Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

General Mathematica patterns provide a powerful way to do string manipulation. But particularly if you are familiar with specialized string manipulation languages, you may ...

When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...

Both CUDALink and OpenCLLink have a state-of-the-art memory manager that reduces the amount of memory allocation and transfer to the GPU. If used properly, the memory system ...

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

TimeValue[s, i, t] calculates the time value of a security s at time t for an interest specified by i.

ContinuousWaveletData[{{oct_1, voc_1} -> coef_1, ...}, wave] yields a continuous wavelet data object with wavelet coefficients coef_i corresponding to octave and voice ...

DynamicModule[{x, y, ...}, expr] represents an object which maintains the same local instance of the symbols x, y, ... in the course of all evaluations of Dynamic objects in ...