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math.NA2024
A Generic MATLAB Toolbox to Approximate PDEs Using Computational Geometry
Kiefer Green, Harbir Antil
This article introduces a general purpose framework and software to approximate partial differential equations (PDEs). The sparsity patterns of finite element discretized operators…
math.NA2019
On theoretical upper limits for valid timesteps of implicit ODE methods
K. R. Green, G. W. Patrick, R. J. Spiteri
Implicit methods for the numerical solution of initial-value problems may admit multiple solutions at any given time step. Accordingly, their nonlinear solvers may converge to any…