-
1
-
-
0037606706
-
Finite element and difference approximation of some linear stochastic partial differential equations
-
MR163704799d:60067
-
E.J. ALLEN, S.J. NOVOSEL, Z. ZHANG, Finite element and difference approximation of some linear stochastic partial differential equations, Stochastics Stochastics Rep., 64 (1998), 117-142. MR1637047(99d:60067)
-
(1998)
Stochastics Stochastics Rep
, vol.64
, pp. 117-142
-
-
ALLEN, E.J.1
NOVOSEL, S.J.2
ZHANG, Z.3
-
2
-
-
0000425575
-
Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations
-
MR044892656:7231
-
J. H. BRAMBLE, A. H. SCHATZ, V. THOMÉE, L. B. WAHLBIN, Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations, SIAM J. Numer. Anal. 14 (1977), 218-241. MR0448926(56:7231)
-
(1977)
SIAM J. Numer. Anal
, vol.14
, pp. 218-241
-
-
BRAMBLE, J.H.1
SCHATZ, A.H.2
THOMÉE, V.3
WAHLBIN, L.B.4
-
3
-
-
85120508001
-
-
E. BUCKWAR, T. SHARDLOW, Weak approximation of stochastic differential delay equations, IMA J. Numer. Anal. 25 (2005), 57-86. MR2110235 (2006a:65012)
-
E. BUCKWAR, T. SHARDLOW, Weak approximation of stochastic differential delay equations, IMA J. Numer. Anal. 25 (2005), 57-86. MR2110235 (2006a:65012)
-
-
-
-
6
-
-
2142825143
-
Second Order Partial Differential Equations in Hilbert Spaces, London Mathematical Society
-
Cambridge University Press, MR1985790 2004e:47058
-
G. DA PRATO and J. ZABCZYK, Second Order Partial Differential Equations in Hilbert Spaces, London Mathematical Society, Lecture Note Series 293, Cambridge University Press, 2002. MR1985790 (2004e:47058)
-
(2002)
Lecture Note Series
, vol.293
-
-
DA PRATO, G.1
ZABCZYK, J.2
-
7
-
-
0035605884
-
-
A.M. DAVIE, J.G. GAINES, Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations, Math. Comp. 70 (2001), 121-134 MR1803132 (2001h:65012)
-
A.M. DAVIE, J.G. GAINES, Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations, Math. Comp. 70 (2001), 121-134 MR1803132 (2001h:65012)
-
-
-
-
8
-
-
33750308058
-
-
A. DE BOUARD, A. DEBUSSCHE, Weak and strong order of convergence of a semi discrete scheme for the stochastic Nonlinear Schrodinger equation, Appl. Math. and Optim., 54 (2006), 369-399. MR2268663 (2008g:60208)
-
A. DE BOUARD, A. DEBUSSCHE, Weak and strong order of convergence of a semi discrete scheme for the stochastic Nonlinear Schrodinger equation, Appl. Math. and Optim., 54 (2006), 369-399. MR2268663 (2008g:60208)
-
-
-
-
9
-
-
71149113458
-
Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise
-
Preprint
-
M. GEISSERT, M. KOVACS, S. LARSSON, Rate of weak convergence of the finite element method for the stochastic heat equation with additive noise, Preprint.
-
-
-
GEISSERT, M.1
KOVACS, M.2
LARSSON, S.3
-
10
-
-
0003401596
-
-
Amer. Math. Soc, Providence, RI
-
I. C. GOKHBERG, M. G. KREǏN, Introduction to the theory of linear nonselfadjoint operators in Hilbert space, Amer. Math. Soc., Providence, RI, 1970.
-
(1970)
Introduction to the theory of linear nonselfadjoint operators in Hilbert space
-
-
GOKHBERG, I.C.1
KREǏN, M.G.2
-
11
-
-
0003027298
-
Time-discretised Galerkin approximations of parabolic stochastic PDEs
-
MR1402994 97g:60080
-
W. GRECKSCH, P.E. KLOEDEN, Time-discretised Galerkin approximations of parabolic stochastic PDEs, Bull. Austral. Math. Soc. 54 (1996), 79-85. MR1402994 (97g:60080)
-
(1996)
Bull. Austral. Math. Soc
, vol.54
, pp. 79-85
-
-
GRECKSCH, W.1
KLOEDEN, P.E.2
-
12
-
-
0041725493
-
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I
-
MR1644183 99j:60091
-
I. GYÖNGY, Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I, Potential Anal. 9 (1998), 1-25. MR1644183 (99j:60091)
-
(1998)
Potential Anal
, vol.9
, pp. 1-25
-
-
GYÖNGY, I.1
-
13
-
-
0042078403
-
-
I. GYÖNGY, Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II, Potential Anal. 11 (1999), 1-37 MR1699161 (2000g:60106)
-
I. GYÖNGY, Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II, Potential Anal. 11 (1999), 1-37 MR1699161 (2000g:60106)
-
-
-
-
14
-
-
17144406851
-
-
I. GYÖNGY, A. MILLET, On discretization schemes for stochastic evolution equations, Potential Analysis 23 (2005), 99-134. MR2139212 (2006a:60115)
-
I. GYÖNGY, A. MILLET, On discretization schemes for stochastic evolution equations, Potential Analysis 23 (2005), 99-134. MR2139212 (2006a:60115)
-
-
-
-
15
-
-
63049097055
-
Rate of Convergence of Implicit Approximations for stochastic evolution equations, Stochastic Differential Equations: Theory and Applications. A volume in Honor of Professor Boris L
-
World Scientific
-
I. GYÖNGY, A. MILLET, Rate of Convergence of Implicit Approximations for stochastic evolution equations, Stochastic Differential Equations: Theory and Applications. A volume in Honor of Professor Boris L. Rosovskii, Interdisciplinary Mathematical Sciences, Vol. 2, World Scientific (2007), 281-310.
-
(2007)
Rosovskii, Interdisciplinary Mathematical Sciences
, vol.2
, pp. 281-310
-
-
GYÖNGY, I.1
MILLET, A.2
-
16
-
-
63049122314
-
Rate of convergence of space time approximations for stochastic evolution equations
-
Preprint
-
I. GYÖNGY, A. MILLET, Rate of convergence of space time approximations for stochastic evolution equations, Preprint (2007).
-
(2007)
-
-
GYÖNGY, I.1
MILLET, A.2
-
17
-
-
0042732714
-
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise
-
MR1480861 98m:60097
-
I. GYÖNGY, D. NUALART, Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise, Potential Anal. 7 (1997), 725-757. MR1480861 (98m:60097)
-
(1997)
Potential Anal
, vol.7
, pp. 725-757
-
-
GYÖNGY, I.1
NUALART, D.2
-
18
-
-
0037107474
-
-
E. HAUSENBLAS, Approximation for semilinear stochastic evolution equations in Banach spaces, Journal in Comp. and Appl. Math., 147 (2002), 485-516. MR1933610 (2003j:35338)
-
E. HAUSENBLAS, Approximation for semilinear stochastic evolution equations in Banach spaces, Journal in Comp. and Appl. Math., 147 (2002), 485-516. MR1933610 (2003j:35338)
-
-
-
-
19
-
-
0037209607
-
-
E. HAUSENBLAS, Approximation for semilinear stochastic evolution equations, Potential Analysis, 18 (2003), 141-186. MR1953619 (2003m:60167)
-
E. HAUSENBLAS, Approximation for semilinear stochastic evolution equations, Potential Analysis, 18 (2003), 141-186. MR1953619 (2003m:60167)
-
-
-
-
20
-
-
63049111941
-
-
E. HAUSENBLAS, Weak approximation of stochastic partial differential equations. in Stochastic analysis and related topics VIII. Silivri workshop, Progress in Probability. U. Capar and A. Üsẗunel editors. Basel: Birkḧauser, 2003. MR2189620 (2006k:60114)
-
E. HAUSENBLAS, Weak approximation of stochastic partial differential equations. in Stochastic analysis and related topics VIII. Silivri workshop, Progress in Probability. U. Capar and A. Üsẗunel editors. Basel: Birkḧauser, 2003. MR2189620 (2006k:60114)
-
-
-
-
21
-
-
84966258600
-
Error estimates for spatially discrete approximations of semilinear parabolic equations with non smooth initial data
-
MR906175 88k:65100
-
C. JOHNSON, S. LARSSON, V. THOMÉE, L. B. WALHBIN, Error estimates for spatially discrete approximations of semilinear parabolic equations with non smooth initial data, Math. Comput., 49, (1987), 331-357. MR906175 (88k:65100)
-
(1987)
Math. Comput
, vol.49
, pp. 331-357
-
-
JOHNSON, C.1
LARSSON, S.2
THOMÉE, V.3
WALHBIN, L.B.4
-
22
-
-
0003568337
-
-
Springer-Verlag, New York, MR1214374 94b:60069
-
P.E. KLOEDEN, E. PLATEN, Numerical solution of stochastic differential equations, Applications of Mathematics, 23, Springer-Verlag, New York, 1992. MR1214374 (94b:60069)
-
(1992)
Numerical solution of stochastic differential equations, Applications of Mathematics
, vol.23
-
-
KLOEDEN, P.E.1
PLATEN, E.2
-
23
-
-
84966226768
-
Semidiscretization in Time for Parabolic Problems
-
MR528047 80f:65101
-
M.-N. LE ROUX, Semidiscretization in Time for Parabolic Problems, Math. Comput., 33 (1979), 919-931. MR528047 (80f:65101)
-
(1979)
Math. Comput
, vol.33
, pp. 919-931
-
-
LE ROUX, M.-N.1
-
24
-
-
85120507784
-
-
G. LORD, J. ROUGEMONT, A Numerical Scheme for stochastic PDEs with Gevrey Regularity, IMA J. Num. Anal., 24 (2004), 587-604. MR2094572 (2005d:60102)
-
G. LORD, J. ROUGEMONT, A Numerical Scheme for stochastic PDEs with Gevrey Regularity, IMA J. Num. Anal., 24 (2004), 587-604. MR2094572 (2005d:60102)
-
-
-
-
25
-
-
20344379438
-
-
A. MILLET, P.L. MORIEN, On implicit and explicit discretization schemes for parabolic SPDEs in any dimension, Stoch. Proc. and Appl. 115 (2005), no 7, 1073-1106. MR2147242 (2006b:60141)
-
A. MILLET, P.L. MORIEN, On implicit and explicit discretization schemes for parabolic SPDEs in any dimension, Stoch. Proc. and Appl. 115 (2005), no 7, 1073-1106. MR2147242 (2006b:60141)
-
-
-
-
26
-
-
0003722977
-
-
Kluwer Academic Publishers, Dordrrecht, MR1335454 96e:65003
-
G. N. MILSTEIN, Numerical integration of stochastic differential equations, Mathematics and its Applications, 313, Kluwer Academic Publishers, Dordrrecht, 1995. MR1335454 (96e:65003)
-
(1995)
Numerical integration of stochastic differential equations, Mathematics and its Applications
, vol.313
-
-
MILSTEIN, G.N.1
-
27
-
-
18144426862
-
Stochastic numerics for mathematical physics
-
Springer-Verlag, MR2069903 2005f:60004
-
G. N. MILSTEIN, M. V. TRETYAKOV, Stochastic numerics for mathematical physics, Scientific Computation series, Springer-Verlag, 2004. MR2069903 (2005f:60004)
-
(2004)
Scientific Computation series
-
-
MILSTEIN, G.N.1
TRETYAKOV, M.V.2
-
28
-
-
0035565493
-
-
J. PRINTEMS, On the discretization in time of parabolic stochastic partial differential equations, Math. Model. and Numer. Anal., 35 (2001), 1055-1078. MR1873517 (2002j:60116)
-
J. PRINTEMS, On the discretization in time of parabolic stochastic partial differential equations, Math. Model. and Numer. Anal., 35 (2001), 1055-1078. MR1873517 (2002j:60116)
-
-
-
-
29
-
-
0032676044
-
-
T. SHARDLOW, Numerical methods for stochastic parabolic PDEs, Numer. Funct. Anal. Optim., 20 (1999), 121-145. MR1683281 (2000g:65004)
-
T. SHARDLOW, Numerical methods for stochastic parabolic PDEs, Numer. Funct. Anal. Optim., 20 (1999), 121-145. MR1683281 (2000g:65004)
-
-
-
-
31
-
-
63049122686
-
-
D. TALAY, Probabilistic numerical methods for partial differential equations: elements of analysis, Probabilistic models for nonlinear partial differential equations (Montecatini Terme, 1995), 148-196, Lecture Notes in Math., 1627, Springer, Berlin, 1996. MR1431302 (98j:60092)
-
D. TALAY, Probabilistic numerical methods for partial differential equations: elements of analysis, Probabilistic models for nonlinear partial differential equations (Montecatini Terme, 1995), 148-196, Lecture Notes in Math., 1627, Springer, Berlin, 1996. MR1431302 (98j:60092)
-
-
-
-
33
-
-
33747184742
-
-
Y. YAN, Galerkin finite element methods for stochastic parabolic partial differential equations, SIAM J. Numer. Anal., 43 (2005), 1363-1384. MR2182132 (2007a:65013)
-
Y. YAN, Galerkin finite element methods for stochastic parabolic partial differential equations, SIAM J. Numer. Anal., 43 (2005), 1363-1384. MR2182132 (2007a:65013)
-
-
-
-
34
-
-
18244393447
-
-
Y. YAN, Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise, BIT 44 (2004), 829-847. MR2211047 (2007c:60065)
-
Y. YAN, Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise, BIT 44 (2004), 829-847. MR2211047 (2007c:60065)
-
-
-
-
35
-
-
21244455730
-
-
J.B. WALSH Finite element methods for parabolic stochastic PDE's, Potential Anal. 23 (2005), 1-43. MR2136207 (2006b:60155)
-
J.B. WALSH Finite element methods for parabolic stochastic PDE's, Potential Anal. 23 (2005), 1-43. MR2136207 (2006b:60155)
-
-
-
|