-
1
-
-
0002809516
-
A comparison of some Monte Carlo and quasi Monte Carlo techniques for option pricing
-
(Larcher G., Niederreiter H., Hellekalek P. and Zinterhof P., eds), Springer
-
Acworth P., Broadie M. and Glasserman P. (1997), A comparison of some Monte Carlo and quasi Monte Carlo techniques for option pricing, in Monte Carlo and Quasi-Monte Carlo Methods 1996 (Larcher G., Niederreiter H., Hellekalek P. and Zinterhof P., eds), Springer.
-
(1997)
Monte Carlo and Quasi-Monte Carlo Methods 1996
-
-
Acworth, P.1
Broadie, M.2
Glasserman, P.3
-
2
-
-
38249019927
-
Application of well-distributed sequences to the numerical simulation of the Boltzmann equation
-
Babovsky H., Gropengiesser F., Neunzert H., Struckmeier J. and Wiesen J. (1990), ‘Application of well-distributed sequences to the numerical simulation of the Boltzmann equation’, J. Comput. Appl. Math. 31, 15–22.
-
(1990)
J. Comput. Appl. Math.
, vol.31
, pp. 15-22
-
-
Babovsky, H.1
Gropengiesser, F.2
Neunzert, H.3
Struckmeier, J.4
Wiesen, J.5
-
3
-
-
0001076950
-
Fluid dynamic limits of kinetic equations: I. Formal derivations
-
Bardos C., Golse F. and Levermore C. D. (1991), ‘Fluid dynamic limits of kinetic equations: I. Formal derivations’, J. Statist. Phys. 63, 323–344.
-
(1991)
J. Statist. Phys.
, vol.63
, pp. 323-344
-
-
Bardos, C.1
Golse, F.2
Levermore, C.D.3
-
4
-
-
84990619144
-
Fluid dynamic limits of kinetic equations: II. Convergence proofs for the Boltzmann equation
-
Bardos C., Golse F. and Levermore C. D. (1993), ‘Fluid dynamic limits of kinetic equations: II. Convergence proofs for the Boltzmann equation’, Comm. Pure Appl. Math. 46, 667–753.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 667-753
-
-
Bardos, C.1
Golse, F.2
Levermore, C.D.3
-
6
-
-
0017956227
-
Monte Carlo simulation of gas flows
-
Bird G. A. (1978), ‘Monte Carlo simulation of gas flows’, Ann. Rev. Fluid Mech. 10, 11–31.
-
(1978)
Ann. Rev. Fluid Mech.
, vol.10
, pp. 11-31
-
-
Bird, G.A.1
-
7
-
-
0010115469
-
The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation
-
Borgers C., Larsen E. W. and Adams M. L. (1992), ‘The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation’ J. Comput. Phys. 98, 285–300.
-
(1992)
J. Comput. Phys.
, vol.98
, pp. 285-300
-
-
Borgers, C.1
Larsen, E.W.2
Adams, M.L.3
-
8
-
-
0028756686
-
Algorithm 738 – Programs to generate Niederreiter's discrepancy sequences
-
Bratley P., Fox B. L. and Niederreiter H. (1994), ‘Algorithm 738 – Programs to generate Niederreiter's discrepancy sequences’, ACM Trans. Math. Software 20, 494–495.
-
(1994)
ACM Trans. Math. Software
, vol.20
, pp. 494-495
-
-
Bratley, P.1
Fox, B.L.2
Niederreiter, H.3
-
9
-
-
26844444980
-
Fluid dynamics and the Boltzmann equation
-
(Montroll E. W. and Lebowitz J. L., eds), of Studies in Statistical Mechanics, North Holland
-
Caflisch R. E. (1983), Fluid dynamics and the Boltzmann equation, in Nonequilibrium Phenomena I: The Boltzmann equation (Montroll E. W. and Lebowitz J. L., eds), Vol. 10 of Studies in Statistical Mechanics, North Holland, pp. 193–223.
-
(1983)
Nonequilibrium Phenomena I: The Boltzmann equation
, vol.10
, pp. 193-223
-
-
Caflisch, R.E.1
-
10
-
-
0001407297
-
Uniformly accurate schemes for hyperbolic systems with relaxation
-
(a)
-
Caflisch R. E., Jin S. and Russo G. (1997a), ‘Uniformly accurate schemes for hyperbolic systems with relaxation’, SIAM J. Numer. Anal. 34, 246–281.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 246-281
-
-
Caflisch, R.E.1
Jin, S.2
Russo, G.3
-
11
-
-
0003008716
-
Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension
-
(b)
-
Caflisch R. E., Morokoff W. and Owen A. B. (1997b), ‘Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension’, J. Comput. Finance 1, 27–46.
-
(1997)
J. Comput. Finance
, vol.1
, pp. 27-46
-
-
Caflisch, R.E.1
Morokoff, W.2
Owen, A.B.3
-
14
-
-
84990591606
-
Incompressible Navier–Stokes and Euler limits of the Boltzmann equation
-
De Masi A., Esposito R. and Lebowitz J. L. (1989), ‘Incompressible Navier–Stokes and Euler limits of the Boltzmann equation’, Comm. Pure Appl. Math. 42, 1189–1214.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 1189-1214
-
-
De Masi, A.1
Esposito, R.2
Lebowitz, J.L.3
-
15
-
-
0001013260
-
Discrépance de suites associées à un système de numération (en dimension s)
-
Faure H. (1982), ‘Discrépance de suites associées à un système de numération (en dimension s)’, Acta Arithmetica 41, 337–351.
-
(1982)
Acta Arithmetica
, vol.41
, pp. 337-351
-
-
Faure, H.1
-
17
-
-
0000677613
-
Relaxation schemes for nonlinear kinetic equations
-
Gabetta E., Pareschi L. and Toscani G. (1997), ‘Relaxation schemes for nonlinear kinetic equations’, SIAM J. Numer. Anal. 34, 2168–2194.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2168-2194
-
-
Gabetta, E.1
Pareschi, L.2
Toscani, G.3
-
18
-
-
0001776391
-
Investigations of the motion of discrete-velocity gases
-
(Muntz E. P., Weaver D. P. and Campbell D. H., eds), Vol. 118 of Progress in Aeronautics and Astronautics, Proceedings of the 16th International Symposium on Rarefied Gas Dynamics
-
Goldstein D., Sturtevant B. and Broadwell J. E. (1988), Investigations of the motion of discrete-velocity gases, in Rarefied Gas Dynamics: Theoretical and Computational Techniques (Muntz E. P., Weaver D. P. and Campbell D. H., eds), Vol. 118 of Progress in Aeronautics and Astronautics, Proceedings of the 16th International Symposium on Rarefied Gas Dynamics, pp. 100–117.
-
(1988)
Rarefied Gas Dynamics: Theoretical and Computational Techniques
, pp. 100-117
-
-
Goldstein, D.1
Sturtevant, B.2
Broadwell, J.E.3
-
19
-
-
0002020770
-
On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
-
Halton J. H. (1960), ‘On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals’, Numer. Math. 2, 84–90.
-
(1960)
Numer. Math.
, vol.2
, pp. 84-90
-
-
Halton, J.H.1
-
21
-
-
84968515112
-
A method for numerical integration
-
Haselgrove C. (1961), ‘A method for numerical integration’, Math. Comput. 15, 323–337.
-
(1961)
Math. Comput.
, vol.15
, pp. 323-337
-
-
Haselgrove, C.1
-
22
-
-
0030259017
-
The mean square discrepancy of randomized nets
-
Hickernell F. J. (1996), ‘The mean square discrepancy of randomized nets’, ACM Trans. Model. Comput. Simul. 6, 274–296.
-
(1996)
ACM Trans. Model. Comput. Simul.
, vol.6
, pp. 274-296
-
-
Hickernell, F.J.1
-
23
-
-
0032345316
-
A generalized discrepancy and quadrature error bound
-
Hickernell F. J. (1998), ‘A generalized discrepancy and quadrature error bound’, Math. Comput. 67, 299–322.
-
(1998)
Math. Comput.
, vol.67
, pp. 299-322
-
-
Hickernell, F.J.1
-
26
-
-
0000397910
-
Fully-discrete numerical transfer in diffusive regimes
-
Jin S. and Levermore C. D. (1993), ‘Fully-discrete numerical transfer in diffusive regimes’, Transp. Theory Statist. Phys., 22, 739–791.
-
(1993)
Transp. Theory Statist. Phys.
, vol.22
, pp. 739-791
-
-
Jin, S.1
Levermore, C.D.2
-
27
-
-
85011531937
-
Diffusive relaxation schemes for discrete-velocity kinetic equations
-
Preprint
-
Jin S., Pareschi L. and Toscani G. (1998), ‘Diffusive relaxation schemes for discrete-velocity kinetic equations’. Preprint.
-
(1998)
-
-
Jin, S.1
Pareschi, L.2
Toscani, G.3
-
31
-
-
0000833486
-
Null-collision technique in the direct-simulation Monte Carlo method
-
Koura K. (1986), ‘Null-collision technique in the direct-simulation Monte Carlo method’, Phys. Fluids 29, 3509–3511.
-
(1986)
Phys. Fluids
, vol.29
, pp. 3509-3511
-
-
Koura, K.1
-
33
-
-
0020929962
-
Diffusion-synthetic acceleration methods for discrete-ordinates problems
-
Larsen E. W. (1984), ‘Diffusion-synthetic acceleration methods for discrete-ordinates problems’, Transp. Theory Statist. Phys. 13, 107–126.
-
(1984)
Transp. Theory Statist. Phys.
, vol.13
, pp. 107-126
-
-
Larsen, E.W.1
-
34
-
-
0000718834
-
Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
-
Larsen E. W., Morel J. E. and Miller W. F. (1987), ‘Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes’, J. Comput. Phys. 69, 283–324.
-
(1987)
J. Comput. Phys.
, vol.69
, pp. 283-324
-
-
Larsen, E.W.1
Morel, J.E.2
Miller, W.F.3
-
35
-
-
0011636441
-
A new algorithm for adaptive multidimensional integration
-
Lepage G. (1978), ‘A new algorithm for adaptive multidimensional integration’, J. Comput. Phys. 27, 192–203.
-
(1978)
J. Comput. Phys.
, vol.27
, pp. 192-203
-
-
Lepage, G.1
-
36
-
-
0026168942
-
Normal (Gaussian) random variables for supercomputers
-
Marsaglia G. (1991), ‘Normal (Gaussian) random variables for supercomputers’, J. Supercomputing 5, 49–55.
-
(1991)
J. Supercomputing
, vol.5
, pp. 49-55
-
-
Marsaglia, G.1
-
37
-
-
0027805257
-
A quasi-Monte Carlo approach to particle simulation of the heat equation
-
Morokoff W. and Caflisch R. E. (1993), ‘A quasi-Monte Carlo approach to particle simulation of the heat equation’, SIAM J. Numer. Anal. 30, 1558–1573.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 1558-1573
-
-
Morokoff, W.1
Caflisch, R.E.2
-
39
-
-
0001243365
-
Quasi-Monte Carlo integration
-
Morokoff W. and Caflisch R. E. (1995), ‘Quasi-Monte Carlo integration’, J. Comput. Phys. 122, 218–230.
-
(1995)
J. Comput. Phys.
, vol.122
, pp. 218-230
-
-
Morokoff, W.1
Caflisch, R.E.2
-
40
-
-
0002622180
-
Smoothness and dimension reduction in quasi-Monte Carlo methods
-
Moskowitz B. and Caflisch R. E. (1996), ‘Smoothness and dimension reduction in quasi-Monte Carlo methods’, J. Math. Comput. Modeling 23, 37–54.
-
(1996)
J. Math. Comput. Modeling
, vol.23
, pp. 37-54
-
-
Moskowitz, B.1
Caflisch, R.E.2
-
41
-
-
0040268725
-
Theoretical basis of the direct simulation Monte Carlo method
-
(Boffi V. and Cercignani C., eds)
-
Nanbu K. (1986), Theoretical basis of the direct simulation Monte Carlo method, in Proceedings of the 15th International Symposium on Rarefied Gas Dynamics (Boffi V. and Cercignani C., eds), Vol. I, pp. 369–383.
-
(1986)
Proceedings of the 15th International Symposium on Rarefied Gas Dynamics
, vol.1
, pp. 369-383
-
-
Nanbu, K.1
-
43
-
-
0001491057
-
Randomly permuted (t, m, s)-nets and (t, s)-sequences
-
(Niederreiter H. and Shiue P. J.-S., eds), Springer, New York
-
Owen A. B. (1995), Randomly permuted (t, m, s)-nets and (t, s)-sequences, in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (Niederreiter H. and Shiue P. J.-S., eds), Springer, New York, pp. 299–317.
-
(1995)
Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing
, pp. 299-317
-
-
Owen, A.B.1
-
44
-
-
0013036522
-
Monte Carlo variance of scrambled net quadrature
-
Owen A. B. (1997), ‘Monte Carlo variance of scrambled net quadrature’, SIAM J. Numer. Anal. 34, 1884–1910.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1884-1910
-
-
Owen, A.B.1
-
45
-
-
85011486014
-
Scrambled net variance for integrals of smooth functions
-
In press
-
Owen A. B. (1998), ‘Scrambled net variance for integrals of smooth functions’, Ann. Statist. In press.
-
(1998)
Ann. Statist.
-
-
Owen, A.B.1
-
46
-
-
0026768474
-
Portable random number generators
-
Press W. H. and Teukolsky S. A. (1992), ‘Portable random number generators’, Comput. Phys. 6, 522–524.
-
(1992)
Comput. Phys.
, vol.6
, pp. 522-524
-
-
Press, W.H.1
Teukolsky, S.A.2
-
47
-
-
0003474751
-
-
2nd edn, Cambridge University Press
-
Press W. H., Teukolsky S. A., Vettering W. T. and Flannery B. P. (1992), Numerical Recipes in C: The Art of Scientific Computing, 2nd edn, Cambridge University Press.
-
(1992)
Numerical Recipes in C: The Art of Scientific Computing
-
-
Press, W.H.1
Teukolsky, S.A.2
Vettering, W.T.3
Flannery, B.P.4
-
48
-
-
0009965365
-
Generation of normal variates with given sample and mean variance
-
Pullin D. I. (1979), ‘Generation of normal variates with given sample and mean variance’, J. Statist. Comput. Simul. 9, 303–309.
-
(1979)
J. Statist. Comput. Simul.
, vol.9
, pp. 303-309
-
-
Pullin, D.I.1
-
49
-
-
0001352321
-
The distribution of points in a cube and the accurate evaluation of integrals
-
In Russian.
-
Sobol I. M. ' (1967), ‘The distribution of points in a cube and the accurate evaluation of integrals’, Zh. Vychisl. Mat. Mat. Fiz. 7, 784–802. In Russian.
-
(1967)
Zh. Vychisl. Mat. Mat. Fiz.
, vol.7
, pp. 784-802
-
-
Sobol, I.M.1
-
50
-
-
49349129696
-
Uniformly distributed sequences with additional uniformity property
-
Sobol I. M. ' (1976), ‘Uniformly distributed sequences with additional uniformity property’, USSR Comput. Math. Math. Phys. 16, 1332–1337.
-
(1976)
USSR Comput. Math. Math. Phys.
, vol.16
, pp. 1332-1337
-
-
Sobol, I.M.1
-
51
-
-
0028387701
-
Quasi-random methods for estimating integrals using relatively small samples
-
Spanier J. and Maize E. H. (1994), ‘Quasi-random methods for estimating integrals using relatively small samples’, SIAM Rev. 36, 18–44.
-
(1994)
SIAM Rev
, vol.36
, pp. 18-44
-
-
Spanier, J.1
Maize, E.H.2
-
52
-
-
34249834360
-
A convergence proof for Bird's Direct Simulation Monte Carlo method for the Boltzmann equation
-
Wagner W. (1992), ‘A convergence proof for Bird's Direct Simulation Monte Carlo method for the Boltzmann equation’, J. Statist. Phys. 66, 1011–1044.
-
(1992)
J. Statist. Phys.
, vol.66
, pp. 1011-1044
-
-
Wagner, W.1
-
53
-
-
84967790439
-
Average case complexity of multivariate integration
-
Woźniakowski H. (1991), ‘Average case complexity of multivariate integration’, Bull. Amer. Math. Soc. 24, 185–194.
-
(1991)
Bull. Amer. Math. Soc.
, vol.24
, pp. 185-194
-
-
Woźniakowski, H.1
-
54
-
-
21844527203
-
A construction of low-discrepancy sequences using global function fields
-
Xing C. P. and Niederreiter H. (1995), ‘A construction of low-discrepancy sequences using global function fields’, Acta Arithmetica 73, 87–102.
-
(1995)
Acta Arithmetica
, vol.73
, pp. 87-102
-
-
Xing, C.P.1
Niederreiter, H.2
-
55
-
-
0010797727
-
The mathematical basis of Monte Carlo and quasi-Monte Carlo methods
-
Zaremba S. K. (1968), ‘The mathematical basis of Monte Carlo and quasi-Monte Carlo methods’, SIAM Rev. 10, 303–314.
-
(1968)
SIAM Rev
, vol.10
, pp. 303-314
-
-
Zaremba, S.K.1
|