Gideon Simpson, Ph.D.

Affiliations: 
2008 Columbia University, New York, NY 
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"Gideon Simpson"

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Michael Weinstein grad student 2008 Columbia
 (The mathematics of magma migration.)
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Publications

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Copperman J, Aristoff D, Makarov DE, et al. (2019) Transient probability currents provide upper and lower bounds on non-equilibrium steady-state currents in the Smoluchowski picture. The Journal of Chemical Physics. 151: 174108
Ambrose DM, Simpson G, Wright JD, et al. (2018) Existence theory for magma equations in dimension two and higher Nonlinearity. 31: 4724-4745
Marzuola JL, Raynor S, Simpson G. (2017) Nonlinear Bound States in a Schrodinger{Poisson System with External Potential Siam Journal On Applied Dynamical Systems. 16: 226-251
Cher Y, Simpson G, Sulem C. (2017) Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation Siam Journal On Applied Dynamical Systems. 16: 514-545
Farmer BA, Luskin MB, Plecháč P, et al. (2017) Spin-diffusions and diffusive molecular dynamics Modelling and Simulation in Materials Science and Engineering. 25: 84003
Jones AD, Simpson G, Wilson W. (2017) Conservative integrators for a toy model of weak turbulence Journal of Computational and Applied Mathematics. 325: 113-124
Simpson G, Luskin M, Srolovitz DJ. (2016) A Theoretical Examination of Diffusive Molecular Dynamics Siam Journal On Applied Mathematics. 76: 2175-2195
Pinski FJ, Simpson G, Stuart AM, et al. (2015) Algorithms for Kullback-Leibler approximation of probability measures in infinite dimensions Siam Journal On Scientific Computing. 37: A2733-A2757
Pinski FJ, Simpson G, Stuart AM, et al. (2015) Kullback-Leibler approximation for probability measures on infinite dimensional spaces Siam Journal On Mathematical Analysis. 47: 4091-4122
Ambrose DM, Simpson G. (2015) Local existence theory for derivative nonlinear schrödinger equations with noninteger power nonlinearities Siam Journal On Mathematical Analysis. 47: 2241-2264
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