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The comprehensive study of differential equations, started with their modeling and classification, progressing through elementary and advanced analytical methods (including Hilbert and Sobolev Spaces), and concluding with their application in evolution equations and numerical solutions, while highlighting various specific equations and concepts throughout.
This radar chart illustrates area of study related to differential equations, showing a strong focus on Specific Equations and Concepts and Sobolev Spaces and Elliptic Equations. There is also a notable presence of Evolution Equations and Numerical Methods. Other areas like Foundations of Differential Equations, Elementary Solution Methods, and Functional Analysis Tools appear to have less emphasis in comparison.
