
APBS
 Referenced in 85 articles
[sw05766]
 numerical solution of the PoissonBoltzmann equation (PBE), one of the most popular continuum models...

Boltzmann
 Referenced in 40 articles
[sw07008]
 methods for the space nonhomogeneous Boltzmann equation. In this paper we present accurate methods ... numerical solution of the Boltzmann equation of rarefied gas. The methods are based...

MIBPB
 Referenced in 46 articles
[sw08106]
 package for electrostatic analysis. The Poisson–Boltzmann equation (PBE) is an established model...

TABI
 Referenced in 19 articles
[sw18194]
 biomolecules described by the linear PoissonBoltzmann equation. The method employs a wellconditioned boundary ... surface is triangulated and the integral equations are discretized by centroid collocation. The linear system ... compare results for the PoissonBoltzmann and Poisson equations. We show that the treecode approximation...

Bolsig
 Referenced in 15 articles
[sw12508]
 numerical solution of the Boltzmann equation for electrons in weakly ionized gases in uniform electric ... model; using the above assumptions, the Boltzmann equation reduces to a convectiondiffusion continuityequation...

TMSmesh
 Referenced in 16 articles
[sw14719]
 surface points by solving a nonlinear equation directly, polygonizes by connecting surface points through ... boundary element solutions of the Poisson−Boltzmann equation, which directly gives rise to a route...

PBEQSolver
 Referenced in 13 articles
[sw17203]
 read biomolecular structures, solve the PoissonBoltzmann (PB) equations and interactively visualize the electrostatic potential...

AFMPB
 Referenced in 7 articles
[sw08875]
 described an adaptive fast multipole PoissonBoltzmann solver for computing the electrostatics in biomolecules. This ... integral equation of the linearized PoissonBoltzmann equation. Numerical experiments show the efficiency...

SDPBS
 Referenced in 6 articles
[sw17208]
 ionic solvated biomolecules. The PoissonBoltzmann equation (PBE) is one important implicit solvent continuum model...

HOMISBOLTZ
 Referenced in 3 articles
[sw06049]
 Nonlinear Boltzmann equation for the homogeneous isotropic case: minimal deterministic Matlab program The problem consists ... integrating the homogeneous Boltzmann equation for a generic collisional kernel in case of isotropic symmetry...

DENOVO
 Referenced in 7 articles
[sw18081]
 obtain accurate solutions to the Boltzmann transport equation. Denovo uses the KochBakerAlcouffe parallel...

SMPBS
 Referenced in 4 articles
[sw23654]
 library of size modified PoissonBoltzmann equation (SMPBE) solvers that incorporates finite element, finite difference ... SDPBS web server, uses the classic PoissonBoltzmann model...

dugksFoam
 Referenced in 3 articles
[sw22283]
 open source OpenFOAM solver for the Boltzmann model equation. A deterministic Boltzmann model equation solver...

FeatLBE
 Referenced in 2 articles
[sw31316]
 simulation techniques for the stationary lattice Boltzmann equation on general meshes. In this paper ... numerical simulation of the Lattice Boltzmann equation (LBE). In Hübner and Turek (Computing...

almaBTE
 Referenced in 3 articles
[sw20281]
 solver of the spacetime dependent Boltzmann transport equation for phonons in structured materials. almaBTE ... solves the space and timedependent Boltzmann transport equation for phonons, using only abinitio...

ShengBTE
 Referenced in 3 articles
[sw17641]
 ShengBTE: a solver of the Boltzmann transport equation for phonons. ShengBTE is a software package ... full iterative solution to the Boltzmann transport equation. Its main inputs are sets of second...

PyGBe
 Referenced in 3 articles
[sw17642]
 Lenhoff (1990) for solving the PoissonBoltzmann equation of the implicitsolvent model in integral...

LSVISM
 Referenced in 3 articles
[sw16158]
 interface method for the dielectric Poisson–Boltzmann equation. Such numerical methods and algorithms constitute...

Apbsmem
 Referenced in 4 articles
[sw22298]
 numerically solve the PoissonBoltzmann (PB) equation, and there are several easytouse software ... packages available that solve the PB equation for soluble proteins. Here we present a freely ... Boltzmann Solver (APBS) is used as a backend for solving the PB equation...

AQUASOL
 Referenced in 3 articles
[sw17113]
 efficient solver for the dipolar Poisson–Boltzmann–Langevin equation. The Poisson–Boltzmann (PB) formalism ... space. In contrast, the dipolar Poisson–Boltzmann–Langevin (DPBL) formalism represents the solvent ... models lead to significant differences in the equations they generate. The PB equation...