Gerhard, Pierre; Helluy, Philippe; Michel-Dansac, Victor; Weber, Bruno Parallel kinetic schemes for conservation laws, with large time steps. (English) Zbl 07812559 J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65L06 65M12 65M15 65Y05 35Q49 PDFBibTeX XMLCite \textit{P. Gerhard} et al., J. Sci. Comput. 99, No. 1, Paper No. 5, 34 p. (2024; Zbl 07812559) Full Text: DOI arXiv
Higaki, Mitsuo; Prange, Christophe; Zhuge, Jinping Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries. (English) Zbl 07807513 Anal. PDE 17, No. 1, 171-242 (2024). MSC: 35Q30 76D03 76D10 76M50 35B27 35B65 35B05 PDFBibTeX XMLCite \textit{M. Higaki} et al., Anal. PDE 17, No. 1, 171--242 (2024; Zbl 07807513) Full Text: DOI arXiv
Ma, Wenhua; Luo, Dongmi; Li, Shiyi; Qiu, Jianxian; Ni, Guoxi; Chen, Yibing High-order adaptive multi-resolution method on curvilinear grids. I: Finite difference framework. (English) Zbl 07797633 J. Comput. Phys. 498, Article ID 112654, 24 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{W. Ma} et al., J. Comput. Phys. 498, Article ID 112654, 24 p. (2024; Zbl 07797633) Full Text: DOI
Yang, Lei; Liu, Yuan; Jiang, Yan; Zhang, Mengping Discontinuous Galerkin methods for network patterning phase-field models. (English) Zbl 07788949 J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024). MSC: 65M60 65M06 65N30 92C15 35Q92 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Sci. Comput. 98, No. 1, Paper No. 27, 27 p. (2024; Zbl 07788949) Full Text: DOI
Zhang, Xinyuan; Wang, Xiang The Hermite finite volume method with global conservation law. (English) Zbl 07784051 J. Sci. Comput. 98, No. 1, Paper No. 17, 24 p. (2024); correction ibid. 99, No. 1, Paper No. 13, 2 p. (2024). MSC: 65N08 65N30 65N12 65N15 74B10 76D07 35K05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Wang}, J. Sci. Comput. 98, No. 1, Paper No. 17, 24 p. (2024; Zbl 07784051) Full Text: DOI
Herty, Michael; Kolbe, Niklas; Müller, Siegfried Central schemes for networked scalar conservation laws. (English) Zbl 07798635 Netw. Heterog. Media 18, No. 1, 310-340 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35L65 90B20 76T06 PDFBibTeX XMLCite \textit{M. Herty} et al., Netw. Heterog. Media 18, No. 1, 310--340 (2023; Zbl 07798635) Full Text: DOI arXiv
Hérard, Jean-Marc; Jomée, Guillaume Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms. (English) Zbl 07792495 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3537-3583 (2023). MSC: 76T10 35Q35 35L60 PDFBibTeX XMLCite \textit{J.-M. Hérard} and \textit{G. Jomée}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3537--3583 (2023; Zbl 07792495) Full Text: DOI
Kröker, Ilja; Oladyshkin, Sergey; Rybak, Iryna Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. (English) Zbl 1528.76077 Comput. Geosci. 27, No. 5, 805-827 (2023). MSC: 76S05 65C30 65M60 76D07 76M12 35Q35 PDFBibTeX XMLCite \textit{I. Kröker} et al., Comput. Geosci. 27, No. 5, 805--827 (2023; Zbl 1528.76077) Full Text: DOI OA License
Xu, Liang; Liu, Tiegang Ghost-fluid-based sharp interface methods for multi-material dynamics: a review. (English) Zbl 07783555 Commun. Comput. Phys. 34, No. 3, 563-612 (2023). MSC: 35Q31 35Q74 76N10 76T06 76T10 76T30 74F10 74A50 35L45 65M06 65N85 PDFBibTeX XMLCite \textit{L. Xu} and \textit{T. Liu}, Commun. Comput. Phys. 34, No. 3, 563--612 (2023; Zbl 07783555) Full Text: DOI
Nemati Saray, Behzad; Lakestani, Mehrdad; Dehghan, Mehdi On the sparse multiscale representation of 2-D Burgers equations by an efficient algorithm based on multiwavelets. (English) Zbl 07776992 Numer. Methods Partial Differ. Equations 39, No. 3, 1938-1961 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Nemati Saray} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 1938--1961 (2023; Zbl 07776992) Full Text: DOI
Berthon, Christophe; Castro Díaz, Manuel J.; Duran, Arnaud; Morales de Luna, Tomás; Saleh, Khaled Artificial viscosity to get both robustness and discrete entropy inequalities. (English) Zbl 1527.65077 J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35D30 76N10 35Q31 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 97, No. 3, Paper No. 65, 36 p. (2023; Zbl 1527.65077) Full Text: DOI
Bussac, J.; Mathis, H. Simulation of a homogeneous relaxation model for a three-phase mixture with miscible phases. (English) Zbl 07703994 Comput. Math. Appl. 143, 327-347 (2023). MSC: 76M12 76T10 76T30 35Q35 76N15 PDFBibTeX XMLCite \textit{J. Bussac} and \textit{H. Mathis}, Comput. Math. Appl. 143, 327--347 (2023; Zbl 07703994) Full Text: DOI
Daude, F.; Galon, P.; Potapov, S.; Beccantini, A.; Mianné, G. A hyperbolic conservative one-velocity one-pressure barotropic three-component model for fast-transient fluid-structure interaction problems. (English) Zbl 1511.76108 Appl. Math. Comput. 447, Article ID 127919, 30 p. (2023). MSC: 76T30 35L65 PDFBibTeX XMLCite \textit{F. Daude} et al., Appl. Math. Comput. 447, Article ID 127919, 30 p. (2023; Zbl 1511.76108) Full Text: DOI
Alvarez, A. C.; Bruining, J.; Marchesin, D. Nonlinear wave interactions in geochemical modeling. (English) Zbl 1512.35404 J. Differ. Equations 359, 1-22 (2023). MSC: 35L65 35L45 35L60 35L67 PDFBibTeX XMLCite \textit{A. C. Alvarez} et al., J. Differ. Equations 359, 1--22 (2023; Zbl 1512.35404) Full Text: DOI arXiv
Deriaz, Erwan High-order adaptive mesh refinement multigrid Poisson solver in any dimension. (English) Zbl 07662515 J. Comput. Phys. 480, Article ID 112012, 18 p. (2023). MSC: 65Nxx 65Mxx 35Jxx PDFBibTeX XMLCite \textit{E. Deriaz}, J. Comput. Phys. 480, Article ID 112012, 18 p. (2023; Zbl 07662515) Full Text: DOI
Kaur, Navjot; Goyal, Kavita An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method. (English) Zbl 1508.65142 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107110, 19 p. (2023). MSC: 65M70 65M06 65N35 65T60 65D07 65F08 65F35 60H35 35R60 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{K. Goyal}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107110, 19 p. (2023; Zbl 1508.65142) Full Text: DOI
Thein, Ferdinand; Romenski, Evgeniy; Dumbser, Michael Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows. (English) Zbl 1504.35184 J. Sci. Comput. 93, No. 3, Paper No. 83, 60 p. (2022). MSC: 35L03 35Q35 65M08 76Txx PDFBibTeX XMLCite \textit{F. Thein} et al., J. Sci. Comput. 93, No. 3, Paper No. 83, 60 p. (2022; Zbl 1504.35184) Full Text: DOI arXiv
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations. (English) Zbl 07616213 SMAI J. Comput. Math. 8, 161-199 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 65M75 65N50 65N06 65T60 65M15 35L65 41A58 76M28 35Q20 PDFBibTeX XMLCite \textit{T. Bellotti} et al., SMAI J. Comput. Math. 8, 161--199 (2022; Zbl 07616213) Full Text: DOI arXiv
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis. (English) Zbl 07605618 J. Comput. Phys. 471, Article ID 111670, 33 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{T. Bellotti} et al., J. Comput. Phys. 471, Article ID 111670, 33 p. (2022; Zbl 07605618) Full Text: DOI arXiv
Corli, Andrea; Razafison, Ulrich; Rosini, Massimiliano D. Coherence and flow-maximization of a one-way valve. (English) Zbl 1498.35357 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715-1739 (2022). MSC: 35L65 35L67 35Q31 76B75 PDFBibTeX XMLCite \textit{A. Corli} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715--1739 (2022; Zbl 1498.35357) Full Text: DOI arXiv
Wang, Jeremy C. H.; Hickey, Jean-Pierre A class of structurally complete approximate Riemann solvers for trans- and supercritical flows with large gradients. (English) Zbl 07578921 J. Comput. Phys. 468, Article ID 111521, 23 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{J. C. H. Wang} and \textit{J.-P. Hickey}, J. Comput. Phys. 468, Article ID 111521, 23 p. (2022; Zbl 07578921) Full Text: DOI
Bellotti, Thomas; Gouarin, Loïc; Graille, Benjamin; Massot, Marc Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws. (English) Zbl 1513.76102 SIAM J. Sci. Comput. 44, No. 4, A2599-A2627 (2022). MSC: 76M28 65M50 42C40 65M12 35L65 PDFBibTeX XMLCite \textit{T. Bellotti} et al., SIAM J. Sci. Comput. 44, No. 4, A2599--A2627 (2022; Zbl 1513.76102) Full Text: DOI arXiv
Gerhard, Nils; Müller, Siegfried; Sikstel, Aleksey A wavelet-free approach for multiresolution-based grid adaptation for conservation laws. (English) Zbl 1499.35399 Commun. Appl. Math. Comput. 4, No. 1, 108-142 (2022). MSC: 35L65 65M60 PDFBibTeX XMLCite \textit{N. Gerhard} et al., Commun. Appl. Math. Comput. 4, No. 1, 108--142 (2022; Zbl 1499.35399) Full Text: DOI
Tao, Zhanjing; Huang, Juntao; Liu, Yuan; Guo, Wei; Cheng, Yingda An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations. (English) Zbl 1499.65531 Commun. Appl. Math. Comput. 4, No. 1, 60-83 (2022). MSC: 65M60 65L06 65N30 35C08 35B44 35Q55 35Q41 PDFBibTeX XMLCite \textit{Z. Tao} et al., Commun. Appl. Math. Comput. 4, No. 1, 60--83 (2022; Zbl 1499.65531) Full Text: DOI arXiv
Gavrilyuk, Sergey; Hérard, Jean-Marc; Hurisse, Olivier; Toufaili, Ali Theoretical and numerical analysis of a simple model derived from compressible turbulence. (English) Zbl 1491.76037 J. Math. Fluid Mech. 24, No. 2, Paper No. 42, 34 p. (2022). MSC: 76F50 76L05 76M12 35Q35 PDFBibTeX XMLCite \textit{S. Gavrilyuk} et al., J. Math. Fluid Mech. 24, No. 2, Paper No. 42, 34 p. (2022; Zbl 1491.76037) Full Text: DOI
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. (English) Zbl 1482.65176 Commun. Comput. Phys. 31, No. 1, 94-130 (2022). MSC: 65M50 65M60 76B15 35Q35 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 31, No. 1, 94--130 (2022; Zbl 1482.65176) Full Text: DOI arXiv
Liu, Hailiang; Thein, Ferdinand On the invariant region for compressible Euler equations with a general equation of state. (English) Zbl 1501.35298 Commun. Pure Appl. Anal. 20, No. 7-8, 2751-2763 (2021). MSC: 35Q31 35L65 76N15 65M08 PDFBibTeX XMLCite \textit{H. Liu} and \textit{F. Thein}, Commun. Pure Appl. Anal. 20, No. 7--8, 2751--2763 (2021; Zbl 1501.35298) Full Text: DOI arXiv
Jebreen, Haifa Bin; Cano, Yurilev Chalco; Dassios, Ioannis An efficient algorithm based on the multi-wavelet Galerkin method for telegraph equation. (English) Zbl 1484.65224 AIMS Math. 6, No. 2, 1296-1308 (2021). MSC: 65M60 35L20 65M12 65T60 PDFBibTeX XMLCite \textit{H. B. Jebreen} et al., AIMS Math. 6, No. 2, 1296--1308 (2021; Zbl 1484.65224) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 429, Article ID 110006, 24 p. (2021; Zbl 07500741) Full Text: DOI
Yeganeh, Solmaz Mousavi; Farzi, Javad A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws. (English) Zbl 1508.65115 Appl. Math. Comput. 399, Article ID 126013, 13 p. (2021). MSC: 65M25 35L65 PDFBibTeX XMLCite \textit{S. M. Yeganeh} and \textit{J. Farzi}, Appl. Math. Comput. 399, Article ID 126013, 13 p. (2021; Zbl 1508.65115) Full Text: DOI
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 1488.65563 Adv. Appl. Math. Mech. 13, No. 5, 1064-1095 (2021). MSC: 65N06 35L65 65M06 PDFBibTeX XMLCite \textit{Z. Wang} et al., Adv. Appl. Math. Mech. 13, No. 5, 1064--1095 (2021; Zbl 1488.65563) Full Text: DOI
Raeder, Thomas; Tenenev, Valentin A.; Koroleva, Maria R.; Mishchenkova, Olga V. Nonlinear processes in safety systems for substances with parameters close to a critical state. (English) Zbl 1468.35114 Russ. J. Nonlinear Dyn. 17, No. 1, 119-138 (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q35 76N15 76W05 65H10 PDFBibTeX XMLCite \textit{T. Raeder} et al., Russ. J. Nonlinear Dyn. 17, No. 1, 119--138 (2021; Zbl 1468.35114) Full Text: DOI MNR
Zhang, Min; Huang, Weizhang; Qiu, Jianxian A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography. (English) Zbl 1476.65226 J. Sci. Comput. 87, No. 3, Paper No. 88, 43 p. (2021). MSC: 65M50 65M60 76B15 76B25 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Sci. Comput. 87, No. 3, Paper No. 88, 43 p. (2021; Zbl 1476.65226) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Bin Jebreen, H. An efficient algorithm for solving hyperbolic partial differential equations with a nonlocal conservation condition. (English) Zbl 1512.65207 Math. Probl. Eng. 2021, Article ID 6629358, 8 p. (2021). MSC: 65M60 65M12 35L20 PDFBibTeX XMLCite \textit{H. Bin Jebreen}, Math. Probl. Eng. 2021, Article ID 6629358, 8 p. (2021; Zbl 1512.65207) Full Text: DOI
Perrier, Vincent; Gutiérrez, Enrique Derivation and closure of Baer and Nunziato type multiphase models by averaging a simple stochastic model. (English) Zbl 1457.76176 Multiscale Model. Simul. 19, No. 1, 401-439 (2021). MSC: 76T10 76M50 35L65 35L60 PDFBibTeX XMLCite \textit{V. Perrier} and \textit{E. Gutiérrez}, Multiscale Model. Simul. 19, No. 1, 401--439 (2021; Zbl 1457.76176) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{C.-W. Shu}, Commun. Appl. Math. Comput. 2, No. 3, 429--460 (2020; Zbl 1476.65200) Full Text: DOI
Alvarez, A. C.; Goedert, G. T.; Marchesin, D. Resonance in rarefaction and shock curves: local analysis and numerics of the continuation method. (English) Zbl 1478.35142 J. Hyperbolic Differ. Equ. 17, No. 4, 639-676 (2020). MSC: 35L65 35L67 35C06 35D30 76S05 76T30 PDFBibTeX XMLCite \textit{A. C. Alvarez} et al., J. Hyperbolic Differ. Equ. 17, No. 4, 639--676 (2020; Zbl 1478.35142) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 406, Article ID 109212, 14 p. (2020; Zbl 1453.65266) Full Text: DOI
Colombo, Rinaldo M.; Garavello, Mauro On the 1D modeling of fluid flowing through a junction. (English) Zbl 1452.35138 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3917-3929 (2020). MSC: 35Q31 35L65 76N06 35R02 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{M. Garavello}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 3917--3929 (2020; Zbl 1452.35138) Full Text: DOI arXiv
Helluy, Philippe; Hurisse, Olivier; Quibel, Lucie Simulation of a liquid-vapour compressible flow by a lattice Boltzmann method. (English) Zbl 1454.65128 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 665-673 (2020). MSC: 65M75 76M28 76T30 76N99 80A19 35Q79 35Q35 PDFBibTeX XMLCite \textit{P. Helluy} et al., Springer Proc. Math. Stat. 323, 665--673 (2020; Zbl 1454.65128) Full Text: DOI HAL
Giesselmann, Jan; Joshi, Hrishikesh Model adaptation of balance laws based on a posteriori error estimates and surrogate fluxes. (English) Zbl 1454.65117 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 375-383 (2020). MSC: 65M60 68T05 65M12 65M15 76V05 80A32 35Q31 PDFBibTeX XMLCite \textit{J. Giesselmann} and \textit{H. Joshi}, Springer Proc. Math. Stat. 323, 375--383 (2020; Zbl 1454.65117) Full Text: DOI
Kaiser, Jakob W. J.; Hoppe, Nils; Adami, Stefan; Adams, Nikolaus A. An adaptive local time-stepping scheme for multiresolution simulations of hyperbolic conservation laws. (English) Zbl 07785520 J. Comput. Phys.: X 4, Article ID 100038, 14 p. (2019). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. W. J. Kaiser} et al., J. Comput. Phys.: X 4, Article ID 100038, 14 p. (2019; Zbl 07785520) Full Text: DOI
Gerster, Stephan; Herty, Michael; Sikstel, Aleksey Hyperbolic stochastic Galerkin formulation for the \(p\)-system. (English) Zbl 1452.65017 J. Comput. Phys. 395, 186-204 (2019). MSC: 65C30 65M60 35R60 35L65 35L45 PDFBibTeX XMLCite \textit{S. Gerster} et al., J. Comput. Phys. 395, 186--204 (2019; Zbl 1452.65017) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 392, 19--33 (2019; Zbl 1452.76143) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Moreira Lopes} et al., J. Comput. Phys. 382, 291--318 (2019; Zbl 1451.65121) Full Text: DOI arXiv
Hantke, Maren; Thein, Ferdinand A general existence result for isothermal two-phase flows with phase transition. (English) Zbl 1441.35189 J. Hyperbolic Differ. Equ. 16, No. 4, 595-637 (2019). MSC: 35Q31 35L45 35L65 82B26 82C26 35A01 35A02 PDFBibTeX XMLCite \textit{M. Hantke} and \textit{F. Thein}, J. Hyperbolic Differ. Equ. 16, No. 4, 595--637 (2019; Zbl 1441.35189) Full Text: DOI arXiv
Fokken, E.; Göttlich, S.; Kolb, O. Modeling and simulation of gas networks coupled to power grids. (English) Zbl 1437.35481 J. Eng. Math. 119, 217-239 (2019). MSC: 35L65 35A35 35Q31 65M08 76N15 PDFBibTeX XMLCite \textit{E. Fokken} et al., J. Eng. Math. 119, 217--239 (2019; Zbl 1437.35481) Full Text: DOI arXiv
Mantri, Yogiraj; Herty, Michael; Noelle, Sebastian Well-balanced scheme for gas-flow in pipeline networks. (English) Zbl 1435.35239 Netw. Heterog. Media 14, No. 4, 659-676 (2019). MSC: 35L60 35L65 76M12 35R02 PDFBibTeX XMLCite \textit{Y. Mantri} et al., Netw. Heterog. Media 14, No. 4, 659--676 (2019; Zbl 1435.35239) Full Text: DOI
Herty, Michael; Müller, Siegfried; Sikstel, Aleksey Coupling of compressible Euler equations. (English) Zbl 1434.35078 Vietnam J. Math. 47, No. 4, 769-792 (2019). MSC: 35Q31 35L60 35L04 35R02 76N15 PDFBibTeX XMLCite \textit{M. Herty} et al., Vietnam J. Math. 47, No. 4, 769--792 (2019; Zbl 1434.35078) Full Text: DOI
Deolmi, G.; Müller, S.; Albers, M.; Meysonnat, P. S.; Schröder, W. A reduced order model to simulate compressible flows over an actuated riblet surface. (English) Zbl 1428.76179 Appl. Math. Comput. 348, 234-256 (2019). MSC: 76N10 35Q30 35B27 PDFBibTeX XMLCite \textit{G. Deolmi} et al., Appl. Math. Comput. 348, 234--256 (2019; Zbl 1428.76179) Full Text: DOI
Saleh, Khaled A relaxation scheme for a hyperbolic multiphase flow model. I: Barotropic EOS. (English) Zbl 1425.76288 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1763-1795 (2019). MSC: 76T30 76T10 76M12 65M08 35L60 35Q35 35F55 PDFBibTeX XMLCite \textit{K. Saleh}, ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1763--1795 (2019; Zbl 1425.76288) Full Text: DOI arXiv
Hérard, J.-M.; Mathis, H. A three-phase flow model with two miscible phases. (English) Zbl 1423.76479 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1373-1389 (2019). MSC: 76T30 35L60 35Q35 PDFBibTeX XMLCite \textit{J. M. Hérard} and \textit{H. Mathis}, ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1373--1389 (2019; Zbl 1423.76479) Full Text: DOI HAL
Boukili, Hamza; Hérard, Jean-Marc Relaxation and simulation of a barotropic three-phase flow model. (English) Zbl 1418.76032 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1031-1059 (2019). MSC: 76M12 76T30 35L60 35Q35 35L67 PDFBibTeX XMLCite \textit{H. Boukili} and \textit{J.-M. Hérard}, ESAIM, Math. Model. Numer. Anal. 53, No. 3, 1031--1059 (2019; Zbl 1418.76032) Full Text: DOI HAL
Mathis, Hélène A thermodynamically consistent model of a liquid-vapor fluid with a gas. (English) Zbl 1418.76054 ESAIM, Math. Model. Numer. Anal. 53, No. 1, 63-84 (2019). MSC: 76T30 80A10 35Q79 PDFBibTeX XMLCite \textit{H. Mathis}, ESAIM, Math. Model. Numer. Anal. 53, No. 1, 63--84 (2019; Zbl 1418.76054) Full Text: DOI arXiv
Berthon, Christophe; Duran, Arnaud; Foucher, Françoise; Saleh, Khaled; Zabsonré, Jean De Dieu Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities. (English) Zbl 1418.65156 J. Sci. Comput. 80, No. 2, 924-956 (2019). MSC: 65N08 35L65 35L67 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 80, No. 2, 924--956 (2019; Zbl 1418.65156) Full Text: DOI HAL
Rom, Michael; Müller, Siegfried A reduced basis method for the homogenized Reynolds equation applied to textured surfaces. (English) Zbl 1488.35048 Commun. Comput. Phys. 24, No. 2, 481-509 (2018). MSC: 35B27 76D08 76M50 PDFBibTeX XMLCite \textit{M. Rom} and \textit{S. Müller}, Commun. Comput. Phys. 24, No. 2, 481--509 (2018; Zbl 1488.35048) Full Text: DOI
Deolmi, G.; Müller, S. A two-step model order reduction method to simulate a compressible flow over an extended rough surface. (English) Zbl 07316234 Math. Comput. Simul. 150, 49-65 (2018). MSC: 76Mxx 76Dxx 35Qxx 74Fxx 65Nxx PDFBibTeX XMLCite \textit{G. Deolmi} and \textit{S. Müller}, Math. Comput. Simul. 150, 49--65 (2018; Zbl 07316234) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{C.-W. Shu}, J. Comput. Phys. 375, 659--683 (2018; Zbl 1416.65286) Full Text: DOI
Rohde, Christian; Zeiler, Christoph On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension. (English) Zbl 1410.35105 Z. Angew. Math. Phys. 69, No. 3, Paper No. 76, 40 p. (2018). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q31 76T10 35L60 76N10 35R35 76L05 PDFBibTeX XMLCite \textit{C. Rohde} and \textit{C. Zeiler}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 76, 40 p. (2018; Zbl 1410.35105) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{E. Deriaz} and \textit{S. Peirani}, Multiscale Model. Simul. 16, No. 2, 583--614 (2018; Zbl 1393.65009) Full Text: DOI
Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jingmei Finite volume HWENO schemes for nonconvex conservation laws. (English) Zbl 1393.65021 J. Sci. Comput. 75, No. 1, 65-82 (2018). MSC: 65M08 35Q31 35L65 PDFBibTeX XMLCite \textit{X. Cai} et al., J. Sci. Comput. 75, No. 1, 65--82 (2018; Zbl 1393.65021) Full Text: DOI arXiv
Nadeem, Aamir; Potthast, Roland; Rhodin, Andreas On sequential multiscale inversion and data assimilation. (English) Zbl 1382.65163 J. Comput. Appl. Math. 336, 338-352 (2018). MSC: 65J22 86A22 65L09 65K10 35R30 35L60 PDFBibTeX XMLCite \textit{A. Nadeem} et al., J. Comput. Appl. Math. 336, 338--352 (2018; Zbl 1382.65163) Full Text: DOI Link
Betancourt, Fernando; Bürger, Raimund; Chalons, Christophe; Diehl, Stefan; Farås, Sebastian A random sampling method for a family of temple-class systems of conservation laws. (English) Zbl 1405.65139 Numer. Math. 138, No. 1, 37-73 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M99 90B20 35L65 35L45 65M12 65M75 PDFBibTeX XMLCite \textit{F. Betancourt} et al., Numer. Math. 138, No. 1, 37--73 (2018; Zbl 1405.65139) Full Text: DOI
Deolmi, Giulia; Dahmen, Wolfgang; Müller, Siegfried Effective boundary conditions: a general strategy and application to compressible flows over rough boundaries. (English) Zbl 1488.74127 Commun. Comput. Phys. 21, No. 2, 358-400 (2017). MSC: 74Q15 76G25 35Q30 PDFBibTeX XMLCite \textit{G. Deolmi} et al., Commun. Comput. Phys. 21, No. 2, 358--400 (2017; Zbl 1488.74127) Full Text: DOI
Berjamin, Harold; Lombard, Bruno; Chiavassa, Guillaume; Favrie, Nicolas Analytical solution to 1D nonlinear elastodynamics with general constitutive laws. (English) Zbl 1524.74278 Wave Motion 74, 35-55 (2017). MSC: 74J30 35L65 35Q74 PDFBibTeX XMLCite \textit{H. Berjamin} et al., Wave Motion 74, 35--55 (2017; Zbl 1524.74278) Full Text: DOI arXiv HAL
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 PDFBibTeX XMLCite \textit{S. Descombes} et al., SMAI J. Comput. Math. 3, 29--51 (2017; Zbl 1416.65184) Full Text: DOI arXiv
Besse, N.; Deriaz, E.; Madaule, É. Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations. (English) Zbl 1380.65249 J. Comput. Phys. 332, 376-417 (2017). MSC: 65M60 35Q83 65M50 PDFBibTeX XMLCite \textit{N. Besse} et al., J. Comput. Phys. 332, 376--417 (2017; Zbl 1380.65249) Full Text: DOI HAL
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 PDFBibTeX XMLCite \textit{W. Guo} and \textit{Y. Cheng}, SIAM J. Sci. Comput. 39, No. 6, A2962--A2992 (2017; Zbl 1379.65077) Full Text: DOI arXiv
Chalons, Christophe; Coquel, Frédéric A new comment on the computation of non-conservative products using Roe-type path conservative schemes. (English) Zbl 1375.76161 J. Comput. Phys. 335, 592-604 (2017). MSC: 76N15 76L05 35L40 PDFBibTeX XMLCite \textit{C. Chalons} and \textit{F. Coquel}, J. Comput. Phys. 335, 592--604 (2017; Zbl 1375.76161) Full Text: DOI HAL
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 PDFBibTeX XMLCite \textit{V. Soni} et al., J. Comput. Appl. Math. 323, 159--175 (2017; Zbl 1365.65198) Full Text: DOI
Puppo, Gabriella; Semplice, Matteo Well-balanced high order 1D schemes on non-uniform grids and entropy residuals. (English) Zbl 1371.65093 J. Sci. Comput. 66, No. 3, 1052-1076 (2016). MSC: 65M08 35L65 65M50 65M15 PDFBibTeX XMLCite \textit{G. Puppo} and \textit{M. Semplice}, J. Sci. Comput. 66, No. 3, 1052--1076 (2016; Zbl 1371.65093) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{N. Gerhard} and \textit{S. Müller}, Comput. Appl. Math. 35, No. 2, 321--349 (2016; Zbl 1372.65271) Full Text: DOI Link
Lochon, Hippolyte; Daude, Frédéric; Galon, Pascal; Hérard, Jean-Marc Comparison of two-fluid models on steam-water transients. (English) Zbl 1353.76089 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1631-1657 (2016). MSC: 76T10 35L60 35L67 PDFBibTeX XMLCite \textit{H. Lochon} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1631--1657 (2016; Zbl 1353.76089) Full Text: DOI HAL
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 PDFBibTeX XMLCite \textit{R. Deiterding} et al., SIAM J. Sci. Comput. 38, No. 5, S173--S193 (2016; Zbl 1457.65069) Full Text: DOI arXiv
Castro, Douglas A.; Gomes, Sônia M.; Stolfi, Jorge High-order adaptive finite-volume schemes in the context of multiresolution analysis for dyadic grids. (English) Zbl 1338.76074 Comput. Appl. Math. 35, No. 1, 1-16 (2016). MSC: 76M12 65T60 68P05 35L65 PDFBibTeX XMLCite \textit{D. A. Castro} et al., Comput. Appl. Math. 35, No. 1, 1--16 (2016; Zbl 1338.76074) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Kolomenskiy} et al., J. Sci. Comput. 66, No. 1, 116--140 (2016; Zbl 1338.35290) Full Text: DOI arXiv
Vuik, M. J.; Ryan, J. K. Automated parameters for troubled-cell indicators using outlier detection. (English) Zbl 1330.65155 SIAM J. Sci. Comput. 38, No. 1, A84-A104 (2016). MSC: 65M60 35L60 35L65 35L67 65T60 PDFBibTeX XMLCite \textit{M. J. Vuik} and \textit{J. K. Ryan}, SIAM J. Sci. Comput. 38, No. 1, A84--A104 (2016; Zbl 1330.65155) Full Text: DOI arXiv
Vuik, Mathea J.; Ryan, Jennifer K. Multiwavelets and jumpin DG approximations. (English) Zbl 1352.65375 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, 503-511 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65M60 65T60 35L70 PDFBibTeX XMLCite \textit{M. J. Vuik} and \textit{J. K. Ryan}, Lect. Notes Comput. Sci. Eng. 106, 503--511 (2015; Zbl 1352.65375) Full Text: DOI
Kadri Harouna, Souleymane; Perrier, Valérie Divergence-free wavelet projection method for incompressible viscous flow on the square. (English) Zbl 1317.65266 Multiscale Model. Simul. 13, No. 1, 399-422 (2015). MSC: 65T60 35Q30 65M06 65M12 PDFBibTeX XMLCite \textit{S. Kadri Harouna} and \textit{V. Perrier}, Multiscale Model. Simul. 13, No. 1, 399--422 (2015; Zbl 1317.65266) Full Text: DOI HAL
Deolmi, Giulia; Dahmen, Wolfgang; Müller, Siegfried Effective boundary conditions for compressible flows over rough boundaries. (English) Zbl 1321.74059 Math. Models Methods Appl. Sci. 25, No. 7, 1257-1297 (2015). MSC: 74Q15 76G25 35Q30 PDFBibTeX XMLCite \textit{G. Deolmi} et al., Math. Models Methods Appl. Sci. 25, No. 7, 1257--1297 (2015; Zbl 1321.74059) Full Text: DOI
Lai, Geng On the expansion of a wedge of van der Waals gas into a vacuum. (English) Zbl 1317.35203 J. Differ. Equations 259, No. 3, 1181-1202 (2015). Reviewer: Mamadou Sy (Saint-Louis) MSC: 35Q35 35L65 35J70 35R35 35J65 35Q31 PDFBibTeX XMLCite \textit{G. Lai}, J. Differ. Equations 259, No. 3, 1181--1202 (2015; Zbl 1317.35203) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. Gerhard} et al., J. Sci. Comput. 62, No. 1, 25--52 (2015; Zbl 1462.65141) Full Text: DOI
Hovhannisyan, Nune; Müller, Siegfried; Schäfer, Roland Adaptive multiresolution discontinuous Galerkin schemes for conservation laws. (English) Zbl 1282.65118 Math. Comput. 83, No. 285, 113-151 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 35L65 65T60 65M15 PDFBibTeX XMLCite \textit{N. Hovhannisyan} et al., Math. Comput. 83, No. 285, 113--151 (2014; Zbl 1282.65118) Full Text: DOI
Amadori, Debora; Corli, Andrea Solutions for a hyperbolic model of multi-phase flow. (English. French summary) Zbl 1329.76350 ESAIM, Proc. 40, 1-15 (2013). MSC: 76T10 35Q35 35L45 35L60 PDFBibTeX XMLCite \textit{D. Amadori} and \textit{A. Corli}, ESAIM, Proc. 40, 1--15 (2013; Zbl 1329.76350) Full Text: DOI
McLaren, Donald A.; Campbell, Lucy J.; Vaillancourt, Rémi A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations. (English) Zbl 1297.65111 Axioms 2, No. 2, 142-181 (2013). MSC: 65M20 35G16 65M12 65T60 65M55 PDFBibTeX XMLCite \textit{D. A. McLaren} et al., Axioms 2, No. 2, 142--181 (2013; Zbl 1297.65111) Full Text: DOI
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 PDFBibTeX XMLCite \textit{R. Bürger} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 6--7, 373--386 (2013; Zbl 1277.76115) Full Text: DOI
Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. (English) Zbl 1277.80009 Q. Appl. Math. 71, No. 3, 509-540 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 80A22 76N10 35L45 35L65 PDFBibTeX XMLCite \textit{M. Hantke} et al., Q. Appl. Math. 71, No. 3, 509--540 (2013; Zbl 1277.80009) Full Text: DOI
Ersoy, Mehmet; Golay, Frédéric; Yushchenko, Lyudmyla Adaptive multiscale scheme based on numerical density of entropy production for conservation laws. (English) Zbl 1457.35022 Cent. Eur. J. Math. 11, No. 8, 1392-1415 (2013). MSC: 35L60 65M08 65M50 PDFBibTeX XMLCite \textit{M. Ersoy} et al., Cent. Eur. J. Math. 11, No. 8, 1392--1415 (2013; Zbl 1457.35022) Full Text: DOI HAL
Aymard, Benjamin; Clément, Frédérique; Coquel, Frédéric; Postel, Marie Numerical simulation of the selection process of the ovarian follicles. (English. French summary) Zbl 1336.92020 ESAIM, Proc. 38, 99-117 (2012). MSC: 92C30 35Q92 PDFBibTeX XMLCite \textit{B. Aymard} et al., ESAIM, Proc. 38, 99--117 (2012; Zbl 1336.92020) Full Text: DOI
Castro, Douglas A.; Gomes, Sônia M.; Stolfi, Jorge An adaptive multiresolution method on dyadic grids: Application to transport equations. (English) Zbl 1245.65116 J. Comput. Appl. Math. 236, No. 15, 3636-3646 (2012). MSC: 65M08 65M50 35L65 65T60 PDFBibTeX XMLCite \textit{D. A. Castro} et al., J. Comput. Appl. Math. 236, No. 15, 3636--3646 (2012; Zbl 1245.65116) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Baeza} et al., Appl. Numer. Math. 62, No. 4, 278--296 (2012; Zbl 1241.65080) Full Text: DOI
Sandeep, K.; Gaur, Shikha; Dutta, D.; Kushwaha, H. S. Wavelet based schemes for linear advection-dispersion equation. (English) Zbl 1244.65142 Appl. Math. Comput. 218, No. 7, 3786-3798 (2011). MSC: 65M60 35K20 65T60 PDFBibTeX XMLCite \textit{K. Sandeep} et al., Appl. Math. Comput. 218, No. 7, 3786--3798 (2011; Zbl 1244.65142) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia An adaptive finite element method for evolutionary convection dominated problems. (English) Zbl 1239.65063 Comput. Methods Appl. Mech. Eng. 200, No. 49-52, 3601-3612 (2011). MSC: 65M60 35K20 PDFBibTeX XMLCite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 200, No. 49--52, 3601--3612 (2011; Zbl 1239.65063) Full Text: DOI
Berres, Stefan; Ruiz-Baier, Ricardo A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion. (English) Zbl 1219.92059 Nonlinear Anal., Real World Appl. 12, No. 5, 2888-2903 (2011). MSC: 92D30 35K57 65N08 35Q92 65C20 PDFBibTeX XMLCite \textit{S. Berres} and \textit{R. Ruiz-Baier}, Nonlinear Anal., Real World Appl. 12, No. 5, 2888--2903 (2011; Zbl 1219.92059) Full Text: DOI Link
Helluy, P.; Mathis, H. Pressure laws and fast Legendre transform. (English) Zbl 1268.76054 Math. Models Methods Appl. Sci. 21, No. 4, 745-775 (2011). MSC: 76N15 35Q35 76M25 15A80 PDFBibTeX XMLCite \textit{P. Helluy} and \textit{H. Mathis}, Math. Models Methods Appl. Sci. 21, No. 4, 745--775 (2011; Zbl 1268.76054) Full Text: DOI
Lorin, Emmanuel; Bandrauk, A. D. Multiresolution scheme for time-dependent Schrödinger equation. (English) Zbl 1205.65237 Comput. Phys. Commun. 181, No. 3, 626-638 (2010). MSC: 65M06 35Q40 35K20 81Q05 65T60 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{A. D. Bandrauk}, Comput. Phys. Commun. 181, No. 3, 626--638 (2010; Zbl 1205.65237) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 26, No. 6, 1377--1404 (2010; Zbl 1206.92004) Full Text: DOI arXiv Link
Domingues, Margarete O.; Ferreira, Paulo J. S. G.; Gomes, Sônia M.; Gomide, Anamaria; Pereira, José R.; Pinho, Pedro Grid structure impact in sparse point representation of derivatives. (English) Zbl 1193.65021 J. Comput. Appl. Math. 234, No. 8, 2377-2389 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D25 42C40 65M06 65M50 65T60 35Q61 PDFBibTeX XMLCite \textit{M. O. Domingues} et al., J. Comput. Appl. Math. 234, No. 8, 2377--2389 (2010; Zbl 1193.65021) Full Text: DOI
Schwab, Christoph; Stevenson, Rob Space-time adaptive wavelet methods for parabolic evolution problems. (English) Zbl 1198.65249 Math. Comput. 78, No. 267, 1293-1318 (2009). MSC: 65N99 65T60 35K10 41A25 46B28 PDFBibTeX XMLCite \textit{C. Schwab} and \textit{R. Stevenson}, Math. Comput. 78, No. 267, 1293--1318 (2009; Zbl 1198.65249) Full Text: DOI