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1

A review of pseudospectral methods for solving partial differential equations

Fornberg, Bengt, Sloan, David M.

Journal:

Year:

1994

Language:

english

File:

PDF, 3.05 MB

english, 1994

2

Solving PDEs with radial basis functions

Fornberg, Bengt, Flyer, Natasha

Journal:

Year:

2015

Language:

english

File:

PDF, 2.19 MB

english, 2015

3

Steady viscous flow past a sphere at high Reynolds numbers

Fornberg, Bengt

Journal:

Journal of Fluid Mechanics

Year:

1988

Language:

english

File:

PDF, 411 KB

english, 1988

4

A Pseudospectral Approach for Polar and Spherical Geometries

Fornberg, Bengt

Journal:

SIAM Journal on Scientific Computing

Year:

1995

Language:

english

File:

PDF, 1.18 MB

english, 1995

5

Generation of Finite Difference Formulas on Arbitrarily Spaced Grids

Fornberg, Bengt

Journal:

Mathematics of Computation

Year:

1988

Language:

english

File:

PDF, 207 KB

english, 1988

6

A numerical study of steady viscous flow past a circular cylinder

Fornberg, Bengt

Journal:

Journal of Fluid Mechanics

Year:

1980

Language:

english

File:

PDF, 664 KB

english, 1980

7

Classroom Note:Calculation of Weights in Finite Difference Formulas

Fornberg, Bengt

Journal:

Year:

1998

Language:

english

File:

PDF, 270 KB

english, 1998

8

Steady viscous flow past a circular cylinder up to reynolds number 600

Journal:

Journal of Computational Physics

Year:

1985

Language:

english

File:

PDF, 1.19 MB

english, 1985

9

Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions

Larsson, Elisabeth, Lehto, Erik, Heryudono, Alfa, Fornberg, Bengt

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 903 KB

english, 2013

10

Fast calculation of Laurent expansions for matrix inverses

Fornberg, Bengt

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 533 KB

english, 2016

11

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

Bayona, Victor, Flyer, Natasha, Fornberg, Bengt, Barnett, Gregory A.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 2.90 MB

english, 2017

12

A practical guide to pseudospectral methods || Comparisons of computational cost for FD and PS methods

Fornberg, Bengt

Year:

1996

Language:

english

File:

PDF, 560 KB

english, 1996

13

A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations

Ming Li, Tao Tang, Bengt Fornberg

Journal:

International Journal for Numerical Methods in Fluids

Year:

1995

Language:

english

File:

PDF, 681 KB

english, 1995

14

Numerical solutions to 2D Maxwell–Bloch equations

Jingyi Xiong, Max Colice, Friso Schlottau, Kelvin Wagner, Bengt Fornberg

Journal:

Optical and Quantum Electronics

Year:

2008

Language:

english

File:

PDF, 284 KB

english, 2008

15

Scattered node compact finite difference-type formulas generated from radial basis functions

Grady B. Wright, Bengt Fornberg

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 608 KB

english, 2006

16

A Numerical Method for Conformal Mappings

Fornberg, Bengt

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1980

Language:

english

File:

PDF, 1.40 MB

english, 1980

17

High-Order Finite Differences and the Pseudospectral Method on Staggered Grids

Fornberg, Bengt

Journal:

SIAM Journal on Numerical Analysis

Year:

1990

Language:

english

File:

PDF, 1.17 MB

english, 1990

18

Stable Computations with Gaussian Radial Basis Functions

Fornberg, Bengt, Larsson, Elisabeth, Flyer, Natasha

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 1.30 MB

english, 2011

19

On spherical harmonics based numerical quadrature over the surface of a sphere

Fornberg, Bengt, Martel, Jordan M.

Journal:

Advances in Computational Mathematics

Year:

2014

Language:

english

File:

PDF, 2.30 MB

english, 2014

20

Some steady axisymmetric vortex flows past a sphere

ELCRAT, ALAN, FORNBERG, BENGT, MILLER, KENNETH

Journal:

Journal of Fluid Mechanics

Year:

2001

Language:

english

File:

PDF, 486 KB

english, 2001

21

A Primer on Radial Basis Functions with Applications to the Geosciences || Back Matter

Fornberg, Bengt, Flyer, Natasha

Year:

2015

Language:

english

File:

PDF, 318 KB

english, 2015

22

Some steady vortex flows past a circular cylinder

ELCRAT, ALAN, FORNBERG, BENGT, HORN, MARK, MILLER, KENNETH

Journal:

Journal of Fluid Mechanics

Year:

2000

Language:

english

File:

PDF, 460 KB

english, 2000

23

Numerical Quadrature over the Surface of a Sphere

Reeger, Jonah A., Fornberg, Bengt

Journal:

Studies in Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 1.24 MB

english, 2015

24

Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces

Martin, Bradley, Fornberg, Bengt

Journal:

Engineering Analysis with Boundary Elements

Year:

2017

Language:

english

File:

PDF, 2.09 MB

english, 2017

25

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries

Bayona, Víctor, Flyer, Natasha, Fornberg, Bengt

Journal:

Journal of Computational Physics

Year:

2019

Language:

english

File:

PDF, 5.33 MB

english, 2019

26

Complex Variables and Analytic Functions: An Illustrated Introduction (Complex Variables and Analytic Functions: An Illustrated Introduction) || Chapter 1: Complex Numbers

Fornberg, Bengt, Piret, CÃ©cile

Year:

2019

Language:

english

File:

PDF, 1.84 MB

english, 2019

27

A Block Pseudospectral Method for Maxwell's Equations: I. One-Dimensional Case

Tobin A. Driscoll, Bengt Fornberg

Journal:

Journal of Computational Physics

Year:

1998

Language:

english

File:

PDF, 338 KB

english, 1998

28

Note on Nonsymmetric Finite Differences for Maxwell's Equations

Tobin A. Driscoll, Bengt Fornberg

Journal:

Journal of Computational Physics

Year:

2000

Language:

english

File:

PDF, 45 KB

english, 2000

29

A numerical study of 2-D turbulence

Journal:

Journal of Computational Physics

Year:

1977

Language:

english

File:

PDF, 1.67 MB

english, 1977

30

Some unconditionally stable time stepping methods for the 3D Maxwell's equations

Jongwoo Lee, Bengt Fornberg

Journal:

Journal of Computational and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 377 KB

english, 2004

31

A finite difference method for free boundary problems

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 4.29 MB

english, 2010

32

On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere

Bengt Fornberg, Cécile Piret

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 1.37 MB

english, 2008

33

Stabilization of RBF-generated finite difference methods for convective PDEs

Bengt Fornberg, Erik Lehto

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 1.81 MB

english, 2011

34

A Numerical Method for Conformal Mapping of Doubly Connected Regions

Fornberg, Bengt

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1984

Language:

english

File:

PDF, 1.26 MB

english, 1984

35

A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems

Fornberg, Bengt

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 2.07 MB

english, 2006

36

A Stable Algorithm for Flat Radial Basis Functions on a Sphere

Fornberg, Bengt, Piret, Cécile

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 935 KB

english, 2008

37

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations

Fornberg, Bengt, Flyer, Natasha

Journal:

SIAM Journal on Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 3.08 MB

english, 2004

38

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

Fornberg, Bengt

Journal:

The Leading Edge

Year:

1987

Language:

english

File:

PDF, 488 KB

english, 1987

39

Painlevé IV: A numerical study of the fundamental domain and beyond

Reeger, Jonah A., Fornberg, Bengt

Journal:

Physica D: Nonlinear Phenomena

Year:

2014

Language:

english

File:

PDF, 2.18 MB

english, 2014

40

Flow past a Row of Flat Plates at Large Reynolds Numbers

Ramesh Natarajan, Bengt Fornberg and Andreas Acrivos

Journal:

Proceedings of the Royal Society Mathematical and Physical Sciences (1990-1995)

Year:

1993

Language:

english

File:

PDF, 692 KB

english, 1993

41

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations

Natasha Flyer and Bengt Fornberg

Journal:

SIAM Journal on Applied Mathematics

Year:

2003-2004

Language:

english

File:

PDF, 2.99 MB

english, 2003-2004

42

On a Fourier Method for the Integration of Hyperbolic Equations

Journal:

SIAM Journal on Numerical Analysis

Year:

1975

Language:

english

File:

PDF, 1.24 MB

english, 1975

43

Calculation of Weights in Finite Difference Formulas

Journal:

Year:

1998

Language:

english

File:

PDF, 591 KB

english, 1998

44

A spectrally accurate numerical implementation of the Fokas transform method for Helmholtz-type PDEs

Davis, Christopher-Ian Raphaël, Fornberg, Bengt

Journal:

Complex Variables and Elliptic Equations

Year:

2014

Language:

english

File:

PDF, 856 KB

english, 2014

45

Steady axisymmetric vortex flows with swirl and shear

ELCRAT, ALAN R., FORNBERG, BENGT, MILLER, KENNETH G.

Journal:

Journal of Fluid Mechanics

Year:

2008

Language:

english

File:

PDF, 1.46 MB

english, 2008

46

A computational overview of the solution space of the imaginary Painlevé II equation

Fornberg, Bengt, Weideman, J.A.C.

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 3.63 MB

english, 2015

47

Seismic modeling with radial basis function-generated finite differences (RBF-FD) – a simplified treatment of interfaces

Martin, Bradley, Fornberg, Bengt

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 1.11 MB

english, 2017

48

Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces

Fasondini, Marco, Fornberg, Bengt, Weideman, J.A.C.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 7.49 MB

english, 2017

49

A computational exploration of the McCoy–Tracy–Wu solutions of the third Painlevé equation

Fasondini, Marco, Fornberg, Bengt, Weideman, J.A.C.

Journal:

Physica D: Nonlinear Phenomena

Year:

2017

Language:

english

File:

PDF, 7.60 MB

english, 2017

50

Dynamics of topological solitons, knotted streamlines, and transport of cargo in liquid crystals

Sohn, Hayley R. O., Ackerman, Paul J., Boyle, Timothy J., Sheetah, Ghadah H., Fornberg, Bengt, Smalyukh, Ivan I.

Journal:

Physical Review E

Year:

2018

Language:

english

File:

PDF, 11.35 MB

english, 2018