3 papers
math.NA2022
Parallel Domain Decomposition techniques applied to Multivariate Functional Approximation of discrete data
Vijay S. Mahadevan, David Lenz, Iulian Grindeanu +1
Compactly expressing large-scale datasets through Multivariate Functional Approximations (MFA) can be critically important for analysis and visualization to drive scientific discov…
math.NA2022
Adaptive Regularization of B-Spline Models for Scientific Data
David Lenz, Raine Yeh, Vijay Mahadevan +2
B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to b…
math.NA2020
Fourier-Informed Knot Placement Schemes for B-Spline Approximation
David Lenz, Oana Marin, Vijay Mahadevan +2
Fitting B-splines to discrete data is especially challenging when the given data contain noise, jumps, or corners. Here, we describe how periodic data sets with these features can…