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A new numerical method is developed for the solution of the diffusion problem in a system of several materials. In such a system, the diffusion coefficients are piecewise continuous and jumps in their values can occur across the complex...
Standard spatial discretization schemes for dynamical system (DS), usually lead to large-scale, high-dimensional, and in general, nonlinear systems of ordinary differential equations.Due to limited computational and storage capabilities, ...
Computer modeling is extensively used to probe structure and evolution of stars and planets. These computations allow astrophysicists to connect theoretical models of star formation and evolution to astronomical observations. Because...
Supercritical Carbon Dioxide is of interest in a wide range of engineering problems, including carbon capture, utilization, and storage as well as advanced cycles for power generation. Non-ideal variations in physical properties of...
In this manuscript, we propose space-time spectral element methods to solve problems arising from fluid dynamics and materials science. Many engineering applications require one to solve complex problems, such as flows containing multi...
Electroconvection has garnered significant attention due to its potential to enhance ion transport on polarized surfaces, thereby reducing the plateau region of the limiting current vs voltage curve. This dissertation explores the...
Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.