Results 11 to 20 of about 3,909 (206)
Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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On the Chebyshev penalty method for parabolic and hyperbolic equations [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 1996 The authors study several versions of the penalty method for the pseudospectral Chebyshev discretization of hyperbolic and parabolic equations. First, a Chebyshev penalty method for linear hyperbolic equations with nonzero penalty term also in the interior points is presented.
Baolin Yang, Lucia Dettori
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Coupled harmonic equations, SOR, and Chebyshev acceleration [PDF]
Mathematics of Computation, 1972 A coupled pair of harmonic equations is solved by the application of Chebyshev acceleration to the Jacobi, Gauss-Seidel, and related iterative methods, where the Jacobi iteration matrix has purely imaginary (or zero) eigenvalues. Comparison is made with a block SOR method used to solve the same problem.
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COMPARISON OF CHEBYSHEV AND ANDERSON ACCELERATIONS FOR THE NEUTRON TRANSPORT EQUATION [PDF]
EPJ Web of Conferences, 2021 This work focuses on the k-eigenvalue problem of the neutron transport equation. The variables of interest are the largest eigenvalue (keff) and the corresponding eigenmode is called the fundamental mode. Mathematically, this problem is usually solved using the power iteration method.
Calloo, Ansar +2 more
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Legendre and Chebyshev spectral approximations of Burgers' equation
Numerische Mathematik, 1981 We give error estimates for both Legendre and Chebyshev spectral approximations of the steady state Burgers' problem $$ - u_{xx} + \lambda (uu_x - f) = 0 in I = ( - 1,1); u( - 1) = u(1) = 0. $$ To do that we prove some abstract approximation properties of orthogonal projection operators in some weighted Sobolev spacesH ?
Y. Maday, QUARTERONI, ALFIO MARIA
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Numerical solution of integral equations in Chebyshev series
Numerische Mathematik, 1973 In this paper we discuss the Chebyshev series method with Newton iterations for the numerical solution of nonlinear integral equations. An existence theorem for nonlinear integral equations is given using a functional analytic approach. A method to compute and error bound to an approximate solution is discussed on the basis of the theorem.
Shimasaki, Masaaki, Kiyono, Takeshi
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Advanced Theory and Simulations, EarlyView.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
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Using Chebyshev Polynomials to Approximate Partial Differential Equations [PDF]
Computational Economics, 2008 This paper suggests a simple method based on a Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. It consists in determining the value function by using a set of nodes and basis functions. We provide two examples: pricing a European option and determining the best policy for shutting down a machine.
Guglielmo Maria Caporale, Mario Cerrato
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Advanced Science, EarlyView.SpaBatch is an end‐to‐end multi‐slice spatial transcriptomics data integration framework. It simultaneously performs embedding learning, spatial feature denoising and reconstruction, batch effect correction, and spatial domain optimization, effectively correcting batch effects and achieving accurate 3D spatial domain identification.
Jinyun Niu +5 more
wiley +1 more source
Advanced Energy and Sustainability Research, EarlyView.A novel polylactic acid/wax electret composite is developed, combining biodegradability with long‐term charge stability. The study investigates charge storage behavior, structural morphology, and thermal performance. Results reveal a notable charge retention recovery after thermal stress and exhibit stable surface potential over 2 kV. This eco‐friendly
Gabriele Perna +6 more
wiley +1 more source