9 citations · 24 across the 8 of their papers we have counts for
8 papers
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…
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…
Observations on Recurrent Loss in the Neural Network Model of a Partial Differential Equation: the Advection-Diffusion Equation
Jonah A. Reeger
A growing body of literature has been leveraging techniques of machine learning (ML) to build novel approaches to approximating the solutions to partial differential equations. Not…
Adaptivity in Local Kernel Based Methods for Approximating the Action of Linear Operators
Jonah A. Reeger
Building on the successes of local kernel methods for approximating the solutions to partial differential equations (PDE) and the evaluation of definite integrals (quadrature/cubat…
Towards stability results for global radial basis function based quadrature formulas
Jan Glaubitz, Jonah A. Reeger
Quadrature formulas (QFs) based on radial basis functions (RBFs) have become an essential tool for multivariate numerical integration of scattered data. Although numerous works hav…
Towards stability of radial basis function based cubature formulas
Jan Glaubitz, Jonah Reeger
Cubature formulas (CFs) based on radial basis functions (RBFs) have become an important tool for multivariate numerical integration of scattered data. Although numerous works have…
Approximate Integrals Over Bounded Volumes with Smooth Boundaries
Jonah A. Reeger
A Radial Basis Function Generated Finite-Differences (RBF-FD) inspired technique for evaluating definite integrals over bounded volumes that have smooth boundaries in three dimensi…
Approximation of Definite Integrals Over the Volume of the Ball
Jonah A. Reeger
A Radial Basis Function Generated Finite-Differences (RBF-FD) inspired technique for evaluating definite integrals over the volume of the ball in three dimensions is described. Suc…