The O(h^4) finite-difference scheme for the second derivative u^n(x) leads to a coherent pentadiagonal matrix which is factorized into two tridiagonal matrices. This ...

Linear programming has recently been integrated into the high school mathematics curriculum. Graphical problem solving offers methods for teaching systems of constraints and ...

Strategies for reducing the effect of cumulative rounding errors in geometric numerical integration are outlined. The focus is, in particular, on the solution of separable ...

The notebook computes the velocity and temperature profiles for free convection past an isothermal vertical plate. Results are obtained after solving two coupled nonlinear ...

In the present paper, the residue curve map (RMC) for the ternary system chloroform-methanol-acetone is computed with the help of Mathematica using two methods. The first ...

Mathematica supplement designed to work hand in hand with text. Reader learns how to solve text examples and master other computational skills.

LagrangianEquations.nb is a sample notebook illustrating how to use Mathematica to solve advanced theoretical mechanics problems using Lagrange's equations.

Optimization problems arise very naturally in many different disciplines. A structural engineer designing a multistory building must choose materials and proportions for ...

In the notebook two_tanks.nb, we assume the flowrate is proportional to volume of liquid in the tank and that the feed flow rate is constant equal to 1 except during a time ...

Traditional monitoring systems in the oil-gas industry are built from the ground up in Fortran, C#, and other compiled languages. The development time for advanced numerical ...