A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body. - Mary Catherine A. Kropinski; Michael Jeffrey Ward; Joseph B. Keller (SIAM J. Appl. Math., 1995)

Monotonicity Considerations for Saturated-Unsaturated Subsurface Flow. - Peter A. Forsyth; Mary Catherine A. Kropinski (SIAM J. Sci. Comput., 1997)

An Integral Equation Approach to the Incompressible Navier-Stokes Equations in Two Dimensions. - Leslie Greengard; Mary Catherine A. Kropinski (SIAM J. Sci. Comput., 1998)

Fast integral equation methods for Rothe's method applied to the isotropic heat equation. - Mary Catherine A. Kropinski; Bryan D. Quaife (Comput. Math. Appl., 2011)

Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional stokes flow. - Mary Catherine A. Kropinski; Enkeleida Lushi (J. Comput. Phys., 2011)

Fast integral equation methods for the modified Helmholtz equation. - Mary Catherine A. Kropinski; Bryan D. Quaife (J. Comput. Phys., 2011)

Second kind integral equation formulation for the modified biharmonic equation and its applications. - Shidong Jiang; Mary Catherine A. Kropinski; Bryan D. Quaife (J. Comput. Phys., 2013)

Fast integral equation methods for the Laplace-Beltrami equation on the sphere. - Mary Catherine A. Kropinski; Nilima Nigam (Adv. Comput. Math., 2014)

Integral equation methods for the Yukawa-Beltrami equation on the sphere. - Mary Catherine A. Kropinski; Nilima Nigam; Bryan D. Quaife (Adv. Comput. Math., 2016)

An integral equation-based numerical method for the forced heat equation on complex domains. - Fredrik Fryklund; Mary Catherine A. Kropinski; Anna-Karin Tornberg (Adv. Comput. Math., 2020)

A fast integral equation method for the two-dimensional Navier-Stokes equations. - Ludvig af Klinteberg; Travis Askham; Mary Catherine A. Kropinski (J. Comput. Phys., 2020)