Substituting with algebraic equations can solve differential-equation systems {relaxation method, mathematics} {relaxation process}. Over an interval, select number of discrete points equal to number of variables in differential equations. At points, find approximate function values. At points, find partial derivative slope {differential coefficient} with respect to each variable: Df(x(i)) / Dx(i), where D denotes partial derivative, x is variable, and i is point/variable index. Write same number of algebraic equations as number of variables and points, each with a differential coefficient. Solve algebraic-equation system by computer.
iteration
Recognition algorithms can use iteration to move simultaneously toward optimum parameter values. Enhance some frequencies. Correlate with template. Equalize frequency histogram for more contrast. Subtract slowly varying information {background, recognition}. Find edge that has fast intensity change, using templates. Find surface orientations by neighboring reflectances. Find distances. Find velocities by comparing succeeding images. Find discontinuities and continuities.
Mathematical Sciences>Calculus>Differential Equation>Methods
3-Calculus-Differential Equation-Methods
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Date Modified: 2022.0224