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Fall 2022
Numerical methods are one of the most important aspects in the computer modelling of physical phenomena governed by differential equations. In order to study these phenomena precisely and in a timely manner, we need to use robust and efficient numerical methods for solving the underlying...
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Fall 2012
To understand the water cycle on Mars, details of mass and energy transfer between the surface and the atmosphere are of importance. A complete model, involving transient variations of the water in gaseous and solid phases in the atmosphere and the regolith, is developed and solved numerically...
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Spring 2024
Efficient algorithms for computing linear convolutions based on the fast Fourier transform are developed. A hybrid approach is described that combines the conventional practice of explicit dealiasing (explicitly padding the input data with zeros) and implicit dealiasing (mathematically accounting...