World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
9020
World Ranking
1036
National Ranking
481

Engineering and Technology

D-Index
51
Citations
9001
World Ranking
3902
National Ranking
1134

Overview

Raytcho Lazarov was affiliated with Texas A&M University in the United States. Their research spanned multiple disciplines, primarily focusing on mathematics, engineering, and computer science. Within these fields, their work concentrated on computational theory and mathematics, numerical analysis, applied mathematics, mechanics of materials, and computational mechanics.

Their main topics of research included advanced mathematical modeling in engineering, differential equations and numerical methods, differential equations and boundary problems, composite material mechanics, advanced numerical methods in computational mathematics, fractional differential equations solutions, and numerical methods in inverse problems.

The scientist contributed to several publication venues, with notable activity in the following:

  • Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)
  • Journal of Computational Physics
  • Fractional Calculus and Applied Analysis
  • Computational Methods in Applied Mathematics
  • arXiv (Cornell University)

Their recent papers included:

  • "Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation," 2020, Journal of Computational Physics
  • "An efficient approach for upscaling properties of composite materials with high contrast of coefficients," 2022, Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)
  • "A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems," 2020, Fractional Calculus and Applied Analysis
  • "A Graph-Laplacian approach for calculating the effective thermal conductivity of complicated fiber geometries," 2022, Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)
  • "On two-level preconditioners for flow in porous media," 2022, Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology)

The scientist frequently collaborated with other researchers including:

  • Stanislav Harizanov
  • Svetozar Margenov
  • Oleg Iliev
  • Iryna Rybak
  • J. Willems

Best Publications

  • Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

    Bernardo Cockburn;Jayadeep Gopalakrishnan;Raytcho Lazarov

  • First-order system least squares for second-order partial differential equations: part I

    Z. Cai;R. Lazarov;T. A. Manteuffel;S. F. McCormick

  • An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

    Bangti Jin;Raytcho Lazarov;Zhi Zhou

  • Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

    Bangti Jin;Raytcho D. Lazarov;Zhi Zhou

  • Finite volume methods for convection-diffusion problems

    R. D. Lazarov;Ilya D. Mishev;P. S. Vassilevski

  • Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

    Bangti Jin;Raytcho D. Lazarov;Zhi Zhou

  • The Galerkin finite element method for a multi-term time-fractional diffusion equation

    Bangti Jin;Raytcho Lazarov;Yikan Liu;Zhi Zhou

  • Least-squares mixed finite elements for second-order elliptic problems

    A. I. Pehlivanov;G. F. Carey;R. D. Lazarov

  • A least-squares approach based on a discrete minus one inner product for first order systems

    James H. Bramble;Raytcho D. Lazarov;Joseph E. Pasciak

  • Superconvergence of the velocity along the Gauss lines in mixed finite element methods

    R. E. Ewing;R. D. Lazarov;J. Wang

  • Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview

    Bangti Jin;Raytcho Lazarov;Zhi Zhou

  • Finite volume element approximations of nonlocal reactive flows in porous media

    Richard Ewing;Raytcho Lazarov;Yanping Lin

  • Variational formulation of problems involving fractional order differential operators

    Bangti Jin;Bangti Jin;Raytcho D. Lazarov;Joseph E. Pasciak;William Rundell

  • Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis

    R. E. Ewing;R. D. Lazarov;P. S. Vassilevski

  • Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms

    Yalchin Efendiev;Juan Galvis;Raytcho Lazarov;Joerg Willems

  • An analysis of the Rayleigh---Stokes problem for a generalized second-grade fluid

    Emilia Bazhlekova;Bangti Jin;Raytcho Lazarov;Zhi Zhou

  • Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

    Chisup Kim;Raytcho D. Lazarov;Joseph E. Pasciak

  • Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion

    Bangti Jin;Raytcho Lazarov;Joseph Pasciak;Zhi Zhou

  • Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

    P Chatzipantelidis;R. D. Lazarov;Vidar Thomee

  • Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

    Bangti Jin;Raytcho D. Lazarov;Joseph E. Pasciak;Zhi Zhou

  • NUMERICAL STUDY OF TWO-GRID PRECONDITIONERS FOR 1-D ELLIPTIC PROBLEMS WITH HIGHLY OSCILLATING DISCONTINUOUS COEFFICIENTS

    O. Iliev;R. Lazarov;J. Willems

  • Higher-order finite element methods.

    Raytcho D. Lazarov

Frequent Co-Authors

Richard E. Ewing
Richard E. Ewing Texas A&M University
Bangti Jin
Bangti Jin Chinese University of Hong Kong
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
Zhi Zhou
Zhi Zhou Hong Kong Polytechnic University
Yalchin Efendiev
Yalchin Efendiev Texas A&M University
Panayot S. Vassilevski
Panayot S. Vassilevski Lawrence Livermore National Laboratory
Chris R. Johnson
Chris R. Johnson University of Utah
Vidar Thomée
Vidar Thomée Chalmers University of Technology
Stanimire Tomov
Stanimire Tomov University of Tennessee at Knoxville
Graham F. Carey
Graham F. Carey The University of Texas at Austin

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, complementary online degrees can enhance career prospects across various industries. Many professionals turn to finance due to its strong quantitative focus. Exploring online masters in finance programs offers an affordable path to advanced financial expertise, which is highly valued in banking, investment, and corporate sectors.

Business skills paired with math knowledge open doors to leadership roles. Accelerated options such as the fastest mba online programs help students quickly gain an MBA credential, ideal for those eager to fast-track their career advancement.

Marketing is another growing field where analytical skills are crucial. Pursuing a masters in digital marketing can equip math graduates with data-driven marketing techniques, enhancing opportunities in digital strategy and analytics.

Additionally, the one year mba programs combine efficiency with comprehensive business training, making them attractive for math professionals aiming to refine management skills without a lengthy time commitment.

Best Scientists Citing Raytcho Lazarov

Recently Published Articles