Edit Profile (opens in new tab) Lazarov, Raytcho D. Co-Author Distance Author ID: lazarov.raytcho-d Published as: Lazarov, R. D.; Lazarov, Raytcho; Lazarov, Raytcho D.; Lazarov, R.; Lazarov, Rajcho D.; Lazarov, Raico D.; Lazarov, Raičo D.; Lazarov, Rajčo D.; Lazarov, Raitcho more...less Homepage: https://www.math.tamu.edu/~raytcho.lazarov/ External Links: ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 170 Publications since 1971 4 Contributions as Editor Reviewing Activity: 129 Reviews Biographic References: 2 Publications Co-Authors: 102 Co-Authors with 156 Joint Publications 2,947 Co-Co-Authors all top 5 Co-Authors 17 single-authored 36 Ewing, Richard Edward 24 Vassilevski, Panayot Spirov 18 Pasciak, Joseph E. 16 Jin, Bangti 14 Zhou, Zhi 12 Efendiev, Yalchin R. 11 Makarov, Volodymyr Leonidovych 9 Iliev, Oleg P. 9 Margenov, Svetozar D. 8 Chatzipantelidis, Panagiotis 7 Willems, Joerg 6 Galvis, Juan 6 Thomée, Vidar 5 Andreev, Andrey Borissov 5 Ginting, Victor 5 Harizanov, Stanislav 4 Carey, Graham Francis 4 Godev, K. N. 4 Lin, Yanping 4 Pehlivanov, A. I. 4 Samarskiĭ, Aleksandr Andreevich 4 Tomov, Stanimire Z. 4 Weinelt, Wilfried 3 Bramble, James H. 3 Chen, Hongsen 3 Chow, Sum S. 3 Douglas, Craig C. 3 Mokin, Yu. I. 3 Moon, Minam 3 Vabishchevich, Pëtr Nikolaevich 3 V”rbanova, E. A. 3 Zikatanov, Ludmil T. 2 Chen, Zhangxin 2 Chernogorova, Tatiana P. 2 Cole, Martin J. 2 Dobrev, Veselin A. 2 Duan, Beiping 2 Gavrilyuk, Ivan P. 2 Jones, Greg 2 Kuznetsov, Yurii Alekseevich 2 Makarov, Valeriĭ Leonidovich 2 Meladze, G. V. 2 Mishev, Ilya D. 2 Petkov, Vesselin M. 2 Petrova, Svetozara I. 2 Pirnazarov, S. P. 2 Racheva, Milena R. 2 Shi, Ke 2 Sinha, Rajen Kumar 2 Vassilev, Apostol T. 1 Bazhlekova, Emilia G. 1 Cai, Zhiqiang 1 Carstensen, Carsten 1 Cockburn, Bernardo 1 Dimov, Ivan Todor 1 Georgiev, Krassimir 1 Gopalakrishnan, Jay 1 Gordeziani, David George 1 Johnson, Chris R. 1 Jun, Hyung Kyu 1 Kachiashvili, Kartlos Joseph 1 Kang, Seul Ki 1 Kanschat, Guido 1 Kantchev, Vesselin 1 Kim, Chisup 1 Kraus, Johannes K. 1 Lin, Tao 1 Liu, Yikan 1 Lu, Shuai 1 Lu, Xiliang 1 Lymbery, Maria 1 Lyons, Stephen L. 1 Manteuffel, Thomas A. 1 Mao, Youli 1 Matus, Pëtr Paŭlavich 1 McCormick, Steve Fahrney 1 Minev, Peter Dimitrov 1 Naumovich, Anna 1 Panajotov, P. Kh. 1 Papavassiliou, Dimitrios V. 1 Pereverzev, Sergei V. 1 Qin, Guan 1 Ren, Jun 1 Repin, Sergeĭ Igorevich 1 Rundell, William 1 Russell, Thomas F. 1 Rybak, Iryna V. 1 Sarkis, Marcus V. 1 Schöberl, Joachim 1 Sendov, Blagovest Khristov 1 Sheen, Dongwoo 1 Shen, Yun 1 Srinivasan, Shriram 1 Streit, Uwe 1 Takhirov, Aziz 1 Tobiska, Lutz 1 Tomar, Satyendra K. 1 Vutov, Yavor 1 Wahlbin, Lars B. 1 Wang, Junping ...and 2 more Co-Authors all top 5 Serials 16 SIAM Journal on Numerical Analysis 7 Numerische Mathematik 7 Numerical Methods for Partial Differential Equations 7 Numerical Linear Algebra with Applications 7 Computational Methods in Applied Mathematics 6 Mathematics of Computation 5 Computer Methods in Applied Mechanics and Engineering 5 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 5 Computing 5 Differential Equations 5 Journal of Computational and Applied Mathematics 5 Soviet Mathematics. Doklady 4 Doklady Bolgarskoĭ Akademii Nauk 4 U.S.S.R. Computational Mathematics and Mathematical Physics 4 SIAM Journal on Scientific Computing 4 East-West Journal of Numerical Mathematics 3 IMA Journal of Numerical Analysis 3 Journal of Computational Physics 3 Fractional Calculus & Applied Analysis 2 Computers & Mathematics with Applications 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Applied Numerical Mathematics 2 Mathematica Balkanica. New Series 2 Mathematics of the USSR, Sbornik 2 Computing and Visualization in Science 2 Computational Geosciences 1 Bulletin of the Australian Mathematical Society 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 BIT 1 Differentsial’nye Uravneniya 1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Teoretichna i Prilozhna Mekhanika 1 SIAM Journal on Scientific and Statistical Computing 1 PLISKA. Studia Mathematica Bulgarica 1 Journal of Complexity 1 Applied Mathematical Modelling 1 Vychislitel’nye Protsessy i Sistemy 1 Computational and Applied Mathematics 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Pitman Research Notes in Mathematics Series 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 164 Numerical analysis (65-XX) 115 Partial differential equations (35-XX) 23 Mechanics of deformable solids (74-XX) 23 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 7 Potential theory (31-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 3 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 3,497 times in 2,513 Documents Cited by ▼ Year ▼ Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 540 2009 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 176 2013 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 161 2016 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 155 2016 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 149 2015 First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 139 1994 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 105 2015 Finite volume methods for convection-diffusion problems. Zbl 0847.65075Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 103 1996 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 88 1994 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 76 1997 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 75 2004 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 74 2012 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 73 2000 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 73 2015 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 67 2019 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 63 2014 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 61 2015 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065Ewing, R. E.; Lazarov, R. D.; Wang, J. 53 1991 Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 42 1991 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 39 2016 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 38 2016 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 37 2013 Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 36 2006 Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 36 2001 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 33 2005 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 30 2018 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112Carstensen, C.; Lazarov, R.; Tomov, S. 30 2005 Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. 29 1994 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052Ewing, R. E.; Lazarov, R. D.; Lin, Y. 29 2000 Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. 27 1992 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. 26 1992 Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 25 2006 Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. 25 2005 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 24 2011 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 23 2009 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079Vassilevski, Panayot S.; Lazarov, Raytcho D. 22 1996 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 20 2006 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 19 2016 Superconvergence of the gradient for quadratic triangular finite elements. Zbl 0644.65082Andreev, A. B.; Lazarov, Raičo D. 19 1988 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109Chatzipantelidis, P.; Lazarov, R. D. 19 2005 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 18 2015 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112Ewing, R.; Iliev, O.; Lazarov, R. 18 2001 Least-quares for second-order elliptic problems. Zbl 0944.65119Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 18 1998 A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116Lazarov, Raytcho; Tomov, Stanimire 18 2002 Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan 17 1999 Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. 16 1990 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A. 15 1982 Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 14 2009 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 14 2001 Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil 13 2016 Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. Zbl 0721.65047Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 13 1990 A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke 13 2015 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg 13 2009 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 13 1998 Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 12 2019 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 12 1996 Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 12 2020 Superconvergence of the gradient of linear finite elements for 3D Poisson equation. Zbl 0672.65088Kantchev, Vesselin; Lazarov, Raitcho 11 1986 Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun 11 2012 Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105Ewing, R. E.; Lazarov, R. D. 11 1993 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 11 2017 Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. Zbl 0726.65137Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 10 1991 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 9 2012 Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035Lazarov, Raytcho; Ye, Xiu 9 2007 On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna 9 2007 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 9 2007 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 9 2012 Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 9 1994 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 9 1997 Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078Chow, S.-S.; Carey, G. F.; Lazarov, R. D. 8 1991 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar 8 2013 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2018 Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 On the convergence of difference schemes for the approximation of solutions \(u\in W^ m_ 2 (m>0.5)\) of elliptic equations with mixed derivatives. Zbl 0525.65069Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried 7 1984 Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 7 1993 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 7 2010 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 7 2006 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114Lazarov, R.; Tomov, S.; Vassilevski, P. 7 2001 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061Lazarov, R. D.; Tomov, S. Z. 7 2001 Local superconvergence analysis of the approximate boundary-flux calculation. Zbl 0737.73094Lazarov, R. D.; Pehlivanov, A. I. 6 1990 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. 6 2007 On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045Lazarov, Raytcho D.; Margenov, Svetozar D. 6 2003 Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. 6 2003 A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253Lazarov, Raytcho; Vabishchevich, Petr 6 2017 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 6 2020 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. 6 1996 Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. 5 1990 CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098Lazarov, R. D.; Margenov, S. D. 5 2007 Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179Kanschat, Guido; Lazarov, Raytcho; Mao, Youli 5 2017 Adaptive techniques for time-dependent problems. Zbl 0788.65096Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T. 5 1992 Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080Ewing, R. E.; Lazarov, R. D. 5 1994 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 5 2020 Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. Zbl 0829.65112Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 4 1991 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Superconvergence analysis of flux computations for nonlinear problems. Zbl 0676.65096Chow, S.-S.; Lazarov, R. D. 4 1989 Estimates of the rate of convergence of difference schemes for fourth- order elliptic equations. Zbl 0541.65064Gavrilyuk, I. P.; Lazarov, R. D.; Makarov, V. L.; Pirnazarov, S. P. 4 1983 Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions. Zbl 0485.65069Lazarov, R. D.; Makarov, V. L. 4 1981 Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 12 2020 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 6 2020 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 5 2020 Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. 3 2020 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 67 2019 Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 12 2019 Multiscale HDG model reduction method for flows in heterogeneous porous media. Zbl 1432.76165Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu 3 2019 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 30 2018 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2018 A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. Zbl 1435.65207Lazarov, Raytcho; Takhirov, Aziz 2 2018 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 11 2017 A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253Lazarov, Raytcho; Vabishchevich, Petr 6 2017 Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179Kanschat, Guido; Lazarov, Raytcho; Mao, Youli 5 2017 Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030 3 2017 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 161 2016 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 155 2016 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 39 2016 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 38 2016 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 19 2016 Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil 13 2016 Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Zbl 1361.65060Srinivasan, Shriram; Lazarov, Raytcho; Minev, Peter 3 2016 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 149 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 105 2015 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 73 2015 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 61 2015 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 18 2015 A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke 13 2015 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 63 2014 Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. Zbl 07238847Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen 4 2014 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 176 2013 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 37 2013 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar 8 2013 Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 74 2012 Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun 11 2012 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 9 2012 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 9 2012 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 24 2011 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 7 2010 Discontinuous Galerkin subgrid finite element method for heterogeneous Brinkman’s equations. Zbl 1280.76061Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 2 2010 Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 540 2009 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 23 2009 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 14 2009 A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg 13 2009 Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T. 3 2008 Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035Lazarov, Raytcho; Ye, Xiu 9 2007 On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna 9 2007 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 9 2007 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. 6 2007 CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098Lazarov, R. D.; Margenov, S. D. 5 2007 Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 36 2006 Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 25 2006 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 20 2006 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 7 2006 Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues. Zbl 1142.65438Andreev, Andrey; Lazarov, Raytcho; Racheva, Milena 2 2006 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 33 2005 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112Carstensen, C.; Lazarov, R.; Tomov, S. 30 2005 Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. 25 2005 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109Chatzipantelidis, P.; Lazarov, R. D. 19 2005 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 75 2004 Upscaled modeling in multiphase flow applications. Zbl 1213.76196Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R. 1 2004 On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045Lazarov, Raytcho D.; Margenov, Svetozar D. 6 2003 Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. 6 2003 A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116Lazarov, Raytcho; Tomov, Stanimire 18 2002 Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129Lazarov, Raytcho D.; Vassilevski, Panayot S. 3 2002 The finite volume element method in nonconvex polygonal domains. Zbl 1118.65385Chatzipantelidis, P.; Lazarov, R. D. 2 2002 Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 36 2001 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112Ewing, R.; Iliev, O.; Lazarov, R. 18 2001 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 14 2001 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114Lazarov, R.; Tomov, S.; Vassilevski, P. 7 2001 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061Lazarov, R. D.; Tomov, S. Z. 7 2001 Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 3 2001 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 73 2000 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052Ewing, R. E.; Lazarov, R. D.; Lin, Y. 29 2000 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 On the discretization of interface problems with perfect and imperfect contact. Zbl 1014.76061Chernogorova, Tatiana; Ewing, Richard E.; Iliev, Oleg; Lazarov, Raytcho 3 2000 Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan 17 1999 Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 3 1999 Finite volume element approximations of integro-differential parabolic problems. Zbl 0980.65150Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping 1 1999 Least-quares for second-order elliptic problems. Zbl 0944.65119Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 18 1998 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 13 1998 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 76 1997 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 9 1997 Finite volume methods for convection-diffusion problems. Zbl 0847.65075Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 103 1996 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079Vassilevski, Panayot S.; Lazarov, Raytcho D. 22 1996 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 12 1996 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. 6 1996 Domain splitting algorithm for mixed finite element approximations to parabolic problems. Zbl 0878.65081Chen, H.; Lazarov, R. D. 3 1996 First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 139 1994 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 88 1994 Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. 29 1994 Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 9 1994 Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080Ewing, R. E.; Lazarov, R. D. 5 1994 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S. 3 1994 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105Ewing, R. E.; Lazarov, R. D. 11 1993 Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 7 1993 Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. 27 1992 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,730 Authors 57 Cockburn, Bernardo 40 Lazarov, Raytcho D. 36 Chung, Tsz Shun Eric 36 Wang, Hong 35 Zhou, Zhi 34 Ye, Xiu 32 Zhang, Zhimin 29 Li, Hong 27 Chen, Yanping 27 Efendiev, Yalchin R. 27 Jin, Bangti 27 Liu, Yang 24 Liu, Fawang 24 Stynes, Martin Joseph 23 Nguyen, Ngoc Cuong 21 Bi, Chunjia 20 Chen, Chuanjun 20 Ern, Alexandre 20 Rui, Hongxing 20 Yuan, Yirang 20 Zheng, Xiangcheng 19 Chen, Zhangxin 19 Xu, Da 18 Rhebergen, Sander 18 Xie, Xiaoping 18 Zhang, Yangwen 17 Ewing, Richard Edward 17 Wang, Junping 16 Di Pietro, Daniele Antonio 16 Galvis, Juan 16 Huang, Yunqing 16 Vassilevski, Panayot Spirov 16 Yang, Min 15 Li, Buyang 15 Margenov, Svetozar D. 15 Vabishchevich, Pëtr Nikolaevich 15 Yan, Yubin 14 Antonietti, Paola Francesca 14 Deng, Weihua 14 Fu, Hongfei 14 Lamichhane, Bishnu Prasad 14 Leung, Wingtat 14 Li, Jian 14 Yang, Suh-Yuh 13 Lu, Shujuan 13 Mu, Lin 13 Park, Eun-Jae 13 Shi, Dongyang 13 Singler, John R. 13 Turner, Ian William 12 Bui-Thanh, Tan 12 Dehghan Takht Fooladi, Mehdi 12 Ginting, Victor 12 Gopalakrishnan, Jay 12 Guo, Hui 12 Karniadakis, George Em 12 Kraus, Johannes K. 12 Ku, Jaeun 12 Li, Binjie 12 Li, Changpin 12 Li, Zi-Cai 12 Liao, HongLin 12 Qiu, Weifeng 12 Wohlmuth, Barbara I. 12 Yang, Danping 12 Zhang, Jiwei 12 Zhang, Shangyou 12 Zhao, Yanmin 12 Zikatanov, Ludmil T. 11 Chen, Gang 11 Fu, Guosheng 11 Huerta, Antonio 11 Jeon, Youngmok 11 Li, Yonghai 11 Lyu, Pin 11 Pani, Amiya Kumar 11 Shi, Ke 11 Vong, Seakweng 11 Zeng, Fanhai 11 Zhang, Zhiyue 11 Zou, Qingsong 10 Bradji, Abdallah 10 Burman, Erik 10 Carey, Graham Francis 10 Chen, Hu 10 Gaspar, Francisco José 10 Karaa, Samir 10 Li, Changfeng 10 Lin, Yanping 10 Nie, Daxin 10 Ruiz-Baier, Ricardo 10 Sevilla, Ruben 10 Sun, Jing 10 Wang, Zhibo 10 Xu, Jinchao 10 Zhang, Jiansong 9 Beirão da Veiga, Lourenço 9 Calo, Victor Manuel 9 Chen, An 9 Du, Qiang ...and 2,630 more Authors all top 5 Cited in 214 Serials 201 Journal of Scientific Computing 187 Journal of Computational and Applied Mathematics 149 Computers & Mathematics with Applications 147 Journal of Computational Physics 137 Computer Methods in Applied Mechanics and Engineering 116 Applied Numerical Mathematics 98 Applied Mathematics and Computation 81 Mathematics of Computation 74 SIAM Journal on Scientific Computing 68 SIAM Journal on Numerical Analysis 62 Numerische Mathematik 62 Numerical Methods for Partial Differential Equations 45 Numerical Algorithms 40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 39 Computational Methods in Applied Mathematics 38 International Journal of Computer Mathematics 34 Advances in Computational Mathematics 30 Fractional Calculus & Applied Analysis 24 Mathematics and Computers in Simulation 24 Computational Geosciences 23 Applied Mathematics Letters 22 International Journal for Numerical Methods in Engineering 22 Computational and Applied Mathematics 21 Advances in Difference Equations 20 Advances in Applied Mathematics and Mechanics 19 Communications in Nonlinear Science and Numerical Simulation 18 BIT 17 Inverse Problems 17 Communications on Applied Mathematics and Computation 16 Computers and Fluids 16 Communications in Computational Physics 15 Numerical Functional Analysis and Optimization 15 Journal of Applied Mathematics and Computing 13 Journal of Mathematical Analysis and Applications 12 Numerical Linear Algebra with Applications 12 Multiscale Modeling & Simulation 11 Mathematical Methods in the Applied Sciences 11 M\(^3\)AS. 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