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: 174 Publications since 1971, including 4 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 129 Reviews Biographic References: 2 Publications Co-Authors: 103 Co-Authors with 160 Joint Publications 3,163 Co-Co-Authors all top 5 Co-Authors 17 single-authored 36 Ewing, Richard Edward 24 Vassilevski, Panayot Spirov 19 Pasciak, Joseph E. 17 Jin, Bangti 14 Zhou, Zhi 12 Efendiev, Yalchin R. 11 Makarov, Volodymyr Leonidovych 11 Margenov, Svetozar D. 9 Iliev, Oleg P. 8 Chatzipantelidis, Panagiotis 7 Willems, Joerg 6 Galvis, Juan 6 Harizanov, Stanislav 6 Thomée, Vidar 5 Andreev, Andrey Borissov 5 Ginting, Victor 5 Zikatanov, Ludmil T. 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. 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 Kraus, Johannes K. 2 Kuznetsov, Yurii Alekseevich 2 Lymbery, Maria 2 Makarov, Valeriĭ Leonidovich 2 Maliassov, Serguei Yu. 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 Rundell, William 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 Lin, Tao 1 Liu, Yikan 1 Lu, Shuai 1 Lu, Xiliang 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 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. ...and 3 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 166 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 3,743 times in 2,707 Documents Cited by ▼ Year ▼ Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312 Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 587 2009 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 187 2013 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 186 2016 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 173 2016 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350 Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 172 2015 First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119 Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 144 1994 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 108 2015 Finite volume methods for convection-diffusion problems. Zbl 0847.65075 Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 107 1996 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108 Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 91 1994 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 83 2019 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 80 1997 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 77 2015 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 76 2004 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 75 2012 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113 Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 73 2015 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050 Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 73 2000 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 64 2014 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065 Ewing, R. E.; Lazarov, R. D.; Wang, J. 53 1991 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111 Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 43 2016 Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 42 1991 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199 Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 39 2013 Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129 Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 38 2001 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 38 2016 Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263 Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 37 2006 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132 Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 36 2018 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494 Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 34 2005 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052 Ewing, R. E.; Lazarov, R. D.; Lin, Y. 30 2000 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112 Carstensen, C.; Lazarov, R.; Tomov, S. 30 2005 Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071 Ewing, Richard E.; Lazarov, Raytcho D.; Vassilev, Apostol T. 29 1994 Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115 Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. 27 1992 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079 Pehlivanov, 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 1106.65121 Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 26 2006 Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136 Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. 26 2005 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024 Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 25 2011 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341 Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 24 2009 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079 Vassilevski, Panayot S.; Lazarov, Raytcho D. 22 1996 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197 Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 20 2015 Superconvergence of the gradient for quadratic triangular finite elements. Zbl 0644.65082 Andreev, A. B.; Lazarov, Raičo D. 20 1988 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 20 2006 Least-quares for second-order elliptic problems. Zbl 0944.65119 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 19 1998 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109 Chatzipantelidis, P.; Lazarov, R. D. 19 2005 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172 Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 19 2016 A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116 Lazarov, Raytcho; Tomov, Stanimire 18 2002 Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041 Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan 18 1999 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112 Ewing, R.; Iliev, O.; Lazarov, R. 18 2001 Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 18 2020 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 17 2001 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112 Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080 Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. 16 1990 Application of exact difference schemes for construction and investigation of difference schemes for generalized solutions. Zbl 0494.65055 Lazarov, R. D.; Makarov, V. L.; Samarskij, A. A. 15 1982 Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 15 2009 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451 Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376 Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil 15 2016 Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. Zbl 0721.65047 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 14 1990 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044 Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 14 1998 A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105 Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke 13 2015 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079 Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197 Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 13 2017 Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 13 2019 A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025 Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg 13 2009 Superconvergence of the gradient of linear finite elements for 3D Poisson equation. Zbl 0672.65088 Kantchev, Vesselin; Lazarov, Raitcho 12 1986 Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements. Zbl 0835.65105 Ewing, R. E.; Lazarov, R. D. 12 1993 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088 Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 12 1996 On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386 Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna 12 2007 Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun 11 2012 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311 Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 10 2018 Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. Zbl 0726.65137 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 10 1991 Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035 Lazarov, Raytcho; Ye, Xiu 10 2007 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 10 2012 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041 Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 10 2007 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049 Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 9 1997 Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 9 1994 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 9 2020 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248 Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 9 2012 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059 Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar 8 2013 Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078 Chow, S.-S.; Carey, G. F.; Lazarov, R. D. 8 1991 Galerkin FEM for fractional order parabolic equations with initial data in \(H ^{ - s }\), \(0 \leq s \leq 1\). Zbl 1352.65351 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184 Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. 8 2020 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099 Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 8 2010 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006 Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 8 2006 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 8 2020 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061 Lazarov, R. D.; Tomov, S. Z. 7 2001 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114 Lazarov, R.; Tomov, S.; Vassilevski, P. 7 2001 Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076 Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 7 1993 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 0525.65069 Lazarov, Rajčo D.; Makarov, Vladimir L.; Weinelt, Wilfried 7 1984 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115 Chen, Z.; Ewing, R. E.; Lazarov, R. D.; Maliassov, S.; Kuznetsov, Y. A. 6 1996 Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103 Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. 6 2003 Local superconvergence analysis of the approximate boundary-flux calculation. Zbl 0737.73094 Lazarov, R. D.; Pehlivanov, A. I. 6 1990 A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253 Lazarov, Raytcho; Vabishchevich, Petr 6 2017 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053 Kachiashvili, 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 1032.65045 Lazarov, Raytcho D.; Margenov, Svetozar D. 6 2003 Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179 Kanschat, Guido; Lazarov, Raytcho; Mao, Youli 5 2017 Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024 Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. 5 1990 Adaptive techniques for time-dependent problems. Zbl 0788.65096 Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T. 5 1992 Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080 Ewing, R. E.; Lazarov, R. D. 5 1994 CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. Zbl 1145.65098 Lazarov, R. D.; Margenov, S. D. 5 2007 Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. Zbl 07238847 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen 5 2014 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069 Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Convergence of a difference method and the method of lines for multidimensional problems of mathematical physics in classes of generalized solutions. Zbl 0485.65069 Lazarov, R. D.; Makarov, V. L. 4 1981 Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. Zbl 0829.65112 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 4 1991 Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. Zbl 07505620 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 18 2020 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 9 2020 Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184 Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. 8 2020 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 8 2020 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 83 2019 Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\). Zbl 1429.65064 Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho; Pasciak, Joseph 13 2019 Multiscale HDG model reduction method for flows in heterogeneous porous media. Zbl 1432.76165 Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu 3 2019 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 1513.65132 Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 36 2018 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311 Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 10 2018 A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. Zbl 1435.65207 Lazarov, Raytcho; Takhirov, Aziz 2 2018 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197 Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 13 2017 A numerical study of the homogeneous elliptic equation with fractional boundary conditions. Zbl 1364.65253 Lazarov, Raytcho; Vabishchevich, Petr 6 2017 Geometric multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: a numerical study. Zbl 1381.76179 Kanschat, 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 1336.65150 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 186 2016 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 173 2016 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111 Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 43 2016 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 38 2016 A simple finite element method for boundary value problems with a Riemann-Liouville derivative. Zbl 1328.65172 Jin, Bangti; Lazarov, Raytcho; Lu, Xiliang; Zhou, Zhi 19 2016 Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. Zbl 1380.65376 Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil 15 2016 Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Zbl 1361.65060 Srinivasan, Shriram; Lazarov, Raytcho; Minev, Peter 3 2016 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350 Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 172 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 108 2015 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 77 2015 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113 Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 73 2015 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197 Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 20 2015 A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105 Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke 13 2015 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 64 2014 Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces. Zbl 07238847 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Weißer, Steffen 5 2014 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 187 2013 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199 Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 39 2013 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059 Chatzipantelidis, 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 1352.65351 Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 75 2012 Robust two-level domain decomposition preconditioners for high-contrast anisotropic flows in multiscale media. Zbl 1284.65153 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Margenov, Svetozar; Ren, Jun 11 2012 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 10 2012 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248 Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 9 2012 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024 Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 25 2011 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099 Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 8 2010 Discontinuous Galerkin subgrid finite element method for heterogeneous Brinkman’s equations. Zbl 1280.76061 Iliev, 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 1205.65312 Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho 587 2009 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341 Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 24 2009 Parabolic finite volume element equations in nonconvex polygonal domains. Zbl 1168.65051 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 15 2009 Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems. Zbl 1167.65451 Lazarov, Raytcho; Repin, Sergey; Tomar, Satyendra K. 15 2009 A simplified method for upscaling composite materials with high contrast of the conductivity. Zbl 1202.80025 Ewing, R.; Iliev, O.; Lazarov, R.; Rybak, I.; Willems, Joerg 13 2009 Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194 Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T. 3 2008 On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems. Zbl 1142.74386 Ewing, Richard E.; Iliev, Oleg P.; Lazarov, Raytcho D.; Naumovich, Anna 12 2007 Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035 Lazarov, Raytcho; Ye, Xiu 10 2007 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041 Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 10 2007 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053 Kachiashvili, 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 1145.65098 Lazarov, R. D.; Margenov, S. D. 5 2007 Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263 Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 37 2006 Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. Zbl 1106.65121 Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 26 2006 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 20 2006 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006 Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 8 2006 Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues. Zbl 1142.65438 Andreev, Andrey; Lazarov, Raytcho; Racheva, Milena 2 2006 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494 Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 34 2005 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112 Carstensen, C.; Lazarov, R.; Tomov, S. 30 2005 Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems. Zbl 1075.65136 Andreev, A. B.; Lazarov, R. D.; Racheva, M. R. 26 2005 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109 Chatzipantelidis, P.; Lazarov, R. D. 19 2005 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092 Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 76 2004 Upscaled modeling in multiphase flow applications. Zbl 1213.76196 Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R. 2 2004 Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103 Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S. 6 2003 On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045 Lazarov, Raytcho D.; Margenov, Svetozar D. 6 2003 A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116 Lazarov, Raytcho; Tomov, Stanimire 18 2002 Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129 Lazarov, Raytcho D.; Vassilevski, Panayot S. 3 2002 The finite volume element method in nonconvex polygonal domains. Zbl 1118.65385 Chatzipantelidis, P.; Lazarov, R. D. 2 2002 Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129 Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 38 2001 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112 Ewing, R.; Iliev, O.; Lazarov, R. 18 2001 Least-squares methods for linear elasticity based on a discrete minus one inner product. Zbl 0999.74107 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 17 2001 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061 Lazarov, R. D.; Tomov, S. Z. 7 2001 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114 Lazarov, R.; Tomov, S.; Vassilevski, P. 7 2001 Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107 Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 3 2001 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050 Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 73 2000 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052 Ewing, R. E.; Lazarov, R. D.; Lin, Y. 30 2000 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112 Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 2000 On the discretization of interface problems with perfect and imperfect contact. Zbl 1014.76061 Chernogorova, Tatiana; Ewing, Richard E.; Iliev, Oleg; Lazarov, Raytcho 3 2000 Numerical well model for non-Darcy flow through isotropic porous media. Zbl 0964.76041 Ewing, Richard E.; Lazarov, Raytcho D.; Lyons, Steve L.; Papavassiliou, Dimitrios V.; Pasciak, Joseph; Qin, Guan 18 1999 Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554 Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 3 1999 Finite volume element approximations of integro-differential parabolic problems. Zbl 0980.65150 Ewing, Richard E.; Lazarov, Raytcho D.; Lin, Yanping 1 1999 Least-quares for second-order elliptic problems. Zbl 0944.65119 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 19 1998 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044 Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 14 1998 A least-squares approach based on a discrete minus one inner product for first order systems. Zbl 0870.65104 Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 80 1997 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049 Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 9 1997 Finite volume methods for convection-diffusion problems. Zbl 0847.65075 Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 107 1996 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079 Vassilevski, Panayot S.; Lazarov, Raytcho D. 22 1996 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088 Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 12 1996 Multilevel preconditioners for mixed methods for second order elliptic problems. Zbl 0906.65115 Chen, 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 0878.65081 Chen, H.; Lazarov, R. D. 3 1996 First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119 Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F. 144 1994 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108 Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 91 1994 Finite difference scheme for parabolic problems on composite grids with refinement in time and space. Zbl 0817.65071 Ewing, 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 0840.65124 Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 9 1994 Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080 Ewing, R. E.; Lazarov, R. D. 5 1994 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069 Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 4 1994 Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113 Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S. 3 1994 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079 Pehlivanov, 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 0835.65105 Ewing, R. E.; Lazarov, R. D. 12 1993 Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076 Ewing, 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 0813.65115 Vassilevski, 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 2,917 Authors 58 Cockburn, Bernardo 41 Lazarov, Raytcho D. 39 Zhou, Zhi 38 Chung, Tsz Shun Eric 38 Wang, Hong 36 Zhang, Zhimin 34 Ye, Xiu 30 Chen, Yanping 29 Jin, Bangti 29 Li, Hong 27 Efendiev, Yalchin R. 27 Liu, Yang 26 Liu, Fawang 26 Stynes, Martin Joseph 24 Nguyen, Ngoc Cuong 23 Zheng, Xiangcheng 22 Rui, Hongxing 21 Bi, Chunjia 21 Chen, Zhangxin 21 Ern, Alexandre 21 Xie, Xiaoping 21 Xu, Da 21 Yuan, Yirang 20 Chen, Chuanjun 20 Rhebergen, Sander 20 Zhang, Yangwen 18 Huang, Yunqing 17 Deng, Weihua 17 Ewing, Richard Edward 17 Wang, Junping 17 Yan, Yubin 16 Di Pietro, Daniele Antonio 16 Galvis, Juan 16 Li, Buyang 16 Margenov, Svetozar D. 16 Vabishchevich, Pëtr Nikolaevich 16 Vassilevski, Panayot Spirov 16 Yang, Min 15 Antonietti, Paola Francesca 15 Fu, Hongfei 15 Lamichhane, Bishnu Prasad 15 Lu, Shujuan 14 Leung, Wingtat 14 Li, Changpin 14 Li, Jian 14 Lyu, Pin 14 Mu, Lin 14 Park, Eun-Jae 14 Shi, Dongyang 14 Singler, John R. 14 Turner, Ian William 14 Vong, Seakweng 14 Yang, Suh-Yuh 14 Zhao, Yanmin 13 Bradji, Abdallah 13 Bui-Thanh, Tan 13 Chen, Gang 13 Guo, Hui 13 Kraus, Johannes K. 13 Li, Binjie 13 Li, Yonghai 13 Qiu, Weifeng 13 Wohlmuth, Barbara I. 12 Dehghan Takht Fooladi, Mehdi 12 Fu, Guosheng 12 Ginting, Victor 12 Gopalakrishnan, Jay 12 Jeon, Youngmok 12 Karniadakis, George Em 12 Ku, Jaeun 12 Li, Meng 12 Li, Zi-Cai 12 Liao, HongLin 12 Pani, Amiya Kumar 12 Shi, Ke 12 Yang, Danping 12 Zeng, Fanhai 12 Zhang, Jiwei 12 Zhang, Shangyou 11 Burman, Erik 11 Chen, Hu 11 Fu, Shubin 11 Huerta, Antonio 11 Li, Changfeng 11 Lin, Yanping 11 Nie, Daxin 11 Sevilla, Ruben 11 Solano, Manuel E. 11 Sun, Jing 11 Wang, Fenling 11 Wang, Zhibo 11 Zhang, Jiansong 11 Zhang, Zhiyue 11 Zou, Qingsong 10 Carey, Graham Francis 10 Du, Qiang 10 Gaspar, Francisco José 10 Karaa, Samir 10 Liu, Jinghong 10 Nguyen Huy Tuan ...and 2,817 more Authors all top 5 Cited in 223 Serials 219 Journal of Scientific Computing 191 Journal of Computational and Applied Mathematics 160 Computers & Mathematics with Applications 152 Journal of Computational Physics 144 Computer Methods in Applied Mechanics and Engineering 118 Applied Numerical Mathematics 98 Applied Mathematics and Computation 87 Numerical Methods for Partial Differential Equations 84 Mathematics of Computation 77 SIAM Journal on Scientific Computing 73 SIAM Journal on Numerical Analysis 62 Numerische Mathematik 52 Numerical Algorithms 46 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Computational Methods in Applied Mathematics 40 International Journal of Computer Mathematics 35 Advances in Computational Mathematics 33 Fractional Calculus & Applied Analysis 28 International Journal for Numerical Methods in Engineering 26 Mathematical Methods in the Applied Sciences 24 Mathematics and Computers in Simulation 24 Computational Geosciences 23 Applied Mathematics Letters 23 Computational and Applied Mathematics 22 Communications in Nonlinear Science and Numerical Simulation 21 Advances in Difference Equations 21 Advances in Applied Mathematics and Mechanics 19 Inverse Problems 19 BIT 17 Communications on Applied Mathematics and Computation 16 Computers and Fluids 16 Journal of Applied Mathematics and Computing 16 Communications in Computational Physics 15 Numerical Functional Analysis and Optimization 14 Multiscale Modeling & Simulation 13 Journal of Mathematical Analysis and Applications 13 International Journal of Numerical Analysis and Modeling 12 Numerical Linear Algebra with Applications 11 M\(^3\)AS. 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