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math.NA2026
A Unified Framework for Efficient Kernel and Polynomial Interpolation
M. Belianovich, G. E. Fasshauer, A. Narayan +1
We present a unified interpolation scheme that combines compactly-supported positive-definite kernels and multivariate polynomials. This unified framework generalizes interpolation…
math.NA2025
Rootfinding and Optimization Techniques for Solving Nonlinear Systems of Equations Arising from Cohesive Zone Models
Alberto Cattaneo, Varun Shankar, M. Keith Ballard
While approaches to model the progression of fracture have received significant attention, methods to find the solution to the associated nonlinear equations have not. In general,…