Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation

Soham Bhattacharya; Dwaipayan Chakraborty

doi:10.1109/CSCI62032.2023.00182

Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation

Soham Bhattacharya
, Dwaipayan Chakraborty

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

Ordinary differential equations are generally used to simulate dynamical models. As a result, solving these equations is an important task in the high-performance computing (HPC) domain. In this paper, the design of the hardware accelerators for two numerical methods - Euler and modified Euler methods, for solving ODEs has been demonstrated with the help of VHDL language in Xilinx Vivado Environment. The accelerators have been designed using single-precision floating point IP support, generated by Xilinx. Power and timing analysis has been discussed in this study. The accelerators have been deployed on the Zynq ZC702 FPGA evaluation board.

Original language	English (US)
Title of host publication	Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1106-1112
Number of pages	7
ISBN (Electronic)	9798350361513
DOIs	https://doi.org/10.1109/CSCI62032.2023.00182
State	Published - 2023
Externally published	Yes
Event	2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023 - Las Vegas, United States Duration: Dec 13 2023 → Dec 15 2023

Publication series

Name	Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023

Conference

Conference	2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023
Country/Territory	United States
City	Las Vegas
Period	12/13/23 → 12/15/23

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Computer Science Applications
Computational Mathematics

Access to Document

10.1109/CSCI62032.2023.00182

Cite this

Bhattacharya, S., & Chakraborty, D. (2023). Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation. In Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023 (pp. 1106-1112). (Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CSCI62032.2023.00182

Bhattacharya, Soham ; Chakraborty, Dwaipayan. / Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation. Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 1106-1112 (Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023).

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title = "Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation",

abstract = "Ordinary differential equations are generally used to simulate dynamical models. As a result, solving these equations is an important task in the high-performance computing (HPC) domain. In this paper, the design of the hardware accelerators for two numerical methods - Euler and modified Euler methods, for solving ODEs has been demonstrated with the help of VHDL language in Xilinx Vivado Environment. The accelerators have been designed using single-precision floating point IP support, generated by Xilinx. Power and timing analysis has been discussed in this study. The accelerators have been deployed on the Zynq ZC702 FPGA evaluation board.",

author = "Soham Bhattacharya and Dwaipayan Chakraborty",

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year = "2023",

doi = "10.1109/CSCI62032.2023.00182",

language = "English (US)",

series = "Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023",

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Bhattacharya, S & Chakraborty, D 2023, Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation. in Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023. Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023, Institute of Electrical and Electronics Engineers Inc., pp. 1106-1112, 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023, Las Vegas, United States, 12/13/23. https://doi.org/10.1109/CSCI62032.2023.00182

Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation. / Bhattacharya, Soham; Chakraborty, Dwaipayan.
Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 1106-1112 (Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - Ordinary differential equations are generally used to simulate dynamical models. As a result, solving these equations is an important task in the high-performance computing (HPC) domain. In this paper, the design of the hardware accelerators for two numerical methods - Euler and modified Euler methods, for solving ODEs has been demonstrated with the help of VHDL language in Xilinx Vivado Environment. The accelerators have been designed using single-precision floating point IP support, generated by Xilinx. Power and timing analysis has been discussed in this study. The accelerators have been deployed on the Zynq ZC702 FPGA evaluation board.

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Bhattacharya S, Chakraborty D. Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation. In Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 1106-1112. (Proceedings - 2023 International Conference on Computational Science and Computational Intelligence, CSCI 2023). doi: 10.1109/CSCI62032.2023.00182

Implementation of a Hardware Accelerator with FPU-Based Euler and Modified Euler Solver For an Ordinary Differential Equation

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