Results 11 to 20 of about 119,125 (264)
IEEE Access, 2021 Block pulse functions (BPFs) are piecewise constant and not sufficiently smooth. Therefore, their accuracy is limited when it comes to identifying the parameters of fractional order systems (FOSs).
Bo Zhang +3 more
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2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We present a numerical method for solving linear and nonlinear fractional partial differential equations (FPDEs) with variable coefficients. The main aim of the proposed method is to introduce an orthogonal basis of twodimensional fractional Muntz ...
E. Hengamian Asl +2 more
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Numerical solution of damped forced oscillator problem using Haar wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2015 We present here the numerical solution of damped forced oscillator problem using Haar wavelet and compare the numerical results obtained with some well-known numerical methods such as Runge-Kutta fourth order classical and Taylor Series methods ...
Inderdeep Singh, Sheo Kumar
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DIRAC OPERATOR IN MATRIX GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2005 We review the construction of the Dirac operator and its properties in Riemannian geometry, and show how the asymptotic expansion of the trace of the heat kernel determines the spectral invariants of the Dirac operator and its index. We also point out that the Einstein–Hilbert functional can be obtained as a linear combination of the first two ...
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Matrix Operators and Hyperinvariant Subspaces [PDF]
Journal of the London Mathematical Society, 1987 Let X be a complex Banach space, and let \({\mathcal L}(X)\) be the algebra of all bounded linear operators on X. For each \(S\in {\mathcal L}(X)\), let \(\sigma\) (S) be its spectrum. Let \(X^ n\) denote the direct sum of n copies of X. The authors consider classes of operators in \({\mathcal L}(X^ n)\) with the property that the operators \(T_{jk ...
RADULESCU, FLORIN, Vasilescu, F. H.
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Chebyshev Operational Matrix Method for Lane-Emden Problem
Nonlinear Engineering, 2019 In the this paper, a new modified method is proposed for solving linear and nonlinear Lane-Emden type equations using first kind Chebyshev operational matrix of differentiation.
Sharma Bhuvnesh +3 more
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Fractal and Fractional, 2022 In this paper, the Legendre wavelet neural network with extreme learning machine is proposed for the numerical solution of the time fractional Black–Scholes model.
Xiaoning Zhang, Jianhui Yang, Yuxin Zhao
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Estimation of the regression function by Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We estimate a function f with N independent observations by using Leg-endre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem.
M. Hamzehnejad, M.M. Hosseini, A. Salemi
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MOM: Matrix Operations in MLIR
CoRR, 2022 Modern research in code generators for dense linear algebra computations has shown the ability to produce optimized code with a performance which compares and often exceeds the one of state-of-the-art implementations by domain experts. However, the underlying infrastructure is often developed in isolation making the interconnection of logically ...
Lorenzo Chelini +5 more
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Adams operations on matrix factorizations [PDF]
Algebra & Number Theory, 2017 We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with support developed by Gillet-Soulé in their paper "Intersection Theory Using Adams Operations".
Brown, Michael +3 more
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