PFLOTRAN
pflotran.orgThe choice of Fortran over C/C++ was based primarily on the need to enlist and preserve tight collaboration with experienced domain scientists, without which PFLOTRAN's sophisticated process models would not exist.The reactive transport equations can be solved using either a fully implicit Newton-Raphson algorithm or the less robust operator ...
Newton's method - Wikipedia
en.wikipedia.org › wiki › Newton&In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.