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math.NA2025
High order regularization of nearly singular surface integrals
J. Thomas Beale, Svetlana Tlupova
Solutions of partial differential equations can often be written as surface integrals having a kernel related to a singular fundamental solution. Special methods are needed to eval…
math.NA2025
Localized evaluation and fast summation in the extrapolated regularization method for integrals in Stokes flow
Joseph Siebor, Svetlana Tlupova
Boundary integral equation methods are widely used in the solution of many partial differential equations. The kernels that appear in these surface integrals are nearly singular wh…