-
1
-
-
24344478923
-
Parallel PDE constrained optimization
-
M. Heroux, P. Raghaven, and H. Simon, eds., SIAM, Philadelphia
-
V. Akcelik, G. Biros, O. Ghattas, J. Hill, D. Keyes, and B. van Bloeman Waanders, Parallel PDE constrained optimization, in Parallel Processing for Scientific Computing, M. Heroux, P. Raghaven, and H. Simon, eds., SIAM, Philadelphia, 2006.
-
(2006)
Parallel Processing for Scientific Computing
-
-
Akcelik, V.1
Biros, G.2
Ghattas, O.3
Hill, J.4
Keyes, D.5
Van Bloeman Waanders, B.6
-
2
-
-
31844452105
-
Approximation errors and model reduction with an application in optical diffusion tomography
-
S. Arridge, J. Kaipio, V. Kolehmainen, M. Schweiger, E. Somersalo, T. Tarvainen, and M. Vauhkonen, Approximation errors and model reduction with an application in optical diffusion tomography, Inverse Problems, 22 (2006), pp. 175-195.
-
(2006)
Inverse Problems
, vol.22
, pp. 175-195
-
-
Arridge, S.1
Kaipio, J.2
Kolehmainen, V.3
Schweiger, M.4
Somersalo, E.5
Tarvainen, T.6
Vauhkonen, M.7
-
3
-
-
0035362767
-
Grid refinement and scaling for distributed parameter estimation problems
-
U. Ascher and E. Haber, Grid refinement and scaling for distributed parameter estimation problems, Inverse Problems, 17 (2001), pp. 571-590.
-
(2001)
Inverse Problems
, vol.17
, pp. 571-590
-
-
Ascher, U.1
Haber, E.2
-
4
-
-
34548216854
-
A stochastic collocation method for elliptic partial differential equations with random input data
-
I. Babuska, F. Nobile, and R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, SIAM J. Numer. Anal., 45 (2007), pp. 1005- 1034.
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 1005-1034
-
-
Babuska, I.1
Nobile, F.2
Tempone, R.3
-
5
-
-
55149091531
-
Model reduction for large-scale systems with high-dimensional parametric input space
-
T. Bui-Thanh, K. Willcox, and O. Ghattas, Model reduction for large-scale systems with high-dimensional parametric input space, SIAM J. Sci. Comput., 30 (2008), pp. 3270-3288.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, pp. 3270-3288
-
-
Bui-Thanh, T.1
Willcox, K.2
Ghattas, O.3
-
6
-
-
42149098447
-
Introduction to bayesian scientific computing: Ten lectures on subjective computing
-
Springer, New York
-
D. Calvetti and E. Somersalo, Introduction to Bayesian Scientific Computing: Ten Lectures on Subjective Computing, Surv. Tutor. Appl. Math. Sci. (2), Springer, New York, 2007.
-
(2007)
Surv. Tutor. Appl. Math. Sci.
, Issue.2
-
-
Calvetti, D.1
Somersalo, E.2
-
7
-
-
78449235493
-
A general-purpose sampling algorithm for continuous distributions (the t-walk)
-
J. Christen and C. Fox, A general-purpose sampling algorithm for continuous distributions (the t-walk), Bayesian Analysis, 5 (2010), pp. 263-282.
-
(2010)
Bayesian Analysis
, vol.5
, pp. 263-282
-
-
Christen, J.1
Fox, J.C.2
-
8
-
-
34249771074
-
On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds
-
T. Coleman and Y. Li, On the convergence of reflective Newton methods for large-scale nonlinear minimization subject to bounds, Math. Program., 67 (1994), pp. 189-224.
-
(1994)
Math. Program.
, vol.67
, pp. 189-224
-
-
Coleman, T.1
Li, Y.2
-
9
-
-
0030303844
-
An interior trust region approach for nonlinear minimization subject to bounds
-
T. Coleman and Y. Li, An interior trust region approach for nonlinear minimization subject to bounds, SIAM J. Optim., 6 (1996), pp. 418-445.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 418-445
-
-
Coleman, T.1
Li, Y.2
-
10
-
-
33947240401
-
Preconditioning Markov chain Monte Carlo simulations using coarse-scale models
-
Y. Efendiev, T. Hou, and W. Luo, Preconditioning Markov chain Monte Carlo simulations using coarse-scale models, SIAM J. Sci. Comput., 28 (2006), pp. 776-803.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, pp. 776-803
-
-
Efendiev, Y.1
Hou, T.2
Luo, W.3
-
11
-
-
33644511067
-
On directional metropolis-hastings algorithms
-
Springer, New York
-
J. Eidsvik and H. Tjelmeland, On Directional Metropolis-Hastings Algorithms, Statist. Comput. 16, Springer, New York, 2006, pp. 93-106.
-
(2006)
Statist. Comput.
, vol.16
, pp. 93-106
-
-
Eidsvik, J.1
Tjelmeland, H.2
-
14
-
-
84950453304
-
Sampling-based approaches to calculating marginal densities
-
A. Gelfand and A. Smith, Sampling-based approaches to calculating marginal densities, J. Amer. Statist. Assoc., 85 (1990), pp. 398-409.
-
(1990)
J. Amer. Statist. Assoc.
, vol.85
, pp. 398-409
-
-
Gelfand, A.1
Smith, A.2
-
15
-
-
84867086419
-
Prior distributions for variance parameters in hierarchical models
-
A. Gelman, Prior distributions for variance parameters in hierarchical models, Bayesian Anal., 1 (2006), pp. 515-533.
-
(2006)
Bayesian Anal.
, vol.1
, pp. 515-533
-
-
Gelman, A.1
-
16
-
-
34547943108
-
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
-
M. Grepl, Y. Maday, N. Nguyen, and A. Patera, Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations, M2AN Math. Model., 41 (2007), pp. 575-605.
-
(2007)
M2AN Math. Model.
, vol.41
, pp. 575-605
-
-
Grepl, M.1
Maday, Y.2
Nguyen, N.3
Patera, A.4
-
17
-
-
33750082644
-
DRAM: Efficient adaptive MCMC
-
Springer, New York
-
H. Haario, M. Laine, A. Mira, and E. Saksman, DRAM: Efficient Adaptive MCMC, Statist. Comput. 16, Springer, New York, 2006, pp. 339-354.
-
(2006)
Statist. Comput.
, vol.16
, pp. 339-354
-
-
Haario, H.1
Laine, M.2
Mira, A.3
Saksman, E.4
-
18
-
-
33746082065
-
Componentwise adaptation for high dimensional MCMC
-
H. Haario, E. Saksman, and J. Tamminen, Componentwise adaptation for high dimensional MCMC, Comput. Statist., 20 (2005), pp. 265-273.
-
(2005)
Comput. Statist.
, vol.20
, pp. 265-273
-
-
Haario, H.1
Saksman, E.2
Tamminen, J.3
-
19
-
-
77956890234
-
Monte Carlo sampling methods using Markov chains and their applications
-
W. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57 (1970), pp. 97-109.
-
(1970)
Biometrika
, vol.57
, pp. 97-109
-
-
Hastings, W.1
-
20
-
-
77149135213
-
-
Springer, New York
-
M. Hinze, R. Pinnau, M. Ulbrich, and S. Ulbrich, Optimization with PDE Constraints, Springer, New York, 2009.
-
(2009)
Optimization with PDE Constraints
-
-
Hinze, M.1
Pinnau, R.2
Ulbrich, M.3
Ulbrich, S.4
-
21
-
-
33750977082
-
Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control
-
P. Benner, D. Sorensen, and V. Mehrmann, eds., Springer, New York
-
M. Hinze and S. Volkwein, Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: Error estimates and suboptimal control, in Dimension Reduction of Large-Scale Systems, Vol.45, P. Benner, D. Sorensen, and V. Mehrmann, eds., Springer, New York, 2005, pp. 261-306.
-
(2005)
Dimension Reduction of Large-Scale Systems
, vol.45
, pp. 261-306
-
-
Hinze, M.1
Volkwein, S.2
-
22
-
-
0003851376
-
-
Cambridge University Press, London
-
P. Holmes, J. Lumley, and G. Berkooz, Turbulence, Coherent Structures, and Dynamical Systems and Symmetry, Cambridge University Press, London, 1996.
-
(1996)
Turbulence, Coherent Structures, and Dynamical Systems and Symmetry
-
-
Holmes, P.1
Lumley, J.2
Berkooz, G.3
-
23
-
-
77953863734
-
Lagrange multiplier approach to variational problems and applications
-
SIAM, Philadelphia
-
K. Ito and K. Kunisch, Lagrange Multiplier Approach to Variational Problems and Applications, Adv. Des. Control 15, SIAM, Philadelphia, 2008.
-
(2008)
Adv. Des. Control
, vol.15
-
-
Ito, K.1
Kunisch, K.2
-
24
-
-
0020187981
-
On the rationale of maximum-entropy methods
-
E. Jaynes, On the rationale of maximum-entropy methods, Proceedings of the IEEE, 70 (2006), pp. 939-952.
-
(2006)
Proceedings of the IEEE
, vol.70
, pp. 939-952
-
-
Jaynes, E.1
-
25
-
-
84860523889
-
Statistical and computational inverse problems
-
Springer, New York
-
J. Kaipio and E. Somersalo, Statistical and Computational Inverse Problems, Appl. Math. Sci. 160, Springer, New York, 2005.
-
(2005)
Appl. Math. Sci.
, vol.160
-
-
Kaipio, J.1
Somersalo, E.2
-
26
-
-
78149329566
-
-
Master's thesis, Massachusetts Institute of Technology, School of Engineering, Cambridge, MA
-
C. Lieberman, Parameter and State Model Reduction for Bayesian Statistical Inverse Problems, Master's thesis, Massachusetts Institute of Technology, School of Engineering, Cambridge, MA, 2009.
-
(2009)
Parameter and State Model Reduction for Bayesian Statistical Inverse Problems
-
-
Lieberman, C.1
-
27
-
-
0001789822
-
Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes
-
J. Liu, W. Wong, and A. Kong, Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes, Biometrika, 81 (1994), pp. 27-40.
-
(1994)
Biometrika
, vol.81
, pp. 27-40
-
-
Liu, J.1
Wong, W.2
Kong, A.3
-
28
-
-
34248523110
-
Stochastic spectral methods for efficient Bayesian solution of inverse problems
-
Y. Marzouk, H. Najm, and L. Rahn, Stochastic spectral methods for efficient Bayesian solution of inverse problems, J. Comput. Phys., 224 (2007), pp. 560-586.
-
(2007)
J. Comput. Phys.
, vol.224
, pp. 560-586
-
-
Marzouk, Y.1
Najm, H.2
Rahn, L.3
-
29
-
-
59149084494
-
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
-
Y. Marzouk and H. Najm, Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems, J. Comput. Phys., 228 (2009), pp. 1862-1902.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 1862-1902
-
-
Marzouk, Y.1
Najm, H.2
-
30
-
-
5744249209
-
Equations of state calculations by fast computing machines
-
N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, Equations of state calculations by fast computing machines, J. Chem. Phys., 21 (1953), pp. 1087-1092.
-
(1953)
J. Chem. Phys.
, vol.21
, pp. 1087-1092
-
-
Metropolis, N.1
Rosenbluth, A.2
Rosenbluth, M.3
Teller, A.4
Teller, E.5
-
31
-
-
84885507667
-
Reduced basis approximation and a posteriori error estimation for parametrized parabolic PDEs; Application to real-time Bayesian parameter estimation
-
L. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, D. Keyes, B. Mallick, Y. Marzouk, L. Tenorio, B. van Bloemen Waanders, and K. Willcox, eds., Wiley, New York
-
N. Nguyen, G. Rozza, D. Huynh, and A. Patera, Reduced basis approximation and a posteriori error estimation for parametrized parabolic PDEs; Application to real-time Bayesian parameter estimation, in Computational Methods for Large-Scale Inverse Problems and Quantification of Uncertainty, L. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, D. Keyes, B. Mallick, Y. Marzouk, L. Tenorio, B. van Bloemen Waanders, and K. Willcox, eds., Wiley, New York, 2010.
-
(2010)
Computational Methods for Large-Scale Inverse Problems and Quantification of Uncertainty
-
-
Nguyen, N.1
Rozza, G.2
Huynh, D.3
Patera, A.4
-
32
-
-
85003373847
-
Reduced basis technique for collapse analysis of shells
-
A. Noor, C. Andersen, and J. Peters, Reduced basis technique for collapse analysis of shells, AIAA J., 19 (1981), pp. 393-397.
-
(1981)
AIAA J.
, vol.19
, pp. 393-397
-
-
Noor, A.1
Andersen, C.2
Peters, J.3
-
33
-
-
0013037129
-
Optimal scaling for various metropolis-hastings algorithms
-
G. Roberts and J. Rosenthal, Optimal scaling for various Metropolis-Hastings algorithms, Statist. Sci., 16 (2001), pp. 351-367.
-
(2001)
Statist. Sci.
, vol.16
, pp. 351-367
-
-
Roberts, G.1
Rosenthal, J.2
-
34
-
-
0000246863
-
Turbulence and the dynamics of coherent structures. Part 1: Coherent structures
-
L. Sirovich, Turbulence and the dynamics of coherent structures. Part 1: Coherent structures, Quart. Appl. Math., 45 (1987), pp. 561-571.
-
(1987)
Quart. Appl. Math.
, vol.45
, pp. 561-571
-
-
Sirovich, L.1
-
35
-
-
33646717660
-
Inverse problem theory and methods for model parameter estimation
-
Philadelphia
-
A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation, SIAM, Philadelphia, 2005.
-
(2005)
SIAM
-
-
Tarantola, A.1
-
36
-
-
85088184409
-
A posteriori error bounds for reducedbasis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations
-
Orlando, FL
-
K. Veroy, C. Prud'homme, D. Rovas, and A. Patera, A posteriori error bounds for reducedbasis approximation of parametrized noncoercive and nonlinear elliptic partial differential equations, in Proceedings of the 16th AIAA Computational Fluid Dynamics Conference, Orlando, FL, 2003.
-
(2003)
Proceedings of the 16th AIAA Computational Fluid Dynamics Conference
-
-
Veroy, K.1
Prud'homme, C.2
Rovas, D.3
Patera, A.4
-
37
-
-
9244244173
-
Using Bayesian statistics in the estimation of heat source in radiation
-
J. Wang and N. Zabaras, Using Bayesian statistics in the estimation of heat source in radiation, Internat. J. Heat Mass Transfer, 48 (2004), pp. 15-29.
-
(2004)
Internat. J. Heat Mass Transfer
, vol.48
, pp. 15-29
-
-
Wang, J.1
Zabaras, N.2
|