📑 Research
📑 Research
My research interests are related to
🔹Applied and computacional linear algebra
🔹Orthogonal polynomials
🔹Zeros of polynomials
🔹Approximation theory
🔹Optimal recovery of linear functionals
Research groups that I follow:
SIAM Activity Group on Orthogonal Polynomials and Special Functions
Polinômios Ortogonais e Similares: Propriedades e Aplicações
Slides from my presentation in CNMAC 2021: Slides Polinômios de Schur - Polinômios de Hurwitz - Polinômios Ortogonais
Publications:
📄 Area, I.; Godoy, E.; Dimitrov, D. K.; Paschoa, V.
Approximate calculation of sums II: Gaussian Type Quadrature. SIAM Journal on Numerical Analysis, v 54, pp 2210--2227, 2016.
📄 Area, I.; Godoy, E.; Dimitrov, D. K. ; Paschoa, V.
Approximate calculation of sums I: Bounds for the zeros of Gram polynomials. SIAM Journal on Numerical Analysis, v 19, pp 9--18, 2014.
📄 Area, I.; Godoy, E.; Dimitrov, D. K. ; Paschoa, V.
Bounds for the zeros of symmetric Kravchuk polynomials. Numerical Algorithms, v 3, pp 611--624, 2015.
📄 Perez, D.; Quintana, Y.; Paschoa, V.
On a Theorem by Bojanov and Naidenov applied to Families of Gegenbauer-Sobolev Polynomials. Communications in Mathematical Analysis, v. 19, p. 9-18, 2014.
📄 Area, I.; Godoy, E.; Dimitrov, D. K. ; Paschoa, V.
Zeros of classical orthogonal polynomials of a discrete variable. Mathematics of Computation, v. 82, p0 1069--1095, 2013.
📘 Paschoa, V. - Tese de Doutorado
Zeros de polinômios ortogonais de variável discreta. - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica. 2012.
📄 Mello, M. V.; Paschoa V.; Perez, T. E.; Piñar, M. A.
Multivariate Sobolev-type orthogonal polynomials. Jaen Journal on Approximation, v. 3, pp 241--259, 2011.