메뉴 건너뛰기




Volumn 202, Issue 2, 2005, Pages 602-644

Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in one dimension

Author keywords

Collisional plasma; Particle method; Vlasov Poisson Fokker Planck system

Indexed keywords

DISTRIBUTION FUNCTIONS; NUMERICAL METHODS;

EID: 10244232779     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.07.017     Document Type: Article
Times cited : (25)

References (20)
  • 1
    • 0040086593 scopus 로고
    • A computational investigation of the random particle method for numerical solution of the kinetic Vlasov-Poisson-Fokker-Planck equations
    • E.J. Allen H.D. Victory Jr. A computational investigation of the random particle method for numerical solution of the kinetic Vlasov-Poisson-Fokker-Planck equations Phys. A 209 1994 318-346
    • (1994) Phys. , vol.A209 , pp. 318-346
    • Allen, E.J.1    Victory Jr., H.D.2
  • 3
    • 84972497473 scopus 로고
    • On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with coulombic and Newtonian potentials
    • F. Bouchut J. Dolbeault On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with coulombic and Newtonian potentials Diff. Integral Eq. 8 3 1995 487-514
    • (1995) Diff. Integral Eq. , vol.8 , Issue.3 , pp. 487-514
    • Bouchut, F.1    Dolbeault, J.2
  • 5
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • S. Chandrasekhar Stochastic problems in physics and astronomy Rev. Mod. Phys. 15 1943 1-89
    • (1943) Rev. Mod. Phys. , vol.15 , pp. 1-89
    • Chandrasekhar, S.1
  • 6
    • 0011428085 scopus 로고
    • Random vortex methods for the Navier-Stokes equation
    • C.-C. Chang Random vortex methods for the Navier-Stokes equation J. Computat. Phys. 76 1988 281-300
    • (1988) J. Computat. Phys. , vol.76 , pp. 281-300
    • Chang, C.-C.1
  • 7
    • 0001370361 scopus 로고
    • The integration of the Vlasov equation in configuration space
    • C. Cheng G. Knorr The integration of the Vlasov equation in configuration space J. Computat. Phys. 22 1976 330-351
    • (1976) J. Computat. Phys. , vol.22 , pp. 330-351
    • Cheng, C.1    Knorr, G.2
  • 9
    • 0011558848 scopus 로고    scopus 로고
    • The numerical analysis of random particle methods applied to Vlasov-Poisson-Fokker-Planck kinetic equations
    • K.J. Havlak H.D. Victory Jr. The numerical analysis of random particle methods applied to Vlasov-Poisson-Fokker-Planck kinetic equations SIAM J. Numer. Anal. 33 1996 291-317
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 291-317
    • Havlak, K.J.1    Victory Jr., H.D.2
  • 10
    • 0346963466 scopus 로고    scopus 로고
    • On deterministic particle methods for solving Vlasov-Poisson-Fokker-Planck systems
    • K.J. Havlak H.D. Victory Jr. On deterministic particle methods for solving Vlasov-Poisson-Fokker-Planck systems SIAM J. Numer. Anal. 35 4 1998 1473-1519
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.4 , pp. 1473-1519
    • Havlak, K.J.1    Victory Jr., H.D.2
  • 12
    • 0038860620 scopus 로고
    • The convergence of simulation methods in plasma physics
    • R. Kress, J. Wick (Eds.)
    • H. Neunzert, J. Wick, The convergence of simulation methods in plasma physics, in: R. Kress, J. Wick (Eds.), Mathematical Methods of Plasma Physics, 1980
    • (1980) Mathematical Methods of Plasma Physics
    • Neunzert, H.1    Wick, J.2
  • 13
    • 0010875399 scopus 로고
    • Simulation of collisional effects in plasmas
    • C.E. Rathmann J. Denavit Simulation of collisional effects in plasmas J. Computat. Phys. 18 1975 165-187
    • (1975) J. Computat. Phys. , vol.18 , pp. 165-187
    • Rathmann, C.E.1    Denavit, J.2
  • 14
    • 0002247923 scopus 로고    scopus 로고
    • Convergence of a difference scheme for the Vlasov-Poisson-Fokker-Planck system in one dimension
    • J. Schaeffer Convergence of a difference scheme for the Vlasov-Poisson-Fokker-Planck system in one dimension SIAM J. Numer. Anal. 35 3 1998 1149-1175
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.3 , pp. 1149-1175
    • Schaeffer, J.1
  • 15
    • 10244236155 scopus 로고    scopus 로고
    • A difference scheme for the Vlasov-Poisson-Fokker-Planck system
    • Research Report No. 97-NA-004, Department of Mathematical Sciences, Carnegie Mellon University
    • J. Schaeffer, A difference scheme for the Vlasov-Poisson-Fokker-Planck system, Research Report No. 97-NA-004, Department of Mathematical Sciences, Carnegie Mellon University, 1997
    • (1997)
    • Schaeffer, J.1
  • 17
    • 0000696518 scopus 로고
    • On classical solutions of the Vlasov-Poisson-Fokker-Planck systems
    • H.D. Victory Jr. B.P. O'Dwyer On classical solutions of the Vlasov-Poisson-Fokker-Planck systems Indiana Univ. Math. J. 39 1990 105-156
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 105-156
    • Victory Jr., H.D.1    O'Dwyer, B.P.2
  • 18
    • 0035600810 scopus 로고    scopus 로고
    • The convergence of the particle method for the Vlasov-Poisson system with equally spaced initial data points
    • S. Wollman E. Ozizmir R. Narasimhan The convergence of the particle method for the Vlasov-Poisson system with equally spaced initial data points Transport Theory Statist. Phys. 30 1 2001 1-62
    • (2001) Transport Theory Statist. Phys. , vol.30 , Issue.1 , pp. 1-62
    • Wollman, S.1    Ozizmir, E.2    Narasimhan, R.3
  • 19
    • 0038860618 scopus 로고    scopus 로고
    • Numerical approximation of the one-dimensional Vlasov-Poisson system with periodic boundary conditions
    • S. Wollman E. Ozizmir Numerical approximation of the one-dimensional Vlasov-Poisson system with periodic boundary conditions SIAM J. Numer. Anal. 33 4 1996 1377-1409
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.4 , pp. 1377-1409
    • Wollman, S.1    Ozizmir, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.