Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...
[AP91] Ascher, U. and L. Petzold. "Projected Implicit Runge–Kutta Methods for Differential Algebraic Equations." SIAM J. Numer. Anal. 28 (1991): 1097–1120. [AP98] Ascher, U. ...
ContourPlot[f, {x, x_min, x_max}, {y, y_min, y_max}] generates a contour plot of f as a function of x and y. ContourPlot[f == g, {x, x_min, x_max}, {y, y_min, y_max}] plots ...
The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...
BesselJ
(Built-in Mathematica Symbol) BesselJ[n, z] gives the Bessel function of the first kind J_n (z).
Mathematica provides a compact way of representing boxes in terms of strings. This is particularly convenient when you want to import or export specifications of boxes as ...
All expressions in Mathematica are ultimately built from a small number of distinct types of atomic elements.
HaarWavelet[] represents a Haar wavelet.
CoifletWavelet[] represents a Coiflet wavelet of order 2.CoifletWavelet[n] represents a Coiflet wavelet of order n.
Mathematica transparently works with complex variables throughout, not only numerically, but also symbolically—often relying on original results to handle intricate branch ...