-
3
-
-
67349095304
-
-
Ciarlet P.G., and Lions J.L. (Eds), North-Holland, Amsterdam
-
Bernardi C., and Maday Y. Spectral Methods. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis vol. V (1997), North-Holland, Amsterdam 209-487
-
(1997)
Handbook of Numerical Analysis
, vol.V
, pp. 209-487
-
-
Bernardi, C.1
Maday, Y.2
-
5
-
-
18144386494
-
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
-
10.1016/j.jcp.2004.12.014
-
Cao Y., Gillespie D., and Petzold L. Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. J. Comput. Phys. 206 (2005) 395-411 10.1016/j.jcp.2004.12.014
-
(2005)
J. Comput. Phys.
, vol.206
, pp. 395-411
-
-
Cao, Y.1
Gillespie, D.2
Petzold, L.3
-
6
-
-
54049132062
-
Adaptive discrete Galerkin methods applied to the chemical master equation
-
Technical Report 07-04, Zuse Institute Berlin, Available at
-
P. Deuflhard, W. Huisinga, T. Jahnke, M. Wulkow, Adaptive discrete Galerkin methods applied to the chemical master equation. Technical Report 07-04, Zuse Institute Berlin, 2007. Available at: http://www.zib.de/bib/pub
-
(2007)
-
-
Deuflhard, P.1
Huisinga, W.2
Jahnke, T.3
Wulkow, M.4
-
7
-
-
0000391411
-
Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable
-
10.1016/0899-8248(89)90013-X
-
Deuflhard P., and Wulkow M. Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable. Impact Comput. Sci. Eng. 1 3 (1989) 269-301 10.1016/0899-8248(89)90013-X
-
(1989)
Impact Comput. Sci. Eng.
, vol.1
, Issue.3
, pp. 269-301
-
-
Deuflhard, P.1
Wulkow, M.2
-
9
-
-
27744516835
-
Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates
-
10.1063/1.2109987
-
E W., Liu D., and Vanden-Eijnden E. Nested stochastic simulation algorithm for chemical kinetic systems with disparate rates. J. Chem. Phys. 123 19 (2005) 10.1063/1.2109987
-
(2005)
J. Chem. Phys.
, vol.123
, Issue.19
-
-
E, W.1
Liu, D.2
Vanden-Eijnden, E.3
-
10
-
-
33748962544
-
Computing the moments of high dimensional solutions of the master equation
-
10.1016/j.amc.2005.12.032
-
Engblom S. Computing the moments of high dimensional solutions of the master equation. Appl. Math. Comput. 180 2 (2006) 498-515 10.1016/j.amc.2005.12.032
-
(2006)
Appl. Math. Comput.
, vol.180
, Issue.2
, pp. 498-515
-
-
Engblom, S.1
-
11
-
-
67349285089
-
Gaussian quadratures with respect to discrete measures
-
Technical Report 2006-007, Dept. of Information Technology, Uppsala University, Uppsala, Sweden, Available at
-
S. Engblom, Gaussian quadratures with respect to discrete measures. Technical Report 2006-007, Dept. of Information Technology, Uppsala University, Uppsala, Sweden, 2006. Available at: http://www.it.uu.se/research
-
(2006)
-
-
Engblom, S.1
-
12
-
-
53849098462
-
A discrete spectral method for the chemical master equation
-
Technical Report 2008-005, Dept. of Information Technology, Uppsala University, Uppsala, Sweden, Available at
-
S. Engblom, A discrete spectral method for the chemical master equation. Technical Report 2008-005, Dept. of Information Technology, Uppsala University, Uppsala, Sweden, 2008. Available at: http://www.it.uu.se/research
-
(2008)
-
-
Engblom, S.1
-
13
-
-
85150403599
-
-
S. Engblom, Galerkin spectral method applied to the chemical master equation, Commun. Comput. Phys. 5 (5) (2009) 871-896 (in press)
-
S. Engblom, Galerkin spectral method applied to the chemical master equation, Commun. Comput. Phys. 5 (5) (2009) 871-896 (in press)
-
-
-
-
14
-
-
33750919248
-
Conservative solution of the Fokker-Planck equation for stochastic chemical reactions
-
10.1007/s10543-006-0082-z
-
Ferm L., Lötstedt P., and Sjöberg P. Conservative solution of the Fokker-Planck equation for stochastic chemical reactions. BIT 46 (2006) S61-S83 10.1007/s10543-006-0082-z
-
(2006)
BIT
, vol.46
-
-
Ferm, L.1
Lötstedt, P.2
Sjöberg, P.3
-
16
-
-
0017030517
-
A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
-
10.1016/0021-9991(76)90041-3
-
Gillespie D.T. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comput. Phys. 22 4 (1976) 403-434 10.1016/0021-9991(76)90041-3
-
(1976)
J. Comput. Phys.
, vol.22
, Issue.4
, pp. 403-434
-
-
Gillespie, D.T.1
-
18
-
-
44049109914
-
A rigorous derivation of the chemical master equation
-
10.1016/0378-4371(92)90283-V
-
Gillespie D.T. A rigorous derivation of the chemical master equation. Physica A 188 (1992) 404-425 10.1016/0378-4371(92)90283-V
-
(1992)
Physica A
, vol.188
, pp. 404-425
-
-
Gillespie, D.T.1
-
19
-
-
0029394767
-
Does replication-induced transcription regulate synthesis of the myriad low copy number proteins of Escherichia coli?
-
10.1002/bies.950171112
-
Guptasarama P. Does replication-induced transcription regulate synthesis of the myriad low copy number proteins of Escherichia coli?. Bioessays 17 11 (1995) 987-997 10.1002/bies.950171112
-
(1995)
Bioessays
, vol.17
, Issue.11
, pp. 987-997
-
-
Guptasarama, P.1
-
20
-
-
0037109565
-
Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics
-
10.1063/1.1505860
-
Haseltine E.L., and Rawlings J.B. Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics. J. Chem. Phys. 117 15 (2002) 10.1063/1.1505860
-
(2002)
J. Chem. Phys.
, vol.117
, Issue.15
-
-
Haseltine, E.L.1
Rawlings, J.B.2
-
21
-
-
34248187057
-
A solver for the stochastic master equation applied to gene regulatory networks
-
10.1016/j.cam.2006.02.053
-
Hegland M., Burden C., Santoso L., MacNamara S., and Booth H. A solver for the stochastic master equation applied to gene regulatory networks. J. Comput. Appl. Math. 205 2 (2007) 708-724 10.1016/j.cam.2006.02.053
-
(2007)
J. Comput. Appl. Math.
, vol.205
, Issue.2
, pp. 708-724
-
-
Hegland, M.1
Burden, C.2
Santoso, L.3
MacNamara, S.4
Booth, H.5
-
24
-
-
0003884388
-
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
-
Technical Report 98-17, Delft University of Technology, Faculty of Information Technology and Systems, Department of Technical Mathematics and Informatics, Available at
-
R. Koekoek, R.F. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue. Technical Report 98-17, Delft University of Technology, Faculty of Information Technology and Systems, Department of Technical Mathematics and Informatics, 1998. Available at: http://aw.twi.tudelft.nl/koekoek/askey.html
-
(1998)
-
-
Koekoek, R.1
Swarttouw, R.F.2
-
25
-
-
13844308726
-
Galerkin methods for linear and nonlinear stochastic partial differential equations
-
10.1016/j.cma.2004.05.027
-
Matthies H.G., and Keese A. Galerkin methods for linear and nonlinear stochastic partial differential equations. Comput. Methods Appl. Mech. Engrg. 194 12-16 (2005) 1295-1331 10.1016/j.cma.2004.05.027
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, Issue.12-16
, pp. 1295-1331
-
-
Matthies, H.G.1
Keese, A.2
-
26
-
-
33749842033
-
Deviant effects in molecular reaction pathways
-
10.1038/nbt1253
-
Samoilov M.S., and Arkin A.P. Deviant effects in molecular reaction pathways. Nature Biotech. 24 (2006) 1235-1240 10.1038/nbt1253
-
(2006)
Nature Biotech.
, vol.24
, pp. 1235-1240
-
-
Samoilov, M.S.1
Arkin, A.P.2
-
27
-
-
0034432262
-
Stable and efficient spectral methods in unbounded domains using Laguerre functions
-
Shen J. Stable and efficient spectral methods in unbounded domains using Laguerre functions. SIAM J. Numer. Anal. 38 4 (2000) 1113-1133
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, Issue.4
, pp. 1113-1133
-
-
Shen, J.1
-
28
-
-
3042901536
-
Adaptive treatment of polyreactions in weighted sequence spaces
-
10.1016/0899-8248(92)90020-9
-
Wulkow M. Adaptive treatment of polyreactions in weighted sequence spaces. Impact Comput. Sci. Eng. 4 2 (1992) 153-193 10.1016/0899-8248(92)90020-9
-
(1992)
Impact Comput. Sci. Eng.
, vol.4
, Issue.2
, pp. 153-193
-
-
Wulkow, M.1
-
29
-
-
0030551532
-
The simulation of molecular weight distributions in polyreaction kinetics by discrete Galerkin methods
-
10.1002/mats.1996.040050303
-
Wulkow M. The simulation of molecular weight distributions in polyreaction kinetics by discrete Galerkin methods. Macromol. Theory Simul. 5 3 (1996) 393-416 10.1002/mats.1996.040050303
-
(1996)
Macromol. Theory Simul.
, vol.5
, Issue.3
, pp. 393-416
-
-
Wulkow, M.1
-
30
-
-
33646577797
-
High-order collocation methods for differential equations with random inputs
-
10.1137/040615201
-
Xiu D., and Hesthaven J.S. High-order collocation methods for differential equations with random inputs. SIAM J. Sci. Comput. 27 3 (2005) 1118-1139 10.1137/040615201
-
(2005)
SIAM J. Sci. Comput.
, vol.27
, Issue.3
, pp. 1118-1139
-
-
Xiu, D.1
Hesthaven, J.S.2
-
31
-
-
0037249229
-
The Wiener-Askey polynomial chaos for stochastic differential equations
-
10.1137/S1064827501387826
-
Xiu D., and Karniadakis G.E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput. 24 2 (2002) 619-644 10.1137/S1064827501387826
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, Issue.2
, pp. 619-644
-
-
Xiu, D.1
Karniadakis, G.E.2
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