What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Partial differential equation
- Algebra
His scientific interests lie mostly in Mathematical analysis, Finite element method, Boundary value problem, Partial differential equation and Iterative method.
The various areas that Joseph E. Pasciak examines in his Mathematical analysis study include Linear function, Saddle point and Projection.
His Finite element method research incorporates themes from Polygon mesh, Linear form, Piecewise linear function, Discretization and Unit interval.
His Boundary value problem research includes elements of Differential operator, Eigenvalues and eigenvectors, Fractional calculus, Space and Numerical analysis.
His Partial differential equation study combines topics from a wide range of disciplines, such as Dirichlet problem and Differential equation.
His work deals with themes such as Elliptic curve, Boundary and Conjugate gradient method, which intersect with Iterative method.
His most cited work include:
- Computer solution of large sparse positive definite systems (1452 citations)
- Parallel multilevel preconditioners (533 citations)
- The construction of preconditioners for elliptic problems by substructuring. I (528 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, Boundary value problem, Applied mathematics and Multigrid method.
Mathematical analysis connects with themes related to Iterative method in his study.
His studies deal with areas such as Elliptic curve and Conjugate gradient method as well as Iterative method.
He combines subjects such as Discretization, Fractional calculus, Preconditioner and Sinc function with his study of Finite element method.
His Boundary value problem research is multidisciplinary, incorporating elements of Boundary and Bounded function.
His study looks at the relationship between Applied mathematics and topics such as Positive-definite matrix, which overlap with Elliptic operator and Hilbert space.
He most often published in these fields:
- Mathematical analysis (63.57%)
- Finite element method (39.53%)
- Boundary value problem (27.13%)
What were the highlights of his more recent work (between 2014-2020)?
- Finite element method (39.53%)
- Mathematical analysis (63.57%)
- Sinc function (6.20%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Finite element method, Mathematical analysis, Sinc function, Applied mathematics and Numerical analysis.
He has included themes like Fractional calculus, Boundary value problem and Bilinear form in his Finite element method study.
The concepts of his Boundary value problem study are interwoven with issues in Polygon mesh, Galerkin method, Domain and Regular polygon.
His Mathematical analysis study frequently involves adjacent topics like Sesquilinear form.
His Applied mathematics study incorporates themes from Numerical approximation and Calculus.
His Numerical analysis research integrates issues from Positive-definite matrix, Elliptic operator, Pure mathematics, Finite difference and Eigenvalues and eigenvectors.
Between 2014 and 2020, his most popular works were:
- Numerical approximation of fractional powers of elliptic operators (136 citations)
- Variational formulation of problems involving fractional order differential operators (126 citations)
- Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion (97 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Partial differential equation
Joseph E. Pasciak mostly deals with Finite element method, Sinc function, Applied mathematics, Hilbert space and Space.
His biological study spans a wide range of topics, including Numerical analysis, Mathematical analysis, Bounded function and Boundary value problem.
His Bounded function study integrates concerns from other disciplines, such as Polygon mesh, Galerkin method, Dirichlet boundary condition, Regular polygon and Domain.
His Applied mathematics research includes themes of Stiffness matrix, Elliptic partial differential equation and Bilinear form.
His work carried out in the field of Hilbert space brings together such families of science as Sobolev space, Product, Positive-definite matrix and Sesquilinear form.
Joseph E. Pasciak has researched Space in several fields, including Fractional calculus, Differential operator, Eigenvalues and eigenvectors and Unit interval.
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