Hartmann, Stefan; Dileep, Pranav Kumar; Grafenhorst, Matthias A time-adaptive FE\(^2\)-approach within the method of vertical lines. (English) Zbl 07783937 Comput. Math. Appl. 151, 222-243 (2023). MSC: 74S05 74Q05 74E30 74S20 74Q15 PDFBibTeX XMLCite \textit{S. Hartmann} et al., Comput. Math. Appl. 151, 222--243 (2023; Zbl 07783937) Full Text: DOI
Aswin, V. S.; Manimaran, J.; Chamakuri, Nagaiah Space-time adaptivity for a multi-scale cancer invasion model. (English) Zbl 07741340 Comput. Math. Appl. 146, 309-322 (2023). MSC: 92C32 35K57 65M60 65L06 PDFBibTeX XMLCite \textit{V. S. Aswin} et al., Comput. Math. Appl. 146, 309--322 (2023; Zbl 07741340) Full Text: DOI
Li, Meng; Luo, Xianbing An MLMCE-HDG method for the convection diffusion equation with random diffusivity. (English) Zbl 1524.65567 Comput. Math. Appl. 127, 127-143 (2022). MSC: 65M60 65N30 65C05 65M12 65C30 35R60 65M15 65M06 PDFBibTeX XMLCite \textit{M. Li} and \textit{X. Luo}, Comput. Math. Appl. 127, 127--143 (2022; Zbl 1524.65567) Full Text: DOI
Zhang, Lei; Zhang, Guo-Feng; Liang, Zhao-Zheng Tensorized low-rank circulant preconditioners for multilevel Toeplitz linear systems from high-dimensional fractional Riesz equations. (English) Zbl 07483142 Comput. Math. Appl. 110, 64-76 (2022). MSC: 65F08 65F10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Math. Appl. 110, 64--76 (2022; Zbl 07483142) Full Text: DOI
Li, Junpu; Gu, Yan; Qin, Qing-Hua; Zhang, Lan The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm. (English) Zbl 1524.65909 Comput. Math. Appl. 89, 127-138 (2021). MSC: 65N38 35J05 65N80 35J25 65N55 65F50 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 89, 127--138 (2021; Zbl 1524.65909) Full Text: DOI
Baumgarten, Niklas; Wieners, Christian The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. (English) Zbl 1524.65513 Comput. Math. Appl. 81, 391-406 (2021). MSC: 65M60 65N30 65C30 65C05 65Y05 65F08 65-04 97M50 PDFBibTeX XMLCite \textit{N. Baumgarten} and \textit{C. Wieners}, Comput. Math. Appl. 81, 391--406 (2021; Zbl 1524.65513) Full Text: DOI Link
Xu, Fei; Huang, Qiumei; Ma, Hongkun A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates. (English) Zbl 1447.65176 Comput. Math. Appl. 80, No. 5, 1287-1300 (2020). MSC: 65N55 65N30 65N25 65F15 65Y05 82B10 35Q55 PDFBibTeX XMLCite \textit{F. Xu} et al., Comput. Math. Appl. 80, No. 5, 1287--1300 (2020; Zbl 1447.65176) Full Text: DOI
Acebrón, Juan A.; Herrero, José R.; Monteiro, José A highly parallel algorithm for computing the action of a matrix exponential on a vector based on a multilevel Monte Carlo method. (English) Zbl 1451.65056 Comput. Math. Appl. 79, No. 12, 3495-3515 (2020). MSC: 65F60 65Y05 65C05 PDFBibTeX XMLCite \textit{J. A. Acebrón} et al., Comput. Math. Appl. 79, No. 12, 3495--3515 (2020; Zbl 1451.65056) Full Text: DOI arXiv
Scarabosio, Laura; Wohlmuth, Barbara; Oden, J. Tinsley; Faghihi, Danial Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods. (English) Zbl 1443.65008 Comput. Math. Appl. 78, No. 8, 2700-2718 (2019). MSC: 65C05 PDFBibTeX XMLCite \textit{L. Scarabosio} et al., Comput. Math. Appl. 78, No. 8, 2700--2718 (2019; Zbl 1443.65008) Full Text: DOI arXiv
Li, Junpu; Chen, Wen; Qin, Qing-Hua; Fu, Zhuojia A modified multilevel algorithm for large-scale scientific and engineering computing. (English) Zbl 1442.65429 Comput. Math. Appl. 77, No. 8, 2061-2076 (2019). MSC: 65N55 35J25 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 77, No. 8, 2061--2076 (2019; Zbl 1442.65429) Full Text: DOI
Bacuta, Constantin; Jacavage, Jacob Saddle point least squares preconditioning of mixed methods. (English) Zbl 1442.65337 Comput. Math. Appl. 77, No. 5, 1396-1407 (2019). MSC: 65N22 65F08 PDFBibTeX XMLCite \textit{C. Bacuta} and \textit{J. Jacavage}, Comput. Math. Appl. 77, No. 5, 1396--1407 (2019; Zbl 1442.65337) Full Text: DOI arXiv
Donatelli, Marco; Dorostkar, Ali; Mazza, Mariarosa; Neytcheva, Maya; Serra-Capizzano, Stefano Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. (English) Zbl 1390.74176 Comput. Math. Appl. 74, No. 5, 1015-1028 (2017). MSC: 74S05 65N30 74B05 35Q74 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Comput. Math. Appl. 74, No. 5, 1015--1028 (2017; Zbl 1390.74176) Full Text: DOI
Pultarová, Ivana Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants. (English) Zbl 1443.65366 Comput. Math. Appl. 71, No. 4, 949-964 (2016). MSC: 65N30 65N22 65N55 65N75 60H35 PDFBibTeX XMLCite \textit{I. Pultarová}, Comput. Math. Appl. 71, No. 4, 949--964 (2016; Zbl 1443.65366) Full Text: DOI
Pauli, Stefan; Arbenz, Peter Determining optimal multilevel Monte Carlo parameters with application to fault tolerance. (English) Zbl 1443.65007 Comput. Math. Appl. 70, No. 11, 2638-2651 (2015). MSC: 65C05 68M15 PDFBibTeX XMLCite \textit{S. Pauli} and \textit{P. Arbenz}, Comput. Math. Appl. 70, No. 11, 2638--2651 (2015; Zbl 1443.65007) Full Text: DOI
Yang, Yidu; Han, Jiayu Multilevel finite element discretizations based on local defect correction for nonsymmetric eigenvalue problems. (English) Zbl 1443.65379 Comput. Math. Appl. 70, No. 8, 1799-1816 (2015). MSC: 65N30 65N25 35J25 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{J. Han}, Comput. Math. Appl. 70, No. 8, 1799--1816 (2015; Zbl 1443.65379) Full Text: DOI arXiv
Georgiev, Ivan; Margenov, Svetozar Semi-coarsening AMLI preconditioning of anisotropic trilinear FEM systems. (English) Zbl 1369.65146 Comput. Math. Appl. 68, No. 12, Part A, 2103-2111 (2014). MSC: 65N30 35J25 65F10 65F08 PDFBibTeX XMLCite \textit{I. Georgiev} and \textit{S. Margenov}, Comput. Math. Appl. 68, No. 12, Part A, 2103--2111 (2014; Zbl 1369.65146) Full Text: DOI
Bacuta, Constantin Cascadic multilevel algorithms for symmetric saddle point systems. (English) Zbl 1367.65164 Comput. Math. Appl. 67, No. 10, 1905-1913 (2014). MSC: 65N30 PDFBibTeX XMLCite \textit{C. Bacuta}, Comput. Math. Appl. 67, No. 10, 1905--1913 (2014; Zbl 1367.65164) Full Text: DOI arXiv
Chen, Zhongying; Ding, Shengpei; Yang, Hongqi Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations. (English) Zbl 1231.65258 Comput. Math. Appl. 62, No. 4, 2071-2082 (2011). MSC: 65R30 45B05 65R20 PDFBibTeX XMLCite \textit{Z. Chen} et al., Comput. Math. Appl. 62, No. 4, 2071--2082 (2011; Zbl 1231.65258) Full Text: DOI
Chen, Jian Fast multilevel augmentation methods for nonlinear boundary value problems. (English) Zbl 1217.65100 Comput. Math. Appl. 61, No. 3, 612-619 (2011). MSC: 65J15 PDFBibTeX XMLCite \textit{J. Chen}, Comput. Math. Appl. 61, No. 3, 612--619 (2011; Zbl 1217.65100) Full Text: DOI
Han, Yi; Tang, Jiafu; Kaku, Iko; Mu, Lifeng Solving uncapacitated multilevel lot-sizing problems using a particle swarm optimization with flexible inertial weight. (English) Zbl 1186.90009 Comput. Math. Appl. 57, No. 11-12, 1748-1755 (2009). MSC: 90B05 90C59 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 57, No. 11--12, 1748--1755 (2009; Zbl 1186.90009) Full Text: DOI
Nechaev, O. V.; Shurina, E. P.; Botchev, M. A. Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. (English) Zbl 1142.65448 Comput. Math. Appl. 55, No. 10, 2346-2362 (2008). MSC: 65N30 65N22 78M10 PDFBibTeX XMLCite \textit{O. V. Nechaev} et al., Comput. Math. Appl. 55, No. 10, 2346--2362 (2008; Zbl 1142.65448) Full Text: DOI Link
Georgiev, I.; Kraus, J.; Margenov, S. Multilevel preconditioning of rotated bilinear non-conforming FEM problems. (English) Zbl 1142.65323 Comput. Math. Appl. 55, No. 10, 2280-2294 (2008). MSC: 65F10 65N30 PDFBibTeX XMLCite \textit{I. Georgiev} et al., Comput. Math. Appl. 55, No. 10, 2280--2294 (2008; Zbl 1142.65323) Full Text: DOI
Oduntan, Idowu O.; Toulouse, Michel; Baumgartner, Richard; Bowman, Christopher; Somorjai, Ray; Crainic, Teodor G. A multilevel tabu search algorithm for the feature selection problem in biomedical data. (English) Zbl 1137.92020 Comput. Math. Appl. 55, No. 5, 1019-1033 (2008). MSC: 92C50 90B40 90C59 92-08 PDFBibTeX XMLCite \textit{I. O. Oduntan} et al., Comput. Math. Appl. 55, No. 5, 1019--1033 (2008; Zbl 1137.92020) Full Text: DOI
Gao, Jinwu; Liu, Baoding Fuzzy multilevel programming with a hybrid intelligent algorithm. (English) Zbl 1138.90508 Comput. Math. Appl. 49, No. 9-10, 1539-1548 (2005). MSC: 90C70 90C29 90C59 PDFBibTeX XMLCite \textit{J. Gao} and \textit{B. Liu}, Comput. Math. Appl. 49, No. 9--10, 1539--1548 (2005; Zbl 1138.90508) Full Text: DOI
Maischak, M.; Stephan, E. P. A least squares coupling method with finite elements and boundary elements for transmission problems. (English) Zbl 1067.65131 Comput. Math. Appl. 48, No. 7-8, 995-1016 (2004). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65N30 65N38 35J25 65F10 65F35 65N55 PDFBibTeX XMLCite \textit{M. Maischak} and \textit{E. P. Stephan}, Comput. Math. Appl. 48, No. 7--8, 995--1016 (2004; Zbl 1067.65131) Full Text: DOI
Fasshauer, G. E. Newton iteration with multiquadrics for the solution of nonlinear PDEs. (English) Zbl 0999.65136 Comput. Math. Appl. 43, No. 3-5, 423-438 (2002). MSC: 65N35 65N55 35J65 65H10 PDFBibTeX XMLCite \textit{G. E. Fasshauer}, Comput. Math. Appl. 43, No. 3--5, 423--438 (2002; Zbl 0999.65136) Full Text: DOI
Chen, C. S.; Ganesh, M.; Golberg, M. A.; Cheng, A. H.-D. Multilevel compact radial functions based computational schemes for some elliptic problems. (English) Zbl 0999.65143 Comput. Math. Appl. 43, No. 3-5, 359-378 (2002). MSC: 65N38 65N55 35J25 PDFBibTeX XMLCite \textit{C. S. Chen} et al., Comput. Math. Appl. 43, No. 3--5, 359--378 (2002; Zbl 0999.65143) Full Text: DOI
Zhang, Yongmin Multilevel projection algorithm for solving obstacle problems. (English) Zbl 0985.65076 Comput. Math. Appl. 41, No. 12, 1505-1513 (2001). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 65K10 49M15 49J40 35R35 35R45 PDFBibTeX XMLCite \textit{Y. Zhang}, Comput. Math. Appl. 41, No. 12, 1505--1513 (2001; Zbl 0985.65076) Full Text: DOI
Cheng, Suisun; Lu, Yi-Feng General solutions of a three-level partial difference equation. (English) Zbl 0964.39002 Comput. Math. Appl. 38, No. 7-8, 65-79 (1999). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A11 35K05 65M06 PDFBibTeX XMLCite \textit{S. Cheng} and \textit{Y.-F. Lu}, Comput. Math. Appl. 38, No. 7--8, 65--79 (1999; Zbl 0964.39002) Full Text: DOI
Sakawa, M.; Nishizaki, I.; Uemura, Y. Interactive fuzzy programming for multilevel linear programming problems. (English) Zbl 0937.90123 Comput. Math. Appl. 36, No. 2, 71-86 (1998). MSC: 90C70 PDFBibTeX XMLCite \textit{M. Sakawa} et al., Comput. Math. Appl. 36, No. 2, 71--86 (1998; Zbl 0937.90123) Full Text: DOI
Schmidt, F.; Deuflhard, P. Discrete transparent boundary conditions for the numerical solution of Fresnel’s equation. (English) Zbl 0821.65078 Comput. Math. Appl. 29, No. 9, 53-76 (1995). Reviewer: T.C.Mohan (Madras) MSC: 65Z05 65M20 65M60 35Q60 78A10 PDFBibTeX XMLCite \textit{F. Schmidt} and \textit{P. Deuflhard}, Comput. Math. Appl. 29, No. 9, 53--76 (1995; Zbl 0821.65078) Full Text: DOI