Journal of Numerical Mathematics Short Title: J. Numer. Math. Publisher: De Gruyter, Berlin ISSN: 1570-2820; 1569-3953/e Online: http://www.degruyter.com/view/j/jnma Predecessor: East-West Journal of Numerical Mathematics Comments: Journal; Indexed cover-to-cover Documents Indexed: 334 Publications (since 2002) References Indexed: 225 Publications with 5,771 References. all top 5 Latest Issues 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 3-4 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 10, No. 4 (2002) 10, No. 3 (2002) 10, No. 2 (2002) 10, No. 1 (2002) all top 5 Authors 13 Hoppe, Ronald H. W. 9 Bangerth, Wolfgang 9 Maier, Matthias Sebastian 9 Turcksin, Bruno 8 Heister, Timo 8 Heltai, Luca 8 Kronbichler, Martin 7 Arndt, Daniel 7 Kuznetsov, Yurii Alekseevich 7 Pelteret, Jean-Paul 7 Rivière, Beatrice M. 6 Glowinski, Roland 6 Kanschat, Guido 6 Rannacher, Rolf 6 Repin, Sergeĭ Igorevich 6 Turek, Stefan 5 Fehling, Marc 5 Girault, Vivette 5 Nicaise, Serge 4 Axelsson, Axel Owe Holger 4 Carstensen, Carsten 4 Davydov, Denis 4 Feistauer, Miloslav 4 Kadalbajoo, Mohan K. 4 Langer, Ulrich 4 Munch, Peter 4 Rebholz, Leo G. 4 Schieweck, Friedhelm 4 Suttmeier, Franz-Theo 3 Agouzal, Abdellatif 3 Borzì, Alfio 3 Burman, Erik 3 Chen, Hongsen 3 Gassmöller, Rene 3 Gatica, Gabriel N. 3 Hackbusch, Wolfgang 3 Hecht, Frédéric 3 Khoromskiĭ, Boris Nikolaevich 3 Kuzmin, Dmitri 3 Lukáčová-Medviďová, Mária 3 Neilan, Michael 3 Pani, Amiya Kumar 3 Pasciak, Joseph E. 3 Reusken, Arnold 3 Seaïd, Mohammed 3 Steinbach, Olaf 3 Zhang, Shangyou 2 Bacuta, Constantin 2 Balázsová, Monika 2 Banda, Mapundi Kondwani 2 Benner, Peter 2 Blais, Bruno 2 Boglaev, Igor P. 2 Bonito, Andrea 2 Bramble, James H. 2 Caboussat, Alexandre 2 Cappanera, Loïc 2 Chen, Zhangxin 2 Clevenger, Thomas C. 2 Danczul, Tobias 2 Demyanko, Kirill V. 2 Dryja, Maksymilian 2 Eymard, Robert 2 Feder, Marco 2 Foss, Frederick J. II 2 Gerardo-Giorda, Luca 2 Guzmán, Johnny 2 Herbin, Raphaèle 2 Hinze, Michael 2 Hiptmair, Ralf 2 Hofreither, Clemens 2 Hussain, Malik Zawwar 2 Hutzenthaler, Martin 2 Ikhile, Monday Ndidi Oziegbe 2 Jentzen, Arnulf 2 Kamont, Zdzisław 2 Knyazev, Andrew V. 2 Kruse, Thomas 2 Kučera, Václav 2 Kumar, Devendra 2 Li, Cuixia 2 Lipnikov, Konstantin N. 2 Meddahi, Salim 2 Meszmer, Peter 2 Moore, Peter K. 2 Nataf, Frédéric 2 Nechepurenko, Yuri M. 2 Neittaanmäki, Pekka J. 2 Novati, Paolo 2 Okuonghae, Robert I. 2 Ouazzi, Abderrahim 2 Owolabi, Kolade Matthew 2 Rabus, Hella 2 Ruiz-Baier, Ricardo 2 Şahin, Niyazi 2 Schroder, Andreas 2 She, Bangwei 2 Sobotíková, Veronika 2 Šolín, Pavel 2 Soualem, Nadir ...and 455 more Authors all top 5 Fields 311 Numerical analysis (65-XX) 140 Partial differential equations (35-XX) 78 Fluid mechanics (76-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 20 Ordinary differential equations (34-XX) 16 Mechanics of deformable solids (74-XX) 13 Operations research, mathematical programming (90-XX) 8 Integral equations (45-XX) 8 Optics, electromagnetic theory (78-XX) 7 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 261 Publications have been cited 3,230 times in 2,917 Documents Cited by ▼ Year ▼ New development in freefem++. Zbl 1266.68090Hecht, F. 1,135 2012 The deal.II library, version 8.4. Zbl 1348.65187Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 99 2016 The deal.II library, version 9.0. Zbl 1410.65363Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 52 2018 Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow. Zbl 1159.76010Çeşmelioğlu, A.; Rivière, B. 50 2008 The deal.II library, version 8.5. Zbl 1375.65148Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 50 2017 The deal.II library, Version 9.1. Zbl 1435.65010Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 45 2019 A staggered discontinuous Galerkin method for the convection-diffusion equation. Zbl 1300.65065Chung, Eric; Lee, C. S. 44 2012 Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035Hackbusch, W.; Khoromskij, B. N.; Tyrtyshnikov, E. E. 43 2005 Layer-adapted meshes for one-dimensional reaction-convection-diffusion problems. Zbl 1056.65076Linß, T. 39 2004 The deal.II library, version 9.2. Zbl 1452.65222Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 29 2020 Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340Meidner, D.; Rannacher, R.; Vihharev, J. 28 2009 Overlapping Schwarz methods in H(curl) on polyhedral domains. Zbl 1017.65099Pasciak, J. E.; Zhao, J. 27 2002 Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151Schroeder, Philipp W.; Lube, Gert 26 2017 \(A\)-stable discontinuous Galerkin-Petrov time discretization of higher order. Zbl 1198.65093Schieweck, F. 25 2010 A posteriori error control of a state constrained elliptic control problem. Zbl 1161.65049Günther, A.; Hinze, M. 24 2008 A second-order scheme for singularly perturbed differential equations with discontinuous source term. Zbl 1023.65077Roos, H.-G.; Zarin, H. 24 2002 Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371Mohammadi, Masoumeh; Borzì, Alfio 23 2015 Analysis of the Scott-Zhang interpolation in the fractional order Sobolev spaces. Zbl 1457.65190Ciarlet, P. jun. 23 2013 Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111Heuveline, V.; Rannacher, R. 23 2003 The deal.II library, Version 9.3. Zbl 1478.65004Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 23 2021 On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. 22 2019 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032Benner, Peter; Mena, Hermann 21 2018 A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems. Zbl 1178.65070Hoppe, R. H. W.; Kieweg, M. 21 2009 A posteriori error estimates for adaptive finite element discretizations of boundary control problems. Zbl 1104.65066Hoppe, R. H. W.; Iliash, Y.; Iyyunni, C.; Sweilam, N. H. 21 2006 Convergence and stability of finite element modified method of characteristics for the incompressible Navier-Stokes equations. Zbl 1120.76038El-Amrani, M.; Seaid, M. 21 2007 Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems. Zbl 1059.65083Feistauer, M.; Švadlenka, K. 21 2004 The all-floating boundary element tearing and interconnecting method. Zbl 1423.74943Of, G.; Steinbach, O. 19 2009 Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123Rannacher, R.; Westenberger, A.; Wollner, W. 19 2010 Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184Rannacher, R.; Vihharev, J. 19 2013 Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. Zbl 1218.65107Hussain, S.; Schieweck, F.; Turek, S. 18 2011 Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040Axelsson, Owe; Lukáš, Dalibor 18 2019 Unified edge-oriented stabilization of nonconforming FEM for incompressible flow problems: numerical investigations. Zbl 1219.76030Turek, S.; Ouazzi, A. 17 2007 Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227Hiptmair, R.; Li, J.; Zou, J. 16 2010 Local analysis of discontinuous Galerkin methods applied to singularly perturbed problems. Zbl 1099.65108Guzmán, J. 16 2006 Convergence analysis of an adaptive edge finite element method for the 2D eddy current equations. Zbl 1073.78008Carstensen, C.; Hoppe, R. H. W. 16 2005 Convergence analysis and error estimates for mixed finite element method on distorted meshes. Zbl 1069.65114Kuznetsov, Yu.; Repin, S. 16 2005 Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123Kanschat, G.; Rannacher, R. 16 2002 Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains. Zbl 1050.65108Bacuta, C.; Bramble, J. H.; Xu, J. 16 2003 Angles between subspaces and their tangents. Zbl 1286.65052Zhu, Peizhen; Knyazev, A. V. 15 2013 Elastoviscoplastic finite element analysis in 100 lines of Matlab. Zbl 1099.74544Carstensen, C.; Klose, R. 15 2002 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 15 2020 Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147Owolabi, Kolade M. 15 2017 A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana 15 2017 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101Girault, V.; Kanschat, G.; Rivière, B. 15 2014 Higher-order relaxation schemes for hyperbolic systems of conservation laws. Zbl 1084.65076Banda, M. K.; Seaid, M. 14 2005 The deal.II library, version 9.4. Zbl 07590497Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 14 2022 Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Zbl 1284.65078Langer, U.; Wolfmayr, M. 13 2013 A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S. 13 2014 Space-time finite element approximation of parabolic optimal control problems. Zbl 1250.65083Gong, W.; Hinze, M.; Zhou, Z. J. 13 2012 Efficient MHD Riemann solvers for simulations on unstructured triangular grids. Zbl 1037.76038Wesenberg, M. 13 2002 Cell centred discretisation of non linear elliptic problems on general multidimensional polyhedral grids. Zbl 1179.65138Eymard, R.; Gallouët, T.; Herbin, R. 12 2009 Distributed optimal control of lambda-omega systems. Zbl 1104.65063Borzì, A.; Griesse, R. 12 2006 On improvement of the iterated Galerkin solution of the second kind integral equations. Zbl 1088.65115Kulkarni, R. P. 12 2005 Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071Kanschat, Guido; Mao, Youli 11 2015 Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279Gu, Z.; Chen, Y. 11 2014 \(L_{2}\) error estimates for a nonstandard finite element method on polyhedral meshes. Zbl 1222.65119Hofreither, C. 11 2011 Approximating eigenvalues of discontinuous problems by sampling theorems. Zbl 1160.65039Annaby, M. H.; Asharabi, R. M. 11 2008 A least-squares approximation method for the time-harmonic Maxwell equations. Zbl 1126.78016Bramble, J. H.; Kolev, T. V.; Pasciak, J. E. 11 2005 Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112Gerardo-Giorda, L.; Nataf, F. 11 2005 A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. Zbl 1267.65075Dolbeault, J.; Esteban, M. J. 11 2012 Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire 11 2017 Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. Zbl 1194.65147Xu, X.; Chen, H.; Hoppe, R. H. W. 11 2010 A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E. 10 2017 On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110Proinov, Petko D.; Ivanov, Stoil I. 10 2015 Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas 10 2019 An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036Axelsson, Owe; Neytcheva, Maya; Ström, Anders 10 2018 On a discrete Hessian recovery for \(P_1\) finite elements. Zbl 1010.65009Agouzal, A.; Vassilevski, Yu. 10 2002 Numerical approximation of the spectra of non-compact operators arising in buckling problems. Zbl 1099.74545Dauge, M.; Suri, M. 10 2002 A variable order wavelet method for the sparse representation of layer potentials in the non-standard form. Zbl 1063.65133Tausch, J. 10 2004 Analysis of two-scale finite volume element method for elliptic problem. Zbl 1067.65124Ginting, V. 10 2004 Error control in \(h\)- and \(hp\)-adaptive FEM for Signorini’s problem. Zbl 1423.74919Schröder, A. 9 2009 Functional a posteriori error estimates for problems with nonlinear boundary conditions. Zbl 1146.65054Repin, S.; Valdman, J. 9 2008 An augmented Lagrangian approach to the numerical solution of a non-smooth eigenvalue problem. Zbl 1169.65064Caboussat, A.; Glowinski, R.; Pons, V. 9 2009 Modeling rational spline for visualization of shaped data. Zbl 1267.65019Sarfraz, M.; Hussain, M. Z.; Hussain, M. 9 2013 A survey of numerical methods for convection-diffusion optimal control problems. Zbl 1294.65072Zhou, Z. J.; Yan, N. N. 9 2014 Perturbed second derivative multistep methods. Zbl 1327.65131Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali 8 2015 Nonconforming spectral/\(hp\) element methods for elliptic systems. Zbl 1170.65334Kumar, N. K.; Dutt, P. K.; Upadhyay, C. S. 8 2009 Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. Zbl 1177.65092Hesse, H. K.; Kanschat, G. 8 2009 A polynomial chaos approach to stochastic variational inequalities. Zbl 1220.65082Forster, R.; Kornhuber, R. 8 2010 Hierarchical Cholesky decomposition of sparse matrices arising from curl-curl equation. Zbl 1135.65015Ibragimov, I.; Rjasanow, S.; Straube, K. 8 2007 Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108Hošek, Radim; She, Bangwei 8 2018 Adapted explicit two-step peer methods. Zbl 1476.65127Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 8 2019 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177Lehrenfeld, Christoph; Reusken, Arnold 8 2019 Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209Gatica, Gabriel N.; Meddahi, Salim 8 2020 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308Bajpai, Saumya; Pani, Amiya K. 7 2017 A new non-interior continuation method for second-order cone programming. Zbl 1288.65088Tang, J.; He, G.; Fang, L. 7 2013 Estimating the control error in discretized PDE-constrained optimization. Zbl 1127.65038Becker, R. 7 2006 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats 7 2018 Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia 7 2016 Solving \(0=F(t,y(t),y'(t))\) in Matlab. Zbl 1019.65044Shampine, L. F. 7 2002 A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194Du, Guangzhi; Zuo, Liyun 7 2021 Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. Zbl 1232.65164Barker, A. T.; Brenner, S. C.; Sung, L.-Y. 7 2011 A domain decomposition algorithm for general covolume methods for elliptic problems. Zbl 1083.65111Chou, S. H.; Huang, J. 7 2003 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290Girault, Vivette; Li, Jizhou; Rivière, Beatrice 6 2016 Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168Badea, Lori 6 2015 On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168Balázsová, Monika; Feistauer, Miloslav; Hadrava, Martin; Kosík, Adam 6 2015 Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239Layton, William; McLaughlin, Michael 6 2020 On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials. Zbl 1238.65078Yüzbaşi, Ş.; Şahin, N. 6 2012 Adaptive finite element methods for the Laplace eigenvalue problem. Zbl 1222.65122Hoppe, R. H. W.; Wu, H.; Zhang, Z. 6 2010 An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations. Zbl 07711456Jha, Abhinav; Pártl, Ondřej; Ahmed, Naveed; Kuzmin, Dmitri 1 2023 Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. Zbl 1515.65025Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Tuan Anh Nguyen 1 2023 The deal.II library, version 9.4. Zbl 07590497Arndt, Daniel; Bangerth, Wolfgang; Feder, Marco; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Sticko, Simon; Turcksin, Bruno; Wells, David 14 2022 An energy, momentum, and angular momentum conserving scheme for a regularization model of incompressible flow. Zbl 07542956Ingimarson, Sean 2 2022 POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. Zbl 1490.65210Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 2 2022 On rational Krylov and reduced basis methods for fractional diffusion. Zbl 1490.65266Danczul, Tobias; Hofreither, Clemens 1 2022 Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. Zbl 1491.65126Burman, Erik; Puppi, Riccardo 1 2022 Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport. Zbl 07632530Garcke, Harald; Trautwein, Dennis 1 2022 A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models. Zbl 07632531Gatica, Gabriel N.; Inzunza, Cristian; Ruiz-Baier, Ricardo; Sandoval, Felipe 1 2022 The deal.II library, Version 9.3. Zbl 1478.65004Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Fehling, Marc; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Köcher, Uwe; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Proell, Sebastian; Simon, Konrad; Turcksin, Bruno; Wells, David; Zhang, Jiaqi 23 2021 A two-grid method with backtracking for the mixed Stokes/Darcy model. Zbl 1471.65194Du, Guangzhi; Zuo, Liyun 7 2021 A reduced basis method for fractional diffusion operators. II. Zbl 1491.65131Danczul, Tobias; Schöberl, Joachim 6 2021 Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228Kuzmin, Dmitri 6 2021 Boundary update via resolvent for fluid-structure interaction. Zbl 1476.65164Bukač, Martina; Trenchea, Catalin 5 2021 A note on the efficient evaluation of a modified Hilbert transformation. Zbl 1471.65154Steinbach, Olaf; Zank, Marco 5 2021 Collocated finite-volume method for the incompressible Navier-Stokes problem. Zbl 1473.65146Terekhov, Kirill M. 5 2021 Error analysis of higher order trace finite element methods for the surface Stokes equation. Zbl 1491.65142Jankuhn, Thomas; Olshanskii, Maxim A.; Reusken, Arnold; Zhiliakov, Alexander 5 2021 A finite element method for degenerate two-phase flow in porous media. II: Convergence. Zbl 1481.65183Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 4 2021 A finite element method for degenerate two-phase flow in porous media. I. Well-posedness. Zbl 1482.65181Girault, Vivette; Riviere, Beatrice; Cappanera, Loic 3 2021 Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. Zbl 1481.65253Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich 2 2021 Acceleration of nonlinear solvers for natural convection problems. Zbl 1495.65174Pollock, Sara; Rebholz, Leo G.; Xiao, Mengying 2 2021 Relative error analysis of matrix exponential approximations for numerical integration. Zbl 1473.65052Maset, Stefano 1 2021 Convergence of time-splitting approximations for degenerate convection-diffusion equations with a random source. Zbl 1472.65099Díaz-Adame, Roberto; Jerez, Silvia 1 2021 Matrix equation solving of PDEs in polygonal domains using conformal mappings. Zbl 1495.65199Hao, Yue; Simoncini, Valeria 1 2021 The deal.II library, version 9.2. Zbl 1452.65222Arndt, Daniel; Bangerth, Wolfgang; Blais, Bruno; Clevenger, Thomas C.; Fehling, Marc; Grayver, Alexander V.; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Munch, Peter; Pelteret, Jean-Paul; Rastak, Reza; Tomas, Ignacio; Turcksin, Bruno; Wang, Zhuoran; Wells, David 29 2020 Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Zbl 1471.65169Beck, Christian; Hornung, Fabian; Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas 15 2020 Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems. Zbl 1471.65209Gatica, Gabriel N.; Meddahi, Salim 8 2020 Doubly-adaptive artificial compression methods for incompressible flow. Zbl 1452.65239Layton, William; McLaughlin, Michael 6 2020 A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem. Zbl 1433.76088Liao, Cheng; Huang, Pengzhan; He, Yinnian 5 2020 Reduced basis approximations of the solutions to spectral fractional diffusion problems. Zbl 1452.65324Bonito, Andrea; Guignard, Diane; Zhang, Ashley R. 4 2020 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 The deal.II library, Version 9.1. Zbl 1435.65010Arndt, Daniel; Bangerth, Wolfgang; Clevenger, Thomas C.; Davydov, Denis; Fehling, Marc; Garcia-Sanchez, Daniel; Harper, Graham; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Kynch, Ross Maguire; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 45 2019 On sinc quadrature approximations of fractional powers of regularly accretive operators. Zbl 1476.65292Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. 22 2019 Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems. Zbl 1428.65040Axelsson, Owe; Lukáš, Dalibor 18 2019 Dual weighted residual error estimation for the finite cell method. Zbl 1476.65331Di Stolfo, Paolo; Rademacher, Andreas; Schröder, Andreas 10 2019 Adapted explicit two-step peer methods. Zbl 1476.65127Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 8 2019 \(L^2\)-error analysis of an Isoparametric unfitted finite element method for elliptic interface problems. Zbl 1464.65177Lehrenfeld, Christoph; Reusken, Arnold 8 2019 Multigoal-oriented error estimates for non-linear problems. Zbl 1435.65200Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas 5 2019 A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan 5 2019 Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems. Zbl 1416.65464Russell, Stephen; Stynes, Martin 4 2019 POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. Zbl 1458.65125Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. 3 2019 Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130Yadav, Sangita; Pani, Amiya K. 3 2019 Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints. Zbl 1458.65129Voulis, Igor; Reusken, Arnold 2 2019 A tight nonlinear approximation theory for time dependent closed quantum systems. Zbl 1461.81033Jerome, Joseph W. 1 2019 Convergence of explicitly coupled simulation tools (co-simulations). Zbl 07059685Moshagen, Thilo 1 2019 The deal.II library, version 9.0. Zbl 1410.65363Alzetta, Giovanni; Arndt, Daniel; Bangerth, Wolfgang; Boddu, Vishal; Brands, Benjamin; Davydov, Denis; Gassmöller, Rene; Heister, Timo; Heltai, Luca; Kormann, Katharina; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 52 2018 Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032Benner, Peter; Mena, Hermann 21 2018 An efficient preconditioning method for state box-constrained optimal control problems. Zbl 1407.65036Axelsson, Owe; Neytcheva, Maya; Ström, Anders 10 2018 Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension. Zbl 1407.65108Hošek, Radim; She, Bangwei 8 2018 Fictitious domain method with boundary value correction using penalty-free Nitsche method. Zbl 1395.65149Boiveau, Thomas; Burman, Erik; Claus, Susanne; Larson, Mats 7 2018 An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces. Zbl 1394.49030Lorena Avendaño-Garrido, Martha; Gabriel-Argüelles, J. Rigoberto; Quintana, Ligia-Torres; González-Hernández, Juan 3 2018 Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions. Zbl 1470.92253Owolabi, Kolade; Pindza, Edson 3 2018 A contraction property of an adaptive divergence-conforming discontinuous Galerkin method for the Stokes problem. Zbl 1410.65424Sharma, Natasha; Kanschat, Guido 2 2018 Error estimates for higher-order finite volume schemes for convection-diffusion problems. Zbl 1432.76176Kröner, Dietmar; Rokyta, Mirko 1 2018 A note on distributionally robust optimization under moment uncertainty. Zbl 06989836Liu, Qiang; Wu, Jia; Xiao, Xiantao; Zhang, Liwei 1 2018 The deal.II library, version 8.5. Zbl 1375.65148Arndt, Daniel; Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kronbichler, Martin; Maier, Matthias; Pelteret, Jean-Paul; Turcksin, Bruno; Wells, David 50 2017 Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows. Zbl 1388.76151Schroeder, Philipp W.; Lube, Gert 26 2017 Mathematical study of multispecies dynamics modeling predator-prey spatial interactions. Zbl 1364.35147Owolabi, Kolade M. 15 2017 A fully-mixed finite element method for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity. Zbl 1367.65167Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Šebestová, Ivana 15 2017 Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. Zbl 1376.82105Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire 11 2017 A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations. Zbl 1453.65331Linke, Alexander; Neilan, Michael; Rebholz, Leo G.; Wilson, Nicholas E. 10 2017 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308Bajpai, Saumya; Pani, Amiya K. 7 2017 Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term. Zbl 1375.65129Wu, Shu-Lin 6 2017 Convergence analysis of a finite element method for second order non-variational elliptic problems. Zbl 1375.65144Neilan, Michael 5 2017 Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method. Zbl 1367.65050He, Xin; Vuik, Cornelis; Klaij, Christiaan 4 2017 Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation. Zbl 1362.65069Zhang, Bo; Chen, Jixin; Yang, Danping 2 2017 A new approach to constructing vector splitting schemes in mixed finite element method for parabolic problems. Zbl 1362.65108Voronin, Kirill; Laevsky, Yuri 1 2017 The deal.II library, version 8.4. Zbl 1348.65187Bangerth, Wolfgang; Davydov, Denis; Heister, Timo; Heltai, Luca; Kanschat, Guido; Kronbichler, Martin; Maier, Matthias; Turcksin, Bruno; Wells, David 99 2016 Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow. Zbl 1462.65154Neda, Monika; Pahlevani, Faranak; Rebholz, Leo G.; Waters, Jiajia 7 2016 Strong convergence of discrete DG solutions of the heat equation. Zbl 1352.65290Girault, Vivette; Li, Jizhou; Rivière, Beatrice 6 2016 Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh. Zbl 1339.65148Gupta, Vikas; Kadalbajoo, Mohan K. 5 2016 A direct algorithm in some free boundary problems. Zbl 1352.65168Murea, Cornel M.; Tiba, Dan 4 2016 Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090Maier, Matthias; Rannacher, Rolf 3 2016 Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan 3 2016 Error estimates for Neumann boundary control problems with energy regularization. Zbl 1354.49060Apel, Thomas; Steinbach, Olaf; Winkler, Max 2 2016 Curvature approximation of circular arcs by low-degree parametric polynomials. Zbl 1338.65029Kovač, Boštjan; Žagar, Emil 2 2016 Estimates of the modeling error generated by homogenization of an elliptic boundary value problem. Zbl 1337.35033Repin, Sergey; Samrowski, Tatiana; Sauter, Stefan 1 2016 Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations. Zbl 1327.35371Mohammadi, Masoumeh; Borzì, Alfio 23 2015 Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. Zbl 1330.76071Kanschat, Guido; Mao, Youli 11 2015 On the convergence of Halley’s method for simultaneous computation of polynomial zeros. Zbl 1328.65110Proinov, Petko D.; Ivanov, Stoil I. 10 2015 Perturbed second derivative multistep methods. Zbl 1327.65131Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali 8 2015 Convergence rate of some hybrid multigrid methods for variational inequalities. Zbl 1325.65168Badea, Lori 6 2015 On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems. Zbl 1327.65168Balázsová, Monika; Feistauer, Miloslav; Hadrava, Martin; Kosík, Adam 6 2015 Optimal bilinear control of eddy current equations with grad-div regularization. Zbl 1321.35228Yousept, Irwin 5 2015 Pythagorean-hodograph cycloidal curves. Zbl 1328.65053Kozak, Jernej; Krajnc, Marjeta; Rogina, Mladen; Vitrih, Vito 5 2015 Chebyshev polynomials and best approximation of some classes of functions. Zbl 1323.41027Eslahchi, Mohammad R.; Dehghan, Mehdi; Amani, Sanaz 4 2015 Convergence and error estimation of homotopy analysis method for some type of nonlinear and linear integral equations. Zbl 1328.65272Hetmaniok, Edyta; Nowak, Iwona; Słota, Damian; Wituła, Roman 4 2015 A multipoint Birkhoff type boundary value problem. Zbl 1321.65119Costabile, Francesco A.; Napoli, Anna 3 2015 Quasi-optimal convergence of AFEM based on separate marking. I. Zbl 1330.65162Rabus, Hella 3 2015 A Newton-like method for computing deflating subspaces. Zbl 1328.65086Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud 3 2015 Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem. Zbl 1328.65237Fraunholz, Thomas; Hoppe, Ronald H. W.; Peter, Malte 3 2015 A relaxed splitting preconditioner for saddle point problems. Zbl 1328.65077Li, Cui-Xia; Wu, Shi-Liang; Huang, Ai-Qun 3 2015 Finite element analysis of the stationary power-law Stokes equations driven by friction boundary conditions. Zbl 1330.76066Djoko, Jules K.; Mbehou, Mohamed 1 2015 Unified error bounds for all Newton-Cotes quadrature rules. Zbl 1321.65038Masjed-Jamei, Mohammad 1 2015 A well-balanced solver for the Saint Venant equations with variable cross-section. Zbl 1319.65085Borsche, Raul 1 2015 Quasi-optimal convergence of AFEM based on separate marking. II. Zbl 1330.65163Rabus, Hella 1 2015 A nonmonotone inexact smoothing Newton-type method for \(P_{0}\)-NCP based on a parametric complementarity function. Zbl 1328.90099Fang, Liang; Tang, Jingyong; Hu, Yunhong 1 2015 Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Zbl 1302.76101Girault, V.; Kanschat, G.; Rivière, B. 15 2014 A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation. Zbl 1302.65237Sweilam, N. H.; Moharram, H.; Moniem, N. K. Abdel; Ahmed, S. 13 2014 Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. Zbl 1302.65279Gu, Z.; Chen, Y. 11 2014 ...and 161 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,871 Authors 30 Gatica, Gabriel N. 30 Shang, Yueqiang 29 Wick, Thomas 26 Oyarzúa, Ricardo 26 Seaïd, Mohammed 22 Kronbichler, Martin 22 Rebholz, Leo G. 21 Allaire, Grégoire 21 Caucao, Sergio 20 Burman, Erik 20 Chung, Tsz Shun Eric 19 El-Amrani, Mofdi 18 Axelsson, Axel Owe Holger 18 He, Yinnian 18 Khoromskiĭ, Boris Nikolaevich 18 Langer, Ulrich 18 Sayah, Toni 18 Si, Zhiyong 18 Sinha, Rajen Kumar 17 Jolivet, Pierre 17 Perotto, Simona 16 Hecht, Frédéric 16 Heltai, Luca 16 Hou, Yanren 16 Jiang, Yaolin 16 Vohralík, Martin 16 Zhu, Shengfeng 15 He, Xiaoming 15 Kaya, Songul 15 Repin, Sergeĭ Igorevich 15 Wollner, Winnifried 15 Yotov, Ivan 15 Zheng, Haibiao 14 Chacón Rebollo, Tomás 14 Dumbser, Michael 14 Huang, Pengzhan 14 Maier, Matthias Sebastian 13 Çibik, Aytekin Bayram 13 Guillén González, Francisco M. 13 Lee, Sanghyun 13 Nataf, Frédéric 13 Owolabi, Kolade Matthew 13 Quarteroni, Alfio M. 13 Rubino, Samuele 13 Yang, Yunbo 12 Bangerth, Wolfgang 12 Borzì, Alfio 12 Du, Guangzhi 12 Girault, Vivette 12 Hackbusch, Wolfgang 12 Heister, Timo 12 Hoppe, Ronald H. W. 12 Jiang, Nan 12 Tournier, Pierre-Henri 12 Turek, Stefan 12 Yakoubi, Driss 11 An, Rong 11 Bause, Markus 11 Bernardi, Christine 11 Carstensen, Carsten 11 Dapogny, Charles 11 Feistauer, Miloslav 11 Feng, Xinlong 11 Gómez Mármol, Macarena 11 Han, Daozhi 11 Linke, Alexander 11 Maday, Yvon 11 Marquet, Olivier 11 Münch, Arnaud 11 Olshanskii, Maxim A. 11 Rivière, Beatrice M. 11 Wang, Xiaoming 11 Wheeler, Mary Fanett 10 Arndt, Daniel 10 Conte, Dajana 10 Dolejší, Vít 10 Glowinski, Roland 10 Kanschat, Guido 10 Mena, Hermann 10 Micheletti, Stefano 10 Pelteret, Jean-Paul 10 Steinmann, Paul 10 Turcksin, Bruno 10 Wall, Wolfgang A. 9 Ahmed, Naveed 9 Assous, Franck 9 Boglaev, Igor P. 9 Bonito, Andrea 9 Bukač, Martina 9 Colmenares, Eligio 9 Dede’, Luca 9 Dolean, Victorita 9 Gander, Martin Jakob 9 Hutzenthaler, Martin 9 Kuznetsov, Yurii Alekseevich 9 Layton, William J. 9 Li, Jian 9 Novo, Julia 9 Schieweck, Friedhelm 9 Schroder, Andreas ...and 3,771 more Authors all top 5 Cited in 305 Journals 181 Computer Methods in Applied Mechanics and Engineering 157 Journal of Computational Physics 150 Journal of Computational and Applied Mathematics 148 Computers & Mathematics with Applications 146 Journal of Scientific Computing 96 Applied Numerical Mathematics 88 Applied Mathematics and Computation 85 SIAM Journal on Scientific Computing 82 Numerische Mathematik 75 Journal of Fluid Mechanics 59 SIAM Journal on Numerical Analysis 57 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 48 Journal of Numerical Mathematics 47 Computational Methods in Applied Mathematics 46 Mathematics of Computation 43 Numerical Algorithms 37 Numerical Methods for Partial Differential Equations 30 Journal of Mathematical Analysis and Applications 30 Calcolo 30 Advances in Computational Mathematics 27 Computational and Applied Mathematics 26 Mathematics and Computers in Simulation 24 M\(^3\)AS. 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