References

[1] S. S. Sastry, Introductory Methods of Numerical Analysis, 5th ed. New Delhi, India: PHI Learning Pvt. Ltd., 2012.

[2] R. L. Burden and J. D. Faires, Numerical Analysis, 9th ed. Boston, MA, USA: Brooks/Cole, Cengage Learning, 2011.

[3] S. C. Chapra and R. P. Canale, Numerical Methods for Engineers, 7th ed. New York, NY, USA: McGraw-Hill Education, 2015.

[4] C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, 5th ed. Reading, MA, USA: Addison-Wesley, 1994.

[5] M. K. Jain, S. R. K. Iyengar and R. K. Jain, Numerical Methods for Scientific and Engineering Computation, 6th ed. New Delhi, India: New Age International, 2012.

[6] Liu, Yuxin, Ming Huang, Zicheng Xia, Zhong Zheng, and Sida Lin. "Numerical differentiation methods and their applications in solving function extremes." In Journal of Physics: Conference Series, vol. 3119, no. 1, p. 012013. IOP Publishing, 2025.

[7] Rayal, Ashish, Priya Dogra, Sabri Thabet, Imed Kedim, and Miguel Vivas-Cortez. "A Numerical Study of the Caputo Fractional Nonlinear Rössler Attractor Model via Ultraspherical Wavelets Approach." Computer Modeling in Engineering & Sciences (CMES) 143, no. 2 (2025).

[8] Lindstrom, Peter, Jeffrey Hittinger, James Diffenderfer, Alyson Fox, Daniel Osei-Kuffuor, and Jeffrey Banks. "ZFP: A compressed array representation for numerical computations." The International Journal of High Performance Computing Applications 39, no. 1 (2025): 104-122.

[9] Jeong, Hyogu, Chanaka Batuwatta-Gamage, Jinshuai Bai, Charith Rathnayaka, Ying Zhou, and Yuantong Gu. "An advanced physics-informed neural network-based framework for nonlinear and complex topology optimization." Engineering Structures 322 (2025): 119194.