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math.NA2025
Newtonian potentials of Legendre polynomials on rectangles have displacement structure
Sheehan Olver
Particular solutions of the Poisson equation can be constructed via Newtonian potentials, integrals involving the corresponding Green's function which in two-dimensions has a logar…
math.NA2025
A sparse -finite element method for piecewise-smooth differential equations with periodic boundary conditions
Daniel VandenHeuvel, Sheehan Olver
We develop an efficient -finite element method for piecewise-smooth differential equations with periodic boundary conditions, using orthogonal polynomials defined on circular a…