Castrillón-Candás, Julio E.; Xu, Jie A stochastic collocation approach for parabolic PDEs with random domain deformations. (English) Zbl 07351708 Comput. Math. Appl. 93, 32-49 (2021). MSC: 65 60 PDF BibTeX XML Cite \textit{J. E. Castrillón-Candás} and \textit{J. Xu}, Comput. Math. Appl. 93, 32--49 (2021; Zbl 07351708) Full Text: DOI
Zhu, Xiaozhi; Zhang, Yong-Tao Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs. (English) Zbl 07342456 J. Sci. Comput. 87, No. 2, Paper No. 44, 38 p. (2021). MSC: 65 35L 65M PDF BibTeX XML Cite \textit{X. Zhu} and \textit{Y.-T. Zhang}, J. Sci. Comput. 87, No. 2, Paper No. 44, 38 p. (2021; Zbl 07342456) Full Text: DOI
Ehrlacher, Virginie; Lombardi, Damiano; Mula, Olga; Vialard, François-Xavier Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. (English) Zbl 07357924 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159-2197 (2020). MSC: 65M12 65M22 65D40 PDF BibTeX XML Cite \textit{V. Ehrlacher} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159--2197 (2020; Zbl 07357924) Full Text: DOI
Rieger, Christian; Wendland, Holger Sampling inequalities for anisotropic tensor product grids. (English) Zbl 07330020 IMA J. Numer. Anal. 40, No. 1, 285-321 (2020). MSC: 65D 41A63 41A30 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{H. Wendland}, IMA J. Numer. Anal. 40, No. 1, 285--321 (2020; Zbl 07330020) Full Text: DOI
Keshavarzzadeh, Vahid; Kirby, Robert M.; Narayan, Akil Generation of nested quadrature rules for generic weight functions via numerical optimization: application to sparse grids. (English) Zbl 1453.65053 J. Comput. Phys. 400, Article ID 108979, 22 p. (2020). MSC: 65D32 65K10 65M60 PDF BibTeX XML Cite \textit{V. Keshavarzzadeh} et al., J. Comput. Phys. 400, Article ID 108979, 22 p. (2020; Zbl 1453.65053) Full Text: DOI
Bayer, Christian; Ben Hammouda, Chiheb; Tempone, Raúl Hierarchical adaptive sparse grids and quasi-Monte Carlo for option pricing under the rough Bergomi model. (English) Zbl 1454.91359 Quant. Finance 20, No. 9, 1457-1473 (2020). MSC: 91G60 91G20 65C05 65D30 65D32 PDF BibTeX XML Cite \textit{C. Bayer} et al., Quant. Finance 20, No. 9, 1457--1473 (2020; Zbl 1454.91359) Full Text: DOI
Valentin, Julian; Hübner, Daniel; Stingl, Michael; Pflüger, Dirk Gradient-based two-scale topology optimization with B-splines on sparse grids. (English) Zbl 1452.65030 SIAM J. Sci. Comput. 42, No. 4, B1092-B1114 (2020). MSC: 65D05 65D07 74P05 74P15 PDF BibTeX XML Cite \textit{J. Valentin} et al., SIAM J. Sci. Comput. 42, No. 4, B1092--B1114 (2020; Zbl 1452.65030) Full Text: DOI
Huang, Juntao; Cheng, Yingda An adaptive multiresolution discontinuous Galerkin method with artificial viscosity for scalar hyperbolic conservation laws in multidimensions. (English) Zbl 1451.65147 SIAM J. Sci. Comput. 42, No. 5, A2943-A2973 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65T60 65L06 PDF BibTeX XML Cite \textit{J. Huang} and \textit{Y. Cheng}, SIAM J. Sci. Comput. 42, No. 5, A2943--A2973 (2020; Zbl 1451.65147) Full Text: DOI
Ushirobira, Rosane; Korporal, Anja; Perruquetti, Wilfrid Algebraic estimation in partial derivatives systems: parameters and differentiation problems. (English) Zbl 1448.65021 Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 183-200 (2020). MSC: 65D25 65D40 PDF BibTeX XML Cite \textit{R. Ushirobira} et al., Adv. Delays Dyn. 9, 183--200 (2020; Zbl 1448.65021) Full Text: DOI
Farcaş, Ionuţ-Gabriel; Görler, Tobias; Bungartz, Hans-Joachim; Jenko, Frank; Neckel, Tobias Sensitivity-driven adaptive sparse stochastic approximations in plasma microinstability analysis. (English) Zbl 1436.65024 J. Comput. Phys. 410, Article ID 109394, 23 p. (2020). MSC: 65D40 65C20 82D10 PDF BibTeX XML Cite \textit{I.-G. Farcaş} et al., J. Comput. Phys. 410, Article ID 109394, 23 p. (2020; Zbl 1436.65024) Full Text: DOI
Che, Maolin; Wei, Yimin; Yan, Hong The computation of low multilinear rank approximations of tensors via power scheme and random projection. (English) Zbl 07206106 SIAM J. Matrix Anal. Appl. 41, No. 2, 605-636 (2020). MSC: 65D15 15A18 15A69 65F15 65F10 65D40 68W20 PDF BibTeX XML Cite \textit{M. Che} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 605--636 (2020; Zbl 07206106) Full Text: DOI
Bhosekar, Atharv; Ierapetritou, Marianthi A discontinuous derivative-free optimization framework for multi-enterprise supply chain. (English) Zbl 1444.90118 Optim. Lett. 14, No. 4, 959-988 (2020). MSC: 90C56 90C90 PDF BibTeX XML Cite \textit{A. Bhosekar} and \textit{M. Ierapetritou}, Optim. Lett. 14, No. 4, 959--988 (2020; Zbl 1444.90118) Full Text: DOI
Castrillón-Candás, Julio E.; Kon, Mark Analytic regularity and stochastic collocation of high-dimensional Newton iterates. (English) Zbl 07198855 Adv. Comput. Math. 46, No. 3, Paper No. 42, 33 p. (2020). MSC: 65H10 60H35 PDF BibTeX XML Cite \textit{J. E. Castrillón-Candás} and \textit{M. Kon}, Adv. Comput. Math. 46, No. 3, Paper No. 42, 33 p. (2020; Zbl 07198855) Full Text: DOI
Farcaş, I.-G.; Latz, J.; Ullmann, E.; Neckel, T.; Bungartz, H.-J. Multilevel adaptive sparse Leja approximations for Bayesian inverse problems. (English) Zbl 1432.35250 SIAM J. Sci. Comput. 42, No. 1, A424-A451 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 35R30 65D30 35J25 62F15 65N30 68T05 62-08 PDF BibTeX XML Cite \textit{I. G. Farcaş} et al., SIAM J. Sci. Comput. 42, No. 1, A424--A451 (2020; Zbl 1432.35250) Full Text: DOI
Alsayyari, Fahad; Perkó, Zoltán; Lathouwers, Danny; Kloosterman, Jan Leen A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English) Zbl 1453.65029 J. Comput. Phys. 399, Article ID 108912, 25 p. (2019). MSC: 65D05 82D75 PDF BibTeX XML Cite \textit{F. Alsayyari} et al., J. Comput. Phys. 399, Article ID 108912, 25 p. (2019; Zbl 1453.65029) Full Text: DOI
Chernov, Alexey; Reinarz, Anne Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation. (English) Zbl 1443.65181 Comput. Math. Appl. 78, No. 11, 3605-3619 (2019). MSC: 65M38 PDF BibTeX XML Cite \textit{A. Chernov} and \textit{A. Reinarz}, Comput. Math. Appl. 78, No. 11, 3605--3619 (2019; Zbl 1443.65181) Full Text: DOI
Wu, Yuanqing; Ye, Maoqing A parallel sparse grid construction algorithm based on the shared memory architecture and its application to flash calculations. (English) Zbl 1442.65421 Comput. Math. Appl. 77, No. 8, 2114-2129 (2019). MSC: 65N50 65Y05 68W10 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{M. Ye}, Comput. Math. Appl. 77, No. 8, 2114--2129 (2019; Zbl 1442.65421) Full Text: DOI
Beck, Joakim; Tamellini, Lorenzo; Tempone, Raúl IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains. (English) Zbl 1441.65092 Comput. Methods Appl. Mech. Eng. 351, 330-350 (2019). MSC: 65N30 65D07 65N75 PDF BibTeX XML Cite \textit{J. Beck} et al., Comput. Methods Appl. Mech. Eng. 351, 330--350 (2019; Zbl 1441.65092) Full Text: DOI
Marshall, Nicholas F. Approximating mixed Hölder functions using random samples. (English) Zbl 07155064 Ann. Appl. Probab. 29, No. 5, 2988-3005 (2019). MSC: 41A63 26B35 42B35 60G42 PDF BibTeX XML Cite \textit{N. F. Marshall}, Ann. Appl. Probab. 29, No. 5, 2988--3005 (2019; Zbl 07155064) Full Text: DOI
Huang, Ruihao; Mu, Lin A new fast method of solving the high dimensional elliptic eigenvalue problem. (English) Zbl 1429.65271 Appl. Math. Comput. 356, 338-346 (2019). MSC: 65N25 65N30 PDF BibTeX XML Cite \textit{R. Huang} and \textit{L. Mu}, Appl. Math. Comput. 356, 338--346 (2019; Zbl 1429.65271) Full Text: DOI
Griebel, Michael; Harbrecht, Helmut Singular value decomposition versus sparse grids: refined complexity estimates. (English) Zbl 07130803 IMA J. Numer. Anal. 39, No. 4, 1652-1671 (2019). MSC: 65 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{H. Harbrecht}, IMA J. Numer. Anal. 39, No. 4, 1652--1671 (2019; Zbl 07130803) Full Text: DOI
Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. An efficient, globally convergent method for optimization under uncertainty using adaptive model reduction and sparse grids. (English) Zbl 1448.65057 SIAM/ASA J. Uncertain. Quantif. 7, 877-912 (2019). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65K10 65D40 65K05 90C15 65N35 65M15 65M22 PDF BibTeX XML Cite \textit{M. J. Zahr} et al., SIAM/ASA J. Uncertain. Quantif. 7, 877--912 (2019; Zbl 1448.65057) Full Text: DOI arXiv
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph Tensor FEM for spectral fractional diffusion. (English) Zbl 1429.65272 Found. Comput. Math. 19, No. 4, 901-962 (2019). MSC: 65N30 35J25 35R11 65N12 PDF BibTeX XML Cite \textit{L. Banjai} et al., Found. Comput. Math. 19, No. 4, 901--962 (2019; Zbl 1429.65272) Full Text: DOI
Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. (English) Zbl 1414.76058 Comput. Geosci. 23, No. 2, 339-354 (2019). MSC: 76S05 60H35 62P30 76T10 PDF BibTeX XML Cite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 339--354 (2019; Zbl 1414.76058) Full Text: DOI
Schwab, Christoph; Zech, Jakob Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. (English) Zbl 07007693 Anal. Appl., Singap. 17, No. 1, 19-55 (2019). MSC: 68Q32 41A25 41A46 35R60 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{J. Zech}, Anal. Appl., Singap. 17, No. 1, 19--55 (2019; Zbl 07007693) Full Text: DOI
Dong, Zhaonan; Georgoulis, Emmanuil H.; Levesley, Jeremy; Usta, Fuat A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. (English) Zbl 1442.65365 Comput. Math. Appl. 76, No. 8, 1950-1965 (2018). MSC: 65N30 65N75 35R60 PDF BibTeX XML Cite \textit{Z. Dong} et al., Comput. Math. Appl. 76, No. 8, 1950--1965 (2018; Zbl 1442.65365) Full Text: DOI
Beck, Joakim; Sangalli, Giancarlo; Tamellini, Lorenzo A sparse-grid isogeometric solver. (English) Zbl 1440.65179 Comput. Methods Appl. Mech. Eng. 335, 128-151 (2018). MSC: 65N30 65D07 65N22 65N50 PDF BibTeX XML Cite \textit{J. Beck} et al., Comput. Methods Appl. Mech. Eng. 335, 128--151 (2018; Zbl 1440.65179) Full Text: DOI
Colombo, Ivo; Nobile, Fabio; Porta, Giovanni; Scotti, Anna; Tamellini, Lorenzo Uncertainty quantification of geochemical and mechanical compaction in layered sedimentary basins. (English) Zbl 1439.74400 Comput. Methods Appl. Mech. Eng. 328, 122-146 (2018). MSC: 74S05 74L10 65N75 60-08 65N30 PDF BibTeX XML Cite \textit{I. Colombo} et al., Comput. Methods Appl. Mech. Eng. 328, 122--146 (2018; Zbl 1439.74400) Full Text: DOI
Chen, Shanqin; Lu, Dong; Zhang, Yong-Tao Third order WENO scheme on sparse grids for hyperbolic equations. (English) Zbl 1422.65148 Pure Appl. Math. Q. 14, No. 1, 57-86 (2018). MSC: 65M06 65M70 65D05 65L06 65M50 35L02 PDF BibTeX XML Cite \textit{S. Chen} et al., Pure Appl. Math. Q. 14, No. 1, 57--86 (2018; Zbl 1422.65148) Full Text: DOI
Rüttgers, A.; Griebel, M. Multiscale simulation of polymeric fluids using the sparse grid combination technique. (English) Zbl 1426.76418 Appl. Math. Comput. 319, 425-443 (2018). MSC: 76M12 76A05 65M06 PDF BibTeX XML Cite \textit{A. Rüttgers} and \textit{M. Griebel}, Appl. Math. Comput. 319, 425--443 (2018; Zbl 1426.76418) Full Text: DOI
López-Salas, José G.; Vázquez, Carlos PDE formulation of some SABR/LIBOR market models and its numerical solution with a sparse grid combination technique. (English) Zbl 1409.91277 Comput. Math. Appl. 75, No. 5, 1616-1634 (2018). MSC: 91G60 65M06 PDF BibTeX XML Cite \textit{J. G. López-Salas} and \textit{C. Vázquez}, Comput. Math. Appl. 75, No. 5, 1616--1634 (2018; Zbl 1409.91277) Full Text: DOI
Hu, Jingwei; Jin, Shi; Shu, Ruiwen A stochastic Galerkin method for the Fokker-Planck-Landau equation with random uncertainties. (English) Zbl 1412.65142 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 1-19 (2018). MSC: 65M60 35Q84 82C31 35Q20 65C30 65M70 65F20 65F50 65L06 35R60 PDF BibTeX XML Cite \textit{J. Hu} et al., Springer Proc. Math. Stat. 237, 1--19 (2018; Zbl 1412.65142) Full Text: DOI
Giles, Michael B.; Kuo, Frances Y.; Sloan, Ian H. Combining sparse grids, multilevel MC and QMC for elliptic PDEs with random coefficients. (English) Zbl 1412.65210 Owen, Art B. (ed.) et al., Monte Carlo and quasi-Monte Carlo methods, MCQMC 2016. Proceedings of the 12th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Stanford, CA, August 14–19, 2016. Cham: Springer. Springer Proc. Math. Stat. 241, 265-281 (2018). MSC: 65N30 65C05 35R60 35J15 PDF BibTeX XML Cite \textit{M. B. Giles} et al., Springer Proc. Math. Stat. 241, 265--281 (2018; Zbl 1412.65210) Full Text: DOI arXiv
Garcke, Jochen; Kalmykov, Ilja Efficient higher order time discretization schemes for Hamilton-Jacobi-Bellman equations based on diagonally implicit symplectic Runge-Kutta methods. (English) Zbl 1405.49019 Kalise, Dante (ed.) et al., Hamilton-Jacobi-Bellman equations. Numerical methods and applications in optimal control. Based on the workshop “Numerical methods for Hamilton-Jacobi equations in optimal control and related fields”, Linz, Austria, November 21–25, 2016. Berlin: De Gruyter (ISBN 978-3-11-054263-9/hbk; 978-3-11-054359-9/ebook). Radon Series on Computational and Applied Mathematics 21, 97-128 (2018). MSC: 49M25 49L20 90C39 65L06 49K20 PDF BibTeX XML Cite \textit{J. Garcke} and \textit{I. Kalmykov}, Radon Ser. Comput. Appl. Math. 21, 97--128 (2018; Zbl 1405.49019) Full Text: DOI
Bayer, Christian; Siebenmorgen, Markus; Tempone, Raul Smoothing the payoff for efficient computation of basket option prices. (English) Zbl 1400.91649 Quant. Finance 18, No. 3, 491-505 (2018). MSC: 91G60 91G20 91-04 PDF BibTeX XML Cite \textit{C. Bayer} et al., Quant. Finance 18, No. 3, 491--505 (2018; Zbl 1400.91649) Full Text: DOI arXiv
Butler, T.; Jakeman, J.; Wildey, T. Convergence of probability densities using approximate models for forward and inverse problems in uncertainty quantification. (English) Zbl 1433.60068 SIAM J. Sci. Comput. 40, No. 5, A3523-A3548 (2018). MSC: 60H30 60B10 65D40 PDF BibTeX XML Cite \textit{T. Butler} et al., SIAM J. Sci. Comput. 40, No. 5, A3523--A3548 (2018; Zbl 1433.60068) Full Text: DOI
Chen, Peng Sparse quadrature for high-dimensional integration with Gaussian measure. (English) Zbl 06966736 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 631-657 (2018). MSC: 65C20 65D30 65D32 65N12 65N15 65N21 PDF BibTeX XML Cite \textit{P. Chen}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 631--657 (2018; Zbl 06966736) Full Text: DOI
Gilbert, Alexander D.; Kuo, Frances Y.; Nuyens, Dirk; Wasilkowski, Grzegorz W. Efficient implementations of the multivariate decomposition method for approximating infinite-variate integrals. (English) Zbl 1401.65028 SIAM J. Sci. Comput. 40, No. 5, A3240-A3266 (2018). MSC: 65D30 PDF BibTeX XML Cite \textit{A. D. Gilbert} et al., SIAM J. Sci. Comput. 40, No. 5, A3240--A3266 (2018; Zbl 1401.65028) Full Text: DOI arXiv
Kieslich, Chris A.; Boukouvala, Fani; Floudas, Christodoulos A. Optimization of black-box problems using Smolyak grids and polynomial approximations. (English) Zbl 1405.90107 J. Glob. Optim. 71, No. 4, 845-869 (2018). MSC: 90C26 PDF BibTeX XML Cite \textit{C. A. Kieslich} et al., J. Glob. Optim. 71, No. 4, 845--869 (2018; Zbl 1405.90107) Full Text: DOI
Huang, Baohua; Ma, Changfeng An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations. (English) Zbl 1445.15010 Numer. Algorithms 78, No. 4, 1271-1301 (2018). Reviewer: John D. Dixon (Ottawa) MSC: 15A24 65F45 65D40 PDF BibTeX XML Cite \textit{B. Huang} and \textit{C. Ma}, Numer. Algorithms 78, No. 4, 1271--1301 (2018; Zbl 1445.15010) Full Text: DOI
Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M. Novel results for the anisotropic sparse grid quadrature. (English) Zbl 1458.65021 J. Complexity 47, 62-85 (2018). MSC: 65D30 41A55 65Y20 65D40 PDF BibTeX XML Cite \textit{A. L. Haji-Ali} et al., J. Complexity 47, 62--85 (2018; Zbl 1458.65021) Full Text: DOI
Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo Convergence of sparse collocation for functions of countably many Gaussian random variables (with application to elliptic PDEs). (English) Zbl 06864017 SIAM J. Numer. Anal. 56, No. 2, 877-905 (2018). MSC: 65D05 65D15 65C30 60H25 PDF BibTeX XML Cite \textit{O. G. Ernst} et al., SIAM J. Numer. Anal. 56, No. 2, 877--905 (2018; Zbl 06864017) Full Text: DOI
Usta, Fuat; Levesley, Jeremy Multilevel quasi-interpolation on a sparse grid with the Gaussian. (English) Zbl 1392.65073 Numer. Algorithms 77, No. 3, 793-808 (2018). MSC: 65F10 65N55 65N22 65D32 PDF BibTeX XML Cite \textit{F. Usta} and \textit{J. Levesley}, Numer. Algorithms 77, No. 3, 793--808 (2018; Zbl 1392.65073) Full Text: DOI
Farcas, Ionut-Gabriel; Uekermann, Benjamin; Neckel, Tobias; Bungartz, Hans-Joachim Nonintrusive uncertainty analysis of fluid-structure interaction with spatially adaptive sparse grids and polynomial chaos expansion. (English) Zbl 1395.74091 SIAM J. Sci. Comput. 40, No. 2, B457-B482 (2018). MSC: 74S60 60H35 65M75 65Y05 68W10 74F10 76D05 65C20 PDF BibTeX XML Cite \textit{I.-G. Farcas} et al., SIAM J. Sci. Comput. 40, No. 2, B457--B482 (2018; Zbl 1395.74091) Full Text: DOI
Karvonen, Toni; Särkkä, Simo Fully symmetric kernel quadrature. (English) Zbl 1385.65024 SIAM J. Sci. Comput. 40, No. 2, A697-A720 (2018). MSC: 65D32 41A55 46E22 PDF BibTeX XML Cite \textit{T. Karvonen} and \textit{S. Särkkä}, SIAM J. Sci. Comput. 40, No. 2, A697--A720 (2018; Zbl 1385.65024) Full Text: DOI arXiv
Brumm, Johannes; Scheidegger, Simon Using adaptive sparse grids to solve high-dimensional dynamic models. (English) Zbl 1420.91258 Econometrica 85, No. 5, 1575-1612 (2017). MSC: 91B55 91B70 PDF BibTeX XML Cite \textit{J. Brumm} and \textit{S. Scheidegger}, Econometrica 85, No. 5, 1575--1612 (2017; Zbl 1420.91258) Full Text: DOI
Hendricks, Christian; Ehrhardt, Matthias; Gunther, Michael Error splitting preservation for high order finite difference schemes in the combination technique. (English) Zbl 1399.65295 Numer. Math., Theory Methods Appl. 10, No. 3, 689-710 (2017). MSC: 65N06 65D05 PDF BibTeX XML Cite \textit{C. Hendricks} et al., Numer. Math., Theory Methods Appl. 10, No. 3, 689--710 (2017; Zbl 1399.65295) Full Text: DOI
Rong, Zhijian; Shen, Jie; Yu, Haijun A nodal sparse grid spectral element method for multi-dimensional elliptic partial differential equations. (English) Zbl 1429.65287 Int. J. Numer. Anal. Model. 14, No. 4-5, 762-783 (2017). MSC: 65N35 65D40 65N15 PDF BibTeX XML Cite \textit{Z. Rong} et al., Int. J. Numer. Anal. Model. 14, No. 4--5, 762--783 (2017; Zbl 1429.65287) Full Text: Link
Liao, Qinzhuo; Zhang, Dongxiao; Tchelepi, Hamdi A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media. (English) Zbl 1378.76109 J. Comput. Phys. 330, 828-845 (2017). MSC: 76S05 76T99 65M70 65M75 PDF BibTeX XML Cite \textit{Q. Liao} et al., J. Comput. Phys. 330, 828--845 (2017; Zbl 1378.76109) Full Text: DOI
Guo, Wei; Cheng, Yingda An adaptive multiresolution discontinuous Galerkin method for time-dependent transport equations in multidimensions. (English) Zbl 1379.65077 SIAM J. Sci. Comput. 39, No. 6, A2962-A2992 (2017). MSC: 65M60 65T60 35L02 35Q82 PDF BibTeX XML Cite \textit{W. Guo} and \textit{Y. Cheng}, SIAM J. Sci. Comput. 39, No. 6, A2962--A2992 (2017; Zbl 1379.65077) Full Text: DOI
Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance. (English) Zbl 1375.65113 J. Comput. Appl. Math. 316, 175-194 (2017). MSC: 65M06 35K20 65M50 91G60 PDF BibTeX XML Cite \textit{C. Hendricks} et al., J. Comput. Appl. Math. 316, 175--194 (2017; Zbl 1375.65113) Full Text: DOI
Trefethen, Lloyd N. Cubature, approximation, and isotropy in the hypercube. (English) Zbl 1406.41011 SIAM Rev. 59, No. 3, 469-491 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 65D32 65Y20 PDF BibTeX XML Cite \textit{L. N. Trefethen}, SIAM Rev. 59, No. 3, 469--491 (2017; Zbl 1406.41011) Full Text: DOI
Bohn, Bastian; Griebel, Michael Error estimates for multivariate regression on discretized function spaces. (English) Zbl 1403.62058 SIAM J. Numer. Anal. 55, No. 4, 1843-1866 (2017). MSC: 62G08 41A25 41A63 62H12 68T05 PDF BibTeX XML Cite \textit{B. Bohn} and \textit{M. Griebel}, SIAM J. Numer. Anal. 55, No. 4, 1843--1866 (2017; Zbl 1403.62058) Full Text: DOI
Rieger, Christian; Wendland, Holger Sampling inequalities for sparse grids. (English) Zbl 1416.65058 Numer. Math. 136, No. 2, 439-466 (2017). Reviewer: Nicoleta Breaz (Alba Iulia) MSC: 65D10 65D07 41A25 41A63 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{H. Wendland}, Numer. Math. 136, No. 2, 439--466 (2017; Zbl 1416.65058) Full Text: DOI
Russell, Stephen; Madden, Niall An introduction to the analysis and implementation of sparse grid finite element methods. (English) Zbl 1367.65153 Comput. Methods Appl. Math. 17, No. 2, 299-322 (2017). MSC: 65N30 65N15 65Y20 PDF BibTeX XML Cite \textit{S. Russell} and \textit{N. Madden}, Comput. Methods Appl. Math. 17, No. 2, 299--322 (2017; Zbl 1367.65153) Full Text: DOI arXiv
Lee, Hyung-Chun; Nam, Yun Sparse grid stochastic collocation method for stochastic Burgers equation. (English) Zbl 1361.65004 J. Korean Math. Soc. 54, No. 1, 193-213 (2017). MSC: 65C30 60H15 60H35 35R60 35Q53 65M70 65M60 PDF BibTeX XML Cite \textit{H.-C. Lee} and \textit{Y. Nam}, J. Korean Math. Soc. 54, No. 1, 193--213 (2017; Zbl 1361.65004) Full Text: DOI Link
Garcke, Jochen; Kröner, Axel Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids. (English) Zbl 1434.49020 J. Sci. Comput. 70, No. 1, 1-28 (2017). MSC: 49K20 49L20 49N35 65K05 65M20 PDF BibTeX XML Cite \textit{J. Garcke} and \textit{A. Kröner}, J. Sci. Comput. 70, No. 1, 1--28 (2017; Zbl 1434.49020) Full Text: DOI
Stoyanov, Miroslav K.; Webster, Clayton G. A dynamically adaptive sparse grids method for quasi-optimal interpolation of multidimensional functions. (English) Zbl 1443.65010 Comput. Math. Appl. 71, No. 11, 2449-2465 (2016). MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{M. K. Stoyanov} and \textit{C. G. Webster}, Comput. Math. Appl. 71, No. 11, 2449--2465 (2016; Zbl 1443.65010) Full Text: DOI
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F. Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations. (English) Zbl 1443.65316 Comput. Math. Appl. 71, No. 6, 1173-1197 (2016). MSC: 65N30 65N75 35J25 35R60 PDF BibTeX XML Cite \textit{J. E. Castrillón-Candás} et al., Comput. Math. Appl. 71, No. 6, 1173--1197 (2016; Zbl 1443.65316) Full Text: DOI
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl Multi-index stochastic collocation for random PDEs. (English) Zbl 1436.65196 Comput. Methods Appl. Mech. Eng. 306, 95-122 (2016). MSC: 65N35 65C30 41A10 65C05 65N75 PDF BibTeX XML Cite \textit{A.-L. Haji-Ali} et al., Comput. Methods Appl. Mech. Eng. 306, 95--122 (2016; Zbl 1436.65196) Full Text: DOI
Winokur, J.; Kim, D.; Bisetti, F.; Le Maître, O. P.; Knio, O. M. Sparse pseudo spectral projection methods with directional adaptation for uncertainty quantification. (English) Zbl 1371.65015 J. Sci. Comput. 68, No. 2, 596-623 (2016). MSC: 65C60 62K05 62F10 PDF BibTeX XML Cite \textit{J. Winokur} et al., J. Sci. Comput. 68, No. 2, 596--623 (2016; Zbl 1371.65015) Full Text: DOI
Kersey, Scott N. A dual basis for discrete polynomial blending. (English) Zbl 1370.41007 Int. J. Numer. Methods Appl. 15, No. 4, 267-303 (2016). MSC: 41A05 41A10 41A15 65D05 65D07 PDF BibTeX XML Cite \textit{S. N. Kersey}, Int. J. Numer. Methods Appl. 15, No. 4, 267--303 (2016; Zbl 1370.41007) Full Text: DOI Link
Lu, Dong; Zhang, Yong-Tao Krylov integration factor method on sparse grids for high spatial dimension convection-diffusion equations. (English) Zbl 1370.65045 J. Sci. Comput. 69, No. 2, 736-763 (2016). MSC: 65M20 35K57 65M06 65M50 35Q84 65Y20 PDF BibTeX XML Cite \textit{D. Lu} and \textit{Y.-T. Zhang}, J. Sci. Comput. 69, No. 2, 736--763 (2016; Zbl 1370.65045) Full Text: DOI
Dũng, Dinh Sampling and cubature on sparse grids based on a B-spline quasi-interpolation. (English) Zbl 1359.41001 Found. Comput. Math. 16, No. 5, 1193-1240 (2016). MSC: 41A15 41A05 41A25 41A58 41A63 PDF BibTeX XML Cite \textit{D. Dũng}, Found. Comput. Math. 16, No. 5, 1193--1240 (2016; Zbl 1359.41001) Full Text: DOI
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl Multi-index stochastic collocation convergence rates for random PDEs with parametric regularity. (English) Zbl 1371.65009 Found. Comput. Math. 16, No. 6, 1555-1605 (2016). Reviewer: Jaromír Antoch (Praha) MSC: 65C30 60H15 35R60 60H35 35J25 65N35 PDF BibTeX XML Cite \textit{A.-L. Haji-Ali} et al., Found. Comput. Math. 16, No. 6, 1555--1605 (2016; Zbl 1371.65009) Full Text: DOI arXiv
Resmini, A.; Peter, J.; Lucor, D. Sparse grids-based stochastic approximations with applications to aerodynamics sensitivity analysis. (English) Zbl 1352.76093 Int. J. Numer. Methods Eng. 106, No. 1, 32-57 (2016). MSC: 76M25 65N75 76G25 PDF BibTeX XML Cite \textit{A. Resmini} et al., Int. J. Numer. Methods Eng. 106, No. 1, 32--57 (2016; Zbl 1352.76093) Full Text: DOI
Galindo, D.; Jantsch, P.; Webster, C. G.; Zhang, G. Accelerating stochastic collocation methods for partial differential equations with random input data. (English) Zbl 1352.65499 SIAM/ASA J. Uncertain. Quantif. 4, 1111-1137 (2016). MSC: 65N30 65N35 65N12 65N15 65C20 PDF BibTeX XML Cite \textit{D. Galindo} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1111--1137 (2016; Zbl 1352.65499) Full Text: DOI
Malenova, G.; Motamed, M.; Runborg, O.; Tempone, R. A sparse stochastic collocation technique for high-frequency wave propagation with uncertainty. (English) Zbl 1362.35344 SIAM/ASA J. Uncertain. Quantif. 4, 1084-1110 (2016). MSC: 35R60 35L05 35B65 65M70 PDF BibTeX XML Cite \textit{G. Malenova} et al., SIAM/ASA J. Uncertain. Quantif. 4, 1084--1110 (2016; Zbl 1362.35344) Full Text: DOI
Bohn, Bastian; Garcke, Jochen; Griebel, Michael A sparse grid based method for generative dimensionality reduction of high-dimensional data. (English) Zbl 1351.62120 J. Comput. Phys. 309, 1-17 (2016). MSC: 62H25 62J10 68T05 PDF BibTeX XML Cite \textit{B. Bohn} et al., J. Comput. Phys. 309, 1--17 (2016; Zbl 1351.62120) Full Text: DOI
Pflaum, Christoph; Hartmann, Rainer A sparse grid discretization of the Helmholtz equation with variable coefficients in high dimensions. (English) Zbl 1347.65179 SIAM J. Numer. Anal. 54, No. 4, 2707-2727 (2016). MSC: 65N30 35J05 65T60 65N15 65N12 65N50 PDF BibTeX XML Cite \textit{C. Pflaum} and \textit{R. Hartmann}, SIAM J. Numer. Anal. 54, No. 4, 2707--2727 (2016; Zbl 1347.65179) Full Text: DOI
Zhang, Qian; Li, Zhilin; Zhang, Zhiyue A sparse grid stochastic collocation method for elliptic interface problems with random input. (English) Zbl 1339.65017 J. Sci. Comput. 67, No. 1, 262-280 (2016). MSC: 65C30 60H15 60H35 35R60 65N30 65N35 65N12 65C05 PDF BibTeX XML Cite \textit{Q. Zhang} et al., J. Sci. Comput. 67, No. 1, 262--280 (2016; Zbl 1339.65017) Full Text: DOI
Sørevik, Tor; Nome, Morten A. Trigonometric interpolation on lattice grids. (English) Zbl 1341.65054 BIT 56, No. 1, 341-356 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42B05 65T50 PDF BibTeX XML Cite \textit{T. Sørevik} and \textit{M. A. Nome}, BIT 56, No. 1, 341--356 (2016; Zbl 1341.65054) Full Text: DOI
Griebel, Michael; Oettershagen, Jens On tensor product approximation of analytic functions. (English) Zbl 1342.41036 J. Approx. Theory 207, 348-379 (2016). Reviewer: Aurelian Bejancu (Safat) MSC: 41A63 41A05 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{J. Oettershagen}, J. Approx. Theory 207, 348--379 (2016; Zbl 1342.41036) Full Text: DOI
Byrenheid, Glenn; Dũng, Dinh; Sickel, Winfried; Ullrich, Tino Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\). (English) Zbl 1347.42003 J. Approx. Theory 207, 207-231 (2016). MSC: 42A15 42A10 47B06 46E35 65T40 PDF BibTeX XML Cite \textit{G. Byrenheid} et al., J. Approx. Theory 207, 207--231 (2016; Zbl 1347.42003) Full Text: DOI arXiv
Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael High-order ADI schemes for diffusion equations with mixed derivatives in the combination technique. (English) Zbl 1342.65185 Appl. Numer. Math. 101, 36-52 (2016). MSC: 65M20 65M22 65J08 35K57 PDF BibTeX XML Cite \textit{C. Hendricks} et al., Appl. Numer. Math. 101, 36--52 (2016; Zbl 1342.65185) Full Text: DOI
Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S. Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. (English) Zbl 1443.76210 Comput. Math. Appl. 70, No. 4, 603-623 (2015). MSC: 76S05 74R20 60H35 PDF BibTeX XML Cite \textit{S. Berrone} et al., Comput. Math. Appl. 70, No. 4, 603--623 (2015; Zbl 1443.76210) Full Text: DOI
Hakula, H.; Kaarnioja, V.; Laaksonen, M. Approximate methods for stochastic eigenvalue problems. (English) Zbl 1410.60066 Appl. Math. Comput. 267, 664-681 (2015). MSC: 60H35 47H40 60H25 65N25 PDF BibTeX XML Cite \textit{H. Hakula} et al., Appl. Math. Comput. 267, 664--681 (2015; Zbl 1410.60066) Full Text: DOI
Wu, Yuanqing; Kowitz, Christoph; Sun, Shuyu; Salama, Amgad Speeding up the flash calculations in two-phase compositional flow simulations - the application of sparse grids. (English) Zbl 1351.76227 J. Comput. Phys. 285, 88-99 (2015). MSC: 76M25 PDF BibTeX XML Cite \textit{Y. Wu} et al., J. Comput. Phys. 285, 88--99 (2015; Zbl 1351.76227) Full Text: DOI
Wang, Dongyong; Chen, Weitao; Nie, Qing Semi-implicit integration factor methods on sparse grids for high-dimensional systems. (English) Zbl 1349.65340 J. Comput. Phys. 292, 43-55 (2015). MSC: 65M06 65M22 35K57 PDF BibTeX XML Cite \textit{D. Wang} et al., J. Comput. Phys. 292, 43--55 (2015; Zbl 1349.65340) Full Text: DOI
Jakeman, J. D.; Wildey, T. Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates. (English) Zbl 1349.65422 J. Comput. Phys. 280, 54-71 (2015). MSC: 65M50 65Q10 39A14 65M60 PDF BibTeX XML Cite \textit{J. D. Jakeman} and \textit{T. Wildey}, J. Comput. Phys. 280, 54--71 (2015; Zbl 1349.65422) Full Text: DOI arXiv
Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raul Comparison of Clenshaw-Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs. (English) Zbl 1352.65018 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 475-482 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65C30 65M06 60H15 35R60 60H35 PDF BibTeX XML Cite \textit{F. Nobile} et al., Lect. Notes Comput. Sci. Eng. 106, 475--482 (2015; Zbl 1352.65018) Full Text: DOI
Franzelin, Fabian; Diehl, Patrick; Pflüger, Dirk Non-intrusive uncertainty quantification with sparse grids for multivariate peridynamic simulations. (English) Zbl 1343.74047 Griebel, Michael (ed.) et al., Meshfree methods for partial differential equations VII. Selected contributions based on the presentations at the 7th international workshop, Bonn, Germany, September 9–11, 2013. Cham: Springer (ISBN 978-3-319-06897-8/hbk; 978-3-319-06898-5/ebook). Lecture Notes in Computational Science and Engineering 100, 115-143 (2015). MSC: 74R99 74S30 PDF BibTeX XML Cite \textit{F. Franzelin} et al., Lect. Notes Comput. Sci. Eng. 100, 115--143 (2015; Zbl 1343.74047) Full Text: DOI
Peherstorfer, Benjamin; Kowitz, Christoph; Pflüger, Dirk; Bungartz, Hans-Joachim Selected recent applications of sparse grids. (English) Zbl 1340.65213 Numer. Math., Theory Methods Appl. 8, No. 1, 47-77 (2015). MSC: 65M50 65N50 65D05 65D32 91G60 76X05 76F99 PDF BibTeX XML Cite \textit{B. Peherstorfer} et al., Numer. Math., Theory Methods Appl. 8, No. 1, 47--77 (2015; Zbl 1340.65213) Full Text: DOI
Peherstorfer, Benjamin; Gómez, Pablo; Bungartz, Hans-Joachim Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. (English) Zbl 1336.91086 Adv. Comput. Math. 41, No. 5, 1365-1389 (2015). MSC: 91G60 65M60 65M22 35Q91 PDF BibTeX XML Cite \textit{B. Peherstorfer} et al., Adv. Comput. Math. 41, No. 5, 1365--1389 (2015; Zbl 1336.91086) Full Text: DOI
Hegland, Markus; Leopardi, Paul Sparse grid quadrature on products of spheres. (English) Zbl 1330.65045 Numer. Algorithms 70, No. 3, 485-517 (2015). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 41A63 46E22 PDF BibTeX XML Cite \textit{M. Hegland} and \textit{P. Leopardi}, Numer. Algorithms 70, No. 3, 485--517 (2015; Zbl 1330.65045) Full Text: DOI arXiv
Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. A multilevel stochastic collocation method for partial differential equations with random input data. (English) Zbl 1327.65014 SIAM/ASA J. Uncertain. Quantif. 3, 1046-1074 (2015). MSC: 65C20 65C30 65N30 65N35 65M75 65T50 65T60 PDF BibTeX XML Cite \textit{A. L. Teckentrup} et al., SIAM/ASA J. Uncertain. Quantif. 3, 1046--1074 (2015; Zbl 1327.65014) Full Text: DOI
Nance, J.; Kelley, C. T. A sparse interpolation algorithm for dynamical simulations in computational chemistry. (English) Zbl 1325.65194 SIAM J. Sci. Comput. 37, No. 5, S137-S156 (2015). MSC: 65Y20 92-08 92E99 PDF BibTeX XML Cite \textit{J. Nance} and \textit{C. T. Kelley}, SIAM J. Sci. Comput. 37, No. 5, S137--S156 (2015; Zbl 1325.65194) Full Text: DOI
Peherstorfer, Benjamin; Zimmer, Stefan; Zenger, Christoph; Bungartz, Hans-Joachim A multigrid method for adaptive sparse grids. (English) Zbl 06502304 SIAM J. Sci. Comput. 37, No. 5, S51-S70 (2015). MSC: 65F10 65N22 65N55 PDF BibTeX XML Cite \textit{B. Peherstorfer} et al., SIAM J. Sci. Comput. 37, No. 5, S51--S70 (2015; Zbl 06502304) Full Text: DOI
Hendricks, C.; Ehrhardt, M.; Günther, M. High order combination technique for the efficient pricing of basket options. (English) Zbl 1363.91130 Acta Math. Univ. Comen., New Ser. 84, No. 2, 243-253 (2015). MSC: 91G60 65M06 65D05 91G20 PDF BibTeX XML Cite \textit{C. Hendricks} et al., Acta Math. Univ. Comen., New Ser. 84, No. 2, 243--253 (2015; Zbl 1363.91130)
Perkó, Zoltán; Gilli, Luca; Lathouwers, Danny; Kloosterman, Jan Leen Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis. (English) Zbl 1349.65027 J. Comput. Phys. 260, 54-84 (2014). MSC: 65C20 60H35 PDF BibTeX XML Cite \textit{Z. Perkó} et al., J. Comput. Phys. 260, 54--84 (2014; Zbl 1349.65027) Full Text: DOI
Erhel, Jocelyne; Mghazli, Zoubida; Oumouni, Mestapha A combined collocation and Monte Carlo method for advection-diffusion equation of a solute in random porous media. (English) Zbl 1339.65189 ESAIM, Proc. Surv. 45, 328-337 (2014). MSC: 65M70 35Q35 65C05 65M75 76S05 76M22 PDF BibTeX XML Cite \textit{J. Erhel} et al., ESAIM, Proc. Surv. 45, 328--337 (2014; Zbl 1339.65189) Full Text: DOI
Griebel, Michael; Hullmann, Alexander On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. (English) Zbl 1330.65051 Griebel, Michael (ed.), Singular phenomena and scaling in mathematical models. Cham: Springer (ISBN 978-3-319-00785-4/hbk; 978-3-319-00786-1/ebook). 263-296 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F08 65F05 65F35 65N30 35J05 65N50 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{A. Hullmann}, in: Singular phenomena and scaling in mathematical models. Cham: Springer. 263--296 (2014; Zbl 1330.65051) Full Text: DOI
Griebel, Michael; Hamaekers, Jan Fast discrete Fourier transform on generalized sparse grids. (English) Zbl 1316.65119 Garcke, Jochen (ed.) et al., Sparse grids and applications – Munich 2012. Proceedings of the 2nd workshop, SGA 2012, Munich, Germany, July 2–6, 2012. Cham: Springer (ISBN 978-3-319-04536-8/hbk; 978-3-319-04537-5/ebook). Lecture Notes in Computational Science and Engineering 97, 75-107 (2014). MSC: 65T50 42A15 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{J. Hamaekers}, Lect. Notes Comput. Sci. Eng. 97, 75--107 (2014; Zbl 1316.65119) Full Text: DOI
Kouri, D. P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B. G. Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty. (English) Zbl 1312.49033 SIAM J. Sci. Comput. 36, No. 6, A3011-A3029 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 49M15 49M25 93A15 60H15 65K05 65N35 90C15 PDF BibTeX XML Cite \textit{D. P. Kouri} et al., SIAM J. Sci. Comput. 36, No. 6, A3011--A3029 (2014; Zbl 1312.49033) Full Text: DOI
Kouri, D. P. A multilevel stochastic collocation algorithm for optimization of PDEs with uncertain coefficients. (English) Zbl 1307.49026 SIAM/ASA J. Uncertain. Quantif. 2, 55-81 (2014). MSC: 49M25 49M15 65K05 65N35 90C15 49N10 PDF BibTeX XML Cite \textit{D. P. Kouri}, SIAM/ASA J. Uncertain. Quantif. 2, 55--81 (2014; Zbl 1307.49026) Full Text: DOI
Kestler, Sebastian; Stevenson, Rob Fast evaluation of system matrices w.r.t. multi-tree collections of tensor product refinable basis functions. (English) Zbl 1293.65156 J. Comput. Appl. Math. 260, 103-116 (2014). MSC: 65N30 65Y20 PDF BibTeX XML Cite \textit{S. Kestler} and \textit{R. Stevenson}, J. Comput. Appl. Math. 260, 103--116 (2014; Zbl 1293.65156) Full Text: DOI
Griebel, Michael; Harbrecht, Helmut Approximation of bi-variate functions: Singular value decomposition versus sparse grids. (English) Zbl 1287.65009 IMA J. Numer. Anal. 34, No. 1, 28-54 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 65Y20 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{H. Harbrecht}, IMA J. Numer. Anal. 34, No. 1, 28--54 (2014; Zbl 1287.65009) Full Text: DOI
Hülsmann, Marco; Reith, Dirk SpaGrOW – a derivative-free optimization scheme for intermolecular force field parameters based on sparse grid methods. (English) Zbl 1337.81138 Entropy 15, No. 9, 3640-3687 (2013). MSC: 81V55 81-08 81T80 PDF BibTeX XML Cite \textit{M. Hülsmann} and \textit{D. Reith}, Entropy 15, No. 9, 3640--3687 (2013; Zbl 1337.81138) Full Text: DOI
Geveler, M.; Ribbrock, D.; Göddeke, D.; Zajac, P.; Turek, S. Towards a complete FEM-based simulation toolkit on GPUs: unstructured grid finite element geometric multigrid solvers with strong smoothers based on sparse approximate inverses. (English) Zbl 1284.76249 Comput. Fluids 80, 327-332 (2013). MSC: 76M10 65Y10 PDF BibTeX XML Cite \textit{M. Geveler} et al., Comput. Fluids 80, 327--332 (2013; Zbl 1284.76249) Full Text: DOI
Conrad, Patrick R.; Marzouk, Youssef M. Adaptive Smolyak pseudospectral approximations. (English) Zbl 1294.41004 SIAM J. Sci. Comput. 35, No. 6, A2643-A2670 (2013). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A63 47A80 65D15 65D32 PDF BibTeX XML Cite \textit{P. R. Conrad} and \textit{Y. M. Marzouk}, SIAM J. Sci. Comput. 35, No. 6, A2643--A2670 (2013; Zbl 1294.41004) Full Text: DOI arXiv