## PDEs on Surfaces via the Closest Point Method

For convenience, preprints of my papers are available below. If you find
something interesting, I recommend using the final journal version rather than the
somewhat earlier versions supplied here.

- N. King, S.J. Ruuth:
Solving variational problems and partial differential equations that map between manifolds via the closest point method
, Submitted

- A. Petras, S.J. Ruuth:
PDEs on moving surfaces via the closest point method and a modified grid based particle method
, J. Comput. Phys., to appear.

- T. März, P. Rockstroh, S.J. Ruuth:
An Embedding Technique for the Solution of Reaction-Diffusion Equations on Algebraic Surfaces with Isolated
Singularities, J. Math. Anal. , 436: 911-943, 2016

- B. Crestel, B. Russell, S. Ruuth: Moving mesh methods on parametric surfaces, Proceedings of the International Meshing Roundtable, Austin, pages 148 to 160, October 11-14, 2015.

- C. Cheung, L. Ling, S.J. Ruuth:
A localized meshless method for diffusion on folded
surfaces
, J. Comput. Phys., 297: 194-206, 2015.

- R. Arteaga, S.J. Ruuth: Laplace-Beltrami spectra for shape comparison of surfaces in 3D using the closest point method,
Proc.
ICIP15, International Conference on Image Processing, Quebec, Canada, September 27-30, 2015.

- I. Rozada, S.J. Ruuth, M.J. Ward:
The Stability of Localized Spot Patterns for the Brusselator on the Sphere,
SIAM J. Appl. Dyn. Syst., 13(1): 564-627, 2014.

- C.B. Macdonald, B. Merriman, S.J. Ruuth:
Simple computation of reaction-diffusion processes on point clouds., Proc. Natl. Acad. Sci. USA, 110(23): 9209-9214,
2014.

- C.B. Macdonald, J. Brandman, S.J. Ruuth:
Solving eigenvalue problems on curved surfaces using the closest point method, J. Comp. Phys., 230(22): 7944-7956,
2011.

- C.B. Macdonald, S.J. Ruuth:
The implicit Closest Point Method for
the numerical solution of partial differential equations on
surfaces, SIAM J. Sci. Comput., 31(6): 4330-4350, 2009.

- L. Tian, C.B. Macdonald, S.J. Ruuth: Segmentation on surfaces with the Closest Point Method,
Proc.
ICIP09, International Conference on Image Processing, Cairo, Egypt, November 7-11, 2009.

- C.B. Macdonald, S.J. Ruuth:
Level set equations on surfaces via the Closest Point Method, J. Sci. Comput., 35(2-3): 219-240, 2008.

- S.J. Ruuth, B. Merriman:
A Simple Embedding Method for Solving Partial Differential Equations on Surfaces, J. Comput.
Phys., 227(3): 1943-1961, 2008.

- B. Merriman, S.J. Ruuth:
Diffusion Generated Motion of Curves on Surfaces, J. Comput.
Phys., 225(2): 2267--2282, 2007.

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