Nonlinear PDEs (Mathematica Tutorial)

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

Messages (Mathematica Tutorial)

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...

Named Groups (Mathematica Tutorial)

Mathematica provides permutation representations for many important finite groups. Some of these groups are members of infinite families, parametrized by one or more ...

VectorPlot (Built-in Mathematica Symbol)

VectorPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a vector plot of the vector field {v_x, v_y} as a function of x and y. VectorPlot[{{v_x, v_y}, {w_x, ...

Solve (Built-in Mathematica Symbol)

Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

WaveletListPlot (Built-in Mathematica Symbol)

WaveletListPlot[dwd] plots wavelet transform coefficients in the DiscreteWaveletData dwd.WaveletListPlot[dwd, wind] plots wavelet transform coefficients corresponding to the ...

Reshaping Graphics Objects (Mathematica Tutorial)

In this tutorial, the following topics are discussed: The following sequence explains how to use the Reshape tool ( GraphicsBox[RasterBox[CompressedData[ ], {Offset[{0.5, ...

CandlestickChart (Built-in Mathematica Symbol)

CandlestickChart[{{date_1, {open_1, high_1, low_1, close_1}}, ...}] makes a chart with candles representing open, high, low, and close prices for each date. ...

Graph Utilities Package (Graph Utilities Package Tutorial)

The Graph Utilities Package contains a number of functions useful for graph theory applications. Functions in the Graph Utilities Package. This loads the package.

NDSolve Method Plugin Framework (Mathematica Tutorial)

The control mechanisms set up for NDSolve enable you to define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve. ...