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Asymptotic and Perturbation Methods
MATH 553
Asymptotic solution of linear and nonlinear ordinary and partial differential equations. Asymptotic evaluation of integrals. Singular perturbation. Boundary layer theory. Multiple scale analysis. Prerequisite: Mathematics 353 or equivalent.
Curriculum Codes
QS
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Fall Only
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Math+ 2024
Sum-of-norms clustering
The combinatorics of Legendrian surfaces
Computational exploration of geometric flows in G2-geometry
Formalization of mathematics
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Math+ 2023
Analysis of preconditioned stochastic gradient descent with non-convex loss
Moduli spaces of stable weighted hyperplane arrangements
Computing hyperbolic structures from link diagrams
Automated theorem proving and proof verification
Applications of Neumann-type nonlocal boundary condition
DOmath 2022
Spatial and Temporal Epidemic Prediction by Neural Networks
Structure and stability for Brascamp–Lieb inequalities
Mathematical questions arising from the COVID epidemic
Exploring minimal surfaces modulo p
Modeling the dynamics of filter fouling
Smoothness of subspace-valued maps
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Holonomy of combinatorial surfaces
Characterizing emerging features in cell dynamics
Parameter interference in epidemiological models
Calculus of variations and notions of convexity
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