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Anderssen, Robert Scott

Author ID: anderssen.robert-scott Recent zbMATH articles by "Anderssen, Robert Scott"
Published as: Anderssen, R. S.; Anderssen, Robert S.; Anderssen, Bob; Anderssen, Robert Scott; Anderssen, R. S. (Bob); Anderssen, Robert
External Links: MGP · Google Scholar
all top 5

Co-Authors

21 single-authored
34 de Hoog, Frank Robert
9 Davies, Arthur Russell
8 Hegland, Markus
6 Edwards, Maureen P.
6 Latham, Geoff A.
5 Lukas, Mark A.
4 Pani, Amiya Kumar
4 Weiss, Richard
3 Bloomfield, Peter
3 Husain, Saiful Azmi
3 Jackett, David R.
3 McNabb, Alex
3 Paine, John W.
2 Allen, Bronwyn
2 Fukumoto, Yasuhide
2 Glass, Kathryn
2 Hogan, Alexandra B.
2 Munoz-Lopez, María Jesús
2 Nair, M. Thamban
2 Newsam, Garry N.
2 Omodei, Bernard J.
2 Osborne, Michael Robert
2 Pereverzyev, Sergiy jun.
2 Polthier, Konrad
2 Schumann, Ulrike
2 Seneta, Eugene
2 Westcott, Mark
2 Yu, Shihong
1 Baddeley, Adrian John
1 Brent, Richard Peirce
1 Broadbridge, Philip
1 Bunder, Martin W.
1 Calligaro, R. B.
1 Campbell, M. C. W.
1 Chandler, Graeme A.
1 Cheng, Jin
1 Cleary, J. R.
1 Daley, Daryl John
1 Davies, Russell
1 Dietrich, C. R.
1 Ellem, B. A.
1 Engl, Heinz W.
1 Götz, Ivan G.
1 Gustafson, Sven-Åke
1 Guttmann, Anthony John
1 Helliwell, Christopher A.
1 Hill, James Murray
1 Hoffmann, Karl-Heinz
1 Ivanov, Viktor Vladimirovich
1 Jakeman, Anthony J.
1 Kamiyama, Naoyuki
1 Koshelev, Aleksander Ivanovich
1 Krasnosel’skiĭ, Mark Aleksandrovich
1 Kružík, Martin
1 Lambourne, R. D.
1 Landl, Gerhard
1 Lapwood, E. R.
1 Latham, S.
1 Loy, Richard J.
1 Loy, Rick J.
1 Markey, B. R.
1 McKibbin, Robert
1 Mead, D. W.
1 Mikhlin, Solomon Grigor’evich
1 Mitchell, Andrew Ronald
1 Mizoguchi, Yoshihiro
1 Monypenny, Richard
1 Mooney, John W.
1 Moore, Hannah C.
1 Moran, Patrick Alfred Pierce
1 Nair, Gopalan M.
1 Newbury, C.
1 O’Keefe, Christine M.
1 Prenter, Patricia M.
1 Rakovshchik, L. S.
1 Resmerita, Elena
1 Rose, L. R. Francis
1 Ryan, David M.
1 Saeki, Osamu
1 Scherzer, Otmar
1 Shaposhnikova, Tatyana Olegovna
1 Stet’senko, V. Ya.
1 Stricker, Jay
1 Stuart, W. D.
1 Takagi, Tsuyoshi
1 Toh, Kim Chuan
1 Wahlbin, Lars B.
1 Wakayama, Masato
1 Wake, Graeme Charles
1 Waterhouse, Peter M.
1 Zabreĭko, Pëtr Petrovich
1 Zhong, Min
all top 5

Serials

9 Inverse Problems
9 The ANZIAM Journal
8 Bulletin of the Australian Mathematical Society
7 Numerische Mathematik
6 Mathematics of Computation
5 Journal of Integral Equations and Applications
4 The Geophysical Journal of the Royal Astronomical Society
4 Journal of the Australian Mathematical Society, Series B
4 Applied Mathematics Letters
3 The Mathematical Scientist
3 Journal of Non-Newtonian Fluid Mechanics
2 Mathematical Methods in the Applied Sciences
2 Computing
2 Mathematical and Computer Modelling
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Applied Mathematics
2 Journal of Math-for-Industry
2 Mathematics for Industry
2 Proceedings of the Centre for Mathematics and its Applications, Australian National University
2 Proceedings of the Centre for Mathematical Analysis, Australian National University
2 Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics: Analysis
1 Information Processing Letters
1 Journal of the Institute of Mathematics and its Applications
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Scandinavian Journal of Statistics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 The Australian Mathematical Society Gazette
1 BIT
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Technometrics
1 Theoretical Population Biology
1 Utilitas Mathematica
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 SIAM Journal on Matrix Analysis and Applications
1 Computational Statistics
1 Applied Mathematical Modelling
1 Journal of Physics A: Mathematical and General
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Communications in Nonlinear Science and Numerical Simulation
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Geophysical Research
1 International Journal of Numerical Analysis and Modeling. Series B
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pacific Journal of Mathematics for Industry

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 527 times in 412 Documents Cited by Year
On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems. Zbl 0436.65063
Paine, J. W.; de Hoog, F. R.; Anderssen, R. S.
57
1981
The theory of approximate methods and their application to the numerical solution of singular integral equations. Translated by A. Ideh. Edited by R. S. Anderssen and D. Elliott. Zbl 0346.65065
Ivanov, V. V.
48
1976
On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions. Zbl 0552.65065
Anderssen, R. S.; de Hoog, F. R.
35
1984
Numerical differentiation procedures for non-exact data. Zbl 0264.65014
Anderssen, R. S.; Bloomfield, P.
32
1974
A product integration method for a class of singular first kind Volterra equations. Zbl 0228.65086
Weiss, R.; Anderssen, R. S.
27
1972
Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients. Zbl 0334.34031
McNabb, A.; Anderssen, R. S.; Lapwood, E. R.
24
1976
Integral equations. A reference text. Translated and edited by T. O. Shaposhnikova, R. S. Anderssen, S. G. Mikhlin. Zbl 0293.45001
Zabreĭko, P. P.; Koshelev, A. I.; Krasnosel’skiĭ, M. A.; Mikhlin, S. G.; Rakovshchik, L. S.; Stet’senko, V. Ya.
23
1975
Joint additive Kullback-Leibler residual minimization and regularization for linear inverse problems. Zbl 1132.47008
Resmerita, Elena; Anderssen, Robert S.
21
2007
For numerical differentiation, dimensionality can be a blessing! Zbl 0921.65018
Anderssen, Robert S.; Hegland, Markus
19
1999
A time series approach to numerical differentiation. Zbl 0286.65012
Anderssen, R. S.; Bloomfield, Peter
14
1974
Finite difference methods for the numerical differentiation of non-exact data. Zbl 0537.65018
Anderssen, R. S.; de Hoog, Frank R.
13
1984
The linear functional strategy for improperly posed problems. Zbl 0603.65087
Anderssen, R. S.
12
1986
The application and numerical solution of integral equations. Zbl 0423.00019
12
1980
On the numerical solution of Brownian motion processes. Zbl 0261.65089
Anderssen, R. S.; de Hoog, Frank R.; Weiss, R.
11
1973
Improved estimates of statistical regularization parameters in Fourier differentiation and smoothing. Zbl 0615.65009
Davies, A. R.; Anderssen, R. S.
11
1986
On the Volterra integral equation relating creep and relaxation. Zbl 1147.45002
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.
10
2008
Stable procedures for the inversion of Abel’s equation. Zbl 0328.65065
Anderssen, R. S.
9
1976
The trade-off between regularity and stability in Tikhonov regularization. Zbl 0854.65123
Nair, M. Thamban; Hegland, Markus; Anderssen, Robert S.
9
1997
A stable finite difference ansatz for higher order differentiation of non-exact data. Zbl 0918.65017
Anderssen, Bob; de Hoog, Frank; Hegland, Markus
8
1998
Concerning \(\int^1_0\dots\int^1_0(\chi^2_1+\dots+\chi^2_k)^{1/2}d\chi_1\dots d\chi_k\) and a Taylor series method. Zbl 0337.65022
Anderssen, R. S.; Brent, R. P.; Daley, D. J.; Moran, P. A. P.
8
1976
The Kohlrausch function: properties and applications. Zbl 1101.33308
Anderssen, R. S.; Husain, Saiful A.; Loy, R. J.
8
2004
Global optimization. Zbl 0335.90047
Anderssen, R. S.
7
1972
Asymptotic structure in torsional free oscillations of the Earth. I: Overtone structure. Zbl 0365.73095
Anderssen, R. S.; Cleary, J. R.
7
1974
Performance of robust GCV and modified GCV for spline smoothing. Zbl 1246.62110
Lukas, Mark A.; De Hoog, Frank R.; Anderssen, Robert S.
6
2012
Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions. Zbl 1187.76616
Husain, Saiful A.; Anderssen, R. S.
6
2005
Asymptotic formulas for discrete eigenvalue problems in Liouville normal form. Zbl 1020.34078
de Hoog, Frank R.; Anderssen, Robert S.
6
2001
Stability of the Rayleigh-Ritz procedure for nonlinear two-point boundary value problems. Zbl 0314.65039
Omodei, B. J.; Anderssen, R. S.
6
1975
Abel integral equations. Zbl 0729.65111
Anderssen, R. S.; de Hoog, F. R.
6
1990
Completely monotone fading memory relaxation moduli. Zbl 1076.74504
Anderssen, R. S.; Loy, R. J.
6
2002
Efficient algorithms for robust generalized cross-validation spline smoothing. Zbl 1201.65024
Lukas, Mark A.; de Hoog, Frank R.; Anderssen, Robert S.
6
2010
A mollification framework for improperly posed problems. Zbl 0896.65042
Hegland, M.; Anderssen, R. S.
5
1998
A formal comparison of methods proposed for the numerical solution of first kind integral equations. Zbl 0471.65094
Anderssen, R. S.; Prenter, P. M.
5
1981
Optimization. Proceedings of a seminar on ‘Optimization’ held at the Australian National University on December 8, 1971. Zbl 0305.00007
5
1972
Resolution enhancement of spectra using differentiation. Zbl 1080.65124
Hegland, Markus; Anderssen, Robert S.
5
2005
Assessing quantification for the EMS algorithm. Zbl 0811.65140
Latham, Geoff A.; Anderssen, Robert S.
5
1994
Properties of the random search in global optimization. Zbl 0294.90037
Anderssen, R. S.; Bloomfield, P.
4
1975
Optimization in the regularization of ill-posed problems. Zbl 0605.65087
Davies, A. R.; Anderssen, R. S.
4
1986
A hyperplane approach to the EMS algorithm. Zbl 0760.65137
Latham, Geoff A.; Anderssen, Robert S.
4
1992
Computation of stationary measures for infinite Markov chains. Zbl 0386.60048
Allen, Bronwyn; Anderssen, R. S.; Seneta, E.
4
1977
Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083
Scherzer, O.; Engl, H. W.; Anderssen, R. S.
4
1993
Simple joint inversion localized formulae for relaxation spectrum recovery. Zbl 1376.65162
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.; Loy, R. J.
4
2016
Regularization of first kind integral equations with application to Couette viscometry. Zbl 1381.45010
De Hoog, F. R.; Anderssen, R. S.
3
2006
Sampling localization and duality algorithms in practice. Zbl 0957.76061
Davies, A. R.; Anderssen, R. S.
3
1998
Differentiation of matrix functionals using triangular factorization. Zbl 1219.65044
De Hoog, F. R.; Anderssen, R. S.; Lukas, M. A.
3
2011
The numerical solution of parabolic differential equations using variational methods. Zbl 0183.44701
Anderssen, R. S.
3
1969
Product integration for functionals of particle size distributions. Zbl 0327.62070
Anderssen, R. S.; Jakeman, A. J.
3
1975
On the use of linear functionals for Abel-type integral equations in applications. Zbl 0444.65084
Anderssen, R. S.
3
1980
On the stabilization inherent in the EMS algorithm. Zbl 0792.65020
Latham, Geoff A.; Anderssen, Robert S.
3
1994
On the interconversion integral equation for relaxation and creep. Zbl 1334.74023
Anderssen, Robert Scott; Davies, Arthur Russell; de Hoog, Frank Robert
3
2007
Explicit solutions for a class of dual integral equations. Zbl 0507.45005
Anderssen, R. S.; de Hoog, Frank R.; Rose, L. R. F.
2
1982
Uniformly valid approximation of eigenvalues of Sturm-Liouville problems in geophysics. Zbl 0523.73080
Paine, J. W.; Anderssen, R. S.
2
1980
Kernel perturbations for a class of second-kind convolution Volterra equations with non-negative kernels. Zbl 1250.45001
De Hoog, F. R.; Anderssen, R. S.
2
2012
Theoretical derivation of molecular weight scaling for rheological parameters. Zbl 0973.76535
Anderssen, R. S.; Mead, D. W.
2
1998
The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131
Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz
2
1998
Inverse problems: a pragmatist’s approach to the recovery of information from indirect measurements. Zbl 1078.65572
Anderssen, R. S. (Bob)
2
2005
Theoretical derivations of rules-of-thumb for freezing times. Zbl 0736.35148
McNabb, A.; Wake, G. C.; Lambourne, R. D.; Anderssen, R. S.
2
1991
Matrix analysis of a two-stage-splitting iteration for maximum penalized likelihood estimation. Zbl 0880.65129
Yu, S.; Latham, G. A.; Anderssen, R. S.
2
1997
Analysis of generalised Galerkin methods in the numerical solution of elliptic equations. Zbl 0428.65058
Anderssen, R. S.; Mitchell, A. R.
2
1979
Finite element methods for identification of parameters in parabolic problems. Zbl 0795.35140
Pani, A. K.; Anderssen, R. S.
2
1992
Interconversion relationships for completely monotone functions. Zbl 1299.74034
Loy, R. J.; Anderssen, R. S.
2
2014
Modelling microbial growth in a closed environment. Zbl 1302.93029
Edwards, Maureen P.; Schumann, Ulrike; Anderssen, Robert S.
2
2013
Symmetries and solutions of the non-autonomous von Bertalanffy equation. Zbl 1337.34040
Edwards, Maureen P.; Anderssen, Robert S.
2
2015
Convergence in relaxation spectrum recovery. Zbl 1365.45002
Loy, R. J.; De Hoog, F. R.; Anderssen, R. S.
2
2017
Exploring the dynamics of respiratory syncytial virus (RSV) transmission in children. Zbl 1365.92122
Hogan, Alexandra B.; Glass, Kathryn; Moore, Hannah C.; Anderssen, Robert S.
2
2016
Approximating the Kohlrausch function by sums of exponentials. Zbl 1282.65038
Zhong, Min; Loy, R. J.; Anderssen, R. S.
2
2013
Derivative spectroscopy – an enhanced role for numerical differentiation. Zbl 1205.65130
Anderssen, R. S.; Hegland, M.
2
2010
On the construction of Dirichlet series approximations for completely monotone functions. Zbl 1290.41013
Loy, R. J.; Anderssen, R. S.
2
2014
Convergence of kernel functions for cubic smoothing splines on non- equispaced grids. Zbl 0681.41006
de Hoog, F. R.; Anderssen, R. S.
1
1988
The nature of numerical processes. Zbl 0523.65002
Anderssen, R. S.; de Hoog, Frank R.
1
1983
Linear functionals of foliage angle density. Zbl 0537.92030
Anderssen, R. S.; Jackett, D. R.
1
1984
Decision support for the design of constructed wetlands. Zbl 0846.90061
Anderssen, Bob; Mooney, John; Stricker, Jay
1
1996
A duality proof of sampling localisation in relaxation spectrum recovery. Zbl 1172.76304
Loy, R. J.; Newbury, C.; Anderssen, R. S.; Davies, A. R.
1
2001
Parabolic partial differential equations with unknown coefficients - electrical conductivity modelling. Zbl 0473.65090
Anderssen, R. S.
1
1982
The molecular weight distribution problem and reptation mixing rules. Zbl 1044.82023
Anderssen, R. S.; Westcott, M.
1
2000
A class of densely invertible parabolic operator equations. Zbl 0177.14203
Anderssen, R. S.
1
1969
Computing with noisy data with an application to Abel’s equation. Zbl 0312.65094
Anderssen, R. S.
1
1973
On pointwise stability of cubic smoothing splines with nonuniform sampling points. Zbl 0758.41012
Anderssen, R. S.; de Hoog, F. R.; Wahlbin, L. B.
1
1991
Determination of the transmissivity zonation using a linear functional strategy. Zbl 0737.35144
Chow, S.-S.; Anderssen, R. S.
1
1991
The inverse eigenvalue problems of free oscillation data inversion: the Backus-Gilbert conjecture for angular-order spectra. Zbl 0389.73093
Anderssen, R. S.; Chandler, G. A.
1
1978
The one-dimensional electromagnetic induction problem: Model refinement. Zbl 0424.73095
Anderssen, R. S.
1
1979
A priori error estimates for finite element Galerkin approximations to a free boundary problem in polymer technology. Zbl 0784.65092
Pani, A. K.; Anderssen, R. S.
1
1992
Stabilizing properties of maximum penalized likelihood estimation for additive Poisson regression. Zbl 0802.62030
Yu, S.; Latham, G. A.; Anderssen, R. S.
1
1994
Numerical solution of an integral equation from point process theory. Zbl 1346.60064
Anderssen, R. S.; Baddeley, A. J.; de Hoog, F. R.; Nair, G. M.
1
2014
Practical use of robust GCV and modified GCV for spline smoothing. Zbl 1342.65044
Lukas, Mark A.; de Hoog, Frank R.; Anderssen, Robert S.
1
2016
Information recovery in molecular biology: causal modelling of regulated promoter switching experiments. Zbl 1264.92016
Anderssen, Robert S.; Helliwell, Christopher A.
1
2013
\(L^p\) approximation of completely monotone functions. Zbl 1429.41015
Loy, R. J.; Anderssen, R. S.
1
2019
The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. Zbl 1387.74030
Anderssen, R. S.; Davies, A. R.; De Hoog, F. R.
1
2011
Kernel perturbations for Volterra convolution integral equations. Zbl 1253.45001
De Hoog, F. R.; Anderssen, R. S.
1
2010
Discrete data Fourier deconvolution. Zbl 1405.42009
De Hoog, Frank; Davies, Russell; Loy, Richard; Anderssen, Robert
1
2018
\(L^p\) approximation of completely monotone functions. Zbl 1429.41015
Loy, R. J.; Anderssen, R. S.
1
2019
Discrete data Fourier deconvolution. Zbl 1405.42009
De Hoog, Frank; Davies, Russell; Loy, Richard; Anderssen, Robert
1
2018
Convergence in relaxation spectrum recovery. Zbl 1365.45002
Loy, R. J.; De Hoog, F. R.; Anderssen, R. S.
2
2017
Simple joint inversion localized formulae for relaxation spectrum recovery. Zbl 1376.65162
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.; Loy, R. J.
4
2016
Exploring the dynamics of respiratory syncytial virus (RSV) transmission in children. Zbl 1365.92122
Hogan, Alexandra B.; Glass, Kathryn; Moore, Hannah C.; Anderssen, Robert S.
2
2016
Practical use of robust GCV and modified GCV for spline smoothing. Zbl 1342.65044
Lukas, Mark A.; de Hoog, Frank R.; Anderssen, Robert S.
1
2016
Symmetries and solutions of the non-autonomous von Bertalanffy equation. Zbl 1337.34040
Edwards, Maureen P.; Anderssen, Robert S.
2
2015
Interconversion relationships for completely monotone functions. Zbl 1299.74034
Loy, R. J.; Anderssen, R. S.
2
2014
On the construction of Dirichlet series approximations for completely monotone functions. Zbl 1290.41013
Loy, R. J.; Anderssen, R. S.
2
2014
Numerical solution of an integral equation from point process theory. Zbl 1346.60064
Anderssen, R. S.; Baddeley, A. J.; de Hoog, F. R.; Nair, G. M.
1
2014
Modelling microbial growth in a closed environment. Zbl 1302.93029
Edwards, Maureen P.; Schumann, Ulrike; Anderssen, Robert S.
2
2013
Approximating the Kohlrausch function by sums of exponentials. Zbl 1282.65038
Zhong, Min; Loy, R. J.; Anderssen, R. S.
2
2013
Information recovery in molecular biology: causal modelling of regulated promoter switching experiments. Zbl 1264.92016
Anderssen, Robert S.; Helliwell, Christopher A.
1
2013
Performance of robust GCV and modified GCV for spline smoothing. Zbl 1246.62110
Lukas, Mark A.; De Hoog, Frank R.; Anderssen, Robert S.
6
2012
Kernel perturbations for a class of second-kind convolution Volterra equations with non-negative kernels. Zbl 1250.45001
De Hoog, F. R.; Anderssen, R. S.
2
2012
Differentiation of matrix functionals using triangular factorization. Zbl 1219.65044
De Hoog, F. R.; Anderssen, R. S.; Lukas, M. A.
3
2011
The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. Zbl 1387.74030
Anderssen, R. S.; Davies, A. R.; De Hoog, F. R.
1
2011
Efficient algorithms for robust generalized cross-validation spline smoothing. Zbl 1201.65024
Lukas, Mark A.; de Hoog, Frank R.; Anderssen, Robert S.
6
2010
Derivative spectroscopy – an enhanced role for numerical differentiation. Zbl 1205.65130
Anderssen, R. S.; Hegland, M.
2
2010
Kernel perturbations for Volterra convolution integral equations. Zbl 1253.45001
De Hoog, F. R.; Anderssen, R. S.
1
2010
On the Volterra integral equation relating creep and relaxation. Zbl 1147.45002
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.
10
2008
Joint additive Kullback-Leibler residual minimization and regularization for linear inverse problems. Zbl 1132.47008
Resmerita, Elena; Anderssen, Robert S.
21
2007
On the interconversion integral equation for relaxation and creep. Zbl 1334.74023
Anderssen, Robert Scott; Davies, Arthur Russell; de Hoog, Frank Robert
3
2007
Regularization of first kind integral equations with application to Couette viscometry. Zbl 1381.45010
De Hoog, F. R.; Anderssen, R. S.
3
2006
Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions. Zbl 1187.76616
Husain, Saiful A.; Anderssen, R. S.
6
2005
Resolution enhancement of spectra using differentiation. Zbl 1080.65124
Hegland, Markus; Anderssen, Robert S.
5
2005
Inverse problems: a pragmatist’s approach to the recovery of information from indirect measurements. Zbl 1078.65572
Anderssen, R. S. (Bob)
2
2005
The Kohlrausch function: properties and applications. Zbl 1101.33308
Anderssen, R. S.; Husain, Saiful A.; Loy, R. J.
8
2004
Completely monotone fading memory relaxation moduli. Zbl 1076.74504
Anderssen, R. S.; Loy, R. J.
6
2002
Asymptotic formulas for discrete eigenvalue problems in Liouville normal form. Zbl 1020.34078
de Hoog, Frank R.; Anderssen, Robert S.
6
2001
A duality proof of sampling localisation in relaxation spectrum recovery. Zbl 1172.76304
Loy, R. J.; Newbury, C.; Anderssen, R. S.; Davies, A. R.
1
2001
The molecular weight distribution problem and reptation mixing rules. Zbl 1044.82023
Anderssen, R. S.; Westcott, M.
1
2000
For numerical differentiation, dimensionality can be a blessing! Zbl 0921.65018
Anderssen, Robert S.; Hegland, Markus
19
1999
A stable finite difference ansatz for higher order differentiation of non-exact data. Zbl 0918.65017
Anderssen, Bob; de Hoog, Frank; Hegland, Markus
8
1998
A mollification framework for improperly posed problems. Zbl 0896.65042
Hegland, M.; Anderssen, R. S.
5
1998
Sampling localization and duality algorithms in practice. Zbl 0957.76061
Davies, A. R.; Anderssen, R. S.
3
1998
Theoretical derivation of molecular weight scaling for rheological parameters. Zbl 0973.76535
Anderssen, R. S.; Mead, D. W.
2
1998
The global behavior of elastoplastic and viscoelastic materials with hysteresis-type state equations. Zbl 0907.35131
Anderssen, Robert S.; Götz, Ivan G.; Hoffmann, Karl-Heinz
2
1998
The trade-off between regularity and stability in Tikhonov regularization. Zbl 0854.65123
Nair, M. Thamban; Hegland, Markus; Anderssen, Robert S.
9
1997
Matrix analysis of a two-stage-splitting iteration for maximum penalized likelihood estimation. Zbl 0880.65129
Yu, S.; Latham, G. A.; Anderssen, R. S.
2
1997
Decision support for the design of constructed wetlands. Zbl 0846.90061
Anderssen, Bob; Mooney, John; Stricker, Jay
1
1996
Assessing quantification for the EMS algorithm. Zbl 0811.65140
Latham, Geoff A.; Anderssen, Robert S.
5
1994
On the stabilization inherent in the EMS algorithm. Zbl 0792.65020
Latham, Geoff A.; Anderssen, Robert S.
3
1994
Stabilizing properties of maximum penalized likelihood estimation for additive Poisson regression. Zbl 0802.62030
Yu, S.; Latham, G. A.; Anderssen, R. S.
1
1994
Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083
Scherzer, O.; Engl, H. W.; Anderssen, R. S.
4
1993
A hyperplane approach to the EMS algorithm. Zbl 0760.65137
Latham, Geoff A.; Anderssen, Robert S.
4
1992
Finite element methods for identification of parameters in parabolic problems. Zbl 0795.35140
Pani, A. K.; Anderssen, R. S.
2
1992
A priori error estimates for finite element Galerkin approximations to a free boundary problem in polymer technology. Zbl 0784.65092
Pani, A. K.; Anderssen, R. S.
1
1992
Theoretical derivations of rules-of-thumb for freezing times. Zbl 0736.35148
McNabb, A.; Wake, G. C.; Lambourne, R. D.; Anderssen, R. S.
2
1991
On pointwise stability of cubic smoothing splines with nonuniform sampling points. Zbl 0758.41012
Anderssen, R. S.; de Hoog, F. R.; Wahlbin, L. B.
1
1991
Determination of the transmissivity zonation using a linear functional strategy. Zbl 0737.35144
Chow, S.-S.; Anderssen, R. S.
1
1991
Abel integral equations. Zbl 0729.65111
Anderssen, R. S.; de Hoog, F. R.
6
1990
Convergence of kernel functions for cubic smoothing splines on non- equispaced grids. Zbl 0681.41006
de Hoog, F. R.; Anderssen, R. S.
1
1988
The linear functional strategy for improperly posed problems. Zbl 0603.65087
Anderssen, R. S.
12
1986
Improved estimates of statistical regularization parameters in Fourier differentiation and smoothing. Zbl 0615.65009
Davies, A. R.; Anderssen, R. S.
11
1986
Optimization in the regularization of ill-posed problems. Zbl 0605.65087
Davies, A. R.; Anderssen, R. S.
4
1986
On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions. Zbl 0552.65065
Anderssen, R. S.; de Hoog, F. R.
35
1984
Finite difference methods for the numerical differentiation of non-exact data. Zbl 0537.65018
Anderssen, R. S.; de Hoog, Frank R.
13
1984
Linear functionals of foliage angle density. Zbl 0537.92030
Anderssen, R. S.; Jackett, D. R.
1
1984
The nature of numerical processes. Zbl 0523.65002
Anderssen, R. S.; de Hoog, Frank R.
1
1983
Explicit solutions for a class of dual integral equations. Zbl 0507.45005
Anderssen, R. S.; de Hoog, Frank R.; Rose, L. R. F.
2
1982
Parabolic partial differential equations with unknown coefficients - electrical conductivity modelling. Zbl 0473.65090
Anderssen, R. S.
1
1982
On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems. Zbl 0436.65063
Paine, J. W.; de Hoog, F. R.; Anderssen, R. S.
57
1981
A formal comparison of methods proposed for the numerical solution of first kind integral equations. Zbl 0471.65094
Anderssen, R. S.; Prenter, P. M.
5
1981
The application and numerical solution of integral equations. Zbl 0423.00019
12
1980
On the use of linear functionals for Abel-type integral equations in applications. Zbl 0444.65084
Anderssen, R. S.
3
1980
Uniformly valid approximation of eigenvalues of Sturm-Liouville problems in geophysics. Zbl 0523.73080
Paine, J. W.; Anderssen, R. S.
2
1980
Analysis of generalised Galerkin methods in the numerical solution of elliptic equations. Zbl 0428.65058
Anderssen, R. S.; Mitchell, A. R.
2
1979
The one-dimensional electromagnetic induction problem: Model refinement. Zbl 0424.73095
Anderssen, R. S.
1
1979
The inverse eigenvalue problems of free oscillation data inversion: the Backus-Gilbert conjecture for angular-order spectra. Zbl 0389.73093
Anderssen, R. S.; Chandler, G. A.
1
1978
Computation of stationary measures for infinite Markov chains. Zbl 0386.60048
Allen, Bronwyn; Anderssen, R. S.; Seneta, E.
4
1977
The theory of approximate methods and their application to the numerical solution of singular integral equations. Translated by A. Ideh. Edited by R. S. Anderssen and D. Elliott. Zbl 0346.65065
Ivanov, V. V.
48
1976
Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients. Zbl 0334.34031
McNabb, A.; Anderssen, R. S.; Lapwood, E. R.
24
1976
Stable procedures for the inversion of Abel’s equation. Zbl 0328.65065
Anderssen, R. S.
9
1976
Concerning \(\int^1_0\dots\int^1_0(\chi^2_1+\dots+\chi^2_k)^{1/2}d\chi_1\dots d\chi_k\) and a Taylor series method. Zbl 0337.65022
Anderssen, R. S.; Brent, R. P.; Daley, D. J.; Moran, P. A. P.
8
1976
Integral equations. A reference text. Translated and edited by T. O. Shaposhnikova, R. S. Anderssen, S. G. Mikhlin. Zbl 0293.45001
Zabreĭko, P. P.; Koshelev, A. I.; Krasnosel’skiĭ, M. A.; Mikhlin, S. G.; Rakovshchik, L. S.; Stet’senko, V. Ya.
23
1975
Stability of the Rayleigh-Ritz procedure for nonlinear two-point boundary value problems. Zbl 0314.65039
Omodei, B. J.; Anderssen, R. S.
6
1975
Properties of the random search in global optimization. Zbl 0294.90037
Anderssen, R. S.; Bloomfield, P.
4
1975
Product integration for functionals of particle size distributions. Zbl 0327.62070
Anderssen, R. S.; Jakeman, A. J.
3
1975
Numerical differentiation procedures for non-exact data. Zbl 0264.65014
Anderssen, R. S.; Bloomfield, P.
32
1974
A time series approach to numerical differentiation. Zbl 0286.65012
Anderssen, R. S.; Bloomfield, Peter
14
1974
Asymptotic structure in torsional free oscillations of the Earth. I: Overtone structure. Zbl 0365.73095
Anderssen, R. S.; Cleary, J. R.
7
1974
On the numerical solution of Brownian motion processes. Zbl 0261.65089
Anderssen, R. S.; de Hoog, Frank R.; Weiss, R.
11
1973
Computing with noisy data with an application to Abel’s equation. Zbl 0312.65094
Anderssen, R. S.
1
1973
A product integration method for a class of singular first kind Volterra equations. Zbl 0228.65086
Weiss, R.; Anderssen, R. S.
27
1972
Global optimization. Zbl 0335.90047
Anderssen, R. S.
7
1972
Optimization. Proceedings of a seminar on ‘Optimization’ held at the Australian National University on December 8, 1971. Zbl 0305.00007
5
1972
The numerical solution of parabolic differential equations using variational methods. Zbl 0183.44701
Anderssen, R. S.
3
1969
A class of densely invertible parabolic operator equations. Zbl 0177.14203
Anderssen, R. S.
1
1969
all top 5

Cited by 577 Authors

40 Anderssen, Robert Scott
17 de Hoog, Frank Robert
12 Vanden Berghe, Guido
11 Lukas, Mark A.
9 De Meyer, Hans E.
7 Andrew, Alan L.
7 Ghelardoni, Paolo
6 Gao, Qin
6 Hegland, Markus
6 Nair, M. Thamban
5 Amirov, Rauf Kh.
5 Davies, Arthur Russell
5 Górska, Katarzyna
5 Horzela, Andrzej
5 Kravchenko, Vladislav V.
5 Pereverzev, Sergei V.
5 Torba, Sergii M.
5 Van Daele, Marnix
4 Brunner, Hermann
4 Bulatov, Mikhail Valer’yanovich
4 Burger, Martin
4 Fu, Chuli
4 Magherini, Cecilia
4 Marletta, Marco
4 McKee, Sean
4 Murio, Diego A.
4 Ricciardi, Luigi Maria
4 Sacerdote, Laura
4 Scherzer, Otmar
4 Werner, Frank
4 Zubelli, Jorge P.
3 Aceto, Lidia
3 Albani, Vinicius V. L.
3 Bockmann, Christine
3 Çelik, İbrahim
3 Cheng, Xiaoliang
3 De Cezaro, Adriano
3 Engl, Heinz W.
3 Gheri, Giovanni
3 Hanyga, Andrzej
3 Huang, Zhengda
3 Ji, Mingjun
3 Latham, Geoff A.
3 Lu, Shuai
3 Paine, John W.
3 Prössdorf, Siegfried
3 Qian, Zhi
3 Resmerita, Elena
3 Singh, Om Prakash
3 Wei, Ting
3 Yang, Chuanfu
3 Yurko, Vjacheslav Anatoljevich
3 Zhao, Zhenyu
2 Almenar, Pedro
2 Amodio, Pierluigi
2 Anderson, Michael L.
2 Aydemir, Kadriye
2 Bartel, Felix
2 Bason, Gregory L.
2 Bassom, Andrew P.
2 Benning, Martin
2 Bieniasz, Lesław K.
2 Bloomfield, Peter
2 Borwein, Jonathan Michael
2 Bownds, John M.
2 Budnikova, Ol’ga Sergeevna
2 Chen, Jiun-Shyan
2 Cheng, Jin
2 Crandall, Richard E.
2 Cuminato, José Alberto
2 Edwards, Maureen P.
2 Eggermont, Paul P. B.
2 Favella, Luigi F.
2 Feng, Xiaoli
2 Fermo, Luisa
2 Fowkes, Neville Donald
2 George, Santhosh
2 Gottlieb, H. P. W.
2 Guo, Yao
2 Haltmeier, Markus
2 Hielscher, Ralf
2 Holler, Martin
2 Honerkamp, Josef
2 Hu, Wei
2 Ixaru, Liviu Gr.
2 Jin, Bangti
2 Jódar Sanchez, Lucas Antonio
2 Kammanee, Athassawat
2 Lamani, Lata
2 Li, Ming
2 Lima, Pedro Miguel
2 Messina, Eleonora
2 Mukhtarov, Oktay Sh.
2 Neubauer, Andreas
2 Nguyen, Maï Khuong
2 Ozkan, Ahmet Sinan
2 Pandey, Rajesh Kumar
2 Pany, Ambit Kumar
2 Penson, Karol A.
2 Plato, Robert
...and 477 more Authors
all top 5

Cited in 155 Serials

32 Applied Mathematics and Computation
30 Journal of Computational and Applied Mathematics
16 Mathematics of Computation
15 Numerische Mathematik
10 Bulletin of the Australian Mathematical Society
10 Inverse Problems
9 Linear Algebra and its Applications
8 Journal of Computational Physics
8 Applied Numerical Mathematics
7 Journal of Integral Equations and Applications
7 Inverse Problems in Science and Engineering
6 Applicable Analysis
6 Computers & Mathematics with Applications
6 Journal of Mathematical Analysis and Applications
6 Communications in Nonlinear Science and Numerical Simulation
5 Mathematical Methods in the Applied Sciences
5 Numerical Algorithms
5 International Journal of Computer Mathematics
5 Computational Statistics and Data Analysis
4 Computing
4 Integral Equations and Operator Theory
4 Journal of Optimization Theory and Applications
4 Journal of Complexity
4 Applied Mathematics Letters
4 Mathematical and Computer Modelling
4 Applied Mathematical Modelling
4 Journal of Mathematical Imaging and Vision
4 Journal of Inverse and Ill-Posed Problems
4 The ANZIAM Journal
3 Computer Physics Communications
3 The Annals of Statistics
3 BIT
3 Journal of Approximation Theory
3 Cybernetics and Systems
3 Journal of Scientific Computing
3 Journal of Non-Newtonian Fluid Mechanics
2 Advances in Applied Probability
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Chaos, Solitons and Fractals
2 Calcolo
2 Journal of Differential Equations
2 Journal of Soviet Mathematics
2 Mathematical Programming
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 European Journal of Operational Research
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Applied and Computational Harmonic Analysis
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 Abstract and Applied Analysis
2 Mathematical Physics, Analysis and Geometry
2 Fractional Calculus & Applied Analysis
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Inverse Problems and Imaging
2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
2 Statistics and Computing
1 American Mathematical Monthly
1 Biological Cybernetics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 European Journal of Physics
1 International Journal of Solids and Structures
1 International Journal of Systems Science
1 Journal of Applied Mathematics and Mechanics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Scandinavian Journal of Statistics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 ACM Transactions on Mathematical Software
1 INFOR
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the American Statistical Association
1 Journal of Applied Probability
1 Journal of Econometrics
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 RAIRO. Analyse Numérique
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Zeitschrift für Analysis und ihre Anwendungen
1 Statistics & Probability Letters
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Physica D
1 Computers & Operations Research
1 Computational Mechanics
1 Neural Networks
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Statistics
1 Computational Mathematics and Mathematical Physics
1 Communications in Statistics. Theory and Methods
...and 55 more Serials
all top 5

Cited in 38 Fields

271 Numerical analysis (65-XX)
96 Ordinary differential equations (34-XX)
68 Integral equations (45-XX)
47 Statistics (62-XX)
39 Partial differential equations (35-XX)
38 Operator theory (47-XX)
24 Probability theory and stochastic processes (60-XX)
24 Biology and other natural sciences (92-XX)
21 Mechanics of deformable solids (74-XX)
20 Operations research, mathematical programming (90-XX)
15 Fluid mechanics (76-XX)
13 Approximations and expansions (41-XX)
13 Integral transforms, operational calculus (44-XX)
13 Information and communication theory, circuits (94-XX)
12 Computer science (68-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Real functions (26-XX)
6 Optics, electromagnetic theory (78-XX)
5 Combinatorics (05-XX)
5 Special functions (33-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Number theory (11-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Functional analysis (46-XX)
4 Systems theory; control (93-XX)
3 General and overarching topics; collections (00-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Differential geometry (53-XX)

Citations by Year