What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
The scientist’s investigation covers issues in Mathematical analysis, Finite difference method, Interpolation, Finite difference and Basis function.
His work on Limit, Pseudo-spectral method and Wave equation as part of general Mathematical analysis research is frequently linked to Shape parameter and Node, thereby connecting diverse disciplines of science.
The Finite difference method study combines topics in areas such as Weight function, Computer simulation, Recurrence formula, Navier–Stokes equations and Finite difference coefficient.
His Interpolation research integrates issues from Algorithm, Numerical analysis and Polygon mesh.
His work deals with themes such as Pseudospectral optimal control, Legendre pseudospectral method, Order of accuracy and Spectral method, which intersect with Finite difference.
Bengt Fornberg has researched Pseudospectral optimal control in several fields, including Computational physics, Computational science, Gauss pseudospectral method, Orthogonal functions and Polar.
His most cited work include:
- A practical guide to pseudospectral methods (1302 citations)
- A numerical study of steady viscous flow past a circular cylinder (544 citations)
- Generation of finite difference formulas on arbitrarily spaced grids (535 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Mathematical analysis, Finite difference, Applied mathematics, Algorithm and Finite difference method.
His study in Interpolation, Numerical analysis, Pseudo-spectral method, Partial differential equation and Differential equation falls under the purview of Mathematical analysis.
His Finite difference study also includes
- Wave equation which intersects with area such as Fourier transform,
- Order of accuracy, which have a strong connection to Extrapolation.
His work carried out in the field of Applied mathematics brings together such families of science as Grid, Geometry, Computation and Analytic function.
His Algorithm research includes themes of Mathematical optimization and Complex plane.
His Finite difference method study integrates concerns from other disciplines, such as Boundary and Computer simulation.
He most often published in these fields:
- Mathematical analysis (48.80%)
- Finite difference (24.10%)
- Applied mathematics (18.07%)
What were the highlights of his more recent work (between 2015-2021)?
- Applied mathematics (18.07%)
- Finite difference (24.10%)
- Mathematical analysis (48.80%)
In recent papers he was focusing on the following fields of study:
Bengt Fornberg mainly focuses on Applied mathematics, Finite difference, Mathematical analysis, Analytic function and Node.
His Applied mathematics research incorporates themes from Function and Field.
His Finite difference study combines topics from a wide range of disciplines, such as Basis, Pure mathematics, Hermite polynomials, Special case and Polyharmonic spline.
His Basis research is multidisciplinary, incorporating perspectives in Wave equation, Numerical analysis, Classification of discontinuities and Domain.
His studies deal with areas such as Mesh free and Computation as well as Mathematical analysis.
His research on Analytic function also deals with topics like
- Grid which connect with Periodic function, Line and Interval,
- Complex plane together with Algorithm and Wave propagation.
Between 2015 and 2021, his most popular works were:
- On the role of polynomials in RBF-FD approximations (115 citations)
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (104 citations)
- Stable computations with flat radial basis functions using vector-valued rational approximations (37 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
Bengt Fornberg mainly investigates Finite difference, Mathematical analysis, Basis, Polyharmonic spline and Domain.
Bengt Fornberg combines subjects such as Computation and Scaling with his study of Mathematical analysis.
His study looks at the relationship between Basis and fields such as Numerical analysis, as well as how they intersect with chemical problems.
His study focuses on the intersection of Polyharmonic spline and fields such as Runge's phenomenon with connections in the field of Range, Boundary and Minification.
His Domain research is multidisciplinary, relying on both Rate of convergence, Helmholtz free energy, Applied mathematics and Regular polygon.
His biological study spans a wide range of topics, including Algorithm, Laplace transform, Classification of discontinuities and Collocation.
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