85 citations · 289 across the 25 of their papers we have counts for
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math.NA2011★ 85 cited
Geometric integration on spheres and some interesting applications
Debra Lewis, Nilima Nigam
Geometric integration theory can be employed when numerically solving ODEs or PDEs with constraints. In this paper, we present several one-step algorithms of various orders for ODE…
math.NA2011★ 25 cited
On the well-posedness of the stochastic Allen-Cahn equation in two dimensions
Marc D. Ryser, Nilima Nigam, Paul F. Tupper
White noise-driven nonlinear stochastic partial differential equations (SPDEs) of parabolic type are frequently used to model physical and biological systems in space dimensions d…