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51

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

52

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

53

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

54

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

55

Calculation of Weights in Finite Difference Formulas

Journal:

Year:

1998

Language:

english

File:

PDF, 591 KB

english, 1998

56

A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

Fornberg, B., Whitham, G. B.

Journal:

Philosophical Transactions Mathematical Physical & Engineering Sciences

Year:

1978

Language:

english

File:

PDF, 5.51 MB

english, 1978

57

[IEEE 2002 International Symposium on Electromagnetic Compatibility - Minneapolis, MN, USA (19-23 Aug. 2002)] IEEE International Symposium on Electromagnetic Compatibility - Induced currents on an EUT in a free-space and a modified TEM cell environment

Fornberg, P.E., Holloway, C.L., Wilson, P.F.

Year:

2002

Language:

english

File:

PDF, 288 KB

english, 2002

58

[IEEE 2008 IEEE International Symposium on Electromagnetic Compatibility - EMC 2008 - Detroit, MI (2008.08.18-2008.08.22)] 2008 IEEE International Symposium on Electromagnetic Compatibility - Method and applications of oscilloscope waveform de-embedding

Xiaoning Ye,, Smith, Ben, Fornberg, Per, Norman, Adam

Year:

2008

Language:

english

File:

PDF, 496 KB

english, 2008

59

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

60

[IEEE 2000 International Symposium on Electromagnetic Compatibility (EMC 2000) - Washington, DC, USA (21-25 Aug. 2000)] IEEE International Symposium on Electromagnetic Compatibility. Symposium Record (Cat. No.00CH37016) - FDTD modeling of printed circuit board signal integrity and radiation

Fornberg, P.E., Byers, A., Piket-May, M., Holloway, C.L.

Year:

2000

Language:

english

File:

PDF, 507 KB

english, 2000

61

Evolution of solitary waves in a two-pycnocline system

NITSCHE, M., WEIDMAN, P. D., GRIMSHAW, R., GHRIST, M., FORNBERG, B.

Journal:

Journal of Fluid Mechanics

Year:

2010

Language:

english

File:

PDF, 1.22 MB

english, 2010

62

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

63

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

64

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

65

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

66

Some observations regarding steady laminar flows past bluff bodies

Fornberg, B., Elcrat, A. R.

Journal:

Philosophical Transactions Mathematical Physical & Engineering Sciences

Year:

2014

Language:

english

File:

PDF, 1.38 MB

english, 2014

67

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

68

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

69

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains

Colbrook, Matthew J., Flyer, Natasha, Fornberg, Bengt

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 6.65 MB

english, 2018

70

Steady vortex flows obtained from a nonlinear eigenvalue problem

Elcrat, Alan, Fornberg, Bengt, Miller, Kenneth, Giovannini, André, Cottet, Georges-Henri, Gagnon, Yves, F., Ahmed, Meiburg, Eckart

Journal:

ESAIM Proceedings

Year:

1999

Language:

english

File:

PDF, 429 KB

english, 1999

71

Explicit Time Stepping of PDEs with Local Refinement in Space-Time

Abrahamsen, Dylan, Fornberg, Bengt

Journal:

Journal of Scientific Computing

Year:

2019

Language:

english

File:

PDF, 1.78 MB

english, 2019

72

Complex Variables and Analytic Functions: An Illustrated Introduction (Complex Variables and Analytic Functions: An Illustrated Introduction) || Chapter 2: Functions of a Complex Variable

Fornberg, Bengt, Piret, CÃ©cile

Year:

2019

Language:

english

File:

PDF, 54.35 MB

english, 2019

73

An algorithm for calculating Hermite-based finite difference weights

Fornberg, Bengt

Journal:

IMA Journal of Numerical Analysis

Year:

2020

File:

PDF, 447 KB

2020

74

EulerâMaclaurin expansions without analytic derivatives

Fornberg, Bengt

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2020

File:

PDF, 440 KB

2020

75

A New Numerical Algorithm for the Analytic Continuation of Green's Functions

Vincent D. Natoli, Morrel H. Cohen, Bengt Fornberg

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 318 KB

english, 1996

76

A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion

Bengt Fornberg, Tobin A. Driscoll

Journal:

Journal of Computational Physics

Year:

1999

Language:

english

File:

PDF, 264 KB

english, 1999

77

An improved pseudospectral method for initial-boundary value problems

Journal:

Journal of Computational Physics

Year:

1990

Language:

english

File:

PDF, 1004 KB

english, 1990

78

A finite difference procedure for a class of free boundary problems

Journal:

Journal of Computational Physics

Year:

1992

Language:

english

File:

PDF, 145 KB

english, 1992

79

Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations

Bengt Fornberg, Julia Zuev, Jongwoo Lee

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 313 KB

english, 2007

80

Accurate numerical resolution of transients in initial-boundary value problems for the heat equation

Natasha Flyer, Bengt Fornberg

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 565 KB

english, 2003

81

A finite difference procedure for a class of free boundary problems

Bengt Fornberg, Rita Meyer-Spasche

Journal:

Journal of Computational Physics

Year:

1992

Language:

english

File:

PDF, 421 KB

english, 1992

82

A split step approach for the 3-D Maxwell's equations

Jongwoo Lee, Bengt Fornberg

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 515 KB

english, 2003

83

Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation

Rita Meyer-Spasche, Bengt Fornberg

Journal:

Numerische Mathematik

Year:

1991

Language:

english

File:

PDF, 1019 KB

english, 1991

84

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids

Bengt Fornberg, Natasha Flyer

Journal:

Advances in Computational Mathematics

Year:

2005

Language:

english

File:

PDF, 281 KB

english, 2005

85

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

Bengt Fornberg, Julia Zuev

Journal:

Computers & Mathematics with Applications

Year:

2007

Language:

english

File:

PDF, 1.76 MB

english, 2007

86

Radial basis functions: Developments and applications to planetary scale flows

Natasha Flyer, Bengt Fornberg

Journal:

Computers & Fluids

Year:

2011

Language:

english

File:

PDF, 1.37 MB

english, 2011

87

A numerical methodology for the Painlevé equations

Bengt Fornberg, J.A.C. Weideman

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 2.93 MB

english, 2011

88

A Padé-based algorithm for overcoming the Gibbs phenomenon

Tobin A. Driscoll, Bengt Fornberg

Journal:

Numerical Algorithms

Year:

2001

Language:

english

File:

PDF, 132 KB

english, 2001

89

A method for acceleration of the convergence of infinite series

Anders Beckman, Bengt Fornberg, Arne Tengvald

Journal:

BIT Numerical Mathematics

Year:

1969

Language:

english

File:

PDF, 139 KB

english, 1969

90

A Comparison of the Currents Induced on an EUT in a TEM Cell to Those Induced in a Free-Space Environment

Fornberg, P., Holloway, C.L.

Journal:

IEEE Transactions on Electromagnetic Compatibility

Year:

2007

Language:

english

File:

PDF, 1.18 MB

english, 2007

91

Two Results Concerning the Stability of Staggered Multistep Methods

Ghrist, Michelle, Fornberg, Bengt

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 410 KB

english, 2012

92

Complex Zeros of the Jonquière or Polylogarithm Function

B. Fornberg and K. S. Kölbig

Journal:

Mathematics of Computation

Year:

1975

Language:

english

File:

PDF, 1.35 MB

english, 1975

93

Painlevé IV with both Parameters Zero: A Numerical Study

Jonah A. Reeger, Bengt Fornberg

Journal:

Studies in Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 2.85 MB

english, 2012

94

On a Fourier Method for the Integration of Hyperbolic Equations

Fornberg, Bengt

Journal:

SIAM Journal on Numerical Analysis

Year:

1975

Language:

english

File:

PDF, 1.59 MB

english, 1975

95

Spatial Finite Difference Approximations for Wave-Type Equations

Fornberg, Bengt, Ghrist, Michelle

Journal:

SIAM Journal on Numerical Analysis

Year:

1999

Language:

english

File:

PDF, 509 KB

english, 1999

96

Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case

Driscoll, Tobin A., Fornberg, Bengt

Journal:

SIAM Journal on Scientific Computing

Year:

1999

Language:

english

File:

PDF, 3.87 MB

english, 1999

97

Comparison of finite difference- and pseudospectral methods for convective flow over a sphere

Fornberg, Bengt, Merrill, David

Journal:

Geophysical Research Letters

Year:

1997

Language:

english

File:

PDF, 408 KB

english, 1997

98

Steady incompressible flow past a row of circular cylinders

Fornberg, Bengt

Journal:

Journal of Fluid Mechanics

Year:

1991

Language:

english

File:

PDF, 352 KB

english, 1991

99

Stability of vortices in equilibrium with a cylinder

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

Journal:

Journal of Fluid Mechanics

Year:

2005

Language:

english

File:

PDF, 1.11 MB

english, 2005

100

Stable calculation of Gaussian-based RBF-FD stencils

Fornberg, Bengt, Lehto, Erik, Powell, Collin

Journal:

Computers & Mathematics with Applications

Year:

2013

Language:

english

File:

PDF, 504 KB

english, 2013