The aim of this research project is to develop methods of evaluating the reliability of mathematical models and their consistency with real phenomena by using computer-assisted analysis based on ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Numerical computation and mathematical software form the backbone of modern scientific inquiry, facilitating the approximation of real numbers, the solution of complex mathematical models, and the ...

※ Affiliations and titles are as of the end of the research activity. In this research area, mathematicians and researchers applying mathematics form research teams to attack social issues which have ...

Taken concurrently with EGR/MAT/PHY 191. An integrated course that covers the material of PHY 103 and MAT 201 with the emphasis on applications to engineering. Math topics include: vector calculus; ...

Aeolian sand ripples are a common feature on sandy deserts and beaches. Standard aeolian ripples have wavelengths of a few centimeters and amplitudes of a few millimeters. Sometimes, much larger ...

Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

This is a preview. Log in through your library . Abstract The degenerate parabolic equation $$\frac{\partial u}{\partial t} = \nabla \cdot (|u|^\nu\nabla u), \nu ...