VisualDSolve is a Mathematica package and accompanying e-book showing how Mathematica's visualization tools can be used to enhance the viewing of solutions to differential ...

Linear differential systems with isolated singular points may be solved in the vicinity of the singularity in terms of an asymptotic power series expansion of the solution. ...

An extended version of a paper from IMS 2004, Banff. Abstract: Knapsack problems and variants thereof arise in several different fields from operations research to ...

Simple Quantum Integro-Differential Solver (SQuIDS) is a C++ code designed to solve semi-analytically the evolution of a set of density matrices and scalar functions. This is ...

Teaching methods, used in scientific education, are supposed to stay up to date with current findings and developments in science as such. Therefore one should ask: "How can ...

The interval version of the bisection method is a powerful and relatively recently discovered way of finding several roots of a nonlinear equation. In this note we shall ...

Many modern physics problems can be reduced to carrying out both numerical and symbolical calculations. Over the last 16 years, Mathematica has acquired a large body of ...

The next version of Mathematica allows specifying assumptions in Simplify and related functions. The underlying mechanism used automatically to check inference of inequality ...

The notebook solves a system of PDEs, describing adsorption assuming linear driving force, negligible dispersion and linear adsorption isotherm, using NDSolve. The result, ...

This paper uses a linear partial differential equation (PDE) solver to construct the bifurcating branches of solutions of nonlinear PDE's. This linear PDE solver (developed ...