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 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
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.
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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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)
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)
Finite volume methods for convection-diffusion problems
R. D. Lazarov;Ilya D. Mishev;P. S. Vassilevski.
SIAM Journal on Numerical Analysis (1996)
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)
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)
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)
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)
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)
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)
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)
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Texas A&M University
Profile was last updated on December 6th, 2021.
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