On the Construction of Finite Difference Schemes Approximating Generalized Solutions
E. Šili, Boško Jovanović, Lav Ivanović (1985)
Publications de l'Institut Mathématique
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E. Šili, Boško Jovanović, Lav Ivanović (1985)
Publications de l'Institut Mathématique
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C. Zenger, H. Gietl (1978)
Numerische Mathematik
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
A. Louis (1979)
Numerische Mathematik
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D. Braess (1981)
Numerische Mathematik
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Ewa Damek (1989)
Colloquium Mathematicae
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...