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- Bengt Fornberg

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
56
Citations
16,776
160
World Ranking
520
National Ranking
275

2014 - SIAM Fellow For advances in spectral methods, radial basis functions, and other methods for computational fluid dynamics and partial differential equations.

1981 - Fellow of John Simon Guggenheim Memorial Foundation

- 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.

- 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)

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.

- Mathematical analysis (48.80%)
- Finite difference (24.10%)
- Applied mathematics (18.07%)

- Applied mathematics (18.07%)
- Finite difference (24.10%)
- Mathematical analysis (48.80%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A practical guide to pseudospectral methods

Bengt Fornberg.

**(1996)**

2345 Citations

Generation of finite difference formulas on arbitrarily spaced grids

Bengt Fornberg.

Mathematics of Computation **(1988)**

1084 Citations

A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

B. Fornberg;Gerald Beresford Whitham.

Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences **(1978)**

1072 Citations

A numerical study of steady viscous flow past a circular cylinder

Bengt Fornberg.

Journal of Fluid Mechanics **(1980)**

888 Citations

The pseudospectral method: Comparisons with finite differences for the elastic wave equation

Bengt Fornberg.

Geophysics **(1987)**

562 Citations

A numerical study of some radial basis function based solution methods for elliptic PDEs

Elisabeth Larsson;Bengt Fornberg.

Computers & Mathematics With Applications **(2003)**

451 Citations

Stable computation of multiquadric interpolants for all values of the shape parameter

B. Fornberg;G. Wright.

Computers & Mathematics With Applications **(2004)**

437 Citations

Classroom Note: Calculation of Weights in Finite Difference Formulas

Bengt Fornberg.

Siam Review **(1998)**

423 Citations

Interpolation in the limit of increasingly flat radial basis functions

T.A. Driscoll;B. Fornberg.

Computers & Mathematics With Applications **(2002)**

403 Citations

Stable Computations with Gaussian Radial Basis Functions

Bengt Fornberg;Elisabeth Larsson;Natasha Flyer.

SIAM Journal on Scientific Computing **(2011)**

402 Citations

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