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math.NA2021
Periodic Fast Multipole Method
Ruqi Pei, Travis Askham, Leslie Greengard +1
A new scheme is presented for imposing periodic boundary conditions on unit cells with arbitrary source distributions. We restrict our attention here to the Poisson, modified Helmh…
math.NA2019
A Fast Integral Equation Method for the Two-Dimensional Navier-Stokes Equations
Ludvig af Klinteberg, Travis Askham, Mary Catherine Kropinski
The integral equation approach to partial differential equations (PDEs) provides significant advantages in the numerical solution of the incompressible Navier-Stokes equations. In…