-
1
-
-
0040086593
-
A Computational Investigation of the Random Particle Method for the Numerical Solution of the Kinetic Vlasov-Poisson-Fokker-Planck Equations
-
E. J. ALLEN AND H. D. VICTORY, JR., A Computational Investigation of the Random Particle Method for the Numerical Solution of the Kinetic Vlasov-Poisson-Fokker-Planck Equations. Phys. A, 209 (1994), pp. 318-346.
-
(1994)
Phys. A
, vol.209
, pp. 318-346
-
-
Allen, E.J.1
Victory Jr., H.D.2
-
4
-
-
84966236685
-
Rates of convergence for viscous splitting of the Navier-Stokes equations
-
J. T. BEALE AND A. MAJDA, Rates of convergence for viscous splitting of the Navier-Stokes equations, Math. Comp., 37 (1981), pp. 243-259.
-
(1981)
Math. Comp.
, vol.37
, pp. 243-259
-
-
Beale, J.T.1
Majda, A.2
-
5
-
-
43949174165
-
Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions
-
F. BOUCHUT, Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions, J. Fund. Anal., 111 (1993), pp. 239-258.
-
(1993)
J. Fund. Anal.
, vol.111
, pp. 239-258
-
-
Bouchut, F.1
-
6
-
-
0014749272
-
Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation
-
J. H. BRAMBLE AND S. R. HILBERT, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation, SIAM J. Numer. Anal., 7 (1970), pp. 112-124.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 112-124
-
-
Bramble, J.H.1
Hilbert, S.R.2
-
7
-
-
0004256573
-
-
Addison-Wesley, Reading, MA
-
L. BREIMAN, Probability, Addison-Wesley, Reading, MA, 1968.
-
(1968)
Probability
-
-
Breiman, L.1
-
8
-
-
0002121327
-
Stochastic problems in physics and astronomy
-
S. CHANDRASEKHAR, Stochastic problems in physics and astronomy, Rev. Modern Phys., 15 (1943), pp. 1-89.
-
(1943)
Rev. Modern Phys.
, vol.15
, pp. 1-89
-
-
Chandrasekhar, S.1
-
9
-
-
36149024253
-
Brownian motion, dynamical friction, and stellar dynamics
-
_, Brownian motion, dynamical friction, and stellar dynamics, Rev. Modern Phys., 21 (1949), pp. 383-388.
-
(1949)
Rev. Modern Phys.
, vol.21
, pp. 383-388
-
-
-
12
-
-
84966250275
-
Numerical solution of stochastic differential equations with constant diffusion coefficients
-
_, Numerical solution of stochastic differential equations with constant diffusion coefficients, Math. Comp., 49 (1987), pp. 523-542.
-
(1987)
Math. Comp.
, vol.49
, pp. 523-542
-
-
-
13
-
-
0011428085
-
Random vortex methods for the Navier-Stokes equations
-
_, Random vortex methods for the Navier-Stokes equations, J. Comput. Phys., 76 (1988), pp. 281-300.
-
(1988)
J. Comput. Phys.
, vol.76
, pp. 281-300
-
-
-
14
-
-
0001203226
-
Hermite expansions in Monte-Carlo computations
-
A. J. CHORIN, Hermite expansions in Monte-Carlo computations, J. Comput. Phys., 8 (1971), pp. 472-482.
-
(1971)
J. Comput. Phys.
, vol.8
, pp. 472-482
-
-
Chorin, A.J.1
-
15
-
-
0347786769
-
Numerical study of slightly viscous flow
-
_, Numerical study of slightly viscous flow, J. Fluid. Mech., 57 (1973), pp. 785-796.
-
(1973)
J. Fluid. Mech.
, vol.57
, pp. 785-796
-
-
-
17
-
-
1542640863
-
-
Thèse de 3ème cycle, Université Pierre et Marie Curie, Paris, France
-
G-H, COTTET, Methods particulaires pour l'equation d'Euler dans le plan, Thèse de 3ème cycle, Université Pierre et Marie Curie, Paris, France, 1982.
-
(1982)
Methods Particulaires pour l'Equation d'Euler dans le plan
-
-
Cottet, G.-H.1
-
19
-
-
0003919530
-
-
Springer-Verlag, New York, Heidelberg, Berlin
-
D. FREEDMAN, Brownian Motion and Diffusion, Springer-Verlag, New York, Heidelberg, Berlin, 1983.
-
(1983)
Brownian Motion and Diffusion
-
-
Freedman, D.1
-
20
-
-
0003933434
-
-
Academic Press, New York, San Francisco, London
-
A. FRIEDMAN, Stochastic Differential Equations and Applications, I, Academic Press, New York, San Francisco, London, 1975.
-
(1975)
Stochastic Differential Equations and Applications
, vol.1
-
-
Friedman, A.1
-
21
-
-
0038860616
-
On the convergence of particle methods for multidimensional Vlasov-Poisson systems
-
K. GANGULY AND H. D. VICTORY, JR., On the convergence of particle methods for multidimensional Vlasov-Poisson systems, SIAM J. Numer. Anal., 26 (1989), pp. 249-288.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 249-288
-
-
Ganguly, K.1
Victory Jr., H.D.2
-
22
-
-
0026377936
-
On simulation methods of Vlasov-Poisson systems with particles initially asymptotically distributed
-
K. GANGULY, J. TODD LEE, AND H. D. VICTORY, JR., On simulation methods of Vlasov-Poisson systems with particles initially asymptotically distributed, SIAM J. Numer. Anal., 28 (1991), pp. 1574-1609.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1574-1609
-
-
Ganguly, K.1
Todd Lee, J.2
Victory Jr., H.D.3
-
23
-
-
0001971785
-
Grid-free simulation of diffusion using random walk methods
-
A. GHONIEM AND F. S. SHERMAN, Grid-free simulation of diffusion using random walk methods, J. Comput. Phys., 61 (1985), pp. 1-37.
-
(1985)
J. Comput. Phys.
, vol.61
, pp. 1-37
-
-
Ghoniem, A.1
Sherman, F.S.2
-
24
-
-
84990617933
-
Convergence of the random vortex method
-
J. GOODMAN, Convergence of the random vortex method, Comm. Pure Appl. Math., 40 (2) (1987), pp. 189-220.
-
(1987)
Comm. Pure Appl. Math.
, vol.40
, Issue.2
, pp. 189-220
-
-
Goodman, J.1
-
25
-
-
0001731074
-
Convergence of vortex methods for Euler's equations II
-
O. HALD, Convergence of vortex methods for Euler's equations II, SIAM J. Numer. Anal., 16 (1979), pp. 726-755.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 726-755
-
-
Hald, O.1
-
26
-
-
0023364544
-
Convergence of vortex methods for Euler's equations III
-
_, Convergence of vortex methods for Euler's equations III, SIAM J. Numer. Anal., 24 (1987), pp. 538-587.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 538-587
-
-
-
27
-
-
0003789556
-
Lectures on stochastic processes
-
Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
-
K. ITO, Lectures on stochastic processes, in Lecture Notes: Tata Institute of Fundamental Research, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1984.
-
(1984)
Lecture Notes: Tata Institute of Fundamental Research
-
-
Ito, K.1
-
28
-
-
1542746186
-
The method of stochastic differential equations for computing the kinetics of a plasma with collisions
-
M. F. IVANOV and V. F. SHVETS, The method of stochastic differential equations for computing the kinetics of a plasma with collisions, U.S.S.R. Comput. Maths. Math. Phys., 20 (1980), pp. 146-155.
-
(1980)
U.S.S.R. Comput. Maths. Math. Phys.
, vol.20
, pp. 146-155
-
-
Ivanov, M.F.1
Shvets, V.F.2
-
29
-
-
84980077727
-
Hyperbolic systems of conservation laws, II
-
P. D. LAX, Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10 (1957), pp. 537-566.
-
(1957)
Comm. Pure Appl. Math.
, vol.10
, pp. 537-566
-
-
Lax, P.D.1
-
30
-
-
0040968203
-
-
Ph.D. thesis, University of California, Berkeley, December
-
DING-GWO LONG, Convergence of the Random Vortex Method in One and Two Dimensions, Ph.D. thesis, University of California, Berkeley, December, 1986.
-
(1986)
Convergence of the Random Vortex Method in One and Two Dimensions
-
-
Long, D.-G.1
-
31
-
-
84968499110
-
Convergence of the random vortex method in two dimensions
-
_, Convergence of the random vortex method in two dimensions, J. Amer. Math. Soc., 1 (1988), pp. 779-804.
-
(1988)
J. Amer. Math. Soc.
, vol.1
, pp. 779-804
-
-
-
32
-
-
0041465279
-
Concentrations in the one-dimensional Vlasov-Poisson equations, II: Screening and the necessity for measure-valued solutions in the two component case
-
A. MAJDA, G. MAJDA, AND Y. ZHENG, Concentrations in the one-dimensional Vlasov-Poisson equations, II: Screening and the necessity for measure-valued solutions in the two component case, Phys. D, 79 (1994), pp. 41-76.
-
(1994)
Phys. D
, vol.79
, pp. 41-76
-
-
Majda, A.1
Majda, G.2
Zheng, Y.3
-
33
-
-
0000852622
-
Hydrodynamics in two dimensions and vortex theory
-
C. MARCHIORO AND M. PULVIRENTI, Hydrodynamics in two dimensions and vortex theory, Comm. Math. Phys., 84 (1982), pp. 483-503.
-
(1982)
Comm. Math. Phys.
, vol.84
, pp. 483-503
-
-
Marchioro, C.1
Pulvirenti, M.2
-
35
-
-
84979108268
-
On the Vlasov-Fokker-Planck equation
-
H. NEUNZERT, M. PULVIRENTI, AND L. TRIOLO, On the Vlasov-Fokker-Planck equation, Math. Methods Appl. Sci., 6 (1984), pp. 527-538.
-
(1984)
Math. Methods Appl. Sci.
, vol.6
, pp. 527-538
-
-
Neunzert, H.1
Pulvirenti, M.2
Triolo, L.3
-
37
-
-
0002541354
-
Accuracy of the random vortex method for a problem with non-smooth initial conditions
-
STEPHEN ROBERTS, Accuracy of the random vortex method for a problem with non-smooth initial conditions, J. Comput. Phys., 58 (1985), pp. 29-43.
-
(1985)
J. Comput. Phys.
, vol.58
, pp. 29-43
-
-
Roberts, S.1
-
38
-
-
85033747835
-
On measuring the accuracy of the vortex method: Using a random method to model stable and unstable flow
-
Vortex Methods (Proceedings of the UCLA Workshop on Vortex Methods, 1987), C. Anderson and C. Greengard, eds., 1360, Springer-Verlag, New York, Heidelberg, Berlin
-
J. A. SETHIAN, On measuring the accuracy of the vortex method: Using a random method to model stable and unstable flow, in Vortex Methods (Proceedings of the UCLA Workshop on Vortex Methods, 1987), C. Anderson and C. Greengard, eds., Springer Lecture Notes in Mathematics, 1360, Springer-Verlag, New York, Heidelberg, Berlin, 1987.
-
(1987)
Springer Lecture Notes in Mathematics
-
-
Sethian, J.A.1
-
39
-
-
0039881680
-
Validation study of vortex methods
-
J. A. SETHIAN AND A. GHONIEM, Validation study of vortex methods, J. Comput. Phys., 74 (1988), pp. 283-317.
-
(1988)
J. Comput. Phys.
, vol.74
, pp. 283-317
-
-
Sethian, J.A.1
Ghoniem, A.2
-
41
-
-
0000696518
-
On classical solutions of Vlasov-Poisson-Fokker-Planck systems
-
H. D. VICTORY, JR. AND B. P. O'DWYER, On classical solutions of Vlasov-Poisson-Fokker-Planck systems, Indiana Univ. Math. J., 39 (1990), pp. 105-155.
-
(1990)
Indiana Univ. Math. J.
, vol.39
, pp. 105-155
-
-
Victory Jr., H.D.1
O'Dwyer, B.P.2
-
42
-
-
0026205241
-
The convergence analysis of fully discretized particle methods for solving Vlasov-Poisson systems
-
H. D. VICTORY, JR., GARRY TUCKER, AND K. GANGULY, The convergence analysis of fully discretized particle methods for solving Vlasov-Poisson systems, SIAM. J. Numer. Anal., 28 (1991), pp. 955-989.
-
(1991)
SIAM. J. Numer. Anal.
, vol.28
, pp. 955-989
-
-
Victory Jr., H.D.1
Tucker, G.2
Ganguly, K.3
-
43
-
-
0026237679
-
The convergence theory of particle-in-cell methods for multidimensional Vlasov-Poisson systems
-
H. D. VICTORY, JR., AND EDWARD J. ALLEN, The convergence theory of particle-in-cell methods for multidimensional Vlasov-Poisson systems, SIAM J. Numer. Anal., 28 (1991), pp. 1207-1241.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 1207-1241
-
-
Victory Jr., H.D.1
Allen, E.J.2
-
44
-
-
44949272364
-
On the existence of global weak solutions for Vlasov-Poisson-Fokker-Planck systems
-
H. D. VICTORY, JR., On the existence of global weak solutions for Vlasov-Poisson-Fokker-Planck systems, J. Math. Anal. Appl., 160 (1991), pp. 525-555.
-
(1991)
J. Math. Anal. Appl.
, vol.160
, pp. 525-555
-
-
Victory Jr., H.D.1
|