Mapping and evaluation of ordinary differential equations on heterogeneous architectures

• Grant number: 17/14268-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: January 01, 2019
• End date: December 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computer Systems
• Principal Investigator: Eduardo Marques
• Grantee: Carlos Alberto Oliveira de Souza Junior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 19/08153-7 - Mapping and evaluation of parallel solution for stiff Ordinary differential equations on heterogeneous architectures based on FPGAs, BE.EP.DR

Abstract

Several critical human activities depend on the weather forecasting. Some of them are transportation, health, work, safety, and agriculture. Such activities require computational solutions for weather forecasting through numerical models. These numerical models must be accurate and allow the computers to process them quickly. In this project we continue our master's research, where we intend to couple and evaluate new numerical methods for the solution of Ordinary Differential Equations (ODE) to BRAMS - Brazilian developments on the Regional Atmospheric Modelling System to a heterogeneous system composed of Xeon (Intel) processors coupled to a reprogrammable circuit (FPGA) via PCIe bus. According to the studies in the literature, the chemical equation from the mass continuity equation is the most computationally demanding part. This term computes several EDOs and the current solution is sequential and has a low precision. With this research, we intend to improve time execution through parallel numerical methods implemented in hardware and also improve the accuracy of the current model. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

OLIVEIRA DE SOUZA JUNIOR, CARLOS ALBERTO; BISPO, JOAO; CARDOSO, JOAO M. P.; DINIZ, PEDRO C.; MARQUES, EDUARDO. Exploration of FPGA-Based Hardware Designs for QR Decomposition for Solving Stiff ODE Numerical Methods Using the HARP Hybrid Architecture. ELECTRONICS, v. 9, n. 5, MAY 2020. (13/07375-0, 19/08153-7, 17/14268-6)

Academic Publications

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

SOUZA JUNIOR, Carlos Alberto Oliveira de. Applying Rosenbrock method for solving stiff ODEs raised from the chemical reactivity of the atmosphere through heterogeneous architectures based on FPGAs. 2023. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.