85 citations · 289 across the 25 of their papers we have counts for
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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…
Boundary Integral Equations for the Laplace-Beltrami Operator
Simon Gemmrich, Nilima Nigam, Olaf Steinbach
We present a boundary integral method, and an accompanying boundary element discretization, for solving boundary-value problems for the Laplace-Beltrami operator on the surface of…
The cellular dynamics of bone remodeling: a mathematical model
Marc Ryser, Svetlana V. Komarova, Nilima Nigam
The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bon…
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…