D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 41 Citations 7,195 136 World Ranking 956 National Ranking 446
Engineering and Technology D-index 36 Citations 6,410 114 World Ranking 3206 National Ranking 1250

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

Raytcho D. Lazarov spends much of his time researching Mathematical analysis, Finite element method, Boundary value problem, Discontinuous Galerkin method and Elliptic curve. The Mathematical analysis study combines topics in areas such as Type and Finite volume method. The various areas that Raytcho D. Lazarov examines in his Finite element method study include Piecewise linear function and Fractional calculus, Applied mathematics.

His Fractional calculus research incorporates elements of Space and Numerical analysis. His studies in Boundary value problem integrate themes in fields like Discretization, Bounded function and Eigenvalues and eigenvectors. His research in Elliptic curve intersects with topics in Multigrid method and Partial differential equation.

His most cited work include:

  • Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems (794 citations)
  • First-order system least squares for second-order partial differential equations: part I (316 citations)
  • Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations (184 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Mathematical analysis, Finite element method, Applied mathematics, Boundary value problem and Numerical analysis. He has included themes like Finite volume method and Discontinuous Galerkin method in his Mathematical analysis study. Raytcho D. Lazarov has researched Finite element method in several fields, including Piecewise linear function, Fractional calculus and Eigenvalues and eigenvectors.

His Applied mathematics research integrates issues from Domain decomposition methods, Preconditioner, Multigrid method, Mathematical optimization and Order. In his research on the topic of Boundary value problem, Diffusion equation is strongly related with Bounded function. His research on Numerical analysis also deals with topics like

  • Elliptic operator, which have a strong connection to Order and Positive-definite matrix,
  • Finite difference together with Finite difference method and Algebraic equation.

He most often published in these fields:

  • Mathematical analysis (54.49%)
  • Finite element method (50.56%)
  • Applied mathematics (24.16%)

What were the highlights of his more recent work (between 2015-2020)?

  • Finite element method (50.56%)
  • Numerical analysis (21.91%)
  • Mathematical analysis (54.49%)

In recent papers he was focusing on the following fields of study:

Raytcho D. Lazarov mainly focuses on Finite element method, Numerical analysis, Mathematical analysis, Applied mathematics and Elliptic operator. His study in Finite element method is interdisciplinary in nature, drawing from both Fractional calculus and Schur complement. His biological study spans a wide range of topics, including Discretization and Calculus.

His Mathematical analysis research is multidisciplinary, incorporating perspectives in Mixed finite element method and Constant. He has included themes like Convolution, Eigenvalues and eigenvectors and Discontinuous Galerkin method in his Applied mathematics study. His Boundary value problem research includes elements of Cauchy problem, Piecewise linear function and Elliptic curve.

Between 2015 and 2020, his most popular works were:

  • Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data (157 citations)
  • Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview (65 citations)
  • Optimal solvers for linear systems with fractional powers of sparse SPD matrices (38 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Geometry

Raytcho D. Lazarov mostly deals with Finite element method, Applied mathematics, Boundary value problem, Piecewise linear function and Galerkin method. The various areas that he examines in his Finite element method study include Multilevel methods and Mathematical analysis. He is interested in Linear system, which is a branch of Mathematical analysis.

His work in Applied mathematics addresses issues such as Convolution, which are connected to fields such as Inverse problem and Optimal control. His work in Boundary value problem tackles topics such as Backward Euler method which are related to areas like Space, Norm, Laplace transform and Diffusion wave. His research integrates issues of Delaunay triangulation, Mixed finite element method, Heat equation and Extended finite element method in his study of Galerkin method.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

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

Bernardo Cockburn;Jayadeep Gopalakrishnan;Raytcho Lazarov.
SIAM Journal on Numerical Analysis (2009)

967 Citations

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

Z. Cai;R. Lazarov;T. A. Manteuffel;S. F. McCormick.
SIAM Journal on Numerical Analysis (1994)

429 Citations

Finite volume methods for convection-diffusion problems

R. D. Lazarov;Ilya D. Mishev;P. S. Vassilevski.
SIAM Journal on Numerical Analysis (1996)

286 Citations

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

A. I. Pehlivanov;G. F. Carey;R. D. Lazarov.
SIAM Journal on Numerical Analysis (1994)

240 Citations

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

Bangti Jin;Raytcho D. Lazarov;Zhi Zhou.
SIAM Journal on Numerical Analysis (2013)

230 Citations

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.
Mathematics of Computation (1997)

221 Citations

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

R. E. Ewing;R. D. Lazarov;J. Wang.
SIAM Journal on Numerical Analysis (1991)

201 Citations

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

Bangti Jin;Raytcho Lazarov;Yikan Liu;Zhi Zhou.
Journal of Computational Physics (2015)

190 Citations

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

Bangti Jin;Raytcho D. Lazarov;Zhi Zhou.
SIAM Journal on Scientific Computing (2016)

189 Citations

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

Bangti Jin;Raytcho Lazarov;Zhi Zhou.
Ima Journal of Numerical Analysis (2015)

184 Citations

Best Scientists Citing Raytcho Lazarov

Bernardo Cockburn

Bernardo Cockburn

University of Minnesota

Publications: 69

Yalchin Efendiev

Yalchin Efendiev

Texas A&M University

Publications: 64

Eric T. Chung

Eric T. Chung

Chinese University of Hong Kong

Publications: 50

Thomas A. Manteuffel

Thomas A. Manteuffel

University of Colorado Boulder

Publications: 45

Richard E. Ewing

Richard E. Ewing

Texas A&M University

Publications: 37

Jaime Peraire

Jaime Peraire

MIT

Publications: 35

Zhangxin Chen

Zhangxin Chen

University of Calgary

Publications: 33

Zhimin Zhang

Zhimin Zhang

Wayne State University

Publications: 29

Fawang Liu

Fawang Liu

Queensland University of Technology

Publications: 27

Zhiqiang Cai

Zhiqiang Cai

Purdue University West Lafayette

Publications: 25

Alexandre Ern

Alexandre Ern

École Normale Supérieure

Publications: 24

Antonio Huerta

Antonio Huerta

Universitat Politècnica de Catalunya

Publications: 24

Barbara Wohlmuth

Barbara Wohlmuth

Technical University of Munich

Publications: 23

Bangti Jin

Bangti Jin

University College London

Publications: 22

Mary F. Wheeler

Mary F. Wheeler

The University of Texas at Austin

Publications: 22

Max D. Gunzburger

Max D. Gunzburger

Florida State University

Publications: 20

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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