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UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, ISSN 1223-7027, 2016, Volume 78, Issue 1, pp. 181 - 194
The main purpose of this paper is to define a new extension of Hermite-Hermite matrix polynomials (HHMP) and derive some properties such as recurrence... 
Chebyshev-Hermite | Matrix differential equation | Matrix functions | Hermite-Hermite | Legendre-Hermite matrix polynomials | Chebyshev-Chebyshev | Legendre-Legendre | MATHEMATICS, APPLIED | polynomials | PHYSICS, MULTIDISCIPLINARY | Legendre-Hermite matrix
Journal Article
Turkish Journal of Mathematics, ISSN 1300-0098, 2018, Volume 42, Issue 1, pp. 257 - 271
An introductory study of large deviations upper bounds from a worst-case perspective under parameter uncertainty (referred to as ambiguity) of the underlying... 
Min-max theo- rem | Robust optimization | Large deviations | Legendre-Fenchel transform | Ellipsoids | Ambiguity | MATHEMATICS | Legendre Fenchel transform | ambiguity | min-max theorem | robust optimization | ROBUST SOLUTIONS | ellipsoids
Journal Article
Composite Structures, ISSN 0263-8223, 11/2016, Volume 156, pp. 78 - 92
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 12/2017, Volume 53, pp. 44 - 64
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 6, pp. C726 - C747
We describe a strategy for rigorous arbitrary-precision evaluation of Legendre polynomials on the unit interval and its application in the generation of... 
Gauss-Legendre quadrature | Legendre polynomials | Interval arithmetic | Arbitrary-precision arithmetic | MATHEMATICS, APPLIED | arbitrary-precision arithmetic | interval arithmetic | INTEGRATION | Mathematical Software | Numerical Analysis | Computer Science
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2014, Volume 36, Issue 3, pp. A1008 - A1026
Gauss-Legendre quadrature rules are of considerable theoretical and practical interest because of their role in numerical integration and interpolation. In... 
Gauss-legendre quadrature | Parallel computing | Asymptotic series | Legendre polynomial | MATHEMATICS, APPLIED | asymptotic series | ALGORITHM | Gauss-Legendre quadrature | parallel computing | BARYCENTRIC LAGRANGE INTERPOLATION
Journal Article
Journal of Vibration and Control, ISSN 1077-5463, 11/2018, Volume 24, Issue 21, pp. 5030 - 5043
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 03/2019, Volume 36, Issue 2, pp. 451 - 454
We derive Hessian estimates for convex solutions to quadratic Hessian equation by compactness argument. Nous dérivons des estimations de Hessian pour des... 
Sigma-2 equation | Nonlinear elliptic equations | Legendre–Lewy transformation | A priori estimates | MATHEMATICS, APPLIED | Legendre-Lewy transformation | REGULARITY | Yuan (China)
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2016, Volume 40, Issue 2, pp. 671 - 684
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2014, Volume 36, Issue 1, pp. A148 - A167
A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree N polynomial in O(N(logN)(2)/log logN)... 
Legendre | Transform | Asymptotic formula | Chebyshev | Discrete cosine transform | POLYNOMIALS | discrete cosine transform | NODES | MATHEMATICS, APPLIED | transform | asymptotic formula | FAST ALGORITHMS | GAUSS-LEGENDRE | QUADRATURE | COMPUTATION
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 09/2017, Volume 28, Issue 9, pp. 645 - 662
We provide closed-form expressions for the degree-derivatives and , with and , where and are the Legendre functions of the first and the second kind,... 
Legendre functions | parameter derivatives | dilogarithm
Journal Article
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