Bengt Fornberg

Computational Mechanics · 2002–2017

A researcher in the Science corpus: 13 papers; trusts 22 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 33 citations into it; #481 of 10,001 by trust here, #865 by citations
• Mechanics of Materials — 32 citations into it; #173 of 6,291 by trust here, #577 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #5,757 of 10,127 by trust here, #5,625 by citations
• Electrical and Electronic Engineering — 8 citations into it; #675 of 16,539 by trust here, #7,062 by citations
• Numerical Analysis — 7 citations into it; #992 of 3,586 by trust here, #2,644 by citations
• Atomic and Molecular Physics, and Optics — 6 citations into it; #2,925 of 7,135 by trust here, #5,903 by citations

Whom Bengt Fornberg trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Tobin A. Driscoll
2. A. S. Fokas
3. Elisabeth Larsson
4. Robert Schaback
5. Lloyd N. Trefethen
6. Gregory E. Fasshauer
7. Natasha Flyer
8. Chi-Wang Shu
9. Charles A. Micchelli
10. Per-Olof Persson

Who trusts Bengt Fornberg overall

1. Natasha Flyer
2. Gregory E. Fasshauer
3. Robert Schaback
4. Chi-Wang Shu
5. Alexander H. D. Cheng
6. Victor Bayona
7. Grady Barrett Wright
8. Jack G. Zhang
9. Gabriele Santin
10. C. Huang

Papers from Bengt Fornberg's perspective

Ordered by how strongly the researchers Bengt Fornberg trusts endorse each paper. Same corpus, a different order for every researcher.

1. Interpolation of scattered data: Distance matrices and conditionally positive definite functions
2. A numerical study of some radial basis function based solution methods for elliptic PDEs
3. Multivariate Interpolation by Polynomials and Radial Basis Functions
4. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations
5. Interpolation in the limit of increasingly flat radial basis functions
6. A Unified Approach To Boundary Value Problems
7. A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line (Proceedings of the Royal Society A)
8. Stable Computations with Gaussian Radial Basis Functions (SIAM Journal on Scientific Computing)
9. A point interpolation meshless method based on radial basis functions
10. Metric spaces and completely monotone functions

Their papers

• Interpolation in the limit of increasingly flat radial basis functions (2002) — 361 citations
• A split step approach for the 3-D Maxwell's equations (2003) — 201 citations
• Scattered node compact finite difference-type formulas generated from radial basis functions (2006) — 396 citations
• On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017) — 308 citations
• On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy (2016) — 299 citations
• A primer on radial basis functions with applications to the geosciences (2015) — 310 citations
• Solving PDEs with radial basis functions * (2015) — 307 citations
• Seismic modeling with radial-basis-function-generated finite differences (2015) — 48 citations
• Stable Computations with Gaussian Radial Basis Functions (2011) — 439 citations
• A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain (2011) — 53 citations
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation (2007) — 386 citations
• Stable Computation of Multiquadric Interpolants for All Values of the Shape Parameter (2004) — 202 citations
• A numerical study of some radial basis function based solution methods for elliptic PDEs (2003) — 411 citations