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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

Textual criticism and canon. some problems

Journal:

Studia Theologica

Year:

1986

Language:

english

File:

PDF, 531 KB

english, 1986

6

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

7

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

8

Classroom Note:Calculation of Weights in Finite Difference Formulas

Fornberg, Bengt

Journal:

Year:

1998

Language:

english

File:

PDF, 270 KB

english, 1998

9

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

10

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

E. Larsson, B. Fornberg

Journal:

Computers & Mathematics with Applications

Year:

2003

Language:

english

File:

PDF, 846 KB

english, 2003

11

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

12

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

13

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

14

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

15

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

16

Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

E. Larsson, B. Fornberg

Journal:

Computers & Mathematics with Applications

Year:

2005

Language:

english

File:

PDF, 1.75 MB

english, 2005

17

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

18

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

19

The impact of a nonideal return path on differential signal integrity

Fornberg, P.E., Kanda, M., Lasek, C., Piket-May, M., Hall, S.H.

Journal:

IEEE Transactions on Electromagnetic Compatibility

Year:

2002

Language:

english

File:

PDF, 470 KB

english, 2002

20

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

21

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

22

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

23

A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

B. Fornberg and G. B. Whitham

Journal:

Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences (1934-1990)

Year:

1978

Language:

english

File:

PDF, 5.53 MB

english, 1978

24

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

25

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

26

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

27

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

28

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

29

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

30

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

31

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

32

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

33

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

34

A numerical study of 2-D turbulence

Journal:

Journal of Computational Physics

Year:

1977

Language:

english

File:

PDF, 1.67 MB

english, 1977

35

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

36

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

37

A new class of oscillatory radial basis functions

B. Fornberg, E. Larsson, G. Wright

Journal:

Computers & Mathematics with Applications

Year:

2006

Language:

english

File:

PDF, 716 KB

english, 2006

38

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

39

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

40

Interpolation in the limit of increasingly flat radial basis functions

T.A. Driscoll, B. Fornberg

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 726 KB

english, 2002

41

Observations on the behavior of radial basis function approximations near boundaries

B. Fornberg, T.A. Driscoll, G. Wright, R. Charles

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 1.37 MB

english, 2002

42

Some observations regarding interpolants in the limit of flat radial basis functions

B. Fornberg, G. Wright, E. Larsson

Journal:

Computers & Mathematics with Applications

Year:

2004

Language:

english

File:

PDF, 1.55 MB

english, 2004

43

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

B. Fornberg, G. Wright

Journal:

Computers & Mathematics with Applications

Year:

2004

Language:

english

File:

PDF, 908 KB

english, 2004

44

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

45

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

46

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

47

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

48

Calculations of laminar viscous flow over a moving wavy surface

Caponi, E. A., Fornberg, B., Knight, D. D., McLean, J. W., Saffman, P. G., Yuen, H. C.

Journal:

Journal of Fluid Mechanics

Year:

1982

Language:

english

File:

PDF, 274 KB

english, 1982

49

Flow past a Row of Flat Plates at Large Reynolds Numbers

Natarajan, R., Fornberg, B., Acrivos, A.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

1993

Language:

english

File:

PDF, 754 KB

english, 1993

50

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