List of Publications of Raytcho Lazarov by Years

Publications of R.D. Lazarov by Years

| 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1983 | 1982 | 1981 | 1980 | 1979 | 1978 | 1977 | 1976 | 1975 | 1974 | 1973 | 1972 | 1971 |

2008 Top Home

V.A. Dobrev, R.D. Lazarov, and L.T. Zikatanov, Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for second order elliptic problems , In Domain Decomposition Methods Science and Enginering XVII, Lecture Notes in Computational Science and Engineering, vol. 60, U. Langer et al. eds, Springer-Verlag, Berlin, Heidelberg, pp. 33--44 (2008).
R. Lazarov, S. Repin, and S. Tomar, Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems, accepted in J. Numerical Methods for PDEs, (December 2007).
B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified hybridization of discontinuous Galerkin, mixed, and conforming methods for second-order elliptic problems sumitted to SINUM , (December 2007).

2007 Top Home

P. Chatzipantelidis, R. Lazarov, and V. Tomee, Parabolic finite volume element equations in nonconvex polygonal domains, ISC Technical Reports, ISC-07-08-MATH, Institute for Scientific Computation, submited to J. Numerical Methods for PDEs, (October 2007).
R.D. Lazarov and S.D. Margenov, CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems, Joural of Complexity , 23 (4-6) (2007), 498--515
R.D. Lazarov, S. Lu, and S.V. Pereverzev, On the balancing principle for some problems of numerical analysis, Numerische Mathematik , 106 (4) (2007), 659-689
O. Iliev, R. Lazarov, J. Willems, Numerical study of two-grid preconditioners for 1-D elliptic problems with highly oscillating discontinuous coefficients, Computational Methods in Applied Mathematics, 7 (1) (2007), 48-67

R.E. Ewing, O.P. Iliev, R.D. Lazarov, and A. Naumovich, On convergence of certain finite volume difference discretizations for 1-D poroelasticity interface problems, Numer. Methods for Partial Differential Equations, 23 (3) (2007), 652-671

R.D. Lazarov and X. Ye, Stabilized discontinuous finite element approximations for Stokes equations, J. Comput. Appl. Math., 198 (1) (2007), 236-252

K. Kachiashvili, D. Gordeziani, R. Lazarov and D. Melikdzhanian, Modeling and simulation of pollutants transport in rivers, Applied Mathematical Modelling, 31 (7) (2007) 1371-1396

2006 Top Home

P. Chatzipantelidis, R.D. Lazarov, V. Thomee, and L. Wahlbin, Parabolic finite element equations in convex polygonal domains, BIT Numerical Mathematics. 43 (Suppl. 1) 2006, S113-S143
V.A. Dobrev, R.D. Lazarov, P.S. Vassilevski, and L.T. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second order elliptic equations, Numer. Linear Algebra Appl., 13 (9) (2006), 753--770
C.C. Douglas, C. Harris, J., Iskandarani, M., Johnson, C.R., Lodder, R.J., Parker, S.G., Cole, M.J., Ewing, R., Efendiev, Y., Lazarov, R., Qin, G., Dynamic contaminant identification in water, ICCS 2006: Proc. 6-th International Conference, Part III, Lecture Notes in Computer Science, 3993, (2006), 393-400
A. Andreev, R. Lazarov, M. Racheva, Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenproblems, Lecture Notes in Computer Science, 3743 , (2006) 613-620
R. Sinha, R.E. Ewing, and R.D. Lazarov, Some new error estimates of a semidiscrete finite volume element method for parabolic integro-differential equation with nonsmooth initial data, SIAM J. Numer.Anal., 43 (6) (2006), 2320-2344.
C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, and R. Lazarov, Dynamic data driven simulations in stochastic environments, Computing, 77 (4) (2006), 321-332

2005 Top Home

R.D. Lazarov and L.T. Zikatanov, An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes, Technical Report ISC-04-15-MATH , Texas A& M University, Comput. Appl. Math., (Obchysljuval'na ta prykladna matematyka, Kiev) 1(92) , (2005), 60-69
A.B. Andreev, R.D. Lazarov, and M.R. Racheva, Postprocessing and Higher Order Convergence of Mixed Finite Element Approximations of Biharmonic Eigenvalue Problems, also as Technical Report ISC-04-04-MATH , Texas A& M University, J. Comput. Appl. Math., 182 (2) (2005), 333-349
C.C. Douglas, Y. Efendiev, R.E. Ewing, V. Ginting, R.D. Lazarov, M.J. Cole, G. Jones, Least-squares approach for data recovery in dynamic data-driven applications simulations, to appear in Journal of Computing and Visualization in Science , submitted November (2004)
C.C. Douglas, Y. Efendiev, R.E. Ewing, V. Ginting, R.D. Lazarov, M.J. Cole, G. Jones, and C.R. Johnson, Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation , ICCS 2005, V.S. Sunderam et al.(Eds), Lecture Notes in Computer Science , 3515, (2005), 640-647
P. Chatzipantelidis, V. Ginting, and R.D. Lazarov, A finite volume element method for nonlinear elliptic problems, Numer. Linear Algebra Appl., 12 (2005), 515-546 (also Technical Report ISC-04-06-MATH , (2004), Texas A& M University)
P. Chatzipantelidis and R.D. Lazarov, Error estimates for finite volume element method for elliptic PDE's in nonconvex polygonal domains, SIAM J. Numer.Anal. 42 (5) (2005) 1932 -- 1958 (also Technical Report ISC-03-04-MATH , (2003), Texas A& M University).
C. Carstensen, R.D. Lazarov, and S. Tomov, Explicit and averaging a posteriori error estimates for adaptive finite volume methods, SIAM J. Numer.Anal. 42 (6) (2005) 2496-2521

2004 Top Home

A. Kurganov, R. Lazarov, D. Levy, G. Petrova, and B. Popov, Eitan Tadmor - 50, Comput. Meth. Appl. Math., 4 (3) (2004), 265-270
P. Chatzipantelidis, R.D. Lazarov, and V. Thomee, Error estimates for the finite volume element method for parabolic equations in convex polygonal domains , Numer. Methods for Partial Diff. Equations, 20 (5) (2004), 650-674 also as Technical Report ISC-03-03-MATH , (2003), Texas A& M University)
Y. Efendiev, R.E. Ewing, V. Ginting, and R.D. Lazarov, Upscaling modeling in muliphase flow applications, J. Computational and Applied Mathematics, 23 (2-3) (2004) 213--233
R. Sinha and R. Lazarov, A new technique for error analysis of finite element approximations of parabolic problems with non-smooth initial data , Approximation Theory, A volume dedicated to B.Bojanov (D.K.Dimitrov, G. Nikolov, and R. Uluchev, Eds), Prof. M. Drinov Academic Publishing House, Sofia, 2004, pp. 296-308
C. C. Douglas, C. Shannon, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. R. Cole, G. Jones, C. R. Johnson, and J. Simpson, Using a virtual telemetry methodology for dynamic data driven application simulations, (to appear in Dynamic Data Driven Applications Systems, F. Darema (ed.), Kluwer, Amsterdam, 2004, 16 pp. PDF
C.C. Douglas, C.E. Shannon, Y. Efendiev, R.E. Ewing, V. Ginting, R.D. Lazarov, M.J. Cole, G. Jones, C.R. Johnson and J. Simpson, A Note on Data-Driven Contaminant Simulation , Computational Science - ICCS 2004, Lecture Notes in Computer Science, 3038, (2004), 701-708

2003 Top Home

C.C. Douglas, Y. Efendiev, R. Ewing, R.D. Lazarov, M.J. Cole, G. Jones, C.R. Johnson, Virtual telemetry for dynamic data-driven application simulations, Springer Lect. Notes in Comp. Sci., 2660 , (2003) 279-288.
R.D. Lazarov, J.E. Pasciak, J. Schoberl, and P.S. Vassilevski, Almost optimal interior penalty discontinuous approximation of symmetric elliptic problems on non-matching grids, Numerische Mathematik, 96 (2) , (2003) 295-315 (also as Technical Report ISC-02-06-MATH, Texas A& M University)
C. C. Douglas, M. R. Cole, Y. Efendiev, R. Ewing, V. Ginting, G. Jones, C. R. Johnson, R. Lazarov, C. Shannon, and J. Simpson, A note on dynamic data driven application simulation (DDDAS) using virtual telemetry, Proc. ICPACE 2003, J. Zou and X. Chi (eds.), Chinese University of Hong Kong, 2003, pp. 193-198. PostScript
R.D. Lazarov and S. Margenov, On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems , Springer Lecture Notes in Computer Science , 2542 , (2003) 192--204 (also as Technical Report ISC-02-06-MATH , Texas A& M University)
C.C. Douglas, Y. Efendiev, R.E. Ewing, R.D. Lazarov, M.R. Cole, C.R. Johnson, and G. Jones, Virtual telemetry middleware for DDD Application Simulations, P.M.A. Sllot et al, (Eds.), ICC 2003, Part 4, Springer Lecture Notes in Computer Science 2660 (2003), pp. 279-288.

2002 Top Home

V.A. Dobrev, R.E. Ewing, R.D. Lazarov, and J.E. Pasciak, Numerical study of the performance of preconditioners based on algebraic multigrid method and approximate sparse inverses, Technical Report ISC-02-07-MATH, Texas A& M University, 2002.
P. Chatzipantelidis and R.D. Lazarov, The finite volume element method in nonconvex domains, Finite Volumes for Complex Applications III, R. Herbin and D. Kroner, Eds, Hermes Penton Science, 2002, 171 - 178.
T.I. Chernogorova, R.E. Ewing, O.P. Iliev, and R.D. Lazarov, On finite volume discretzation of elliptic interface problem, Finite Volumes for Complex Applications III, R. Herbin and D. Kroner, Eds, Hermes Penton Science, 2002, 301 - 308.
R.D. Lazarov, Bramble-Hilbet lemma, In: Supplement 3 of the Encyclopaedia of Mathematics , Kluwer Academic Publishers, 2002, pp. 79 - 81.
R.D. Lazarov and P.S. Vassilevski, Numerical methods for convection-diffusion problems on general grids, Technical Report ISC-02-01-MATH, Texas A& M University, In: Approximation Theory: A volume dedicated to Blagovest Sendov, B. Bojanov (Ed.), Darba, Sofia, 2002, 258 - 283.
R.D. Lazarov and S.Z. Tomov, A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations, Comput. Geosciences, 6 (3-4) (2002) 483 - 503 (also as Technical Report ISC-00-02-MATH , Texas A& M University)

2001 Top Home

R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Iterative solution of a conbined mixed and standard Galerkin discretization method for elliptic problems, Numer. Linear Algebra Appl., 8 (2001), 13-31.
J.H. Bramble, R.D. Lazarov, and J.E. Pasciak, Least-squares methods for linear elasticity based on a discrete minus one inner product, Technical Report ISC-99-05-MATH, Texas A&M University , Computer Meth. Appl. Mech. Engrg., 191 (8-10) (2001), 727-744
R.D. Lazarov, S.Z. Tomov, and P.S. Vassilevski, Interior penalty discontinuous approximations of elliptic problems, Technical Report ISC-00-04-MATH, Texas A& M University Comput. Method Appl. Math., 1 (4) (2001), 367-382.
C. Kim, R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Multiplier spaces for the mortar finite element method in three dimensions, SIAM Numer. Anal. , 39 (2) (2001), 519-538.
R.E. Ewing, A. Ibragimov, and R.D. Lazarov, Domain decomposition algorithm and analytical simulation of coupled flow in reservoir/well system, J. KSIAM , 5 (2) (2001), 71--99.
R.D. Lazarov and S.Z. Tomov, Adaptive finite volume element method for convection-diffusion-reaction problems in 3-D, Scientific Computing and Application (Eds, P. Minev and Y. Lin) Advances in Computation: Theory and Practice, Nova Science Publishing House, 7 (2001), 91--106
R.E. Ewing, O. Iliev, and R.D. Lazarov, A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients, Technical Report, ISC-99-01-MATH, SIAM Sci. Comput., 23 (4) (2001), 1334-1350.

2000 Top Home

R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Mixed finite element methods for elliptic problems on non--matching grids, Notes on Numerical Fluid Mechanics, 73 (2000), 25-35.
R.E. Ewing, R.D. Lazarov, and Y. Lin, Finite volume element approximation of nonlocal reactive flows in porous media, Numer. Methods for Partial Diff. Equations, 16(3) (2000), 285-311.
T. Chernogorova, R.E. Ewing, O.P. Iliev, and R.D. Lazarov, On the discretization of interface problems with perfect and imperfect contact, Lecture Notes in Physics, Springer-Verlag, New York,552(2000), 93-103.
R.E. Ewing, R.D. Lazarov, T. Lin, and Y. Lin, Mortar finite volume element approximations of second order elliptic problems, East-West J. Numer. Math, 8(2), (2000), 93-110.
R.E. Ewing, R.D. Lazarov, and Y. Lin, Finite volume element approximations of non-local in time one-dimensional flows in porous media, Computing , 64 (2000), 157-182.
R.E. Ewing, A. Ibragimov, and R.D. Lazarov, 3-D simulation of the pressure drop along horizontal wells in a bounded reservoir, Proceedings of the Fourth Conference on Horizontal Well Technology, SPE, SPE65505 (2000) (CD-ROM/Internet publication).
R.D. Lazarov and P.S. Vassilevski, Least-squares streamline diffusion finite element approximations to singularly perturbed convection-diffusion problems, Analytical and Numerical Methods for Singularly Perturbed Problems, (L.G. Vulkov, J.J.H. Miller, and G.I. Shishkin, Eds.), Nova Science Publishing House, 2000, pp.83--94.
R.D. Lazarov, J.E. Pasciak, and S.Z. Tomov, Error control, local grid refinement, and efficient solution algorithms for singularly perturbed problems, Analytical and Numerical Methods for Singularly Perturbed Problems (L.G. Vulkov, J.J.H. Miller, and G.I. Shishkin, Eds.), Nova Science Publishing House, 2000, pp. 71--82.
R.D. Lazarov and S.Z. Tomov, Tool-box for parallel simulation of flows in porous media, Proc. Cross Discipline Ecosystem Modeling and Analysis Workshop, U.S. EPA, Research Triangle Park, 2000, pp. 27-28.

1999 Top Home

R.E. Ewing, R.D. Lazarov, S.L. Lyons, D.V. Papavassiliou, J.E. Pasciak, and G. Qin, Numerical well model for non-Darcy flow through isotropic porous media, Computational Geosciences, 3 (3,4) (1999), 185-204.
R.E. Ewing, R.D. Lazarov, T. Lin, and Y. Lin, Domain decomposition capabilities for the mortar finite volume element methods, Proceedings of the 11th International Conference on Domain Decomposition Methods (Choi-Hong Lai, Petter E. Bjorstad, Mark Cross, and Olof B. Widlund, Eds.), Bergen, Domain Decomposition Press, (1999), 220-227.
R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids, Finite Volumes for Complex Applications II. Problems and Perspectives, (R. Vilsmeier, F. Benkhaldoun, and D. Hanel Eds.), Hermes Science Publications, Paris, 1999, 51 - 68.
R.E. Ewing, R.D. Lazarov, and Y. Lin, Finite volume element approximations of integro-differential parabolic problems, Recent Adavances in Numerical Methods and Applications (O. Iliev, M. Kaschiev, S. Margenov, Bl. Sendov, P. Vassilevski, Eds.), World Scientific, 1999, 3--15.

1998 Top Home

J.H. Bramble, R.D. Lazarov, and J.E. Pasciak, Least-Squares for second order elliptic problems, Comp. Meth. Appl. Mech. Engng., 152 (1998), 195-210.
R.E. Ewing, R.D. Lazarov, and H. Chen, Superconvergence of the mixed finite element methods for parabolic problems with non-smooth initial data, Numerische Mathematik, 78 (1998), 495-521.

1997 Top Home

J.H. Bramble, R.D. Lazarov, and J.E. Pasciak, A least-squares approach based on a discrete minus one inner Product for first order systems, Math. Comp., 66, (1997), 935--955.
R.D. Lazarov, L. Tobiska, and P.S. Vassilevski, Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems, East-West J. Numer. Math. , 5, (1997), 249 -- 264.
H. Chen, R.E. Ewing, and R.D. Lazarov, Asymptotic error expansion for the lowest order Raviat-Thomas rectangular mixed finite elements, Technical Report, ISC-97-01-MATH, 1997, 1 -- 11.

1996 Top Home

Z. Chen, R.E. Ewing, Yu.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Multilevel preconditioners for mixed methods for second order elliptic problems, Numer. Lin. Alg. with Appl., 3(5) (1996), 427-453.
Z. Chen, R.E. Ewing, and R.D. Lazarov, Domain decomposition algorithms for mixed methods for second order elliptic problems, Math. Comp., 65(214) (1996), 467-490.
R.D. Lazarov and P.S. Vassilevski, Preconditioning saddle-point problems arising from mixed finite element discretizations of elliptic equations, Numer. Lin. Algebra Appl. , 3(1) (1996) 1-20.
R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite volume methods for convection-diffusion problems, SIAM J. Numer. Anal., 33(1) (1996) 31-55.
R.E. Ewing, R.D. Lazarov, J.E. Pasciak, and A.T. Vassilev, Mathematical modeling, Numerical Techniques, and Computer Simulation of flows and transport in porous media, Proc. Comput. Techniques and Applications: CTAC95, World Scientific, Singapore, 1996, 13-30.
H. Chen and R.D. Lazarov, Domain splitting algorithm for mixed finite element approximations to parabolic problems, East-West J. Numer. Math. , 4, (1996), 121-135.
R.D. Lazarov and I.D. Mishev, Finite volume methods for reaction-diffusion problems, Proc. First Intern. Symposium on Finite Volume Methods for Complex Applications (F. Benkhaldoun and R. Vilsmeier, Eds.), Hermes Publishers, 1996, pp. 233 - 240.

1995 Top Home

H. Chen and R.D. Lazarov, Error analysis of fully discrete mixed finite element approximations to parabolic problems, Technical Report ISC-95-06-MATH, Institute for Scientific Computation, Texas A&M University, 1995.
R.E. Ewing, R.D. Lazarov, J.E. Pasciak, and A.T. Vassilev, Computational techniques in multiphase flow and transport in porous media, Proceedings International Conference on Mathematics and Computations, Reactor Physics and Environmental Analysis, American Nuclear Society, (1995), 414-420.

1994 Top Home

H. Chen, R.E. Ewing, and R.D. Lazarov, Superconvergence of the mixed finite element approximations to parabolic equations, Advances in Numerical Methods and Applications O(h3) (I.T. Dimov, Bl. Sendov, and P.S. Vassilevski, eds.), World Scientific, Singapore, (1994), 63-69.
R.E. Ewing, Yu.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Preconditioning of nonconforming finite element approximations of second order elliptic problems, Advances in Numerical Methods and Applications O(h3) (I.T. Dimov, Bl. Sendov, and P.S. Vassilevski, Eds.), World Scientific, Singapore, (1994), 101-110.
R.E. Ewing, Yu.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Substructuring preconditioning for finite element approximations of second order elliptic problems, I. Nonconforming linear elements for the Poisson equation in a parallelepiped, IMA Preprint #1280, University of Minnesota, Minneapolis, (1994).
R.E. Ewing and R.D. Lazarov, Approximation of parabolic problems on grids locally refined in time and space, Applied Numerical Mathematics, 14 (1994), 199-211.
R.E. Ewing, R.D. Lazarov, and A.T. Vassilev, Finite difference scheme for parabolic problems on composite grids with refinement in time and space, SIAM J. Numer. Anal., 31(6) (1994), 1605-1622.
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Local refinement techniques for elliptic problems on cell-centered grids, II: Optimal order two-grid iterative methods, Numer. Linear Algebra Appl., 1(4) (1994), 337-368.
S.G. Carey, R.D. Lazarov, and A.I. Pehlivanov, Least-squares mixed finite elements for second order elliptic problems, SIAM J. Numer. Anal., 31 (5) (1994), 1368-1377. MR#95i:65206.
Z. Cai, R.D. Lazarov, T.A. Manteuffel, and S.F. McCormick, First order systems least-squares for partial differential equations: I. Discretization, SIAM J. Numer. Anal., 31 (6) (1994), 1785-1799. MR# 95f:65133.
S. Maliassov, Yu.A. Kuznetsov, R.D. Lazarov, and R.E. Ewing, Substructure preconditioning for porous flow problems, Finite Element Modeling for Environmental Problems, Chapter 17, John Wiley and Sons, New York, (1994), 303-329.
P.S. Vassilevski, S.I. Petrova, and R.D. Lazarov, Preconditioning elliptic problems on grids with multilevel local refinemnet, Mathematica Balkanica, 8 (2-3) (1994), 179-196.
R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite volume approximation of convection-diffusion problems on grids with local refinement, Computing , 53 (1) (1994) 33-57.
A. Andreev, M. Apostolova, P. Binev, B. Boyanov, T. Boyanov, S. Dimova, D. Dryanov, A. Iotova, G. Nikolov, R. Lazarov, M. Nikolcheva, M. Petkov, and T. Chernogorova, Collection of Problems on Numerical Analysis, Sofia University Publ. House, Sofia, 1994 (Bulgarian) .

1993 Top Home

R.E. Ewing and R.D. Lazarov, Superconvergence of the mixed finite element approximations of parabolic problems using rectangular finite elements, East-West J. Numer. Math., 1(3) (1993), 199-212.
A.I. Pehlivanov, G.F. Carey, R.D. Lazarov, and Y. Shen, Convergence analysis of the least-square mixed finite elements, Computing , 51 (1993), 111-123. MR# 95b:65096.
R.E. Ewing, R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Domain decomposition type iterative techniques for parabolic problems on locally refined grids, SIAM J. Num. Anal. 30(6) (1993), 1537-1557.

1992 Top Home

A.I. Pehlivanov, G.F. Carey, S.S. Show, and R.D. Lazarov, Superconvergence analysis of the approximate boundary-flux calculations, Numerische Mathematik, 63 (1992), 483-501.
P.S. Vassilevski, R.D. Lazarov, and S.I. Petrova, Finite difference schemes on triangular cell-centered grids with local refinement, SIAM J. Statistical and Scientific Computation, 13(6) (1992), 1287-1313.
R.E. Ewing, R.D. Lazarov, and A.T. Vassilev, Adaptive techniques for time-dependent problems, Comp. Meth. Appl. Mech. Engng. 101(3) (1992), 113-126.

1991 Top Home

S.S. Chow, G.F. Carey, and R.D. Lazarov, Natural and postprocessed superconvergence in semi-linear problems, Numer. Methods for Partial Diff. Equations, 7(4) (1991), 245-259.
R.D. Lazarov and A.I. Pehlivanov, Local superconvergence analysis of 3-D linear finite elements for boundary flux-calculations, The Mathematics of Finite Elements and Applications VII, MAFELAP 1990 (J.R.Whiteman ed.), Academic Press, 1991, 65-74 .
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis, Math. Comp., 56(194) (1991), 437-462.
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners, Numerische Mathematik, 59 (1991), 431-452.
R.E. Ewing, R.D. Lazarov, and J. Wang, Superconvergence of the velocity along the Gauss lines in the mixed finite element methods, SIAM J. Numer. Anal., 28(4) (1991), 1015-1029.
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Finite difference schemes on grids with local refinement in time and space for parabolic problems, II. Optimal order two-grid iterative methods, Lecture Notes in Fluid Mechanics, Vieweg Publishers, 31 (1991), 70-93.
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Mixed finite element solutions of second order elliptic problems on grids with regular local refinement, Domain Decomposition Methods for Partial Differential Equations (R. Glowinski, Y. Kuznetsov, G. Meurant, J. Periaux, and O. Widlund, Eds.), SIAM Publishers, Philadelphia, PA, (1991), 206-212.
V.M. Petkov and R.D. Lazarov, Eds., Integral Equations and Inverse Problems, Pitman Research Notes in Mathematics Series, 235 (1991), Longman Scientific & Technical, 285 p.

1990 Top Home

R.E. Ewing, R.D. Lazarov, P. Lu, and P.S. Vassilevski, Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems, Preconditioned Conjugate Gradient Methods (O. Axelsson and L. Kolotilina, eds.), Lecture Notes in Mathematics, 1457 (1990) Springer- Verlag, Berlin, 28-43.
R.E. Ewing, R.D. Lazarov, T.F. Russell, and P.S. Vassilevski, Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas Elements, Domain Decomposition Methods for Partial Differential Equations (T.F. Chan, R. Glowinski, J. Periaux, and O. Widlund, Eds.), SIAM Publications, Philadelphia, Pennsylvania, (1990), 98-114.
R.D. Lazarov, Local superconvergence analysis of the approximate boundary-flux calculations. Proc. of EQUADIFF'6 Conference, Teubner-texte zur Mathematik, 118 (1990) Leipzig, 275-278.
R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski, Finite difference schemes on grids with local refinement in time and space for parabolic problems, I. Derivation, stability, and error analysis, Computing 45 (1990) 193-215.

1989 Top Home

N. Andreev, S. Dimova, R. Lazarov, V. Manolov, Tz. Rashev, and Bl. Sendov, Mathematical modelling of some heat transfer processes in the steel casting industry, Proc. of Int. Conf. on High Nitrogen Steels, Varna, 1989, 178-184.
R.D. Lazarov and V.G. Pasheva, Boundary element method for 2-D problems of ideal fluid flows with free boundaries, Adv. Water Resources, 12 (1989), 37-45.
S.S. Chow and R.D. Lazarov, Superconvergence analysis of flux computations for nonlinear two-point boundary value problems, Bull. Austr. Math. Soc., 40 (1989), 465-480, Zb#676.65096.
R.E. Ewing and R.D. Lazarov, Local refinement techniques in the finite element and finite difference methods, Numerical Methods and Applications, Publishing House of the Bulgarian Acad. Sci. , Sofia, Bulgaria, 1989, 148-159.

1988 Top Home

R.E. Ewing and R.D. Lazarov, Adaptive local grid refinement, SPE No. 17806, Proceedings of 1988 Rocky Mountain Regional Meeting of SPE, Casper, Wyoming, May 1988, 643-652; Proc. Fourth Wyoming Enhanced Oil Recovery Symposium, Casper, Wyoming, (1988) 87-102.
R.D. Lazarov, Superconvergence of the gradient for triangular and tetrahedral finite elements for solving linear problems of elasticity, Comput. Meth. and Systems, Nauka, Moscow, 6 (1988) 143-153 (Russian), Zb#694.73023.
A.B. Andreev and R.D. Lazarov, Lumped mass finite element method for parabolic and eigenvalue problems, Mathematika Balkanica, New Series, 2(1) (1988), 84-92, Zb#000.65108.
A.B. Andreev and R.D. Lazarov, Superconvergence of the gradient for quadratic triangular finite elements, Numer. Methods for Partial Diff. Equations, 4(1) (1988), 15-32, Zb#644.65082.
K.N. Godev, R.D. Lazarov, V.L. Makarov, and A.A. Samarskii, Homogeneous difference schemes for one dimensional problems with generalized solutions, Math. USSR Sbornik, 59(1) (1988), 155-179, MR#88h:65145, Zb#621.65094.
P.S. Vassilevski, R.D.Lazarov, and S.D. Margenov, Solving elliptic problems by the domain decomposition method using preconditioning matrices by multilevel splitting of the finite element matrix, Lecture Notes in Computer Science, 297 (1988), 826-835, MR#89b:65270.

1987 Top Home

A.A. Samarskii, R.D. Lazarov and V.L. Makarov, Difference Schemes for Differential Equations Having Generalized Solutions, Visshaya Shkola Publ., Moscow, 1987, 296 pp.
R.D. Lazarov and P. Peykov, Modelling and investigation by simulation of semiconductor pressure sensors, Bulg. J. Physics, 14(6) (1987), 530-541.
K.N. Godev and R.D. Lazarov, Truncated finite difference schemes for second boundary value problems for ordinary differential equations, Proc. Conference on Diff. Equations'85, Russe, Bulgaria, 1987, 675-682, MR#88k:65070.

1986 Top Home

V. Kantchev and R.D. Lazarov, Superconvergence of the gradient of linear finite elements for 3-D Poisson equation, Optimal Algorithms, Sofia, 1986, 172-182, Zb#672.65088.
N. Andreev, I. Dimov, S.N. Dimova, R.D. Lazarov, V. Manolov, Bl. Sendov, Numerical simulation of some technology problems in metallurgy, Math. Models Analytic and Numer. Methods in Heat Transfer, 2 (1986), Acad. Sci. Belorus.SSR, 106-114.
S.N. Dimova and R.D. Lazarov, Study of some physical processes by means of the numerical experiment, Summer School of Computer Applications in Science, Varna, 1986, 25-36.

1985 Top Home

S.N. Dimova, A.I. Jotova and R.D. Lazarov, Finite element package TERMO for solving heat problems, Numer. Meth. and Packages for Solving Problems of Math. Phys., Comput. Center Acad. Sci. USSR, Novosibirsk, 1985, 31-41.
R.D. Lazarov and P.I. Shopov, A package for solving Stokes equations using finite elements with condensation, Proc. of Conf. on Numer. Meth. and Appl.'84, Sofia, 1985, 552-558.
K.N. Godev and R.D. Lazarov, Convergence of difference schemes for elliptic problems with variable coefficients, Proc. Conf. on Numer. Meth. and Appl.'84, Sofia, 1985, 308-313.
A. Andreev, B. Boyanov, S. Dimova, R. Lazarov, and M. Nikolcheva, Collection of Problems on Numerical Analysis, Nauka i Izkustvo Publ. House, Sofia, 1985 (Bulgarian)
K.N. Godev and R.D. Lazarov, On the convergence of the difference scheme for the second boundary value problem for the biharmonic equation with solution from W^m, Math. Models in Phys. Chem. and Numerical Methods of Their Realization, Teubner-texte zur Math., 61 (1985), 130-141, MR#87b:65175, Zb #542.65054.

1984 Top Home

S.N. Dimova, N.T. Drenska, and R.D. Lazarov, Mathematical modelling of heat transfer in ingot cristalization, Comput. Math., Banach Center Publ., 13 (1984), 73-90 (Russian).
R.D. Lazarov, V.L. Makarov, and W. Weinelt, On the convergence of difference schemes for the approximation of solutions u from W^m (m>0.5) of elliptic equations with mixed derivatives, Numer. Math., 44 (1984), 223-232, MR #86f:65181,Zb #525.65069.
A.B. Andreev, M.El Hatri, and R.D. Lazarov, Superconvergence of the gradient in the finite element method for some elliptic and parabolic problems, Variational-Difference Methods, Moscow, 1984, 13-25, Zb#605.65069.
K.N. Godev and R.D. Lazarov, Error estimates of finite difference schemes in L_p-metrics for parabolic boundary value problems, Comptes Rend. l'Acad. Bulg. Sci., 37 (1984), 565-568, Zb #567.65069, MR#86e:65137.
R.D. Lazarov, W. Weinelt, and U. Streit, On the convergence order of difference schemes for weak solutions of the heat equation, Diff. Equations, 20(7) (1984) (Russian), MR #86b:65105, Zb # 554. 65068.

1983 Top Home

N. Andreev, I. Dimov, S. Dimova, R. Lazarov. V. Manolov, T. Rashev, Mathematical modelling of crystalization of steel blocks, Trudy Inst. of Metallurgy, 14(1) (1983), 93-102 (Bulgarian).
R.D. Lazarov, On the numerical solution of some axially-symmetric elastic problems by finite difference method, Diff. Equations, 19(3) (1983), 500-507 (Russian), MR #84f:65076, Zb#534.73066.
R.D. Lazarov and Yu.I. Mokin, On the computation of the logarithmic potential, Soviet Math. Dokl., 28 (1983), 320-323, MR #86d:31008, Zb #567.65070.
R.D. Lazarov, V.L. Makarov, and W. Weinelt, On the convergence of difference schemes for elliptic equations with mixed derivatives and generalized solutions, Diff. Equations, 19(7) (1983), 838-843, MR #85a:65153, Zb #547.65069.
I. Gavriliuk, R.D. Lazarov, and V.L. Makarov, Error estimates for difference schemes for the second boundary value problem of biharmonic equation with minimal requirements of smoothness, Dop. Acad. Sci. Ukrain. SSR, ser. A, 2 (1983), 6-9, MR #85j:65039 Zb #541.65063.
R.D. Lazarov, V.L. Makarov, and A.A. Samarskii, Application of exact difference schemes to the construction and study of difference schemes for generalized solutions, Math. USSR Sbornik, 45(4) (1983), 461-171, MR #84g:65137, Zb #512.65068.
I. Gavriliuk, R.D. Lazarov, V.L. Makarov, and S. Pirnazarov, Estimates of the rate of convergence of difference schemes for fourth order elliptic equations, USSR J. Comput. Math. and Math. Physics, 23(2) (1983), 64-70, MR #85g:65115, Zb#541.65064.

1982 Top Home

R.D. Lazarov and V.L. Makarov, Difference schemes of second order accuracy for the axially symmetric Poisson equation on generalized solutions, Soviet Math. Dokl., 25 (1982), 15-19, MR #83h:65114, Zb#488.65041.
S.N. Dimova and R.D. Lazarov, Numerical methods for some heat problems, Cisl. Modeli, Analit. i Cisl. Metodi v Teorii Perenosa, (A.Samarskii, Ed.), Minsk, ITMO (1982), 55-73.
R.D. Lazarov, On the convergence of the finite difference schemes for Poisson equation in discrete H^1-norms, p=2, Wiss. Beitr. IH Wismar, 7 (1982), 86-90.
R.D. Lazarov, Error estimates of the finite difference schemes for parabolic problems on generalized solutions, Comptes Rend. l'Acad. Bulg. Sci., 35(1) (1982), 7-10 (Russian), MR #84a:65081 Zb #524.65067.
R.D. Lazarov, Convergence of difference method for parabolic equations with generalized solutions, Pliska, 5 (1982), 51-59 (Russian), MR #84m:65105, Zb #563.65063.

1981 Top Home

N. Andreev, I. Dimov, S. Dimova, R. Lazarov. V. Manolov, T. Rashev, Mathematical modelling of heat conduction in ingot casting of stainless steel, Metallurgy, 36 (1981),3-5.
K.T. Georgiev and R.D. Lazarov, An error estimate for the decomposed finite element solution of the polyharmonic equation, Mathematics - Revue d'Analyse Numerique et de Theorie d'Approximation, 23 (1981), 31-34, MR#83g:65106, Zb #477.57015.
R.D. Lazarov, On the convergence of the difference schemes for Poisson equation with generalized solutions, Diff. Equations, 17 (7) (1981), 829-836, MR #83f:65169, Zb #485.65067.
R.D. Lazarov, Convergence of finite difference schemes on generalized solutions of the biharmonic equation on a rectangle, Diff. Equations, 17 (7) (1981), 836-842, MR #83h:65116, Zb #485.65068.
R.D. Lazarov, Error estimate for the finite difference schemes for generalized solutions of the first boundary value axially symmetric elastic problems, Methods of Appr. and Interpolation, (Yu. Kuznetsov, Ed.), Acad. Sci. of USSR, Novosibirsk, 1981, 89-101, MR#87b:65175.
P.G. Gospodinov, R.D. Lazarov, and S.P. Radev, Numerical treatment of some problems of fluid flow and instability of liquid jets, Meth. und Verfahren der Math. Physik, Proc. Conf. on Math. in Fluid Mechanics, Obervolfach (1981), Zb #562.76042.
R.D. Lazarov and V.L. Makarov, Convergence of the difference methods and the methods of lines for multidimensional problems in classes of generalized solutions, Soviet Math. Dokl., 23 (1981), 69-73, MR #83a:35004, Zb #485.65069.
R.D. Lazarov, On the convergence of the difference schemes for some axisymmetric problems of mathematical physics in classes of generalized solutions, Soviet Math. Dokl., 23 (1981), 667-670 MR#83h: 65115, Zb #524.65065.
R.D. Lazarov and V.L. Makarov, Difference schemes of second order of accuracy for the axisymmetric Poisson equation with generalized solutions, USSR J. Comput. Math. and Math. Phys, 21(5) (1981), 95-107, MR #84b:65100, Zb #485.65066.
R.D. Lazarov and Yu.I. Mokin, On the convergence of the difference schemes for Poisson equation in L_p-metrics, Soviet Math. Dokl., 24 (1981), 590-594, MR #83d:65272, Zb #524.65066.

1980 Top Home

R.D. Lazarov and E.A. Varbanova, Difference schemes for 1-D coupled dynamic problems of thermoelasticity, Ann. VUZ, Appl. Math., 16 (4) (1980), 167-178, (Russian), MR # 83d:73080a, Zb# 497.73004.
R.D. Lazarov, On the convergence of the difference schemes for axially symmetric problems of elasticity, Comm. JINR, Dubna, P11-80-884 (1980), 1-22 (Russian).
N. Andreev, I. Dimov, S. Dimova, R. Lazarov. V. Manolov, and T. Rashev, Mathematical models of cristalization of block of nitrogen steel, casted in cylindrical forms, Material Sci. and Technology, 9 (1980), 63-68 (Bulgarian).
R.D. Lazarov and E.A. Varbanova, Numerical solution of a coupled problem of elasticity, Ann. VUZ, Appl. Math., 16(4) (1980), 179-191 (Bulgarian), MR # 83d:73080b, Zb# 497.73005.
R.D. Lazarov and E.A. Varbanova, Self similar solutions of the coupled thermoelasticity, Comm. JINR, Dubna, P5-80-886 (1980) (Russian).

1979 Top Home

R.D. Lazarov, Factorized finite difference schemes of second order accuracy for solving dynamic problems of elasticity, Comptes Rend. de l'Acad. Bulg. Sci., 32 (1979), 1, 7-10 (Russian), Zb # 432.73079 MR# 80f:65133.
K. Ganev and R.D. Lazarov, An application of the splitting method for solving some problems of mesometeorology, Bulgarian Geophysical J., 5 (1979), 11-21 (Russian).
R.D. Lazarov and G. Meladze, Factorized schemes for the dynamic problems of elastic vibrations of an unbounded strip, Trudy Tbilissi State University, 207 (1979), 14-26 (Russian), Zb # 462.73038.
M.S. Kaschiev and R.D. Lazarov, Numerical solution of the two-dimensional Schrodinger equation corresponding to a two-center problem, Comm. JINR, Dubna, P11-12307 (1979).
R.D. Lazarov and S.D. Margenov, An application of parabolic and cubic splines to solution of fourth order elliptic boundary value problems on a rectangle, Preprint N 64, Seminar on Methods of Comput. and Appl. Mathematics, Siberian Branch Acad. Sci. of USSR, 1979 (Russian).

1978 Top Home

R.D. Lazarov, V. Liubenov, and S. Pasheva, Problems with free lines, Proc. National School of Young Scientists, VMEI, Sofia, 1978, pp. 53--63.

1977 Top Home

R.D. Lazarov, Numerical methods for the problems of physics, mechanics and technique using computers, Rutherford Laboratory, Didcot, UK, Final Report, 1977.

1976 Top Home

R.D. Lazarov and P. Panayotov, Solving an axially-symmetric elastic problem by projection difference method, Ann. VUZ, Applied Mathematics, 12 (2) (1976) (Bulgarian), Zb# 432.73080.
P.G. Gospodinov, G. Saev, and R.D. Lazarov, Computing transient temperature fields by the finite element method, Mashinostroenie, 1 (1976), 23-26 (Bulgarian).
R.D. Lazarov and L.G. Stoyanov, Difference schemes for mixed boundary value problems of elasticity on triangular grids, Comm. VMEI Gabrovo, 8 (1976), 53-62 (Bulgarian).
R.D. Lazarov, Difference schemes of second order accuracy for the axisymmetric problems of elasticity in a cylinder, Comptes Rend. de l'Acad. Bulg. Sci., 29 (1976), 21-24 (Russian), Zb# 366.73011.
R.D. Lazarov and V.M. Petkov, Economical difference scheme for a mixed boundary value problem of Neuman type for hyperbolic equations of second order, Math. and Math. Education, Proc. Third Conf. Union Bulgarian Mathematicians, 1976, 209-215 (Bulgarian), Zb # 355.65075.
R.D. Lazarov and E.A. Varbanova Difference scheme for a mixed elastic problem in an orthotropic cylinder, Proc. Sec. Nat. Congress Theoretical and Appl. Mech., Varna, 2 (1976), 235-243 (Russian).
R.D. Lazarov and G. Meladze, On the application of difference schemes for solving the problem of a vibrating elastic strip, Bull. Acad. Sci. Georgian SSR, 83 (1976), 17-21 (Russian).

1975 Top Home

R.D. Lazarov, E.P. Zhidkov, M.S. Kaschiev, Computing three-dimensional electrostatic fields for rectangular electrodes, Comm. JINR, Dubna, 9-9181 (1975) (Russian).
Chr. Butzev, A.H. Hachikian, and R.D. Lazarov, On calculation of axially-symmetric electric fields, Ann. Ecole Superieur de Mines et de Geologie, 21 (1) (1975), 133-140 (Bulgarian).
R.D. Lazarov, Difference schemes for solving problems of elastic equilibrium of isotropic cylinder, Cisl. Analys, Inst. of Cybern. of Ukrain. Acad. of Sciences, 1975, 3-19 (Russian).
R.D. Lazarov, Some methods of discretization of problems of mathematical physics, Proc. National School on Application of Computers in Engineering, Primorsko, 1975, 195-208 Bulgarian)
R.D. Lazarov, A factorized scheme for an axially-symmetric dynamic problem of elasticity, Ann. VIZ, Appl. Mathematics, 11 (2) (1975), 103-112 (Russian), Zb# 395.73076.
R.D. Lazarov and M.S. Kaschiev, Numerical solution to some 3-D electrostatic problems, modelling accelerating cameras, Math. and Math. Education, Proc. Fourth Conf. Union Bulgarian Mathematicians, 1975, 221-226 (Bulgarian).

1974 Top Home

R.D. Lazarov and E.A. Varbanova, Numerical solution to mixed boundary value problems of elasticity in orthotropic cylinders, Ann. VUZ, Appl. Math., 10 (4) (1974), XXX (Bulgarian), Zb# 343.73011.

1973 Top Home

R.D. Lazarov, Difference schemes for problems of elasticity in domains with curvilinear boundaries. II. Error estimate. Numerical experiments, Theoretical and Appl. Mech., 4 (2) (1973), 133-124 (Russian).
R.D. Lazarov, Difference methods and their application to the problems of elasticity, Math. and Math. Education, Proc. Second Conf. Union Bulgarian Math., 1973, 143-150 (Russian), Zb # 366.73011.
R.D. Lazarov and Yu.I. Mokin, On the stability of elliptic difference schemes, USSR J. Comput. Math. and Math. Physics, 13 (2) (1973), 282-291 (Russian), Zb # 432.73079.
R.D. Lazarov and Yu.I. Mokin, Stability of elliptic difference schemes in Lp-metrics, Issl. Teorii Raznostn. Schem Ellipt. Parabol. Uravn., Moscow State Univ. Publishers (1973), 40-88 (Russian).

1972 Top Home

R.D. Lazarov, Difference schemes for problems of elasticity in domains with curvilinear boundaries. I. Construction of the difference scheme. A priori estimate, Theoretical and Appl. Mech., 2 (4) (1972), 19-30 (Russian).

1971 Top Home

R.D. Lazarov, Difference schemes for the second boundary value problem of elasticity for domains with curved boundaries, USSR J. Comp. Math. and Math. Physics, 11(4) (1971), 166-179.
R.D. Lazarov, Variational-difference schemes for axisymmetric problems of elasticity, Seminar Inst. Appl. Math., Georgian State Univ., 5 (1971), 77-83 (Russian).

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Please send comments, questions, and requests for reprints to lazarov@math.tamu.edu