252 citations · 961 across the 42 of their papers we have counts for
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On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations
Tianran Chen, Dhagash Mehta
A large amount of research activity in power systems areas has focused on developing computational methods to solve load flow equations where a key question is the maximum number o…
Rotational Dynamics of Organic Cations in CH3NH3PbI3 Perovskite
T. Chen, B. J. Foley, B. Ipek +5
Methylammonium lead iodide (CH3NH3PbI3) based solar cells have shown impressive power conversion efficiencies of above 20%. However, the microscopic mechanism of the high photovolt…
An index-resolved fixed-point homotopy and potential energy landscapes
Tianran Chen, Dhagash Mehta
Stationary points (SPs) of the potential energy landscapes can be classified by their Morse index, i.e., the number of negative eigenvalues of the Hessian evaluated at the SPs. In…
Parallel degree computation for solution space of binomial systems with an application to the master space of gauge theories
Tianran Chen, Dhagash Mehta
The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equa…