Edit Profile (opens in new tab) Lazarov, Raytcho D. Compute Distance To: Compute 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: 103 Co-Authors with 156 Joint Publications 2,841 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, Jayadeep 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, Peng 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. ...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 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 164 Numerical analysis (65-XX) 114 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 127 Publications have been cited 3,069 times in 2,218 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 466 2009 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 153 2013 The Galerkin finite element method for a multi-term time-fractional diffusion equation. Zbl 1352.65350Jin, Bangti; Lazarov, Raytcho; Liu, Yikan; Zhou, Zhi 131 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. 128 1994 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 128 2016 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 124 2016 Finite volume methods for convection-diffusion problems. Zbl 0847.65075Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 97 1996 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 97 2015 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 84 1994 Finite volume element approximations of nonlocal reactive flows in porous media. Zbl 0961.76050Ewing, Richard; Lazarov, Raytcho; Lin, Yanping 69 2000 Error estimates for a finite volume element method for parabolic equations in convex polygonal domains. Zbl 1067.65092Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 69 2004 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. 68 1997 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 67 2015 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 66 2012 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 60 2014 Superconvergence of the velocity along the Gauss lines in mixed finite element methods. Zbl 0733.65065Ewing, R. E.; Lazarov, R. D.; Wang, J. 49 1991 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 48 2015 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 43 2019 Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. 40 1991 Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. 35 2001 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 34 2016 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 33 2013 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 33 2016 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. 32 2006 A finite volume element method for a non-linear elliptic problem. Zbl 1164.65494Chatzipantelidis, P.; Ginting, V.; Lazarov, R. D. 30 2005 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112Carstensen, C.; Lazarov, R.; Tomov, S. 28 2005 Finite volume element approximations of nonlocal in time one-dimensional flows in porous media. Zbl 0969.76052Ewing, R. E.; Lazarov, R. D.; Lin, Y. 27 2000 Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. 26 1992 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. 25 1992 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. 24 1994 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. 23 2006 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 06986996Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 22 2018 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. 21 2005 Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data. Zbl 1205.65341Sinha, Rajen K.; Ewing, Richard E.; Lazarov, Raytcho D. 20 2009 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 20 2011 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079Vassilevski, Panayot S.; Lazarov, Raytcho D. 19 1996 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 A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations. Zbl 1014.65116Lazarov, Raytcho; Tomov, Stanimire 18 2002 Superconvergence of the gradient for quadratic triangular finite elements. Zbl 0644.65082Andreev, A. B.; Lazarov, Raičo D. 18 1988 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109Chatzipantelidis, P.; Lazarov, R. D. 18 2005 Least-quares for second-order elliptic problems. Zbl 0944.65119Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. 17 1998 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 17 2006 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112Ewing, R.; Iliev, O.; Lazarov, R. 16 2001 Mortar finite volume element approximations of second order elliptic problems. Zbl 0963.65112Ewing, R.; Lazarov, R.; Lin, T.; Lin, Y. 16 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 16 1999 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 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. 14 1990 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 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. 13 2001 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 13 2015 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. 13 1982 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 12 1998 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 12 2016 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 11 2009 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 algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 11 1996 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 A multiscale HDG method for second order elliptic equations. I: Polynomial and homogenization-based multiscale spaces. Zbl 1322.65105Efendiev, Yalchin; Lazarov, Raytcho; Shi, Ke 11 2015 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. 11 1990 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 Stabilized discontinuous finite element approximations for Stokes equations. Zbl 1101.76035Lazarov, Raytcho; Ye, Xiu 9 2007 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 9 2019 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 On nonnegativity preservation in finite element methods for subdiffusion equations. Zbl 1364.65197Jin, Bangti; Lazarov, Raytcho; Thomée, Vidar; Zhou, Zhi 9 2017 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 8 1997 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 8 2012 Superconvergence of the gradient of linear finite elements for 3D Poisson equation. Zbl 0672.65088Kantchev, Vesselin; Lazarov, Raitcho 8 1986 Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078Chow, 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 1352.65351Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 8 2013 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 8 2007 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 8 2007 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar 8 2013 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 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061Lazarov, R. D.; Tomov, S. Z. 7 2001 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 7 2012 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 7 2018 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 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114Lazarov, R.; Tomov, S.; Vassilevski, P. 6 2001 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 On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045Lazarov, Raytcho D.; Margenov, Svetozar D. 5 2003 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. 5 1996 Local superconvergence analysis of the approximate boundary-flux calculation. Zbl 0737.73094Lazarov, R. D.; Pehlivanov, A. I. 5 1990 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 5 2010 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 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 5 2006 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 5 2020 Adaptive techniques for time-dependent problems. Zbl 0788.65096Ewing, R. E.; Lazarov, R. D.; Vassilev, A. T. 4 1992 Approximation of parabolic problems on grids locally refined in time and space. Zbl 0811.65080Ewing, R. E.; Lazarov, R. D. 4 1994 Superconvergence analysis of flux computations for nonlinear problems. Zbl 0676.65096Chow, S.-S.; Lazarov, R. D. 4 1989 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 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. 4 2007 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 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 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 4 2020 Finite volume methods with local refinement for convection-diffusion problems. Zbl 0807.65113Lazarov, R. D.; Mishev, I. D.; Vassilevski, P. S. 3 1994 Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129Lazarov, Raytcho D.; Vassilevski, Panayot S. 3 2002 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 Predictioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems. Zbl 1267.65194Dobrev, Veselin A.; Lazarov, Raytcho D.; Zikatanov, Ludmil T. 3 2008 Numerical solution of fractional diffusion-reaction problems based on BURA. Zbl 1452.65060Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar; Marinov, Pencho 5 2020 A survey on numerical methods for spectral space-fractional diffusion problems. Zbl 1474.65438Harizanov, Stanislav; Lazarov, Raytcho; Margenov, Svetozar 4 2020 Numerical approximation of fractional powers of elliptic operators. Zbl 1466.65184Duan, Beiping; Lazarov, Raytcho D.; Pasciak, Joseph E. 2 2020 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 2 2020 Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview. Zbl 1440.65138Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 43 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 9 2019 Multiscale HDG model reduction method for flows in heterogeneous porous media. Zbl 1432.76165Moon, Minam; Lazarov, Raytcho; Jun, Hyung Kyu 1 2019 Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Zbl 06986996Harizanov, S.; Lazarov, R.; Margenov, S.; Marinov, P.; Vutov, Y. 22 2018 Space-time Petrov-Galerkin FEM for fractional diffusion problems. Zbl 1382.65311Duan, Beiping; Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 7 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 9 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 3 2017 Preface: Numerical analysis of fractional differential equations. Zbl 1431.00030 1 2017 Two fully discrete schemes for fractional diffusion and diffusion-wave equations with nonsmooth data. Zbl 1381.65082Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 128 2016 An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data. Zbl 1336.65150Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 124 2016 A Petrov-Galerkin finite element method for fractional convection-diffusion equations. Zbl 1335.65092Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 34 2016 Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. Zbl 1333.65111Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi 33 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 12 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 131 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 97 2015 Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion. Zbl 1321.65142Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 67 2015 An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Zbl 1325.76113Bazhlekova, Emilia; Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 48 2015 A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems. Zbl 1425.65197Efendiev, Yalchin; Lazarov, Raytcho; Moon, Minam; Shi, Ke 13 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 11 2015 Error analysis of a finite element method for the space-fractional parabolic equation. Zbl 1310.65126Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi 60 2014 Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi 153 2013 Generalized multiscale finite element method. Symmetric interior penalty coupling. Zbl 1349.76199Efendiev, Y.; Galvis, J.; Lazarov, R.; Moon, M.; Sarkis, M. 33 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 Some error estimates for the finite volume element method for a parabolic problem. Zbl 1285.65059Chatzipantelidis, Panagiotis; Lazarov, Raytcho; Thomée, Vidar 8 2013 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 66 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 Some error estimates for the lumped mass finite element method for a parabolic problem. Zbl 1251.65129Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V. 8 2012 Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D. 7 2012 Variational multiscale finite element method for flows in highly porous media. Zbl 1244.76024Iliev, Oleg P.; Lazarov, Raytcho D.; Willems, Joerg 20 2011 Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg 5 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 466 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. 20 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 11 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 8 2007 On the balancing principle for some problems of numerical analysis. Zbl 1129.65041Lazarov, Raytcho D.; Lu, Shuai; Pereverzev, Sergei V. 8 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 Modeling and simulation of pollutants transport in rivers. Zbl 1126.92053Kachiashvili, K.; Gordeziani, D.; Lazarov, R.; Melikdzhanian, D. 4 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. 32 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. 23 2006 Parabolic finite element equations in nonconvex polygonal domains. Zbl 1108.65097Chatzipantelidis, P.; Lazarov, R. D.; Thomée, V.; Wahlbin, L. B. 17 2006 Dynamic data driven simulations in stochastic environments. Zbl 1122.65006Douglas, C.; Efendiev, Y.; Ewing, R.; Ginting, V.; Lazarov, R. 5 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. 30 2005 Explicit and averaging a posteriori error estimates for adaptive finite volume methods. Zbl 1084.65112Carstensen, C.; Lazarov, R.; Tomov, S. 28 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. 21 2005 Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains. Zbl 1079.65109Chatzipantelidis, P.; Lazarov, R. D. 18 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. 69 2004 Upscaled modeling in multiphase flow applications. Zbl 1213.76196Ginting, V.; Ewing, R.; Efendiev, Y.; Lazarov, R. 1 2004 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 On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. Zbl 1032.65045Lazarov, Raytcho D.; Margenov, Svetozar D. 5 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. 35 2001 A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients. Zbl 0999.65112Ewing, R.; Iliev, O.; Lazarov, R. 16 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. 13 2001 Adaptive finite volume element method for convection-diffusion-reaction problems in 3 D. Zbl 1047.76061Lazarov, R. D.; Tomov, S. Z. 7 2001 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114Lazarov, R.; Tomov, S.; Vassilevski, P. 6 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 69 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. 27 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 2 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 16 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. 2 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. 17 1998 Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data. Zbl 0894.65044Chen, Hongsen; Ewing, Richard; Lazarov, Raytcho 12 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. 68 1997 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 8 1997 Finite volume methods for convection-diffusion problems. Zbl 0847.65075Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 97 1996 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079Vassilevski, Panayot S.; Lazarov, Raytcho D. 19 1996 Domain decomposition algorithms for mixed methods for second-order elliptic problems. Zbl 0849.65088Chen, Zhangxin; Ewing, Richard E.; Lazarov, Raytcho 11 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. 5 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. 128 1994 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 84 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. 24 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. 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 Preconditioning of nonconforming finite element approximations of second order elliptic problems. Zbl 0820.65069Ewing, R. E.; Kuznetsov, Yu.; Lazarov, R. D.; Maliassov, S. 2 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. 26 1992 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. 25 1992 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,420 Authors 55 Cockburn, Bernardo 39 Lazarov, Raytcho D. 33 Wang, Hong 33 Ye, Xiu 32 Chung, Tsz Shun Eric 31 Zhou, Zhi 27 Zhang, Zhimin 25 Jin, Bangti 24 Chen, Yanping 24 Efendiev, Yalchin R. 23 Li, Hong 22 Stynes, Martin 21 Bi, Chunjia 20 Liu, Yang 20 Nguyen, Ngoc Cuong 19 Ern, Alexandre 19 Liu, Fawang 19 Yuan, Yirang 18 Chen, Chuanjun 18 Chen, Zhangxin 18 Rui, Hongxing 17 Ewing, Richard Edward 17 Wang, Junping 17 Zhang, Yangwen 17 Zheng, Xiangcheng 16 Xie, Xiaoping 16 Yang, Min 15 Di Pietro, Daniele Antonio 15 Galvis, Juan 15 Xu, Da 14 Lamichhane, Bishnu Prasad 14 Li, Buyang 14 Margenov, Svetozar D. 14 Vabishchevich, Pëtr Nikolaevich 14 Vassilevski, Panayot Spirov 14 Yan, Yubin 14 Yang, Suh-Yuh 13 Antonietti, Paola Francesca 13 Huang, Yunqing 13 Li, Jian 13 Mu, Lin 13 Park, Eun-Jae 13 Shi, Dongyang 12 Dehghan Takht Fooladi, Mehdi 12 Fu, Hongfei 12 Guo, Hui 12 Ku, Jaeun 12 Li, Zi-Cai 12 Liao, HongLin 12 Rhebergen, Sander 12 Singler, John R. 12 Wohlmuth, Barbara I. 12 Yang, Danping 11 Deng, Weihua 11 Huerta, Antonio 11 Jeon, Youngmok 11 Karniadakis, George Em 11 Kraus, Johannes K. 11 Leung, Wingtat 11 Li, Changpin 11 Lu, Shujuan 11 Qiu, Weifeng 11 Shi, Ke 11 Turner, Ian William 11 Zhang, Jiwei 11 Zhang, Shangyou 11 Zou, Qingsong 10 Bradji, Abdallah 10 Bui-Thanh, Tan 10 Carey, Graham Francis 10 Chen, Gang 10 Chen, Hu 10 Fu, Guosheng 10 Gaspar, Francisco José 10 Ginting, Victor 10 Li, Binjie 10 Li, Yonghai 10 Pani, Amiya Kumar 10 Sevilla, Ruben 10 Xu, Jinchao 10 Zhang, Zhiyue 10 Zhao, Yanmin 10 Zikatanov, Ludmil T. 9 Beirão da Veiga, Lourenço 9 Burman, Erik 9 Calo, Victor Manuel 9 Du, Qiang 9 Gracia, José Luis 9 Gunzburger, Max D. 9 Karaa, Samir 9 Kronbichler, Martin 9 Li, Changfeng 9 Liang, Dong 9 Lin, Yanping 9 Lyu, Pin 9 Sayas, Francisco-Javier 9 Vong, Seakweng 9 Zeng, Fanhai 8 Chen, An 8 Chen, Huanzhen ...and 2,320 more Authors all top 5 Cited in 200 Serials 184 Journal of Scientific Computing 165 Journal of Computational and Applied Mathematics 127 Journal of Computational Physics 123 Computers & Mathematics with Applications 118 Computer Methods in Applied Mechanics and Engineering 108 Applied Numerical Mathematics 90 Applied Mathematics and Computation 76 Mathematics of Computation 66 SIAM Journal on Scientific Computing 62 SIAM Journal on Numerical Analysis 62 Numerical Methods for Partial Differential Equations 60 Numerische Mathematik 38 Numerical Algorithms 36 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 33 Computational Methods in Applied Mathematics 30 Advances in Computational Mathematics 29 Fractional Calculus & Applied Analysis 28 International Journal of Computer Mathematics 24 Computational Geosciences 23 Applied Mathematics Letters 22 International Journal for Numerical Methods in Engineering 19 Mathematics and Computers in Simulation 19 Advances in Difference Equations 17 Advances in Applied Mathematics and Mechanics 16 BIT 16 Computational and Applied Mathematics 15 Computers and Fluids 15 Communications in Nonlinear Science and Numerical Simulation 15 Communications on Applied Mathematics and Computation 14 Numerical Functional Analysis and Optimization 13 Inverse Problems 13 Journal of Mathematical Analysis and Applications 12 Numerical Linear Algebra with Applications 12 Communications in Computational Physics 11 Mathematical Methods in the Applied Sciences 11 Journal of Applied Mathematics and Computing 10 Calcolo 10 Computing 10 M\(^3\)AS. 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