Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...

Excel can solve equations through several of its mathematical functions, but the single Excel tool that works on the largest variety of equations is the program's Solver Add-in. This tool reads an ...

Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have predictive power when it comes to complex physical ...

Combination of real and imaginary parts (CRI) works well for solving complex symmetric linear systems. This paper develops a generalization of CRI method to determine the solution of Sylvester matrix ...

An efficient computational algorithm is developed for solving linear matrix equations whose characteristic interaction matrix H' differs by a matrix of rank r from an interaction matrix H of a system ...

The method includes: establishing the control equations of the flow field around the vehicle based on aerodynamic theory, and converting them into a system ... matrix of the linear equations with the ...

You can use a SOLVE statement to solve the nonlinear equation system for some variables when the values of other variables are given. Consider the demand and supply model shown in the preceding ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...