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- Raytcho Lazarov

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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

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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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