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math.NA2026
Structure Preserving High-Order FDTD Methods for the Nonlinear Kerr-Debye Model with Lorentz Dispersion
Emmanuel E. Oguadimma, Vrushali A. Bokil, Nathan L. Gibson
We develop and analyze several families of fully discrete, high-order methods in the finite difference time domain (FDTD) framework for a nonlinear dispersive electromagnetic model…
math.NA2026
Operator-Split Bayesian Learning for Elliptic PDEs with Unequal Interior and Boundary Data
Emmanuel E. Oguadimma
We propose an operator-split Bayesian learning framework for second-order uniformly elliptic Dirichlet problems with unequal numbers of interior and boundary observations. The data…