Edit Profile (opens in new tab) Amos, Donald E. Compute Distance To: Compute Author ID: amos.donald-e Published as: Amos, D. E.; Amos, Donald E. Documents Indexed: 40 Publications since 1963, including 1 Book Co-Authors: 19 Co-Authors with 20 Joint Publications 180 Co-Co-Authors all top 5 Co-Authors 20 single-authored 9 Beck, James Vere 5 Haji-Sheikh, A. 3 Bulgren, William G. 2 Burgmeier, James W. 2 De Monte, Filippo 2 McMasters, Robert L. 2 Yen, David H. Y. 1 Cole, Kevin D. 1 Daniel, Sherae L. 1 Dowding, Kevin J. 1 Johnson, Norman Lloyd 1 Koopmans, Lambert H. 1 Nixon, E. 1 Nunziato, Jace W. 1 Slater, Morton L. 1 Strickland, James H. 1 Walsh, Edward K. 1 Weston, M. K. 1 Wright, Neil T. all top 5 Serials 11 ACM Transactions on Mathematical Software 9 International Journal of Heat and Mass Transfer 5 Mathematics of Computation 3 Biometrika 2 SIAM Review 1 AIAA Journal 1 Journal of Applied Mechanics 1 Journal of the American Statistical Association 1 Quarterly of Applied Mathematics 1 Communications of the ACM 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis all top 5 Fields 18 Numerical analysis (65-XX) 14 Special functions (33-XX) 9 Classical thermodynamics, heat transfer (80-XX) 4 Approximations and expansions (41-XX) 3 Fluid mechanics (76-XX) 2 Statistics (62-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 230 times in 203 Documents Cited by ▼ Year ▼ Computation of modified Bessel functions and their ratios. Zbl 0277.65006Amos, D. E. 55 1974 A portable package for Bessel functions of a complex argument and nonnegative order. Zbl 0613.65013Amos, D. E. 32 1986 Table of percentage points of Pearson curves, for given \(\sqrt {\beta_ 1}\) and \(\beta_ 2\), expressed in standard measure. Zbl 0117.37203Johnson, N. L.; Nixon, E.; Amos, D. E. 14 1963 CDC 6600 subroutines IBESS and JBESS for Bessel functions \(I_\nu(x)\) and \(J_\nu(x)\), \(x\geq 0\), \(\nu\geq 0\). Zbl 0348.65017Amos, D. E.; Daniel, S. L.; Weston, M. K. 9 1977 Verification solution for partial heating of rectangular solids. Zbl 1072.80501Beck, James V.; Haji-Sheikh, A.; Amos, Donald E.; Yen, David 9 2004 Intrinsic verification methods in linear heat conduction. Zbl 1189.80062Beck, James V.; McMasters, Robert; Dowding, Kevin J.; Amos, Donald E. 8 2006 A note on representations of the doubly non-central \(t\)-distribution. Zbl 0162.50704Bulgren, W. G.; Amos, D. E. 8 1968 Diffusion of thermal disturbances in two-dimensional Cartesian transient heat conduction. Zbl 1153.80345de Monte, Filippo; Beck, James V.; Amos, Donald E. 8 2008 On half-space solutions of a modified heat equation. Zbl 0186.43205Amos, D. E. 6 1969 Conduction in rectangular plates with boundary temperatures specified. Zbl 1154.80308Beck, James V.; Wright, Neil T.; Haji-Sheikh, A.; Cole, Kevin D.; Amos, Donald E. 6 2008 On the computation of a bivariate \(t\)-distribution. Zbl 0177.22904Amos, D. E.; Bulgren, W. G. 6 1969 Axial heat conduction effects in the entrance region of parallel plate ducts. Zbl 1153.80316Haji-Sheikh, A.; Beck, J. V.; Amos, Donald E. 6 2008 Axial heat conduction in a moving semi-infinite fluid. Zbl 1154.80321Haji-Sheikh, A.; Amos, Donald E.; Beck, J. V. 5 2008 Evaluation of some cumulative distribution functions by numerical quadrature. Zbl 0398.62017Amos, Donald E. 5 1978 Computation of exponential integrals. Zbl 0436.65006Amos, Donald E. 5 1980 Fast solver for systems of axisymmetric ring vortices. Zbl 0766.76077Strickland, James H.; Amos, Donald E. 5 1992 Representations of the central and non-central \(t\) distributions. Zbl 0129.33405Amos, D. E. 5 1964 Computation of a multivariate F distribution. Zbl 0252.65015Amos, D. E.; Bulgren, W. G. 4 1972 Bounds on iterated coerror functions and their ratios. Zbl 0288.33004Amos, D. E. 4 1973 A portable Fortran subroutine for derivatives of the psi function. Zbl 0519.65013Amos, D. E. 3 1983 On computation of the bivariate normal distribution. Zbl 0293.65006Amos, D. E. 3 1969 Solution of an initial-boundary value problem for heat conduction in a parallelepiped by time partitioning. Zbl 1011.80009Yen, David H. Y.; Beck, James V.; McMasters, Robert L.; Amos, Donald E. 3 2002 A remark on algorithm 644: “A portable package for Bessel functions of a complex and nonnegative order”. Zbl 0888.65016Amos, D. E. 3 1995 Remark on algorithm 644. Zbl 0900.65032Amos, D. E. 3 1990 Uniform asymptotic expansions for exponential integrals \(E_ n(x)\) and Bickley functions \(Ki_ n(x)\). Zbl 0545.33002Amos, D. E. 2 1983 Computation with three-term, linear, non-homogeneous recursion relations. Zbl 0254.65014Amos, D. E.; Burgmeier, J. W. 2 1973 Computation of the central and noncentral F distributions. Zbl 0328.62010Amos, D. E. 2 1976 Temperature field in a moving semi-infinite region with a prescribed wall heat flux. Zbl 1157.80334Haji-Sheikh, A.; Amos, Donald E.; Beck, J. V. 2 2009 Polynomial and spline approximation by quadratic programming. Zbl 0187.12704Amos, D. E.; Slater, M. L. 1 1969 Shock wave structure in a linear elastic mixture with binary chemical reactions. Zbl 0341.73015Nunziato, J. W.; Walsh, E. K.; Amos, D. E. 1 1975 Algorithm 683: A portable FORTRAN subroutine for exponential integrals of a complex argument. Zbl 0900.65029Amos, Donald E. 1 1990 Algorithm 556: Exponential integrals \([S13]\). Zbl 0436.65007Amos, Donald E. 1 1980 A heat-flux based “building block” approach for solving heat conduction problems. Zbl 1217.80116de Monte, Filippo; Beck, James V.; Amos, Donald E. 1 2011 Additional percentage points for the incomplete beta distribution. Zbl 0115.37005Amos, D. E. 1 1963 Tables of the distribution of the coefficient of coherence for stationary bivariate Gaussian processes. Zbl 0138.40501Amos, D. E.; Koopmans, L. H. 1 1963 A heat-flux based “building block” approach for solving heat conduction problems. Zbl 1217.80116de Monte, Filippo; Beck, James V.; Amos, Donald E. 1 2011 Temperature field in a moving semi-infinite region with a prescribed wall heat flux. Zbl 1157.80334Haji-Sheikh, A.; Amos, Donald E.; Beck, J. V. 2 2009 Diffusion of thermal disturbances in two-dimensional Cartesian transient heat conduction. Zbl 1153.80345de Monte, Filippo; Beck, James V.; Amos, Donald E. 8 2008 Conduction in rectangular plates with boundary temperatures specified. Zbl 1154.80308Beck, James V.; Wright, Neil T.; Haji-Sheikh, A.; Cole, Kevin D.; Amos, Donald E. 6 2008 Axial heat conduction effects in the entrance region of parallel plate ducts. Zbl 1153.80316Haji-Sheikh, A.; Beck, J. V.; Amos, Donald E. 6 2008 Axial heat conduction in a moving semi-infinite fluid. Zbl 1154.80321Haji-Sheikh, A.; Amos, Donald E.; Beck, J. V. 5 2008 Intrinsic verification methods in linear heat conduction. Zbl 1189.80062Beck, James V.; McMasters, Robert; Dowding, Kevin J.; Amos, Donald E. 8 2006 Verification solution for partial heating of rectangular solids. Zbl 1072.80501Beck, James V.; Haji-Sheikh, A.; Amos, Donald E.; Yen, David 9 2004 Solution of an initial-boundary value problem for heat conduction in a parallelepiped by time partitioning. Zbl 1011.80009Yen, David H. Y.; Beck, James V.; McMasters, Robert L.; Amos, Donald E. 3 2002 A remark on algorithm 644: “A portable package for Bessel functions of a complex and nonnegative order”. Zbl 0888.65016Amos, D. E. 3 1995 Fast solver for systems of axisymmetric ring vortices. Zbl 0766.76077Strickland, James H.; Amos, Donald E. 5 1992 Remark on algorithm 644. Zbl 0900.65032Amos, D. E. 3 1990 Algorithm 683: A portable FORTRAN subroutine for exponential integrals of a complex argument. Zbl 0900.65029Amos, Donald E. 1 1990 A portable package for Bessel functions of a complex argument and nonnegative order. Zbl 0613.65013Amos, D. E. 32 1986 A portable Fortran subroutine for derivatives of the psi function. Zbl 0519.65013Amos, D. E. 3 1983 Uniform asymptotic expansions for exponential integrals \(E_ n(x)\) and Bickley functions \(Ki_ n(x)\). Zbl 0545.33002Amos, D. E. 2 1983 Computation of exponential integrals. Zbl 0436.65006Amos, Donald E. 5 1980 Algorithm 556: Exponential integrals \([S13]\). Zbl 0436.65007Amos, Donald E. 1 1980 Evaluation of some cumulative distribution functions by numerical quadrature. Zbl 0398.62017Amos, Donald E. 5 1978 CDC 6600 subroutines IBESS and JBESS for Bessel functions \(I_\nu(x)\) and \(J_\nu(x)\), \(x\geq 0\), \(\nu\geq 0\). Zbl 0348.65017Amos, D. E.; Daniel, S. L.; Weston, M. K. 9 1977 Computation of the central and noncentral F distributions. Zbl 0328.62010Amos, D. E. 2 1976 Shock wave structure in a linear elastic mixture with binary chemical reactions. Zbl 0341.73015Nunziato, J. W.; Walsh, E. K.; Amos, D. E. 1 1975 Computation of modified Bessel functions and their ratios. Zbl 0277.65006Amos, D. E. 55 1974 Bounds on iterated coerror functions and their ratios. Zbl 0288.33004Amos, D. E. 4 1973 Computation with three-term, linear, non-homogeneous recursion relations. Zbl 0254.65014Amos, D. E.; Burgmeier, J. W. 2 1973 Computation of a multivariate F distribution. Zbl 0252.65015Amos, D. E.; Bulgren, W. G. 4 1972 On half-space solutions of a modified heat equation. Zbl 0186.43205Amos, D. E. 6 1969 On the computation of a bivariate \(t\)-distribution. Zbl 0177.22904Amos, D. E.; Bulgren, W. G. 6 1969 On computation of the bivariate normal distribution. Zbl 0293.65006Amos, D. E. 3 1969 Polynomial and spline approximation by quadratic programming. Zbl 0187.12704Amos, D. E.; Slater, M. L. 1 1969 A note on representations of the doubly non-central \(t\)-distribution. Zbl 0162.50704Bulgren, W. G.; Amos, D. E. 8 1968 Representations of the central and non-central \(t\) distributions. Zbl 0129.33405Amos, D. E. 5 1964 Table of percentage points of Pearson curves, for given \(\sqrt {\beta_ 1}\) and \(\beta_ 2\), expressed in standard measure. Zbl 0117.37203Johnson, N. L.; Nixon, E.; Amos, D. E. 14 1963 Additional percentage points for the incomplete beta distribution. Zbl 0115.37005Amos, D. E. 1 1963 Tables of the distribution of the coefficient of coherence for stationary bivariate Gaussian processes. Zbl 0138.40501Amos, D. E.; Koopmans, L. H. 1 1963 all cited Publications top 5 cited Publications all top 5 Cited by 307 Authors 11 Beck, James Vere 8 Amos, Donald E. 7 Baricz, Árpád 7 Haji-Sheikh, A. 6 Segura, Javier 4 De Monte, Filippo 4 Gautschi, Walter 4 Gil, Amparo 3 Cole, Kevin D. 3 Gaunt, Robert Edward 3 Hornik, Kurt 3 Kotz, Samuel 3 Marchand, Eric 3 Nadarajah, Saralees 3 Yang, Zhenhang 3 Zheng, Shenzhou 2 Ballestra, Luca Vincenzo 2 Barry, Steven Ian 2 Brambley, Edward James 2 Bremer, James C. 2 Chiccoli, Cesare 2 Chou, Youn-Min 2 Dunster, T. M. 2 Fernández-Bertolin, Aingeru 2 Fyrillas, Marios M. 2 Grün, Bettina 2 Hickson, Roslyn I. 2 Kyriakou, Ioannis 2 Lorenzutta, S. 2 Maino, Giuseppe 2 Mercer, Geoffry Norman 2 Mukhopadhyay, Santwana 2 Neuman, Edward 2 Pacelli, Graziella 2 Paindaveine, Davy 2 Pontrelli, Giuseppe 2 Rothwell, Edward J. 2 Shampine, Lawrence Fred 2 Sidhu, Harvinder Singh 2 Temme, Nico M. 2 van der Merwe, Abrie J. 2 Verdebout, Thomas 2 Witkovský, Viktor 2 Wright, Neil T. 1 Abele, Daniel 1 Aggarwal, Vijay B. 1 Albin, Pierre 1 András, Szilárd 1 Andrianov, Alexey I. 1 Antunes, Pedro Ricardo Simão 1 Arizono, Ikuo 1 Arnold, Anton 1 Arthur, Kathleen H. 1 Bahemmat, Pouya 1 Bar-Lev, Shaul K. 1 Barrell, K. F. 1 Biktashev, Vadim N. 1 Blanc, Johannes Pieter Cornelis 1 Boaca, Ioana 1 Boacă, Tudor 1 Borges, Valério Luiz 1 Bouveyron, Charles 1 Boxma, Onno Johan 1 Britt, Steven 1 Brougham, Rachel I. 1 Burgmeier, James W. 1 Cadou, Christopher 1 Carley, M. J. 1 Carley, Michael 1 Carr, Elliot Joseph 1 Carrillo de la Plata, José Antonio 1 Çetin, Barbaros 1 Chaubey, Yogendra Prasad 1 Chen, Peter J. 1 Cheng, Qianshun 1 Chishtie, Farrukh A. 1 Christov, Ivan C. 1 Cito, Simone 1 Corsaro, Stefania 1 Cutting, Christine 1 Darau, Mirela 1 Dattoli, Giuseppe 1 Davidson, Jane H. 1 Davis, Anthony M. J. 1 Davis, Arthur W. 1 de Forcrand, Philippe 1 Deng, Shaozhong 1 DeRouen, Timothy A. 1 Devroye, Luc P. J. A. 1 Díaz-García, José Antonio 1 Dierckx, Paul 1 Doucet, Arnaud 1 Drezner, Zvi 1 du Plessis, J. L. 1 Duran, Mario M. 1 Ehrhardt, Matthias 1 Einarsson, Bo 1 Fernandes, Ana Paula 1 Field, David A. 1 Flagg, Garret M. ...and 207 more Authors all top 5 Cited in 93 Serials 20 International Journal of Heat and Mass Transfer 12 Journal of Mathematical Analysis and Applications 8 Mathematics of Computation 7 Journal of Computational and Applied Mathematics 6 Journal of Engineering Mathematics 5 Annals of the Institute of Statistical Mathematics 5 Statistics & Probability Letters 5 Communications in Statistics. Simulation and Computation 5 Communications in Statistics. Theory and Methods 5 Journal of Statistical Computation and Simulation 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Journal of Scientific Computing 3 Journal of Fluid Mechanics 3 Journal of Statistical Planning and Inference 3 Computational Statistics 3 European Journal of Operational Research 3 Communications in Numerical Methods in Engineering 3 Mediterranean Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Engineering Science 2 Applied Mathematics and Computation 2 Computing 2 International Statistical Review 2 Journal of Econometrics 2 Journal of Multivariate Analysis 2 Proceedings of the American Mathematical Society 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Expositiones Mathematicae 2 Computational Statistics and Data Analysis 2 Applied and Computational Harmonic Analysis 2 Journal of Inequalities and Applications 2 Methodology and Computing in Applied Probability 2 Quantitative Finance 2 Inverse Problems in Science and Engineering 2 Electronic Journal of Statistics 1 Acta Mechanica 1 The Canadian Journal of Statistics 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Metrika 1 Psychometrika 1 Scandinavian Journal of Statistics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Journal of Approximation Theory 1 Kybernetika 1 Mechanics Research Communications 1 Naval Research Logistics 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Insurance Mathematics & Economics 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Statistics 1 Probability Theory and Related Fields 1 Sequential Analysis 1 Constructive Approximation 1 Applied Mathematics Letters 1 Journal of the Japanese Society of Computational Statistics 1 Journal of Risk and Uncertainty 1 Pattern Recognition 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Imaging and Vision 1 International Journal of Modern Physics D 1 Mathematical Methods of Statistics 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Applied Mathematical Finance 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Inequalities & Applications 1 Journal of Applied Statistics 1 Combustion Theory and Modelling 1 Journal of High Energy Physics 1 The ANZIAM Journal 1 Journal of Evolution Equations 1 Hacettepe Journal of Mathematics and Statistics 1 Analysis and Applications (Singapore) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Journal of Statistical Theory and Practice 1 Advances in Calculus of Variations all top 5 Cited in 34 Fields 62 Numerical analysis (65-XX) 60 Statistics (62-XX) 52 Special functions (33-XX) 25 Classical thermodynamics, heat transfer (80-XX) 23 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 15 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 10 Difference and functional equations (39-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Approximations and expansions (41-XX) 6 Real functions (26-XX) 5 Operations research, mathematical programming (90-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year