Results 11 to 20 of about 22,208 (203)
Functional Tucker Approximation Using Chebyshev Interpolation [PDF]
SIAM Journal on Scientific Computing, 2021 This work is concerned with approximating a trivariate function defined on a tensor-product domain via function evaluations. Combining tensorized Chebyshev interpolation with a Tucker decomposition of low multilinear rank yields function approximations that can be computed and stored very efficiently.
Sergey Dolgov +2 more
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What If Each Voxel Were Measured With a Different Diffusion Protocol? [PDF]
Magn Reson MedABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Coelho S +7 more
europepmc +2 more sources
Approximation of Analytic Functions by Chebyshev Functions [PDF]
Abstract and Applied Analysis, 2011 We solve the inhomogeneous Chebyshev′s differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
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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
wiley +1 more source
On Nesterov’s nonsmooth Chebyshev–Rosenbrock functions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gürbüzbalaban, Mert +1 more
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GENERATING FUNCTIONS OF CHEBYSHEV-LIKE POLYNOMIALS [PDF]
International Journal of Number Theory, 2010 In this short note, we give simple proofs of several results and conjectures formulated by Stolarsky and Tran concerning generating functions of some families of Chebyshev-like polynomials.
Bostan, Alin, Salvy, Bruno, Tran, Khang
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Weight functions for Chebyshev quadrature [PDF]
Mathematics of Computation, 1989 In this paper, we investigate if the weight function ( 1 − x 2 ) − 1 / 2 R ( x ...
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Parallel eigensolvers in plane-wave Density Functional Theory [PDF]
, 2014 We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
core +3 more sources
Chebyshev Inequality in Function Spaces
Real Analysis Exchange, 1991 This paper gives new variants, generalizations and abstractions of the well-known Chebyshev inequality for monotonic functions. For example, the following result was proved by reviewer's method: Let \(K\) be a positive continuous function on \(I^ 2\;(I=[0,a],a>0)\) and suppose \(f:I^ 2\to[0,\infty)\) is a continuous positive set function. a) If for all
Heinig, Hans P., Maligranda, Lech
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Stochastic embedding DFT: Theory and application to p-nitroaniline in water. [PDF]
, 2019 Over this past decade, we combined the idea of stochastic resolution of identity with a variety of electronic structure methods. In our stochastic Kohn-Sham density functional theory (DFT) method, the density is an average over multiple stochastic ...
Baer, Roi +4 more
core +4 more sources