Lecointre, Luc; Vicquelin, Ronan; Kudriakov, Sergey; Studer, Etienne; Tenaud, Christian High-order numerical scheme for compressible multi-component real gas flows using an extension of the Roe approximate Riemann solver and specific monotonicity-preserving constraints. (English) Zbl 07517109 J. Comput. Phys. 450, Article ID 110821, 24 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDF BibTeX XML Cite \textit{L. Lecointre} et al., J. Comput. Phys. 450, Article ID 110821, 24 p. (2022; Zbl 07517109) Full Text: DOI OpenURL
Gerhard, Nils; Müller, Siegfried; Sikstel, Aleksey A wavelet-free approach for multiresolution-based grid adaptation for conservation laws. (English) Zbl 07508609 Commun. Appl. Math. Comput. 4, No. 1, 108-142 (2022). MSC: 35L65 65M60 PDF BibTeX XML Cite \textit{N. Gerhard} et al., Commun. Appl. Math. Comput. 4, No. 1, 108--142 (2022; Zbl 07508609) Full Text: DOI OpenURL
Hoppe, Nils; Adami, Stefan; Adams, Nikolaus A. A parallel modular computing environment for three-dimensional multiresolution simulations of compressible flows. (English) Zbl 07487650 Comput. Methods Appl. Mech. Eng. 391, Article ID 114486, 26 p. (2022). MSC: 76-XX 68-XX PDF BibTeX XML Cite \textit{N. Hoppe} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114486, 26 p. (2022; Zbl 07487650) Full Text: DOI arXiv OpenURL
Tao, Zhanjing; Jiang, Yan; Cheng, Yingda An adaptive high-order piecewise polynomial based sparse grid collocation method with applications. (English) Zbl 07501578 J. Comput. Phys. 433, Article ID 109770, 31 p. (2021). MSC: 65Nxx 65Mxx 65Cxx PDF BibTeX XML Cite \textit{Z. Tao} et al., J. Comput. Phys. 433, Article ID 109770, 31 p. (2021; Zbl 07501578) Full Text: DOI OpenURL
Wang, Zhenming; Zhu, Jun; Tian, Linlin; Zhao, Ning A low dissipation finite difference nested multi-resolution WENO scheme for Euler/Navier-Stokes equations. (English) Zbl 07500741 J. Comput. Phys. 429, Article ID 110006, 24 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{Z. Wang} et al., J. Comput. Phys. 429, Article ID 110006, 24 p. (2021; Zbl 07500741) Full Text: DOI OpenURL
Engels, Thomas; Schneider, Kai; Reiss, Julius; Farge, Marie A wavelet-adaptive method for multiscale simulation of turbulent flows in flying insects. (English) Zbl 1473.65101 Commun. Comput. Phys. 30, No. 4, 1118-1149 (2021). MSC: 65M06 65M50 65M55 65M85 65T60 76M20 76D05 76Z10 PDF BibTeX XML Cite \textit{T. Engels} et al., Commun. Comput. Phys. 30, No. 4, 1118--1149 (2021; Zbl 1473.65101) Full Text: DOI arXiv OpenURL
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes. (English) Zbl 1474.65379 Commun. Comput. Phys. 29, No. 4, 1030-1058 (2021). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{J. Zhu} et al., Commun. Comput. Phys. 29, No. 4, 1030--1058 (2021; Zbl 1474.65379) Full Text: DOI OpenURL
Kaiser, J. W. J.; Appel, D.; Fritz, F.; Adami, S.; Adams, N. A. A multiresolution local-timestepping scheme for particle-laden multiphase flow simulations using a level-set and point-particle approach. (English) Zbl 07415264 Comput. Methods Appl. Mech. Eng. 384, Article ID 113966, 22 p. (2021). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{J. W. J. Kaiser} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113966, 22 p. (2021; Zbl 07415264) Full Text: DOI OpenURL
Wang, Zhenming; Zhu, Jun; Yang, Yuchen; Tian, Linlin; Zhao, Ning A class of robust low dissipation nested multi-resolution WENO schemes for solving hyperbolic conservation laws. (English) Zbl 07409150 Adv. Appl. Math. Mech. 13, No. 5, 1064-1095 (2021). MSC: 65N06 35L65 65M06 PDF BibTeX XML Cite \textit{Z. Wang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1064--1095 (2021; Zbl 07409150) Full Text: DOI OpenURL
Gomes, Anna Karina Fontes; Domingues, Margarete Oliveira; Mendes, Odim; Schneider, Kai Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. (English) Zbl 1465.65083 Adv. Comput. Math. 47, No. 2, Paper No. 22, 29 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M50 65T60 76W05 35Q35 PDF BibTeX XML Cite \textit{A. K. F. Gomes} et al., Adv. Comput. Math. 47, No. 2, Paper No. 22, 29 p. (2021; Zbl 1465.65083) Full Text: DOI arXiv OpenURL
Lopes, Müller Moreira; Domingues, Margarete Oliveira; Deiterding, Ralf; Mendes, Odim Magnetohydrodynamics adaptive solvers in the AMROC framework for space plasma applications. (English) Zbl 1467.76039 Deiterding, Ralf (ed.) et al., Cartesian CFD methods for complex applications. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 14–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 3, 93-122 (2021). MSC: 76M20 76M12 76X05 76W05 65Y05 PDF BibTeX XML Cite \textit{M. M. Lopes} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 3, 93--122 (2021; Zbl 1467.76039) Full Text: DOI OpenURL
Zhu, Jun; Shu, Chi-Wang Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study. (English) Zbl 1476.65200 Commun. Appl. Math. Comput. 2, No. 3, 429-460 (2020). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{C.-W. Shu}, Commun. Appl. Math. Comput. 2, No. 3, 429--460 (2020; Zbl 1476.65200) Full Text: DOI OpenURL
Sun, Zheng; Wang, Shuyi; Chang, Lo-Bin; Xing, Yulong; Xiu, Dongbin Convolution neural network shock detector for numerical solution of conservation laws. (English) Zbl 07419160 Commun. Comput. Phys. 28, No. 5, 2075-2108 (2020). MSC: 65-XX 35L65 35L67 65M06 65M99 PDF BibTeX XML Cite \textit{Z. Sun} et al., Commun. Comput. Phys. 28, No. 5, 2075--2108 (2020; Zbl 07419160) Full Text: DOI OpenURL
Zhu, Jun; Shu, Chi-Wang A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. (English) Zbl 1453.65266 J. Comput. Phys. 406, Article ID 109212, 14 p. (2020). MSC: 65M08 76M12 35L65 76L05 76H05 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 406, Article ID 109212, 14 p. (2020; Zbl 1453.65266) Full Text: DOI OpenURL
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. (English) Zbl 1453.65351 J. Comput. Phys. 404, Article ID 109105, 18 p. (2020). MSC: 65M60 35L65 76M10 76L05 PDF BibTeX XML Cite \textit{J. Zhu} et al., J. Comput. Phys. 404, Article ID 109105, 18 p. (2020; Zbl 1453.65351) 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
Deiterding, Ralf; Domingues, Margarete Oliveira; Schneider, Kai Multiresolution analysis as a criterion for effective dynamic mesh adaptation – a case study for Euler equations in the SAMR framework AMROC. (English) Zbl 07211851 Comput. Fluids 205, Article ID 104583, 19 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{R. Deiterding} et al., Comput. Fluids 205, Article ID 104583, 19 p. (2020; Zbl 07211851) Full Text: DOI HAL OpenURL
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes. (English) Zbl 1436.65118 Appl. Numer. Math. 153, 519-539 (2020). MSC: 65M06 65M60 35L65 65M08 65L06 PDF BibTeX XML Cite \textit{J. Zhu} et al., Appl. Numer. Math. 153, 519--539 (2020; Zbl 1436.65118) Full Text: DOI OpenURL
Zhao, Guo-Yan; Sun, Ming-Bo; Pirozzoli, Sergio On shock sensors for hybrid compact/WENO schemes. (English) Zbl 07163732 Comput. Fluids 199, Article ID 104439, 17 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{G.-Y. Zhao} et al., Comput. Fluids 199, Article ID 104439, 17 p. (2020; Zbl 07163732) Full Text: DOI OpenURL
Zhu, Jun; Shu, Chi-Wang A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. (English) Zbl 1452.76143 J. Comput. Phys. 392, 19-33 (2019). MSC: 76M12 65M08 35L65 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 392, 19--33 (2019; Zbl 1452.76143) Full Text: DOI OpenURL
Moreira Lopes, Müller; Domingues, Margarete Oliveira; Schneider, Kai; Mendes, Odim Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods. (English) Zbl 1451.65121 J. Comput. Phys. 382, 291-318 (2019). MSC: 65M08 65M50 65L06 76N15 35K57 PDF BibTeX XML Cite \textit{M. Moreira Lopes} et al., J. Comput. Phys. 382, 291--318 (2019; Zbl 1451.65121) Full Text: DOI arXiv OpenURL
Siripatana, A.; Giraldi, L.; Le Maître, O. P.; Knio, O. M.; Hoteit, I. Combining ensemble Kalman filter and multiresolution analysis for efficient assimilation into adaptive mesh models. (English) Zbl 1427.65232 Comput. Geosci. 23, No. 6, 1259-1276 (2019). MSC: 65M50 PDF BibTeX XML Cite \textit{A. Siripatana} et al., Comput. Geosci. 23, No. 6, 1259--1276 (2019; Zbl 1427.65232) Full Text: DOI HAL OpenURL
Yousefi, Hassan; Rabczuk, Timon Multiresolution-based adaptive central high resolution schemes for modeling of nonlinear propagating fronts. (English) Zbl 1464.65094 Eng. Anal. Bound. Elem. 103, 172-195 (2019). MSC: 65M06 65T60 PDF BibTeX XML Cite \textit{H. Yousefi} and \textit{T. Rabczuk}, Eng. Anal. Bound. Elem. 103, 172--195 (2019; Zbl 1464.65094) Full Text: DOI OpenURL
Yousefi, Hassan; Mohammadi, Soheil; Rabczuk, Timon Multiscale polynomial-based high-order central high resolution schemes. (English) Zbl 1450.65091 J. Sci. Comput. 80, No. 1, 555-613 (2019). MSC: 65M06 65M12 65D05 65M50 PDF BibTeX XML Cite \textit{H. Yousefi} et al., J. Sci. Comput. 80, No. 1, 555--613 (2019; Zbl 1450.65091) Full Text: DOI OpenURL
Oliveira Domingues, Margarete; Deiterding, Ralf; Moreira Lopes, Muller; Fontes Gomes, Anna Karina; Mendes, Odim; Schneider, Kai Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework. (English) Zbl 07083218 Comput. Fluids 190, 374-381 (2019). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Oliveira Domingues} et al., Comput. Fluids 190, 374--381 (2019; Zbl 07083218) Full Text: DOI arXiv Link OpenURL
Zhu, Jun; Shu, Chi-Wang A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. (English) Zbl 1416.65286 J. Comput. Phys. 375, 659-683 (2018). MSC: 65M06 65M08 76M12 76M20 35L65 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 375, 659--683 (2018; Zbl 1416.65286) Full Text: DOI OpenURL
Pan, Shucheng; Han, Luhui; Hu, Xiangyu; Adams, Nikolaus A. A conservative interface-interaction method for compressible multi-material flows. (English) Zbl 1415.76503 J. Comput. Phys. 371, 870-895 (2018). MSC: 76M25 76M12 76N15 76T30 PDF BibTeX XML Cite \textit{S. Pan} et al., J. Comput. Phys. 371, 870--895 (2018; Zbl 1415.76503) Full Text: DOI arXiv OpenURL
Deriaz, Erwan; Peirani, Sébastien Six-dimensional adaptive simulation of the Vlasov equations using a hierarchical basis. (English) Zbl 1393.65009 Multiscale Model. Simul. 16, No. 2, 583-614 (2018). MSC: 65M06 65M50 85-08 35Q83 PDF BibTeX XML Cite \textit{E. Deriaz} and \textit{S. Peirani}, Multiscale Model. Simul. 16, No. 2, 583--614 (2018; Zbl 1393.65009) Full Text: DOI OpenURL
Abgrall, R.; Congedo, P. M.; Geraci, G. Towards a unified multiresolution scheme for treating discontinuities in differential equations with uncertainties. (English) Zbl 07313844 Math. Comput. Simul. 139, 1-22 (2017). MSC: 65Cxx 60Hxx PDF BibTeX XML Cite \textit{R. Abgrall} et al., Math. Comput. Simul. 139, 1--22 (2017; Zbl 07313844) Full Text: DOI OpenURL
Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Guillet, Thomas; Louvet, Violaine; Massot, Marc Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures. (English) Zbl 1416.65184 SMAI J. Comput. Math. 3, 29-51 (2017). MSC: 65L04 65Y05 65M20 65M50 35K57 PDF BibTeX XML Cite \textit{S. Descombes} et al., SMAI J. Comput. Math. 3, 29--51 (2017; Zbl 1416.65184) Full Text: DOI arXiv 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
Amat, Sergio; Blázquez, Pedro J.; Busquier, Sonia; Bermúdez, Concepción Wavelets for the Maxwell’s equations: an overview. (English) Zbl 1367.65198 J. Comput. Appl. Math. 321, 555-565 (2017). MSC: 65T60 35Q61 PDF BibTeX XML Cite \textit{S. Amat} et al., J. Comput. Appl. Math. 321, 555--565 (2017; Zbl 1367.65198) Full Text: DOI OpenURL
Soni, V.; Roussel, O.; Hadjadj, A. On the accuracy and efficiency of point-value multiresolution algorithms for solving scalar wave and Euler equations. (English) Zbl 1365.65198 J. Comput. Appl. Math. 323, 159-175 (2017). MSC: 65M06 35L05 65M20 PDF BibTeX XML Cite \textit{V. Soni} et al., J. Comput. Appl. Math. 323, 159--175 (2017; Zbl 1365.65198) Full Text: DOI OpenURL
Gerhard, Nils; Müller, Siegfried Adaptive multiresolution discontinuous Galerkin schemes for conservation laws: multi-dimensional case. (English) Zbl 1372.65271 Comput. Appl. Math. 35, No. 2, 321-349 (2016). MSC: 65M60 35L65 65T60 65M50 PDF BibTeX XML Cite \textit{N. Gerhard} and \textit{S. Müller}, Comput. Appl. Math. 35, No. 2, 321--349 (2016; Zbl 1372.65271) Full Text: DOI Link OpenURL
Vega, Carlos A.; Arias, Francisco Numerical simulations of a polydisperse sedimentation model by using spectral WENO method with adaptive multiresolution. (English) Zbl 1359.65163 Int. J. Comput. Methods 13, No. 6, Article ID 1650037, 17 p. (2016). MSC: 65M06 PDF BibTeX XML Cite \textit{C. A. Vega} and \textit{F. Arias}, Int. J. Comput. Methods 13, No. 6, Article ID 1650037, 17 p. (2016; Zbl 1359.65163) Full Text: DOI OpenURL
Chiavassa, G.; Martí, M. C.; Mulet, P. Hybrid WENO schemes for polydisperse sedimentation models. (English) Zbl 1359.76301 Int. J. Comput. Math. 93, No. 11, 1801-1817 (2016). MSC: 76T20 35L65 65M06 86-08 86A05 PDF BibTeX XML Cite \textit{G. Chiavassa} et al., Int. J. Comput. Math. 93, No. 11, 1801--1817 (2016; Zbl 1359.76301) Full Text: DOI OpenURL
Deiterding, Ralf; Domingues, Margarete O.; Gomes, Sônia M.; Schneider, Kai Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations. (English) Zbl 1457.65069 SIAM J. Sci. Comput. 38, No. 5, S173-S193 (2016). MSC: 65M08 65N08 65M50 65M06 65M12 65Y20 76L05 76N06 76M12 35Q31 PDF BibTeX XML Cite \textit{R. Deiterding} et al., SIAM J. Sci. Comput. 38, No. 5, S173--S193 (2016; Zbl 1457.65069) Full Text: DOI arXiv OpenURL
Geraci, Gianluca; Congedo, Pietro Marco; Abgrall, Rémi; Iaccarino, Gianluca A novel weakly-intrusive non-linear multiresolution framework for uncertainty quantification in hyperbolic partial differential equations. (English) Zbl 1338.65011 J. Sci. Comput. 66, No. 1, 358-405 (2016). MSC: 65C30 60H15 60H35 35L05 35R60 PDF BibTeX XML Cite \textit{G. Geraci} et al., J. Sci. Comput. 66, No. 1, 358--405 (2016; Zbl 1338.65011) Full Text: DOI OpenURL
Kolomenskiy, Dmitry; Nave, Jean-Christophe; Schneider, Kai Adaptive gradient-augmented level set method with multiresolution error estimation. (English) Zbl 1338.35290 J. Sci. Comput. 66, No. 1, 116-140 (2016). MSC: 35L65 35Q35 65M25 65M50 PDF BibTeX XML Cite \textit{D. Kolomenskiy} et al., J. Sci. Comput. 66, No. 1, 116--140 (2016; Zbl 1338.35290) Full Text: DOI arXiv OpenURL
Tenaud, Christian; Roussel, Olivier; Bentaleb, Linda Unsteady compressible flow computations using an adaptive multiresolution technique coupled with a high-order one-step shock-capturing scheme. (English) Zbl 1390.76522 Comput. Fluids 120, 111-125 (2015). MSC: 76M12 65M08 76L05 76Nxx PDF BibTeX XML Cite \textit{C. Tenaud} et al., Comput. Fluids 120, 111--125 (2015; Zbl 1390.76522) Full Text: DOI HAL OpenURL
Abgrall, R.; Congedo, P. M.; Geraci, G.; Rodio, M. G. Stochastic discrete equation method (SDEM) for two-phase flows. (English) Zbl 1351.76044 J. Comput. Phys. 299, 281-306 (2015). MSC: 76M10 65M60 35R60 65M75 76Txx PDF BibTeX XML Cite \textit{R. Abgrall} et al., J. Comput. Phys. 299, 281--306 (2015; Zbl 1351.76044) Full Text: DOI OpenURL
Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne A numerical strategy to discretize and solve the Poisson equation on dynamically adapted multiresolution grids for time-dependent streamer discharge simulations. (English) Zbl 1352.65429 J. Comput. Phys. 289, 129-148 (2015). MSC: 65N08 65N50 PDF BibTeX XML Cite \textit{M. Duarte} et al., J. Comput. Phys. 289, 129--148 (2015; Zbl 1352.65429) Full Text: DOI arXiv OpenURL
Gerhard, Nils; Caviedes-Voullième, Daniel; Müller, Siegfried; Kesserwani, Georges Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations. (English) Zbl 1349.76206 J. Comput. Phys. 301, 265-288 (2015). MSC: 76M10 65M60 65T60 76B15 PDF BibTeX XML Cite \textit{N. Gerhard} et al., J. Comput. Phys. 301, 265--288 (2015; Zbl 1349.76206) Full Text: DOI Link OpenURL
Aràndiga, Francesc; Noguera, José Jaime Reconstructions that combine interpolation with least squares fitting. (English) Zbl 1329.65039 Appl. Numer. Math. 97, 30-41 (2015). MSC: 65D05 65D10 41A05 PDF BibTeX XML Cite \textit{F. Aràndiga} and \textit{J. J. Noguera}, Appl. Numer. Math. 97, 30--41 (2015; Zbl 1329.65039) Full Text: DOI OpenURL
Gomes, Anna Karina Fontes; Domingues, Margarete Oliveira; Schneider, Kai; Mendes, Odim; Deiterding, Ralf An adaptive multiresolution method for ideal magnetohydrodynamics using divergence cleaning with parabolic-hyperbolic correction. (English) Zbl 1320.76080 Appl. Numer. Math. 95, 199-213 (2015). MSC: 76M12 65M08 76W05 PDF BibTeX XML Cite \textit{A. K. F. Gomes} et al., Appl. Numer. Math. 95, 199--213 (2015; Zbl 1320.76080) Full Text: DOI arXiv OpenURL
Gerhard, Nils; Iacono, Francesca; May, Georg; Müller, Siegfried; Schäfer, Roland A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows. (English) Zbl 1462.65141 J. Sci. Comput. 62, No. 1, 25-52 (2015). MSC: 65M60 65N30 65L06 65N50 65T60 76N06 35Q31 PDF BibTeX XML Cite \textit{N. Gerhard} et al., J. Sci. Comput. 62, No. 1, 25--52 (2015; Zbl 1462.65141) Full Text: DOI OpenURL
Qin, Xinqiang; Fang, Baoyan; Tian, Shuangliang; Tong, Xiaohong; Wang, Zhigang; Su, Lijun The existence and uniqueness of solution to wavelet collocation. (English) Zbl 1410.65400 Appl. Math. Comput. 231, 63-72 (2014). MSC: 65M70 65T60 65M60 PDF BibTeX XML Cite \textit{X. Qin} et al., Appl. Math. Comput. 231, 63--72 (2014; Zbl 1410.65400) Full Text: DOI OpenURL
Vuik, Mathea J.; Ryan, Jennifer K. Multiwavelet troubled-cell indicator for discontinuity detection of discontinuous Galerkin schemes. (English) Zbl 1349.65490 J. Comput. Phys. 270, 138-160 (2014). MSC: 65M60 65T60 35F31 PDF BibTeX XML Cite \textit{M. J. Vuik} and \textit{J. K. Ryan}, J. Comput. Phys. 270, 138--160 (2014; Zbl 1349.65490) Full Text: DOI arXiv OpenURL
Donat, Rosa; Martí, M. Carmen; Martínez-Gavara, Anna; Mulet, Pep Well-balanced adaptive mesh refinement for shallow water flows. (English) Zbl 1349.76454 J. Comput. Phys. 257, Part A, 937-953 (2014). MSC: 76M20 65M06 65M50 76B15 PDF BibTeX XML Cite \textit{R. Donat} et al., J. Comput. Phys. 257, Part A, 937--953 (2014; Zbl 1349.76454) Full Text: DOI OpenURL
Abgrall, R.; Congedo, P. M.; Geraci, G. A one-time truncate and encode multiresolution stochastic framework. (English) Zbl 1349.65004 J. Comput. Phys. 257, Part A, 19-56 (2014). MSC: 65C05 60H35 PDF BibTeX XML Cite \textit{R. Abgrall} et al., J. Comput. Phys. 257, Part A, 19--56 (2014; Zbl 1349.65004) Full Text: DOI Link OpenURL
Dahmen, Wolfgang; Gotzen, Thomas; Melian, Sorana; Müller, Siegfried Numerical simulation of cooling gas injection using adaptive multiresolution techniques. (English) Zbl 1365.76148 Comput. Fluids 71, 65-82 (2013). MSC: 76M12 76Nxx PDF BibTeX XML Cite \textit{W. Dahmen} et al., Comput. Fluids 71, 65--82 (2013; Zbl 1365.76148) Full Text: DOI OpenURL
Domingues, M. O.; Gomes, A. K. F.; Gomes, S. M.; Mendes, O.; Di Pierro, B.; Schneider, K. Extended generalized Lagrangian multipliers for magnetohydrodynamics using adaptive multiresolution methods. (English. French summary) Zbl 1329.76202 ESAIM, Proc. 43, 95-107 (2013). MSC: 76M12 65M08 76W05 PDF BibTeX XML Cite \textit{M. O. Domingues} et al., ESAIM, Proc. 43, 95--107 (2013; Zbl 1329.76202) Full Text: DOI OpenURL
Bürger, Raimund; Mulet, Pep; Villada, Luis Miguel Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. (English) Zbl 1277.76115 ZAMM, Z. Angew. Math. Mech. 93, No. 6-7, 373-386 (2013). MSC: 76T20 65M06 35L65 76S05 PDF BibTeX XML Cite \textit{R. Bürger} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 6--7, 373--386 (2013; Zbl 1277.76115) Full Text: DOI OpenURL
Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne; Descombes, Stéphane; Dumont, Thierry A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. (English) Zbl 1406.76063 J. Comput. Phys. 231, No. 3, 1002-1019 (2012). MSC: 76M20 76X05 PDF BibTeX XML Cite \textit{M. Duarte} et al., J. Comput. Phys. 231, No. 3, 1002--1019 (2012; Zbl 1406.76063) Full Text: DOI arXiv OpenURL
Baeza, Antonio; Martínez-Gavara, Anna; Mulet, Pep Adaptation based on interpolation errors for high order mesh refinement methods applied to conservation laws. (English) Zbl 1241.65080 Appl. Numer. Math. 62, No. 4, 278-296 (2012). MSC: 65M50 35L05 65M06 65M20 PDF BibTeX XML Cite \textit{A. Baeza} et al., Appl. Numer. Math. 62, No. 4, 278--296 (2012; Zbl 1241.65080) Full Text: DOI OpenURL
Archibald, Rick; Fann, George; Shelton, William Adaptive discontinuous Galerkin methods in multiwavelets bases. (English) Zbl 1216.65126 Appl. Numer. Math. 61, No. 7, 879-890 (2011). MSC: 65M60 35L65 65T60 PDF BibTeX XML Cite \textit{R. Archibald} et al., Appl. Numer. Math. 61, No. 7, 879--890 (2011; Zbl 1216.65126) Full Text: DOI OpenURL
Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai Adaptive multiresolution methods for the simulation of waves in excitable media. (English) Zbl 1203.65158 J. Sci. Comput. 43, No. 2, 261-290 (2010). MSC: 65M08 92C30 PDF BibTeX XML Cite \textit{R. Bürger} et al., J. Sci. Comput. 43, No. 2, 261--290 (2010; Zbl 1203.65158) Full Text: DOI OpenURL
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology. (English) Zbl 1206.92004 Numer. Methods Partial Differ. Equations 26, No. 6, 1377-1404 (2010). MSC: 92C05 35Q92 65N99 92C30 65C20 92C50 37N25 65L06 PDF BibTeX XML Cite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 26, No. 6, 1377--1404 (2010; Zbl 1206.92004) Full Text: DOI arXiv Link OpenURL
Roussel, Olivier; Schneider, Kai Coherent vortex simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods. (English) Zbl 1303.76137 J. Comput. Phys. 229, No. 6, 2267-2286 (2010). MSC: 76V05 65M08 80A32 PDF BibTeX XML Cite \textit{O. Roussel} and \textit{K. Schneider}, J. Comput. Phys. 229, No. 6, 2267--2286 (2010; Zbl 1303.76137) Full Text: DOI OpenURL
Müller, Siegfried; Helluy, Philippe; Ballmann, Josef Numerical simulation of a single bubble by compressible two-phase fluids. (English) Zbl 1423.76457 Int. J. Numer. Methods Fluids 62, No. 6, 591-631 (2010). MSC: 76T10 76N15 76M12 PDF BibTeX XML Cite \textit{S. Müller} et al., Int. J. Numer. Methods Fluids 62, No. 6, 591--631 (2010; Zbl 1423.76457) Full Text: DOI OpenURL
Boiron, O.; Chiavassa, G.; Donat, R. A high-resolution penalization method for large Mach number flows in the presence of obstacles. (English) Zbl 1193.76097 Comput. Fluids 38, No. 3, 703-714 (2009). MSC: 76M25 76D05 76L05 PDF BibTeX XML Cite \textit{O. Boiron} et al., Comput. Fluids 38, No. 3, 703--714 (2009; Zbl 1193.76097) Full Text: DOI HAL OpenURL
Domingues, Margarete O.; Roussel, Olivier; Schneider, Kai An adaptive multiresolution method for parabolic PDEs with time-step control. (English) Zbl 1183.76816 Int. J. Numer. Methods Eng. 78, No. 6, 652-670 (2009). MSC: 76M12 76M20 76V05 76D99 PDF BibTeX XML Cite \textit{M. O. Domingues} et al., Int. J. Numer. Methods Eng. 78, No. 6, 652--670 (2009; Zbl 1183.76816) Full Text: DOI OpenURL
Manzini, Gianmarco An efficient and conservative hybrid method for solving multidimensional conservation laws. (English) Zbl 1183.65104 Numer. Methods Partial Differ. Equations 25, No. 5, 1029-1066 (2009). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 35L65 65M08 65L06 65Y20 PDF BibTeX XML Cite \textit{G. Manzini}, Numer. Methods Partial Differ. Equations 25, No. 5, 1029--1066 (2009; Zbl 1183.65104) Full Text: DOI OpenURL
Kozakevicius, A. J.; Santos, L. C. C. ENO adaptive method for solving one-dimensional conservation laws. (English) Zbl 1167.65421 Appl. Numer. Math. 59, No. 9, 2337-2355 (2009). MSC: 65M06 65L06 35L65 76N15 76M20 65T60 PDF BibTeX XML Cite \textit{A. J. Kozakevicius} and \textit{L. C. C. Santos}, Appl. Numer. Math. 59, No. 9, 2337--2355 (2009; Zbl 1167.65421) Full Text: DOI OpenURL
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai Space-time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations. (English) Zbl 1165.76031 Appl. Numer. Math. 59, No. 9, 2303-2321 (2009). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{M. O. Domingues} et al., Appl. Numer. Math. 59, No. 9, 2303--2321 (2009; Zbl 1165.76031) Full Text: DOI OpenURL
Bendahmane, Mostafa; Bürger, Raimund; Ruiz-Baier, Ricardo; Schneider, Kai Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems. (English) Zbl 1400.65042 Appl. Numer. Math. 59, No. 7, 1668-1692 (2009). MSC: 65M06 35K20 35K57 76T20 92C17 PDF BibTeX XML Cite \textit{M. Bendahmane} et al., Appl. Numer. Math. 59, No. 7, 1668--1692 (2009; Zbl 1400.65042) Full Text: DOI arXiv OpenURL
Müller, Siegfried; Stiriba, Youssef A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows. (English) Zbl 1160.76030 J. Comput. Appl. Math. 227, No. 2, 223-233 (2009). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{S. Müller} and \textit{Y. Stiriba}, J. Comput. Appl. Math. 227, No. 2, 223--233 (2009; Zbl 1160.76030) Full Text: DOI OpenURL
Yee, H. C.; Sjögreen, B. Adaptive filtering and limiting in compact high order methods for multiscale gas dynamics and MHD systems. (English) Zbl 1237.76111 Comput. Fluids 37, No. 5, 593-619 (2008). MSC: 76M20 76W05 PDF BibTeX XML Cite \textit{H. C. Yee} and \textit{B. Sjögreen}, Comput. Fluids 37, No. 5, 593--619 (2008; Zbl 1237.76111) Full Text: DOI Link OpenURL
Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension. (English) Zbl 1147.65066 ESAIM, Math. Model. Numer. Anal. 42, No. 4, 535-563 (2008). MSC: 65M06 35R05 76T20 35K65 65M12 76M12 65M50 65M15 PDF BibTeX XML Cite \textit{R. Bürger} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 4, 535--563 (2008; Zbl 1147.65066) Full Text: DOI arXiv EuDML OpenURL
Besse, Nicolas; Latu, Guillaume; Ghizzo, Alain; Sonnendrücker, Eric; Bertrand, Pierre A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system. (English) Zbl 1194.83013 J. Comput. Phys. 227, No. 16, 7889-7916 (2008). MSC: 83C05 83C55 65M15 65P40 83-04 PDF BibTeX XML Cite \textit{N. Besse} et al., J. Comput. Phys. 227, No. 16, 7889--7916 (2008; Zbl 1194.83013) Full Text: DOI OpenURL
Smith, C. W.; Zang, J.; Eatock Taylor, R. Wavelet-based adaptive grids as applied to hydrodynamics. (English) Zbl 1139.76039 Int. J. Numer. Methods Fluids 57, No. 7, 877-903 (2008). MSC: 76M12 76B15 65T60 PDF BibTeX XML Cite \textit{C. W. Smith} et al., Int. J. Numer. Methods Fluids 57, No. 7, 877--903 (2008; Zbl 1139.76039) Full Text: DOI OpenURL
Domingues, Margarete O.; Gomes, Sônia M.; Roussel, Olivier; Schneider, Kai An adaptive multiresolution scheme with local time stepping for evolutionary PDEs. (English) Zbl 1139.65060 J. Comput. Phys. 227, No. 8, 3758-3780 (2008). MSC: 65M06 35K55 65M20 65M12 65M50 65L06 PDF BibTeX XML Cite \textit{M. O. Domingues} et al., J. Comput. Phys. 227, No. 8, 3758--3780 (2008; Zbl 1139.65060) Full Text: DOI OpenURL
Bürger, Raimund; Ruiz, Ricardo; Schneider, Kai; Sepúlveda, Mauricio A. Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux. (English) Zbl 1137.65393 J. Eng. Math. 60, No. 3-4, 365-385 (2008). MSC: 65M06 35K55 35K65 90B20 PDF BibTeX XML Cite \textit{R. Bürger} et al., J. Eng. Math. 60, No. 3--4, 365--385 (2008; Zbl 1137.65393) Full Text: DOI arXiv Link OpenURL
Dwight, Richard P. Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation. (English) Zbl 1169.76039 J. Comput. Phys. 227, No. 5, 2845-2863 (2008). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{R. P. Dwight}, J. Comput. Phys. 227, No. 5, 2845--2863 (2008; Zbl 1169.76039) Full Text: DOI OpenURL
Tang, Lingyan; Song, Songhe A multiresolution finite volume scheme for two-dimensional hyperbolic conservation laws. (English) Zbl 1135.65367 J. Comput. Appl. Math. 214, No. 2, 583-595 (2008). MSC: 65M06 65M12 65M50 35L65 PDF BibTeX XML Cite \textit{L. Tang} and \textit{S. Song}, J. Comput. Appl. Math. 214, No. 2, 583--595 (2008; Zbl 1135.65367) Full Text: DOI OpenURL
Campos Pinto, Martin; Mehrenberger, Michel Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system. (English) Zbl 1187.65108 Numer. Math. 108, No. 3, 407-444 (2008). Reviewer: B. S. Bhatt (St. Augustine) MSC: 65M50 82D10 PDF BibTeX XML Cite \textit{M. Campos Pinto} and \textit{M. Mehrenberger}, Numer. Math. 108, No. 3, 407--444 (2008; Zbl 1187.65108) Full Text: DOI OpenURL
Yee, H. C.; Sjögreen, B. Simulation of Richtmyer-Meshkov instability by sixth-order filter methods. (English) Zbl 1195.76188 Shock Waves 17, No. 3, 185-193 (2007). MSC: 76E17 76L05 76M12 PDF BibTeX XML Cite \textit{H. C. Yee} and \textit{B. Sjögreen}, Shock Waves 17, No. 3, 185--193 (2007; Zbl 1195.76188) Full Text: DOI OpenURL
Yee, H. C.; Sjögreen, B. Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems. (English) Zbl 1343.76053 J. Comput. Phys. 225, No. 1, 910-934 (2007). MSC: 76M25 76F99 76L05 76W05 65M99 PDF BibTeX XML Cite \textit{H. C. Yee} and \textit{B. Sjögreen}, J. Comput. Phys. 225, No. 1, 910--934 (2007; Zbl 1343.76053) Full Text: DOI OpenURL
Bürger, Raimund; Kozakevicius, Alice Adaptive multiresolution WENO schemes for multi-species kinematic flow models. (English) Zbl 1123.65305 J. Comput. Phys. 224, No. 2, 1190-1222 (2007). MSC: 65M06 90B20 76T20 PDF BibTeX XML Cite \textit{R. Bürger} and \textit{A. Kozakevicius}, J. Comput. Phys. 224, No. 2, 1190--1222 (2007; Zbl 1123.65305) Full Text: DOI OpenURL
Müller, Siegfried; Stiriba, Youssef Fully adaptive multiscale schemes for conservation laws employing locally varying time stepping. (English) Zbl 1110.76037 J. Sci. Comput. 30, No. 3, 493-531 (2007). MSC: 76M12 76L05 35L65 PDF BibTeX XML Cite \textit{S. Müller} and \textit{Y. Stiriba}, J. Sci. Comput. 30, No. 3, 493--531 (2007; Zbl 1110.76037) Full Text: DOI OpenURL
Léonard, S.; Terracol, Marc; Sagaut, Pierre A wavelet-based adaptive mesh refinement criterion for large-eddy simulation. (English) Zbl 1273.76208 J. Turbul. 7, Paper No. 64, 25 p. (2006). MSC: 76F65 76M25 65T50 PDF BibTeX XML Cite \textit{S. Léonard} et al., J. Turbul. 7, Paper No. 64, 25 p. (2006; Zbl 1273.76208) Full Text: DOI OpenURL
Roussel, Olivier; Schneider, Kai Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme. (English) Zbl 1121.80330 Combust. Theory Model. 10, No. 2, 273-288 (2006). MSC: 80A25 80A30 80M25 PDF BibTeX XML Cite \textit{O. Roussel} and \textit{K. Schneider}, Combust. Theory Model. 10, No. 2, 273--288 (2006; Zbl 1121.80330) Full Text: DOI OpenURL
Roussel, Olivier; Schneider, Kai Numerical study of thermodiffusive flame structures interacting with adiabatic walls using an adaptive multiresolution scheme. (English) Zbl 1121.80329 Combust. Theory Model. 10, No. 2, 273-288 (2006). MSC: 80A25 80M20 80M25 PDF BibTeX XML Cite \textit{O. Roussel} and \textit{K. Schneider}, Combust. Theory Model. 10, No. 2, 273--288 (2006; Zbl 1121.80329) Full Text: DOI OpenURL
Alam, Jahrul M.; Kevlahan, Nicholas K.-R.; Vasilyev, Oleg V. Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations. (English) Zbl 1089.65103 J. Comput. Phys. 214, No. 2, 829-857 (2006). MSC: 65M70 35K55 35Q53 65M55 65M15 PDF BibTeX XML Cite \textit{J. M. Alam} et al., J. Comput. Phys. 214, No. 2, 829--857 (2006; Zbl 1089.65103) Full Text: DOI OpenURL
Roussel, Olivier; Schneider, Kai Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges. (English) Zbl 1089.80003 Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 463-480 (2006). MSC: 80A25 PDF BibTeX XML Cite \textit{O. Roussel} and \textit{K. Schneider}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 463--480 (2006; Zbl 1089.80003) Full Text: DOI OpenURL
Roussel, Olivier; Schneider, Kai An adaptive multiresolution method for combustion problems: application to flame ball-vortex interaction. (English) Zbl 1134.80304 Comput. Fluids 34, No. 7, 817-831 (2005). MSC: 80M25 80A25 76M12 76V05 PDF BibTeX XML Cite \textit{O. Roussel} and \textit{K. Schneider}, Comput. Fluids 34, No. 7, 817--831 (2005; Zbl 1134.80304) Full Text: DOI OpenURL
Roussel, O.; Schneider, K.; Farge, M. Coherent vortex extraction in 3D homogeneous turbulence: comparison between orthogonal and biorthogonal wavelet decompositions. (English) Zbl 1083.76519 J. Turbul. 6, Paper No. 11, 15 p. (2005). MSC: 76F05 76M25 PDF BibTeX XML Cite \textit{O. Roussel} et al., J. Turbul. 6, Paper No. 11, 15 p. (2005; Zbl 1083.76519) Full Text: DOI OpenURL
Lamby, Philipp; Müller, Siegfried; Stiriba, Youssef Solution of shallow water equations using fully adaptive multiscale schemes. (English) Zbl 1086.76050 Int. J. Numer. Methods Fluids 49, No. 4, 417-437 (2005). MSC: 76M12 76B15 86A05 PDF BibTeX XML Cite \textit{P. Lamby} et al., Int. J. Numer. Methods Fluids 49, No. 4, 417--437 (2005; Zbl 1086.76050) Full Text: DOI OpenURL
Vasilyev, Oleg V.; Kevlahan, Nicholas K.-R. An adaptive multilevel wavelet collocation method for elliptic problems. (English) Zbl 1070.65122 J. Comput. Phys. 206, No. 2, 412-431 (2005). MSC: 65N35 65T60 65N12 65Y20 35J25 PDF BibTeX XML Cite \textit{O. V. Vasilyev} and \textit{N. K. R. Kevlahan}, J. Comput. Phys. 206, No. 2, 412--431 (2005; Zbl 1070.65122) Full Text: DOI Link OpenURL
Berzins, M. Preserving positivity for hyperbolic PDEs using variable-order finite elements with bounded polynomials. (English) Zbl 1064.65109 Appl. Numer. Math. 52, No. 2-3, 197-217 (2005). MSC: 65M60 35L45 PDF BibTeX XML Cite \textit{M. Berzins}, Appl. Numer. Math. 52, No. 2--3, 197--217 (2005; Zbl 1064.65109) Full Text: DOI OpenURL
Bramkamp, F.; Lamby, Ph.; Müller, S. An adaptive multiscale finite volume solver for unsteady and steady state flow computations. (English) Zbl 1059.76039 J. Comput. Phys. 197, No. 2, 460-490 (2004). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{F. Bramkamp} et al., J. Comput. Phys. 197, No. 2, 460--490 (2004; Zbl 1059.76039) Full Text: DOI OpenURL
Aràndiga, F.; Baeza, A.; Donat, R. Discrete multiresolution based on Hermite interpolation: computing derivatives. (English) Zbl 1165.65312 Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 263-273 (2004). MSC: 65D05 41A05 41A10 65T60 PDF BibTeX XML Cite \textit{F. Aràndiga} et al., Commun. Nonlinear Sci. Numer. Simul. 9, No. 2, 263--273 (2004; Zbl 1165.65312) Full Text: DOI OpenURL
Ewing, Richard E.; Liu, Jiangguo; Wang, Hong Adaptive biorthogonal spline schemes for advection-reaction equations. (English) Zbl 1056.76065 J. Comput. Phys. 193, No. 1, 21-39 (2004). MSC: 76M25 76R99 65D07 65T60 PDF BibTeX XML Cite \textit{R. E. Ewing} et al., J. Comput. Phys. 193, No. 1, 21--39 (2004; Zbl 1056.76065) Full Text: DOI OpenURL
Sjögreen, Björn; Yee, H. C. Low dissipative high-order numerical simulations of supersonic reactive flows. (English) Zbl 1032.76643 Int. J. Numer. Methods Fluids 43, No. 10-11, 1221-1238 (2003). MSC: 76M20 76V05 76J20 76L05 80A25 PDF BibTeX XML Cite \textit{B. Sjögreen} and \textit{H. C. Yee}, Int. J. Numer. Methods Fluids 43, No. 10--11, 1221--1238 (2003; Zbl 1032.76643) Full Text: DOI OpenURL
Vasilyev, Oleg V. Solving multi-dimensional evolution problems with localized structures using second generation wavelets. (English) Zbl 1034.76045 Int. J. Comput. Fluid Dyn. 17, No. 2, 151-168 (2003). MSC: 76M22 65T60 PDF BibTeX XML Cite \textit{O. V. Vasilyev}, Int. J. Comput. Fluid Dyn. 17, No. 2, 151--168 (2003; Zbl 1034.76045) Full Text: DOI OpenURL
Roussel, Olivier; Schneider, Kai; Tsigulin, Alexei; Bockhorn, Henning A conservative fully adaptive multiresolution algorithm for parabolic PDEs. (English) Zbl 1022.65093 J. Comput. Phys. 188, No. 2, 493-523 (2003). MSC: 65M06 65M15 65Y20 35Q53 35K55 PDF BibTeX XML Cite \textit{O. Roussel} et al., J. Comput. Phys. 188, No. 2, 493--523 (2003; Zbl 1022.65093) Full Text: DOI OpenURL
Cohen, Albert; Kaber, Sidi Mahmoud; Müller, Siegfried; Postel, Marie Fully adaptive multiresolution finite volume schemes for conservation laws. (English) Zbl 1010.65035 Math. Comput. 72, No. 241, 183-225 (2003). Reviewer: Karel Najzar (Praha) MSC: 65M06 65M12 35L65 65T60 65M15 65M50 PDF BibTeX XML Cite \textit{A. Cohen} et al., Math. Comput. 72, No. 241, 183--225 (2003; Zbl 1010.65035) Full Text: DOI OpenURL
Canuto, Claudio Multilevel stabilization devices in CFD. (English) Zbl 1007.76068 Comput. Fluids 31, No. 4-7, 421-436 (2002). MSC: 76M99 76D07 65N12 76R99 PDF BibTeX XML Cite \textit{C. Canuto}, Comput. Fluids 31, No. 4--7, 421--436 (2002; Zbl 1007.76068) Full Text: DOI OpenURL
Lee, Dohyung; Beam, Richard M.; Warming, Robert F. Supercompact multiwavelets for flow field simulation. (English) Zbl 0984.76067 Comput. Fluids 30, No. 7-8, 783-805 (2001). MSC: 76M25 65T60 PDF BibTeX XML Cite \textit{D. Lee} et al., Comput. Fluids 30, No. 7--8, 783--805 (2001; Zbl 0984.76067) Full Text: DOI OpenURL
Dahmen, Wolfgang Wavelet methods for PDEs – some recent developments. (English) Zbl 0974.65101 J. Comput. Appl. Math. 128, No. 1-2, 133-185 (2001). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65N30 35J25 35L15 65T60 65M60 65N55 65M55 65F10 65F35 PDF BibTeX XML Cite \textit{W. Dahmen}, J. Comput. Appl. Math. 128, No. 1--2, 133--185 (2001; Zbl 0974.65101) Full Text: DOI OpenURL