From finite differences to finite elements: A short history of numerical analysis of partial differential equations
Thom¨Ĥe, V.
2001 Journal of Computational and Applied Mathematics, 128(1-2): 1-54
Thom¨Ĥe, V., (2001), "From finite differences to finite elements: A short history of numerical analysis of partial differential equations", Journal of Computational and Applied Mathematics, 128(1-2): 1-54.
Abstract:
This is an account of the history of numerical analysis of partial differential equations, starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the development of first finite difference and then finite element methods. The emphasis is on mathematical aspects such as stability and convergence analysis.