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.
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