Rigorous Continuation Using Fourier-Chebyshev Basis

• Grant number: 13/14770-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2013
• End date: May 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Marcio Fuzeto Gameiro
• Grantee: Victor Hugo Nolasco
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The goal of this research project is to develop computational methods to rigorously compute solutions of PDEs defined on two- and three-dimensional rectangular domains with mixed type boundary conditions (periodic and non-periodic), using Fourier-Chebyshev basis.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

NOLASCO, Victor Hugo. Rigorous numerics applied to systems of ordinary differential equations. 2022. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.