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APPML
2004
45views more  APPML 2004»
13 years 5 months ago
The dissipative linear boltzmann equation
We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kern...
Giampiero Spiga, G. Toscani
APPML
2002
65views more  APPML 2002»
13 years 5 months ago
The linear Boltzmann equation with inelastic scattering
Abstract. The linear extended kinetic equation for monoatomic test particles undergoing elastic and inelastic scattering with a background of heavy multi-level field particles is a...
Maria Groppi, Giampiero Spiga
JCC
2010
74views more  JCC 2010»
13 years 3 months ago
A first-order system least-squares finite element method for the Poisson-Boltzmann equation
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this paper, we focus on numerical approximations to the electrostatic potential...
Stephen D. Bond, Jehanzeb Hameed Chaudhry, Eric C....
MCS
2007
Springer
13 years 5 months ago
Stability of plane waves on deep water with dissipation
The Benjamin-Feir modulational instability effects the evolution of perturbed planewave solutions of the cubic nonlinear Schr¨odinger equation (NLS), the modified NLS, and the ...
Nathan E. Canney, John D. Carter
CPHYSICS
2010
184views more  CPHYSICS 2010»
13 years 5 months ago
Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann equation in numerical simulation of colloi
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...
Feng-Nan Hwang, Shang-Rong Cai, Yun-Long Shao, Jon...