluating a double integral using Euler's method and Richardson extrapolation
Lietuvos Matematikos RinkinysWe transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13).
Justin Steven Calder Prentice
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VELOCITY AS A FUNCTION OF STATE IN GR MECHANICS
Вестник. Серия физическая, 2009 In present work it is shown that representation of velocity as a function of state in GR mechanicstogether with improved Fock’s first approximation metrics and Euler’s hydrodynamic formula allows solve arelativistic rotational equation of motion ...
M.M. Abdildin +3 more
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Biotechnology and Bioengineering, EarlyView.ABSTRACT Antibody productivity and glycosylation quality in CHO cell cultures emerge from a dynamically evolving metabolic environment, yet existing models often work in isolation or at a single scale. Here, we present a multiscale mechanistic framework linking molecular, cellular, and macroscopic scales to predict how inputs shape bioprocess ...
Yuming Zeng +3 more
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract Engineering graduate students confuse the scientific method and problem solving when presenting their pre‐doctoral exams and theses: Science discourse adopts question and hypotheses to assert and establish a study's rationale, while it is problem and objectives in engineering design.
Gregory S. Patience +4 more
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Preventing wall deposition in duct flows: The role of particle number density and flow direction
The Canadian Journal of Chemical Engineering, EarlyView.Abstract Particle deposition in wall‐bounded turbulent flows is a challenge in many industries, including pneumatic conveying, filtration, and related applications. When particles accumulate near boundaries, they reduce transport efficiency, alter near‐wall flow structures, and cause blockage.
Gizem Ozler, Holger Grosshans
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THE ELASTIC BUCKLING BEHAVIOR OF (5056-H18)ALALLOY COLUMNS UNDER VARIABLE LOAD
Iraqi Journal for Mechanical and Materials Engineering, 2019 The research deals the evaluation of buckling behavior for 5056-H18 Al alloy columns under variable loads and studies the effect of initial deflection on the critical buckling load.
Ali Y Khenyab +2 more
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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Improved Conservative Scheme for Lenard‐Bernstein Collisions in Gyrokinetic Turbulence Simulations
Contributions to Plasma Physics, EarlyView.ABSTRACT Turbulence in the edge and scrape‐off layer regions plays a critical role for the performance of future magnetic confinement fusion power plants. Gyrokinetic simulations allow studying this regime with high fidelity. A key aspect in these regions is the high concentration of impurities, which can radiate energy, leading to significant losses ...
Andrew Ivan Sulimro +3 more
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On the Composition of Rotations in $\mathbb{R}^3$
Communications in Advanced Mathematical SciencesEuler stated that the composition of two successive rotations is also a rotation, but did not solve the problem of finding the resultant (axis and angle of rotation) of the composition. It is Rodrigues who solved it.
François Dubeau
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