Chen, Chao; Biros, George Overlapping domain decomposition preconditioner for integral equations. (English) Zbl 1514.65189 SIAM J. Sci. Comput. 44, No. 6, A3617-A3644 (2022). MSC: 65N55 65R20 65F08 65F35 65F55 35R09 45B05 PDFBibTeX XMLCite \textit{C. Chen} and \textit{G. Biros}, SIAM J. Sci. Comput. 44, No. 6, A3617--A3644 (2022; Zbl 1514.65189) Full Text: DOI arXiv
Gathungu, Duncan; Bebendorf, Mario; Borzì, Alfio Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equations. (English) Zbl 07511591 Numer. Linear Algebra Appl. 29, No. 1, e2410, 22 p. (2022). Reviewer: Vincenzo Vespri (Firenze) MSC: 45K05 65F08 65F30 65F50 65N22 PDFBibTeX XMLCite \textit{D. Gathungu} et al., Numer. Linear Algebra Appl. 29, No. 1, e2410, 22 p. (2022; Zbl 07511591) Full Text: DOI
Dunlop, Matthew M.; Helin, Tapio; Stuart, Andrew M. Hyperparameter estimation in Bayesian MAP estimation: parameterizations and consistency. (English) Zbl 1441.62084 SMAI J. Comput. Math. 6, 69-100 (2020). MSC: 62G05 62C10 62G20 45Q05 PDFBibTeX XMLCite \textit{M. M. Dunlop} et al., SMAI J. Comput. Math. 6, 69--100 (2020; Zbl 1441.62084) Full Text: DOI arXiv
Wang, Kechen; Li, Mengmeng; Ding, Dazhi; Chen, Rushan A parallelizable direct solution of integral equation methods for electromagnetic analysis. (English) Zbl 1403.78030 Eng. Anal. Bound. Elem. 85, 158-164 (2017). MSC: 78M22 65R20 45E05 PDFBibTeX XMLCite \textit{K. Wang} et al., Eng. Anal. Bound. Elem. 85, 158--164 (2017; Zbl 1403.78030) Full Text: DOI
Minden, Victor; Ho, Kenneth L.; Ying, Lexing A recursive skeletonization factorization based on strong admissibility. (English) Zbl 1365.65286 Multiscale Model. Simul. 15, No. 2, 768-796 (2017). MSC: 65R20 45A05 65N38 65F05 65F08 65Y20 PDFBibTeX XMLCite \textit{V. Minden} et al., Multiscale Model. Simul. 15, No. 2, 768--796 (2017; Zbl 1365.65286) Full Text: DOI arXiv
Fox, Colin; Norton, Richard A. Fast sampling in a linear-Gaussian inverse problem. (English) Zbl 1398.94081 SIAM/ASA J. Uncertain. Quantif. 4, 1191-1218 (2016). MSC: 94A20 45Q05 47N30 62F15 65C60 PDFBibTeX XMLCite \textit{C. Fox} and \textit{R. A. Norton}, SIAM/ASA J. Uncertain. Quantif. 4, 1191--1218 (2016; Zbl 1398.94081) Full Text: DOI arXiv
Hackbusch, Wolfgang Survey on the technique of hierarchical matrices. (English) Zbl 1336.65028 Vietnam J. Math. 44, No. 1, 71-101 (2016). MSC: 65F05 65F60 65F30 15A24 65F50 45B05 65N38 65R20 PDFBibTeX XMLCite \textit{W. Hackbusch}, Vietnam J. Math. 44, No. 1, 71--101 (2016; Zbl 1336.65028) Full Text: DOI
Hackbusch, Wolfgang Hierarchical matrices: algorithms and analysis. (English) Zbl 1336.65041 Springer Series in Computational Mathematics 49. Berlin: Springer (ISBN 978-3-662-47323-8/hbk; 978-3-662-47324-5/ebook). xxv, 511 p. (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F05 65F08 65F30 65N30 65N20 65-02 45P05 65R20 65F15 15A24 15A69 65F60 PDFBibTeX XMLCite \textit{W. Hackbusch}, Hierarchical matrices: algorithms and analysis. Berlin: Springer (2015; Zbl 1336.65041) Full Text: DOI
Corona, Eduardo; Martinsson, Per-Gunnar; Zorin, Denis An \(O(N)\) direct solver for integral equations on the plane. (English) Zbl 1307.65180 Appl. Comput. Harmon. Anal. 38, No. 2, 284-317 (2015). MSC: 65R20 45A05 PDFBibTeX XMLCite \textit{E. Corona} et al., Appl. Comput. Harmon. Anal. 38, No. 2, 284--317 (2015; Zbl 1307.65180) Full Text: DOI arXiv
Agapiou, Sergios; Bardsley, Johnathan M.; Papaspiliopoulos, Omiros; Stuart, Andrew M. Analysis of the Gibbs sampler for hierarchical inverse problems. (English) Zbl 1308.62097 SIAM/ASA J. Uncertain. Quantif. 2, 511-544 (2014). MSC: 62G20 62C10 62D05 45Q05 PDFBibTeX XMLCite \textit{S. Agapiou} et al., SIAM/ASA J. Uncertain. Quantif. 2, 511--544 (2014; Zbl 1308.62097) Full Text: DOI arXiv Link
Börm, Steffen; Gördes, Jessica Low-rank approximation of integral operators by using the Green formula and quadrature. (English) Zbl 1329.65314 Numer. Algorithms 64, No. 3, 567-592 (2013). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 65D30 45P05 41A63 PDFBibTeX XMLCite \textit{S. Börm} and \textit{J. Gördes}, Numer. Algorithms 64, No. 3, 567--592 (2013; Zbl 1329.65314) Full Text: DOI Link
Roman, J. E.; Vasconcelos, P. B.; Nunes, A. L. Eigenvalue computations in the context of data-sparse approximations of integral operators. (English) Zbl 1259.65218 J. Comput. Appl. Math. 237, 171-181 (2013). Reviewer: Alexandru Mihai Bica (Oradea) MSC: 65R20 65F15 45P05 45C05 65F50 85A05 85A25 85-08 PDFBibTeX XMLCite \textit{J. E. Roman} et al., J. Comput. Appl. Math. 237, 171--181 (2013; Zbl 1259.65218) Full Text: DOI
Yang, Li-Xin; He, Wan-Sheng; Liu, Xiao-Jun Synchronization between a fractional-order system and an integer order system. (English) Zbl 1236.93003 Comput. Math. Appl. 62, No. 12, 4708-4716 (2011). MSC: 93A13 34A08 45J05 93B52 PDFBibTeX XMLCite \textit{L.-X. Yang} et al., Comput. Math. Appl. 62, No. 12, 4708--4716 (2011; Zbl 1236.93003) Full Text: DOI
Athavale, Prashant; Tadmor, Eitan Integro-differential equations based on \((BV, L^1)\) image decomposition. (English) Zbl 1298.45015 SIAM J. Imaging Sci. 4, No. 1, 300-312 (2011). Reviewer: Aris Daniilidis (Santiago) MSC: 45K05 94A08 68U10 PDFBibTeX XMLCite \textit{P. Athavale} and \textit{E. Tadmor}, SIAM J. Imaging Sci. 4, No. 1, 300--312 (2011; Zbl 1298.45015) Full Text: DOI Link
Baker, Christopher T. H.; Bocharov, Gennady; Parmuzin, Eugene; Rihan, Fathalla Some aspects of causal and neutral equations used in modelling. (English) Zbl 1163.93005 J. Comput. Appl. Math. 229, No. 2, 335-349 (2009). MSC: 93A13 93A30 34K05 34K28 34K40 45G15 47A05 47N20 47N60 62P10 90C31 PDFBibTeX XMLCite \textit{C. T. H. Baker} et al., J. Comput. Appl. Math. 229, No. 2, 335--349 (2009; Zbl 1163.93005) Full Text: DOI
Khoromskij, B. N.; Litvinenko, A.; Matthies, H. G. Application of hierarchical matrices for computing the Karhunen-Loève expansion. (English) Zbl 1162.65306 Computing 84, No. 1-2, 49-67 (2009). MSC: 65C30 60H15 60H35 35R60 45C05 65R20 60G60 PDFBibTeX XMLCite \textit{B. N. Khoromskij} et al., Computing 84, No. 1--2, 49--67 (2009; Zbl 1162.65306) Full Text: DOI
Hackbusch, Wolfgang; Khoromskij, Boris N. Tensor-product approximation to multidimensional integral operators and Green’s functions. (English) Zbl 1171.65099 SIAM J. Matrix Anal. Appl. 30, No. 3, 1233-1253 (2008). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65R20 46B28 47A80 45P05 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, SIAM J. Matrix Anal. Appl. 30, No. 3, 1233--1253 (2008; Zbl 1171.65099) Full Text: DOI
Khoromskij, Boris N. Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation. (English) Zbl 1113.65040 Math. Comput. 76, No. 259, 1291-1315 (2007). MSC: 65F30 15A69 65F50 65R20 45K05 PDFBibTeX XMLCite \textit{B. N. Khoromskij}, Math. Comput. 76, No. 259, 1291--1315 (2007; Zbl 1113.65040) Full Text: DOI
Hackbusch, W.; Khoromskij, B. N. Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators. (English) Zbl 1087.65050 Computing 76, No. 3-4, 203-225 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65J05 65F50 65F30 46B28 47A80 65R20 45P05 65N38 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, Computing 76, No. 3--4, 203--225 (2006; Zbl 1087.65050) Full Text: DOI
Hackbusch, W.; Khoromskij, B. N. Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions. (English) Zbl 1087.65049 Computing 76, No. 3-4, 177-202 (2006). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65J05 65F50 65F30 46B28 47A80 65R20 45P05 65N38 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{B. N. Khoromskij}, Computing 76, No. 3--4, 177--202 (2006; Zbl 1087.65049) Full Text: DOI
Börm, S. Approximation of integral operators by \(\mathcal H^2\)-matrices with adaptive bases. (English) Zbl 1082.65139 Computing 74, No. 3, 249-271 (2005). Reviewer: M. Thamban Nair (Chennai) MSC: 65R20 45P05 45B05 PDFBibTeX XMLCite \textit{S. Börm}, Computing 74, No. 3, 249--271 (2005; Zbl 1082.65139) Full Text: DOI
Hansen, Olaf A fast collocation method for the radiosity equation, based on the hierarchical algorithm of Hanrahan and Salzman: the 1D case. (English) Zbl 1072.65165 Adv. Comput. Math. 22, No. 4, 353-375 (2005). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 65Y20 45E10 PDFBibTeX XMLCite \textit{O. Hansen}, Adv. Comput. Math. 22, No. 4, 353--375 (2005; Zbl 1072.65165) Full Text: DOI
Castrillón-Candás, Julio E.; Amaratunga, Kevin Spatially adapted multiwavelets and sparse representation of integral equations on general geometries. (English) Zbl 1042.65112 SIAM J. Sci. Comput. 24, No. 5, 1530-1566 (2003). Reviewer: Kai Schneider (Marseille) MSC: 65T60 42C40 65R20 45B05 PDFBibTeX XMLCite \textit{J. E. Castrillón-Candás} and \textit{K. Amaratunga}, SIAM J. Sci. Comput. 24, No. 5, 1530--1566 (2003; Zbl 1042.65112) Full Text: DOI
Mund, Patrick; Stephan, Ernst P. An adaptive two-level method for hypersingular integral equations in \({\mathbb{R}}^3\). (English) Zbl 0977.65126 ANZIAM J. 42C, C1019-C1033 (2000). MSC: 65R20 45E10 35J25 65N38 65N15 PDFBibTeX XMLCite \textit{P. Mund} and \textit{E. P. Stephan}, ANZIAM J. 42C, C1019--C1033 (2000; Zbl 0977.65126)
Tran, Thanh; Stephan, Ernst P.; Zaprianov, Stefan Wavelet-based preconditioners for boundary integral equations. (English) Zbl 0921.65074 Adv. Comput. Math. 9, No. 1-2, 233-249 (1998). Reviewer: Di-Rong Chen (Beijing) MSC: 65N38 35J25 65R20 65N55 65F35 45E10 PDFBibTeX XMLCite \textit{T. Tran} et al., Adv. Comput. Math. 9, No. 1--2, 233--249 (1998; Zbl 0921.65074) Full Text: DOI
Cao, Thang BPX preconditioner for hypersingular integral equations. (English) Zbl 0916.65136 J. Integral Equations Appl. 10, No. 2, 141-167 (1998). Reviewer: W.Heinrichs (Essen) MSC: 65R20 65F10 65F35 45E10 65N38 PDFBibTeX XMLCite \textit{T. Cao}, J. Integral Equations Appl. 10, No. 2, 141--167 (1998; Zbl 0916.65136) Full Text: DOI Link
Cao, Thang Hierarchical basis methods for hypersingular integral equations. (English) Zbl 0887.65137 IMA J. Numer. Anal. 17, No. 4, 603-619 (1997). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 65N38 45E10 65F35 PDFBibTeX XMLCite \textit{T. Cao}, IMA J. Numer. Anal. 17, No. 4, 603--619 (1997; Zbl 0887.65137) Full Text: DOI
Tran, Thanh; Stephan, Ernst P.; Mund, Patrick Hierarchical basis preconditioners for first kind integral equations. (English) Zbl 0886.65137 Appl. Anal. 65, No. 3-4, 353-372 (1997). Reviewer: Thanh Tran (Sydney) MSC: 65R20 65N38 45E10 PDFBibTeX XML Full Text: DOI
Cushing, J. M.; Li, Jia Oscillations caused by cannibalism in a size-structured population model. (English) Zbl 0838.92027 Can. Appl. Math. Q. 3, No. 2, 155-172 (1995). MSC: 92D40 45K05 92D25 45M10 45M05 PDFBibTeX XMLCite \textit{J. M. Cushing} and \textit{J. Li}, Can. Appl. Math. Q. 3, No. 2, 155--172 (1995; Zbl 0838.92027)
Leonard, Tom; Hsu, John S. J. Bayesian inference for a covariance matrix. (English) Zbl 0765.62031 Ann. Stat. 20, No. 4, 1669-1696 (1992). MSC: 62F15 62H12 62C12 45D05 62E20 62J12 PDFBibTeX XMLCite \textit{T. Leonard} and \textit{J. S. J. Hsu}, Ann. Stat. 20, No. 4, 1669--1696 (1992; Zbl 0765.62031) Full Text: DOI
de Menna, L.; Miano, G.; Rubinacci, G. Volterra’s series solutions of free boundary plasma equilibria. (English) Zbl 0618.76125 Phys. Fluids 30, 409-416 (1987). Reviewer: F.Cap MSC: 76X05 76M99 35R25 45F10 PDFBibTeX XMLCite \textit{L. de Menna} et al., Phys. Fluids 30, 409--416 (1987; Zbl 0618.76125) Full Text: DOI
Mukhtarov, M. Hierarchical program controls in a linear problem with fixed end points. (Russian) Zbl 0578.93002 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1985, No. 3(124), 67-71 (1985). Reviewer: S.Balint MSC: 93A13 91A99 93C05 93C99 45J05 PDFBibTeX XMLCite \textit{M. Mukhtarov}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1985, No. 3(124), 67--71 (1985; Zbl 0578.93002)