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Journal of Marketing, ISSN 0022-2429, 11/2016, Volume 80, Issue 6, pp. 97 - 121
Journal Article
AIChE Journal, ISSN 0001-1541, 12/2019, Volume 65, Issue 12, p. n/a
In this work, we propose a strategy to develop data driven local surrogate models of ab initio potential energy functions describing the interaction of... 
uncertainty quantification | data driven models | DFT | entropy | heterogeneous catalysis | vibrational frequencies | orthogonal polynomial expansions | ENGINEERING, CHEMICAL | TOTAL-ENERGY CALCULATIONS | ENTROPIES | INITIO MOLECULAR-DYNAMICS
Journal Article
Journal of Number Theory, ISSN 0022-314X, 01/2020, Volume 206, pp. 310 - 319
In this paper, we study a question proposed by Marques and Moreira about transcendental entire functions mapping into itself. In particular, we prove that... 
Polynomial expansions of analytic functions | Liouville numbers | Mahler's question | Transcendental entire functions | MATHEMATICS | Lionville numbers
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2018, Volume 458, Issue 1, pp. 281 - 299
We introduce a notion of universal Laurent expansions for harmonic functions. We show that such series exist, are plentiful, and that several different... 
Universal functions | Harmonic approximation | Laurent expansions of harmonic functions | MATHEMATICS | MATHEMATICS, APPLIED | TAYLOR-SERIES | CONNECTED DOMAINS | POLYNOMIAL-EXPANSIONS | OVERCONVERGENCE
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 02/2018, Volume 75, Issue 4, pp. 1259 - 1271
We study the approximation of determinant for large scale matrices with low computational complexity. This paper develops a generalized stochastic polynomial... 
Stochastic algorithm | Orthogonal polynomial expansions | Log-determinant | Counting spanning trees | MATHEMATICS, APPLIED
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 01/2018, Volume 59, Issue 1, p. 12702
We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients of the series for... 
PERIODIC-SOLUTIONS | 4 KINDS | SERIES | HERMITE | DIMENSIONAL PERTURBATION-THEORY | CALCULATING DENSITIES | ALGORITHM | SUMMATION | LAURENT-PADE APPROXIMANTS | PHYSICS, MATHEMATICAL | CHEBYSHEV POLYNOMIAL-EXPANSIONS | Mathematics - Numerical Analysis
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 3/2018, Volume 12, Issue 3, pp. 787 - 809
Let $${\mathcal {L}}_{\alpha }$$ Lα be a Laguerre operator with $$\alpha \not \in {\mathbb {Z}}_{-}=\{-1,-2,\ldots \}$$ α∉Z-={-1,-2,…} . Constructing the pairs... 
Mathematics, general | Operator Theory | Mathematics | Analysis | MATHEMATICS | MATHEMATICS, APPLIED | POLYNOMIAL-EXPANSIONS
Journal Article
Engineering Structures, ISSN 0141-0296, 07/2019, Volume 190, pp. 422 - 434
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 11/2016, Volume 42, pp. 253 - 268
Let be a finite field with elements, denote the field of all formal Laurent series with coefficients in and be the valuation ideal of . For any formal Laurent... 
Hausdorff dimension | Formal Laurent series | Oppenheim expansions | MATHEMATICS | INVERSE POLYNOMIAL-EXPANSIONS | MATHEMATICS, APPLIED | PARTIAL QUOTIENTS | Valuation
Journal Article
Composite Structures, ISSN 0263-8223, 11/2017, Volume 180, pp. 484 - 496
A novel approach for the micromechanical analysis of periodically heterogeneous composite materials is proposed in this paper. It is based on the use of... 
Micromechanics | Refined beam theories | Carrera Unified Formulation | Mechanics of structure genome | CELLS | UNIFIED FORMULATION | MATERIALS SCIENCE, COMPOSITES | COMPOSITE-MATERIALS | MODEL | PLATES | HOMOGENIZATION | PREDICTION | LAMINATED BEAMS | ELEMENT | LEGENDRE POLYNOMIAL-EXPANSIONS | Usage | Analysis | Genomics | Aerospace engineering
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2018, Volume 38, Issue 4, pp. 1661 - 1708
Abstract We consider adaptive approximations of the parameter-to-solution map for elliptic operator equations depending on a large or infinite number of... 
a posteriori error estimates | parameter-dependent partial differential equations | low-rank approximations | complexity bounds | adaptive methods | sparse polynomial expansions | ADAPTIVE WAVELET METHODS | MATHEMATICS, APPLIED | POLYNOMIAL-APPROXIMATION | PARTIAL-DIFFERENTIAL-EQUATIONS
Journal Article
Composite Structures, ISSN 0263-8223, 09/2018, Volume 200, pp. 380 - 395
Journal Article
Journal of Business & Economic Statistics, ISSN 0735-0015, 07/2008, Volume 26, Issue 3, pp. 369 - 378
Journal Article
Mathematics in Computer Science, ISSN 1661-8270, 9/2019, Volume 13, Issue 3, pp. 441 - 447
In this paper, we present a new subclass $${\mathcal {T}}_{\varSigma }(\mu )$$ T Σ ( μ ) of bi univalent functions belong to $$\varSigma $$ Σ in the open unit... 
30C45 | Analytic functions | 30C50 | Univalent functions | Bi-univalent functions | Mathematics, general | Mathematics | Faber polynomial expansions | Computer Science, general
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2015, Volume 250, pp. 792 - 797
Gauss–Laguerre quadrature plays an important role in implementing the numerical steepest decent method for computing highly oscillatory integrals. However, it... 
Quadrature | Numerical steepest decent method | Oscillatory integral | Magnetic field | Convergence | MATHEMATICS, APPLIED | POLYNOMIAL-EXPANSIONS | COMPUTATION | GAUSS | Singularities | Computation | Integrals | Mathematical analysis | Oscillations | Mathematical models | Quadratures
Journal Article
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, ISSN 0764-583X, 11/2019, Volume 53, Issue 6, pp. 2025 - 2045
Journal Article
Technical Physics, ISSN 1063-7842, 8/2017, Volume 62, Issue 8, pp. 1148 - 1155
We have proposed an algorithm for the sequential construction of nonisotropic matrix elements of the collision integral, which are required to solve the... 
Classical and Continuum Physics | Physics | GAS | POLYNOMIAL-EXPANSIONS | PHYSICS, APPLIED | MAGNETIC-FIELDS | ELECTRON SWARMS | KERNELS | Analysis | Distribution (Probability theory)
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2017, Volume 318, pp. 307 - 354
Classical settings of discrete and continuous orthogonal expansions, like those of Laguerre, Bessel and Jacobi, are associated with second order differential... 
Laguerre expansions | Continuous Fourier–Bessel expansions | Hankel transform | Jacobi expansions