5 citations · 8 across the 4 of their papers we have counts for
4 papers
Weak formulations of the nonlinear Poisson-Boltzmann equation in biomolecular electrostatics
José A. Iglesias, Svetoslav Nakov
We consider the nonlinear Poisson-Boltzmann equation in the context of electrostatic models for a biological macromolecule, embedded in a bounded domain containing a solution of an…
Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
In this paper we have derived explicitly computable bounds on the error in energy norms for the fully nonlinear Poisson-Boltzmann equation. Together with the computable bounds, we…
Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation
Johannes Kraus, Svetoslav Nakov, Sergey Repin
We consider a class of nonlinear elliptic problems associated with models in biophysics, which are described by the Poisson-Boltzmann equation (PBE). We prove mathematical correctn…
A Calibration Algorithm for Microelectromechanical Systems Accelerometers in Inertial Navigation Sensors
Svetoslav Nakov, Tihomir Ivanov
In the present work we develop an algorithm for calibrating MEMS sensors, which accounts for the nonorthogonality of the accelerometers' axis, as well as for the constant bias and…