He, Juncai; Li, Lin; Xu, Jinchao Approximation properties of deep ReLU CNNs. (English) Zbl 07562336 Res. Math. Sci. 9, No. 3, Paper No. 38, 24 p. (2022). MSC: 41A30 68T07 65D40 PDF BibTeX XML Cite \textit{J. He} et al., Res. Math. Sci. 9, No. 3, Paper No. 38, 24 p. (2022; Zbl 07562336) Full Text: DOI OpenURL
Eftekhari, Aryan; Scheidegger, Simon High-dimensional dynamic stochastic model representation. (English) Zbl 07547918 SIAM J. Sci. Comput. 44, No. 3, C210-C236 (2022). MSC: 41A63 41A58 68W25 68W10 91B70 PDF BibTeX XML Cite \textit{A. Eftekhari} and \textit{S. Scheidegger}, SIAM J. Sci. Comput. 44, No. 3, C210--C236 (2022; Zbl 07547918) Full Text: DOI OpenURL
Rahman, Sharif; Jahanbin, Ramin A spline dimensional decomposition for uncertainty quantification in high dimensions. (English) Zbl 07524833 SIAM/ASA J. Uncertain. Quantif. 10, 404-438 (2022). MSC: 65-XX 49K30 60H35 65C60 PDF BibTeX XML Cite \textit{S. Rahman} and \textit{R. Jahanbin}, SIAM/ASA J. Uncertain. Quantif. 10, 404--438 (2022; Zbl 07524833) Full Text: DOI OpenURL
Buttari, Alfredo; Huber, Markus; Leleux, Philippe; Mary, Theo; Rüde, Ulrich; Wohlmuth, Barbara Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. (English) Zbl 07511588 Numer. Linear Algebra Appl. 29, No. 1, e2407, 15 p. (2022). MSC: 65N55 PDF BibTeX XML Cite \textit{A. Buttari} et al., Numer. Linear Algebra Appl. 29, No. 1, e2407, 15 p. (2022; Zbl 07511588) Full Text: DOI OpenURL
Eigel, Martin; Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion. (English) Zbl 07506904 SIAM J. Numer. Anal. 60, No. 2, 659-687 (2022). MSC: 65D05 65D15 65C30 60H25 PDF BibTeX XML Cite \textit{M. Eigel} et al., SIAM J. Numer. Anal. 60, No. 2, 659--687 (2022; Zbl 07506904) Full Text: DOI OpenURL
Gruber, Anthony; Gunzburger, Max; Ju, Lili; Teng, Yuankai; Wang, Zhu Nonlinear level set learning for function approximation on sparse data with applications to parametric differential equations. (English) Zbl 07538528 Numer. Math., Theory Methods Appl. 14, No. 4, 839-861 (2021). MSC: 65D15 65D40 PDF BibTeX XML Cite \textit{A. Gruber} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 839--861 (2021; Zbl 07538528) Full Text: DOI OpenURL
Jiang, Shan; Yu, Haijun Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere. (English) Zbl 1484.65258 J. Sci. Comput. 89, No. 2, Paper No. 43, 24 p. (2021). MSC: 65M70 65D40 65D15 42C10 65D32 65H10 35Q35 PDF BibTeX XML Cite \textit{S. Jiang} and \textit{H. Yu}, J. Sci. Comput. 89, No. 2, Paper No. 43, 24 p. (2021; Zbl 1484.65258) Full Text: DOI arXiv OpenURL
Nelsen, Nicholas H.; Stuart, Andrew M. The random feature model for input-output maps between Banach spaces. (English) Zbl 07398767 SIAM J. Sci. Comput. 43, No. 5, A3212-A3243 (2021). MSC: 65D15 65D40 62M45 35R60 PDF BibTeX XML Cite \textit{N. H. Nelsen} and \textit{A. M. Stuart}, SIAM J. Sci. Comput. 43, No. 5, A3212--A3243 (2021; Zbl 07398767) Full Text: DOI arXiv OpenURL
Obersteiner, Michael; Bungartz, Hans-Joachim A generalized spatially adaptive sparse grid combination technique with dimension-wise refinement. (English) Zbl 07378157 SIAM J. Sci. Comput. 43, No. 4, A2381-A2403 (2021). MSC: 65D05 65D30 65Y20 PDF BibTeX XML Cite \textit{M. Obersteiner} and \textit{H.-J. Bungartz}, SIAM J. Sci. Comput. 43, No. 4, A2381--A2403 (2021; Zbl 07378157) Full Text: DOI OpenURL
Castrillón-Candás, Julio E.; Nobile, Fabio; Tempone, Raúl F. A hybrid collocation-perturbation approach for PDEs with random domains. (English) Zbl 1479.65033 Adv. Comput. Math. 47, No. 3, Paper No. 40, 35 p. (2021). MSC: 65N35 65N30 65N12 35B20 35R60 PDF BibTeX XML Cite \textit{J. E. Castrillón-Candás} et al., Adv. Comput. Math. 47, No. 3, Paper No. 40, 35 p. (2021; Zbl 1479.65033) Full Text: DOI arXiv OpenURL
Choi, Bosu; Iwen, Mark; Volkmer, Toni Sparse harmonic transforms. II: Best \(s\)-term approximation guarantees for bounded orthonormal product bases in sublinear-time. (English) Zbl 1483.65030 Numer. Math. 148, No. 2, 293-362 (2021). MSC: 65D15 65D40 65T40 68W20 68W25 PDF BibTeX XML Cite \textit{B. Choi} et al., Numer. Math. 148, No. 2, 293--362 (2021; Zbl 1483.65030) Full Text: DOI arXiv OpenURL
Gordon, Grey Efficient VAR discretization. (English) Zbl 1467.62144 Econ. Lett. 204, Article ID 109872, 8 p. (2021). MSC: 62M10 65D40 PDF BibTeX XML Cite \textit{G. Gordon}, Econ. Lett. 204, Article ID 109872, 8 p. (2021; Zbl 1467.62144) Full Text: DOI OpenURL
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-XX 60-XX 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 arXiv OpenURL
Zhu, Xiaozhi; Zhang, Yong-Tao Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs. (English) Zbl 1473.65131 J. Sci. Comput. 87, No. 2, Paper No. 44, 38 p. (2021). MSC: 65M06 65M12 35L25 35Q83 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 1473.65131) Full Text: DOI arXiv OpenURL
Kaltofen, Erich L.; Yang, Zhi-Hong Sparse interpolation with errors in Chebyshev basis beyond redundant-block decoding. (English) Zbl 1465.94137 IEEE Trans. Inf. Theory 67, No. 1, 232-243 (2021). MSC: 94B35 65D05 65D40 PDF BibTeX XML Cite \textit{E. L. Kaltofen} and \textit{Z.-H. Yang}, IEEE Trans. Inf. Theory 67, No. 1, 232--243 (2021; Zbl 1465.94137) Full Text: DOI arXiv OpenURL
Lang, J.; Scheichl, R.; Silvester, D. A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data. (English) Zbl 07507248 J. Comput. Phys. 419, Article ID 109692, 17 p. (2020). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{J. Lang} et al., J. Comput. Phys. 419, Article ID 109692, 17 p. (2020; Zbl 07507248) Full Text: DOI OpenURL
Li, Bo; Tang, Shanshan; Yu, Haijun Better approximations of high dimensional smooth functions by deep neural networks with rectified power units. (English) Zbl 1474.65031 Commun. Comput. Phys. 27, No. 2, 379-411 (2020). MSC: 65D15 65M12 65M15 68T07 PDF BibTeX XML Cite \textit{B. Li} et al., Commun. Comput. Phys. 27, No. 2, 379--411 (2020; Zbl 1474.65031) Full Text: DOI arXiv OpenURL
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 1476.65267 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159-2197 (2020). MSC: 65M70 65M06 65N35 65M12 65M22 65D40 PDF BibTeX XML Cite \textit{V. Ehrlacher} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2159--2197 (2020; Zbl 1476.65267) Full Text: DOI arXiv OpenURL
Rieger, Christian; Wendland, Holger Sampling inequalities for anisotropic tensor product grids. (English) Zbl 1466.41016 IMA J. Numer. Anal. 40, No. 1, 285-321 (2020). MSC: 41A63 41A30 PDF BibTeX XML Cite \textit{C. Rieger} and \textit{H. Wendland}, IMA J. Numer. Anal. 40, No. 1, 285--321 (2020; Zbl 1466.41016) Full Text: DOI Link OpenURL
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 arXiv OpenURL
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 arXiv Link OpenURL
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 OpenURL
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 arXiv OpenURL
Chernov, A. V. Gaussian functions combined with Kolmogorov’s theorem as applied to approximation of functions of several variables. (English. Russian original) Zbl 1475.41012 Comput. Math. Math. Phys. 60, No. 5, 766-782 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 784-801 (2020). Reviewer: Aurelian Bejancu (Safat) MSC: 41A63 41A30 65D15 65D40 PDF BibTeX XML Cite \textit{A. V. Chernov}, Comput. Math. Math. Phys. 60, No. 5, 766--782 (2020; Zbl 1475.41012); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 5, 784--801 (2020) Full Text: DOI OpenURL
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 Link OpenURL
Hackel, Timo; Usvyatsov, Mikhail; Galliani, Silvano; Wegner, Jan D.; Schindler, Konrad Inference, learning and attention mechanisms that exploit and preserve sparsity in CNNs. (English) Zbl 1477.68362 Int. J. Comput. Vis. 128, No. 4, 1047-1059 (2020). MSC: 68T45 68T07 PDF BibTeX XML Cite \textit{T. Hackel} et al., Int. J. Comput. Vis. 128, No. 4, 1047--1059 (2020; Zbl 1477.68362) Full Text: DOI arXiv Link OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
Castrillón-Candás, Julio E.; Kon, Mark Analytic regularity and stochastic collocation of high-dimensional Newton iterates. (English) Zbl 1462.65054 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 1462.65054) Full Text: DOI arXiv OpenURL
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 arXiv OpenURL
Montanelli, Hadrien; Du, Qiang New error bounds for deep ReLU networks using sparse grids. (English) Zbl 07468821 SIAM J. Math. Data Sci. 1, No. 1, 78-92 (2019). MSC: 41A63 68T05 82C32 PDF BibTeX XML Cite \textit{H. Montanelli} and \textit{Q. Du}, SIAM J. Math. Data Sci. 1, No. 1, 78--92 (2019; Zbl 07468821) Full Text: DOI arXiv OpenURL
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 OpenURL
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 arXiv OpenURL
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 OpenURL
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 arXiv Link OpenURL
Marshall, Nicholas F. Approximating mixed Hölder functions using random samples. (English) Zbl 1460.41016 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 1460.41016) Full Text: DOI arXiv OpenURL
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 OpenURL
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-XX 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 Link OpenURL
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 OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
Schwab, Christoph; Zech, Jakob Deep learning in high dimension: neural network expression rates for generalized polynomial chaos expansions in UQ. (English) Zbl 1478.68309 Anal. Appl., Singap. 17, No. 1, 19-55 (2019). MSC: 68T07 PDF BibTeX XML Cite \textit{C. Schwab} and \textit{J. Zech}, Anal. Appl., Singap. 17, No. 1, 19--55 (2019; Zbl 1478.68309) Full Text: DOI OpenURL
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 Link OpenURL
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 arXiv Link OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 Link OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 Link OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 HAL OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 arXiv OpenURL
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 arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 Link OpenURL
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 OpenURL
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 OpenURL
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 OpenURL