What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Algebra
Vidar Thomée focuses on Mathematical analysis, Finite element method, Discretization, Galerkin method and Discontinuous Galerkin method.
Partial differential equation, Parabolic partial differential equation, Initial value problem, Heat equation and Singular kernel are the primary areas of interest in his Mathematical analysis study.
His Finite element method research includes themes of Differential equation, Numerical analysis, Type and Sobolev space.
His Discretization research is multidisciplinary, relying on both Laplace transform, Piecewise linear function, Line integral, Nyström method and Methods of contour integration.
His work deals with themes such as Superconvergence, Finite difference, Boundary value problem and Evolution equation, which intersect with Galerkin method.
His Discontinuous Galerkin method study combines topics from a wide range of disciplines, such as Numerical methods for ordinary differential equations, Numerical partial differential equations and Alternating direction implicit method.
His most cited work include:
- Galerkin Finite Element Methods for Parabolic Problems (1770 citations)
- Partial Differential Equations with Numerical Methods (209 citations)
- Time discretization of parabolic problems by the discontinuous Galerkin method (166 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Finite element method, Applied mathematics, Galerkin method and Discretization.
His Mathematical analysis and Boundary value problem, Partial differential equation, Parabolic partial differential equation, Numerical analysis and Heat equation investigations all form part of his Mathematical analysis research activities.
His Parabolic cylinder function study in the realm of Parabolic partial differential equation interacts with subjects such as Homogeneous differential equation.
His work carried out in the field of Finite element method brings together such families of science as Piecewise linear function, Norm and Backward Euler method.
His Galerkin method research is multidisciplinary, incorporating elements of Type, Order and Piecewise.
His studies deal with areas such as Space, Iterative method, Laplace transform and Hilbert space as well as Discretization.
He most often published in these fields:
- Mathematical analysis (68.63%)
- Finite element method (35.95%)
- Applied mathematics (23.53%)
What were the highlights of his more recent work (between 2005-2020)?
- Mathematical analysis (68.63%)
- Finite element method (35.95%)
- Applied mathematics (23.53%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Mathematical analysis, Finite element method, Applied mathematics, Heat equation and Discretization.
He merges Mathematical analysis with Gauss–Kronrod quadrature formula in his study.
The various areas that Vidar Thomée examines in his Finite element method study include Parabolic partial differential equation, Partial differential equation and Backward Euler method.
His Heat equation research incorporates elements of Delaunay triangulation, Galerkin method, Dirichlet boundary condition, Robin boundary condition and Piecewise.
His Galerkin method study integrates concerns from other disciplines, such as Piecewise linear function and Calculus.
His research integrates issues of Modified Richardson iteration, Laplace transform, Iterative method, Conjugate gradient method and Space in his study of Discretization.
Between 2005 and 2020, his most popular works were:
- Numerical solution via Laplace transforms of a fractional order evolution equation (78 citations)
- Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation (48 citations)
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type (45 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Partial differential equation
- Algebra
His primary areas of investigation include Finite element method, Mathematical analysis, Heat equation, Discretization and Dirichlet boundary condition.
His Finite element method research incorporates themes from Parabolic partial differential equation and Applied mathematics.
He is interested in Partial differential equation, which is a field of Mathematical analysis.
His work is dedicated to discovering how Heat equation, Boundary value problem are connected with Domain, Piecewise linear function and Initial value problem and other disciplines.
Vidar Thomée combines subjects such as Numerical integration and Laplace transform with his study of Discretization.
His biological study deals with issues like Finite volume method, which deal with fields such as Counterexample, Order, Piecewise and Finite volume method for one-dimensional steady state diffusion.
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