Edit Profile (opens in new tab) Anderssen, Robert Scott Co-Author Distance Author ID: anderssen.robert-scott Published as: Anderssen, R. S.; Anderssen, Robert S.; Anderssen, Bob; Anderssen, Robert Scott; Anderssen, R. S. (Bob); Anderssen, Robert more...less External Links: MGP · Google Scholar Documents Indexed: 138 Publications since 1969, including 2 Books and 1 Additional arXiv Preprint 11 Contributions as Editor Reviewing Activity: 53 Reviews Co-Authors: 86 Co-Authors with 119 Joint Publications 2,197 Co-Co-Authors 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 all top 5 Fields 76 Numerical analysis (65-XX) 34 Integral equations (45-XX) 23 Partial differential equations (35-XX) 19 Biology and other natural sciences (92-XX) 16 Fluid mechanics (76-XX) 15 General and overarching topics; collections (00-XX) 15 Mechanics of deformable solids (74-XX) 14 Statistics (62-XX) 11 Ordinary differential equations (34-XX) 9 Approximations and expansions (41-XX) 8 Geophysics (86-XX) 7 Probability theory and stochastic processes (60-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Systems theory; control (93-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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