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Explores the weak formulation and Galerkin method in Finite Element Method applications, including boundary conditions and linear systems of equations.
Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.
Explores the method of separation of variables for solving spatial problems with second-order ODEs, emphasizing the significance of boundary conditions.
