WaveletThreshold[dwd] thresholds the detail wavelet coefficients in the DiscreteWaveletData object dwd.WaveletThreshold[dwd, tspec] thresholds the coefficients using the ...

This loads packages containing some test problems and utility functions. One of the first and simplest methods for solving initial value problems was proposed by Euler: ...

CUDALink is a built-in Mathematica package that provides a simple and powerful interface for using CUDA within Mathematica's streamlined work flow. CUDALink provides you with ...

Mathematica 's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

BernoulliB[n] gives the Bernoulli number B_n. BernoulliB[n, x] gives the Bernoulli polynomial B_n (x).

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

IntegerPart[x] gives the integer part of x.

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...