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math.NA2026
A General Superconvergence Result for Cubature on Tesselated Polytopal Domains in Two and Three Dimensions
Jonah A. Reeger
Cubature rules, which approximate definite integrals as a linear combination of a set of function values, are ubiquitous and necessary for computational methods in the physical sci…
math.NA2026
Adaptivity in Local Kernel Based Methods for Approximating Solutions to the Poisson Equation
Jonah A. Reeger, Anders R. Johnson, Shelby W. Woodrum
Expanding on the recent development of adaptive local kernel methods for approximating the action of linear operators, a local estimate of the error and an adaptive procedure for a…