Modeling of geochemical processes
                                    Numeric Algorithm Refreshment

                                             J. Faimon

                                 Modeling of geochemical processes
                                        Numeric mathematics

Numerical Algorithms

Taylor Series 

                                 Modeling of geochemical processes
                                        Numeric mathematics

                                 Modeling of geochemical processes
                                        Numeric mathematics

A vector form:                                     gradient

                                 Modeling of geochemical processes
                                        Numeric mathematics

Taylor Series of the System of the Functions of more Variables

Two functions of two variables (only the first order terms; the first derivations)

                                 Modeling of geochemical processes
                                        Numeric mathematics

Newton-Raphson methods

                                 Modeling of geochemical processes
                                        Numeric mathematics

For  f (x^k+1) = 0, then it is: