Melis, Ward; Rey, Thomas; Samaey, Giovanni Projective and telescopic projective integration for the nonlinear BGK and Boltzmann equations. (English) Zbl 1434.82034 SMAI J. Comput. Math. 5, 53-88 (2019). Reviewer: Guy Jumarie (Montréal) MSC: 82B40 76P05 65M70 65M08 65M12 35Q20 76N15 65M06 82M22 82M12 82M20 PDF BibTeX XML Cite \textit{W. Melis} et al., SMAI J. Comput. Math. 5, 53--88 (2019; Zbl 1434.82034) Full Text: DOI arXiv OpenURL
Cartailler, J.; Schuss, Z.; Holcman, D. Analysis of the Poisson-Nernst-Planck equation in a ball for modeling the voltage-current relation in neurobiological microdomains. (English) Zbl 1376.92012 Physica D 339, 39-48 (2017). MSC: 92C20 PDF BibTeX XML Cite \textit{J. Cartailler} et al., Physica D 339, 39--48 (2017; Zbl 1376.92012) Full Text: DOI OpenURL
Koskela, Pekka; Shanmugalingam, Nageswari; Zhou, Yuan Geometry and analysis of Dirichlet forms. II. (English) Zbl 1297.53033 J. Funct. Anal. 267, No. 7, 2437-2477 (2014). MSC: 53C21 35K05 PDF BibTeX XML Cite \textit{P. Koskela} et al., J. Funct. Anal. 267, No. 7, 2437--2477 (2014; Zbl 1297.53033) Full Text: DOI OpenURL
Del Moral, Pierre Mean field simulation for Monte Carlo integration. (English) Zbl 1282.65011 Monographs on Statistics and Applied Probability 126. Boca Raton, FL: CRC Press (ISBN 978-1-4665-0405-9/hbk; 978-1-138-19873-9/pbk; 978-1-4665-0417-2/ebook). xlvii, 578 p. (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C40 65C35 65C30 65C20 68U20 65-02 82C31 82C40 82C80 81Q30 94A12 60G35 81V70 PDF BibTeX XML Cite \textit{P. Del Moral}, Mean field simulation for Monte Carlo integration. Boca Raton, FL: CRC Press (2013; Zbl 1282.65011) Full Text: DOI OpenURL
Shim, Jae Wan; Gatignol, Renée How to obtain higher-order multivariate Hermite expansion of Maxwell-Boltzmann distribution by using Taylor expansion? (English) Zbl 1273.41003 Z. Angew. Math. Phys. 64, No. 3, 473-482 (2013). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A58 41A63 82B40 PDF BibTeX XML Cite \textit{J. W. Shim} and \textit{R. Gatignol}, Z. Angew. Math. Phys. 64, No. 3, 473--482 (2013; Zbl 1273.41003) Full Text: DOI OpenURL
Jenny, Patrick; Torrilhon, Manuel; Heinz, Stefan A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. (English) Zbl 1285.76031 J. Comput. Phys. 229, No. 4, 1077-1098 (2010). MSC: 76M28 65C05 35Q84 PDF BibTeX XML Cite \textit{P. Jenny} et al., J. Comput. Phys. 229, No. 4, 1077--1098 (2010; Zbl 1285.76031) Full Text: DOI OpenURL
Bedeaux, Dick The second law and statistical mechanics. (English) Zbl 1219.80003 Beretta, Gian Paolo (ed.) et al., Meeting the entropy challenge. An international thermodynamics symposium in honor and memory of Professor Joseph H. Keenan, Cambridge, MA, USA, October 4–5, 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0557-8/hbk). AIP Conference Proceedings 1033, 55-65 (2008). Reviewer: K. N. Shukla (Gurgaon) MSC: 80A05 80-03 01A60 01A55 PDF BibTeX XML Cite \textit{D. Bedeaux}, AIP Conf. Proc. 1033, 55--65 (2008; Zbl 1219.80003) OpenURL
Kaim, Sebastian J. Asymptotic stability of the extended Tjon-Wu model. (English) Zbl 1189.45013 Zesz. Nauk. Uniw. Jagiell. 1298, Univ. Iagell. Acta Math. 45, 155-173 (2007). Reviewer: Jozef Myjak (L’Aquila) MSC: 45M10 45K05 45M05 82C40 82C70 45G05 PDF BibTeX XML Cite \textit{S. J. Kaim}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1298(45), 155--173 (2007; Zbl 1189.45013) Full Text: EuDML EMIS OpenURL
Golse, François From the Boltzmann equation to the incompressible Navier-Stokes equations. (English) Zbl 1147.35070 Bonilla, L. L. (ed.) et al., Recent advances in nonlinear partial differential equations and applications. Conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays, Toledo, Spain, June 7–10, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4211-9/hbk). Proceedings of Symposia in Applied Mathematics 65, 171-192 (2007). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76P05 35Q35 35-02 76D05 PDF BibTeX XML Cite \textit{F. Golse}, Proc. Symp. Appl. Math. 65, 171--192 (2007; Zbl 1147.35070) OpenURL
Eng, David; Erdős, László The linear Boltzmann equation as the low density limit of a random Schrödinger equation. (English) Zbl 1085.82012 Rev. Math. Phys. 17, No. 6, 669-743 (2005). Reviewer: Ricardo Weder (México City) MSC: 82C44 81Q15 35R60 35Q40 82C70 PDF BibTeX XML Cite \textit{D. Eng} and \textit{L. Erdős}, Rev. Math. Phys. 17, No. 6, 669--743 (2005; Zbl 1085.82012) Full Text: DOI arXiv OpenURL
Brassart, Matthieu The Boltzmann equation as limit of a Schrödinger equation with random potential. (English) Zbl 1072.82027 Asymptotic Anal. 37, No. 3-4, 189-214 (2004). MSC: 82C40 35Q40 PDF BibTeX XML Cite \textit{M. Brassart}, Asymptotic Anal. 37, No. 3--4, 189--214 (2004; Zbl 1072.82027) OpenURL
Buet, C.; Cordier, S. Numerical method for the Compton scattering operator. (English) Zbl 1054.81036 Bellomo, Nicola (ed.) et al., Lectures notes on the discretization of the Boltzmann equation. River Edge, NJ: World Scientific (ISBN 981-238-225-9/hbk). Ser. Adv. Math. Appl. Sci. 63, 223-258 (2003). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81V10 81V80 PDF BibTeX XML Cite \textit{C. Buet} and \textit{S. Cordier}, Ser. Adv. Math. Appl. Sci. 63, 223--258 (2003; Zbl 1054.81036) OpenURL
Ginzburg, I. Introduction of upwind and free boundary into lattice Boltzman method. (English) Zbl 1016.76059 Sonar, Thomas (ed.) et al., Discrete modelling and discrete algorithms in continuum mechanics. Proceedings of the GAMM workshop, TU Braunschweig, Germany, November 24-25, 2000. Berlin: Logos Verlag. 97-109 (2001). MSC: 76M28 76P05 PDF BibTeX XML Cite \textit{I. Ginzburg}, in: Discrete modelling and discrete algorithms in continuum mechanics. Proceedings of the GAMM workshop, TU Braunschweig, Germany, November 24--25, 2000. Berlin: Logos Verlag. 97--109 (2001; Zbl 1016.76059) OpenURL
Sapogin, V. G. On a fireball model consisting of simlar charges. (Russian) Zbl 1091.76588 Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 1999, No. 3, 67-70 (1999). Reviewer: Andrei Zemskov (Moskva) MSC: 76X05 78A30 PDF BibTeX XML Cite \textit{V. G. Sapogin}, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 1999, No. 3, 67--70 (1999; Zbl 1091.76588) OpenURL
Koller, Winfried \(P_1\) approximation of the nonlinear semi-continuous Boltzmann equation. (English) Zbl 0976.82040 Riv. Mat. Univ. Parma (6) 2, 159-181 (1999). Reviewer: Igor Andrianov (Köln) MSC: 82C40 65C20 35A35 PDF BibTeX XML Cite \textit{W. Koller}, Riv. Mat. Univ. Parma (6) 2, 159--181 (1999; Zbl 0976.82040) OpenURL
Kumaran, V. Kinetic theory for a vibro-fluidized bed. (English) Zbl 0919.76090 J. Fluid Mech. 364, 163-185 (1998). Reviewer: R.Stavre (Bucureşti) MSC: 76T99 76P05 PDF BibTeX XML Cite \textit{V. Kumaran}, J. Fluid Mech. 364, 163--185 (1998; Zbl 0919.76090) Full Text: DOI OpenURL
Villani, Cédric On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. (English) Zbl 0912.45011 Arch. Ration. Mech. Anal. 143, No. 3, 273-307 (1998). Reviewer: V.Yurko (Saratov) MSC: 45K05 45M05 82C40 76P05 PDF BibTeX XML Cite \textit{C. Villani}, Arch. Ration. Mech. Anal. 143, No. 3, 273--307 (1998; Zbl 0912.45011) Full Text: DOI OpenURL
Totaro, Silvia Interaction between algae and photons: Derivation of a simplified model. (English) Zbl 0911.45006 Transp. Theory Stat. Phys. 27, No. 3-4, 223-240 (1998). Reviewer: Nelli Dimitrova (Sofia) MSC: 45K05 92D25 45G10 45M10 45M20 PDF BibTeX XML Cite \textit{S. Totaro}, Transp. Theory Stat. Phys. 27, No. 3--4, 223--240 (1998; Zbl 0911.45006) Full Text: DOI OpenURL
Gatti, Emilio; Gotusso, Laura; Sacco, Riccardo An energy interpretation of a stationary functional for the variational solution of the nonlinear Poisson equation in semiconductors at thermal equilibrium. (English) Zbl 0921.35170 Rend., Sci. Mat. Appl., A 129(1995), No. 1-2, 71-82 (1996). Reviewer: Vadim Komkov (Florida) MSC: 35Q60 35J05 35D05 78A35 78A55 PDF BibTeX XML Cite \textit{E. Gatti} et al., Rend., Sci. Mat. Appl., A 129, No. 1--2, 71--82 (1996; Zbl 0921.35170) OpenURL
Chan, Kwong-Yu; Henderson, Douglas; Stenger, Frank Nonlinear Poisson-Boltzmann equation in a model of a scanning tunneling microscope. (English) Zbl 0812.65125 Numer. Methods Partial Differ. Equations 10, No. 6, 689-702 (1994). Reviewer: R.Chedid (Beirut) MSC: 65Z05 65N06 35Q60 78A55 PDF BibTeX XML Cite \textit{K.-Y. Chan} et al., Numer. Methods Partial Differ. Equations 10, No. 6, 689--702 (1994; Zbl 0812.65125) Full Text: DOI OpenURL
Voronina, V. A. A stochastic method of solving an initial-boundary value problem for the Boltzmann equation. (English. Russian original) Zbl 0777.65074 Comput. Math. Math. Phys. 32, No. 4, 489-498 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 4, 576-586 (1992). Reviewer: S.Mika (Plzen) MSC: 65Z05 65C99 60H15 35R60 76P05 82C40 PDF BibTeX XML Cite \textit{V. A. Voronina}, Comput. Math. Math. Phys. 32, No. 4, 489--498 (1992; Zbl 0777.65074); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 4, 576--586 (1992) OpenURL
Arlotti, Luisa A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov’s differential equations. (English) Zbl 0734.45005 Acta Appl. Math. 23, No. 2, 129-144 (1991). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 45K05 82C10 47D03 PDF BibTeX XML Cite \textit{L. Arlotti}, Acta Appl. Math. 23, No. 2, 129--144 (1991; Zbl 0734.45005) Full Text: DOI OpenURL
Jerri, A. J. A recent modification of iterative methods for solving nonlinear problems. (English) Zbl 0763.65036 The mathematical heritage of C.F. Gauss, Collect. Pap. Mem. C. F. Gauss, 379-404 (1991). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65H10 65N22 65M70 35Q72 80A32 35J65 35K55 PDF BibTeX XML Cite \textit{A. J. Jerri}, in: The mathematical heritage of C. F. Gauss. A collection of papers in memory of C. F. Gauss. London: World Scientific. 379--404 (1991; Zbl 0763.65036) OpenURL
Palmeri, J. The one-dimensional monoenergetic time-dependent transport equation in infinite media (revisited). (English) Zbl 0631.45010 Transp. Theory Stat. Phys. 16, 897-933 (1987). Reviewer: V.C.Boffi MSC: 45K05 44A10 42A38 82C70 76P05 PDF BibTeX XML Cite \textit{J. Palmeri}, Transp. Theory Stat. Phys. 16, 897--933 (1987; Zbl 0631.45010) Full Text: DOI OpenURL
Song, Yuhe; Yang, Mingzhu Spectral approximation theory for multigroup neutron transport operators. (English) Zbl 0636.65148 Acta Math. Sci. 6, 339-352 (1986). MSC: 65R20 45K05 82C70 PDF BibTeX XML Cite \textit{Y. Song} and \textit{M. Yang}, Acta Math. Sci. 6, 339--352 (1986; Zbl 0636.65148) OpenURL
Khidr, M. A.; Mahmoud, M. A. A. About the shock wave structure for arbitrary Prandtl number and high Mach number. (English) Zbl 0624.76086 J. Fac. Educ., Ain Shams Univ. 8, No. 2, 63-67 (1984). MSC: 76L05 76N10 76M99 76P05 PDF BibTeX XML Cite \textit{M. A. Khidr} and \textit{M. A. A. Mahmoud}, J. Fac. Educ., Ain Shams Univ. 8, No. 2, 63--67 (1984; Zbl 0624.76086) OpenURL
Bondarenko, A. N. Some inverse problems for kinetic equations. (Russian) Zbl 0609.35081 Methods for the solution of ill-posed mathematical problems and problems of geophysics, Collect. sci. Works, Novosibirsk 1984, 29-39 (1984). Reviewer: V.Komkov MSC: 35R30 35Q99 76P05 35A05 PDF BibTeX XML OpenURL
Chi, L. K.; Wen, Shih-liang Solutions to higher-order boundary-layer equations for flow over a semi- infinite plate. (English) Zbl 0409.76033 AIAA J. 17, 915-919 (1979). MSC: 76D10 76P05 PDF BibTeX XML Cite \textit{L. K. Chi} and \textit{S.-l. Wen}, AIAA J. 17, 915--919 (1979; Zbl 0409.76033) Full Text: DOI OpenURL
Siewert, C. E.; Kriese, J. T. Half-range orthogonality relations basic to the solution of time- dependent boundary value problems in the kinetic theory of gases. (English) Zbl 0396.76054 Z. angew. Math. Phys. 29, 199-205 (1978). MSC: 76P05 PDF BibTeX XML Cite \textit{C. E. Siewert} and \textit{J. T. Kriese}, Z. Angew. Math. Phys. 29, 199--205 (1978; Zbl 0396.76054) Full Text: DOI OpenURL