Edit Profile (opens in new tab) Reid, William H. Co-Author Distance Author ID: reid.william-h Published as: Reid, W. H.; Reid, William H.; Reid, W. more...less Documents Indexed: 48 Publications since 1954, including 3 Books 2 Contributions as Editor Co-Authors: 11 Co-Authors with 24 Joint Publications 78 Co-Co-Authors all top 5 Co-Authors 22 single-authored 10 Ng, Bart S. 3 Drazin, Philip Gerald 3 Lakin, William D. 2 Backus, George E. 2 Benney, David J. 2 Bretherton, Francis P. 2 Carrier, George Francis 2 Charney, J. G. 2 Gilbert, Freeman 2 Harris, Dewey L. 2 Hide, Raymond 2 Howard, Louis N. 2 Lindzen, Richard S. 2 Malkus, Willem V. R. 2 Meyer, Richard Ernst 2 Pedlosky, Joseph 2 Platzman, George W. 2 Roberts, Paul H. 2 Stewartson, Keith 2 Stuart, J. Trevor 1 Chandrasekhar, Subrahmanyan 1 Duty, R. L. 1 Gage, K. S. 1 Harries, D. L. 1 Hughes, Thomas Haley 1 Proudman, Ian 1 Skates, Steven James all top 5 Serials 5 Journal of Fluid Mechanics 4 Journal of Computational Physics 4 Quarterly Journal of Mechanics and Applied Mathematics 4 Studies in Applied Mathematics 3 Physics of Fluids 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Philosophical Transactions of the Royal Society of London. Ser. A 3 Proceedings of the National Academy of Sciences of the United States of America 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the Cambridge Philosophical Society 2 Lectures in Applied Mathematics 1 Fluid Dynamics Research 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 Applied Scientific Research, Section A 1 Cambridge Mathematical Library all top 5 Fields 24 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Special functions (33-XX) 4 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 1,233 times in 1,115 Documents Cited by ▼ Year ▼ Hydrodynamic stability. Zbl 0449.76027 Drazin, P. G.; Reid, W. H. 496 1981 Hydrodynamic stability. Foreword by John Miles. 2nd ed. Zbl 1055.76001 Drazin, P. G.; Reid, W. H. 301 2004 Hydrodynamic stability. Zbl 0513.76031 Drazin, P. G.; Reid, W. H. 44 1982 The stability of thermally stratified plane Poiseuille flow. Zbl 0155.55702 Gage, K. S.; Reid, W. H. 42 1968 An initial value method for eigenvalue problems using compound matrices. Zbl 0408.65061 Ng, B. S.; Reid, W. H. 40 1979 On the decay of a normally distributed and homogeneous turbulent velocity field. Zbl 0056.19901 Proudman, I.; Reid, W. H. 40 1954 Some futher results on the Bénard problem. Zbl 0082.39701 Reid, W. H.; Harries, D. L. 27 1958 The compound matrix method for ordinary differential systems. Zbl 0576.34014 Ng, B. S.; Reid, W. H. 26 1985 On the stability of viscous flow in a curved channel. Zbl 0083.20902 Reid, W. H. 21 1958 On the stability of viscous flow between rotating cylinders. II: Numberical analysis. Zbl 0126.42801 Harris, D.; Reid, W. 18 1964 Composite approximations to the solutions of the Orr-Sommerfeld equation. Zbl 0263.76033 Reid, W. H. 17 1972 Integral representations for products of Airy functions. Zbl 0824.33002 Reid, W. H. 17 1995 On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods. Zbl 0468.76039 Ng, B. S.; Reid, W. H. 13 1980 Integral representations for products of Airy functions. II: Cubic products. Zbl 0874.33003 Reid, W. H. 12 1997 Integral representations for products of Airy functions. III: Quartic products. Zbl 0874.33004 Reid, W. H. 12 1997 On the stability of stratified viscous plane Couette flow. I: Constant buoyancy frequency. Zbl 0354.76033 Davey, A.; Reid, W. H. 11 1977 Approximations to the eigenvalue relation for the Orr-Sommerfeld problem. Zbl 0383.76030 Lakin, W. D.; Ng, B. S.; Reid, W. H. 11 1978 A numerical method for linear two-point boundary-value problems using compound matrices. Zbl 0484.65053 Ng, B. S.; Reid, W. H. 11 1979 Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. I: Plane Couette flow. Zbl 0339.76027 Reid, W. H. 10 1974 On the expansion of functions which satisfy four boundary conditions. Zbl 0078.07504 Chandrasekhar, S.; Reid, W. H. 10 1957 On the stability of viscous flow between rotating cylinders. Zbl 0126.42705 Duty, R.; Reid, W. 8 1964 Mathematical problems in the geophysical sciences. 1: Geophysical fluid dynamics. Zbl 0227.76002 7 1971 The stability of spiral flow between rotating cylinders. Zbl 0197.25401 Hughes, T. H.; Reid, W. H. 6 1968 An exact solution of the Orr-Sommerfeld equation for plane Couette flow. Zbl 0431.76038 Reid, W. H. 5 1979 Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. II: The general theory. Zbl 0408.76020 Reid, W. H. 4 1974 Asymptotic analysis of the Orr-Sommerfeld problem for boundary-layer flows. Zbl 0478.76059 Lakin, W. D.; Reid, W. H. 4 1982 The stability of non-dissipative Couette flow in the presence of an axial magnetic field. Zbl 0094.40402 Reid, W. H. 3 1960 Inviscid modes of instability in Couette flow. Zbl 0101.19903 Reid, W. H. 3 1960 The effects of surface tension and viscosity on the stability of two superposed fluids. Zbl 0101.42903 Reid, W. H. 3 1961 On the stability of stratified viscous plane Couette flow. II: Variable buoyancy frequency. Zbl 0354.76034 Davey, A.; Reid, W. H. 2 1977 The oscillations of a viscous liquid globe with a core. Zbl 0086.40603 Reid, W. H. 2 1959 On the transfer of energy in Burgers’ model of turbulence. Zbl 0071.20003 Reid, W. H. 2 1956 Simple asymptotics for the temporal spectrum of an Orr-Sommerfeld problem. Zbl 0991.76021 Ng, B. S.; Reid, W. H. 1 2000 On the spectral problem for Poiseuille flow in a circular pipe. Zbl 1032.76546 Reid, William H.; Ng, Bart S. 1 2003 Similarity spectra in isotropic turbulence. Zbl 0084.21204 Reid, W. H.; Harris, D. L. 1 1959 One-dimensional equilibrium spectra in isotropic turbulence. Zbl 0091.19307 Reid, W. H. 1 1960 Inviscid modes of instability in flow over a concave wall. Zbl 0104.20801 Reid, W. H. 1 1961 Hydrodynamic stability. Foreword by John Miles. 2nd ed. Zbl 1055.76001 Drazin, P. G.; Reid, W. H. 301 2004 On the spectral problem for Poiseuille flow in a circular pipe. Zbl 1032.76546 Reid, William H.; Ng, Bart S. 1 2003 Simple asymptotics for the temporal spectrum of an Orr-Sommerfeld problem. Zbl 0991.76021 Ng, B. S.; Reid, W. H. 1 2000 Integral representations for products of Airy functions. II: Cubic products. Zbl 0874.33003 Reid, W. H. 12 1997 Integral representations for products of Airy functions. III: Quartic products. Zbl 0874.33004 Reid, W. H. 12 1997 Integral representations for products of Airy functions. Zbl 0824.33002 Reid, W. H. 17 1995 The compound matrix method for ordinary differential systems. Zbl 0576.34014 Ng, B. S.; Reid, W. H. 26 1985 Hydrodynamic stability. Zbl 0513.76031 Drazin, P. G.; Reid, W. H. 44 1982 Asymptotic analysis of the Orr-Sommerfeld problem for boundary-layer flows. Zbl 0478.76059 Lakin, W. D.; Reid, W. H. 4 1982 Hydrodynamic stability. Zbl 0449.76027 Drazin, P. G.; Reid, W. H. 496 1981 On the numerical solution of the Orr-Sommerfeld problem: Asymptotic initial conditions for shooting methods. Zbl 0468.76039 Ng, B. S.; Reid, W. H. 13 1980 An initial value method for eigenvalue problems using compound matrices. Zbl 0408.65061 Ng, B. S.; Reid, W. H. 40 1979 A numerical method for linear two-point boundary-value problems using compound matrices. Zbl 0484.65053 Ng, B. S.; Reid, W. H. 11 1979 An exact solution of the Orr-Sommerfeld equation for plane Couette flow. Zbl 0431.76038 Reid, W. H. 5 1979 Approximations to the eigenvalue relation for the Orr-Sommerfeld problem. Zbl 0383.76030 Lakin, W. D.; Ng, B. S.; Reid, W. H. 11 1978 On the stability of stratified viscous plane Couette flow. I: Constant buoyancy frequency. Zbl 0354.76033 Davey, A.; Reid, W. H. 11 1977 On the stability of stratified viscous plane Couette flow. II: Variable buoyancy frequency. Zbl 0354.76034 Davey, A.; Reid, W. H. 2 1977 Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. I: Plane Couette flow. Zbl 0339.76027 Reid, W. H. 10 1974 Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. II: The general theory. Zbl 0408.76020 Reid, W. H. 4 1974 Composite approximations to the solutions of the Orr-Sommerfeld equation. Zbl 0263.76033 Reid, W. H. 17 1972 Mathematical problems in the geophysical sciences. 1: Geophysical fluid dynamics. Zbl 0227.76002 7 1971 The stability of thermally stratified plane Poiseuille flow. Zbl 0155.55702 Gage, K. S.; Reid, W. H. 42 1968 The stability of spiral flow between rotating cylinders. Zbl 0197.25401 Hughes, T. H.; Reid, W. H. 6 1968 On the stability of viscous flow between rotating cylinders. II: Numberical analysis. Zbl 0126.42801 Harris, D.; Reid, W. 18 1964 On the stability of viscous flow between rotating cylinders. Zbl 0126.42705 Duty, R.; Reid, W. 8 1964 The effects of surface tension and viscosity on the stability of two superposed fluids. Zbl 0101.42903 Reid, W. H. 3 1961 Inviscid modes of instability in flow over a concave wall. Zbl 0104.20801 Reid, W. H. 1 1961 The stability of non-dissipative Couette flow in the presence of an axial magnetic field. Zbl 0094.40402 Reid, W. H. 3 1960 Inviscid modes of instability in Couette flow. Zbl 0101.19903 Reid, W. H. 3 1960 One-dimensional equilibrium spectra in isotropic turbulence. Zbl 0091.19307 Reid, W. H. 1 1960 The oscillations of a viscous liquid globe with a core. Zbl 0086.40603 Reid, W. H. 2 1959 Similarity spectra in isotropic turbulence. Zbl 0084.21204 Reid, W. H.; Harris, D. L. 1 1959 Some futher results on the Bénard problem. Zbl 0082.39701 Reid, W. H.; Harries, D. L. 27 1958 On the stability of viscous flow in a curved channel. Zbl 0083.20902 Reid, W. H. 21 1958 On the expansion of functions which satisfy four boundary conditions. Zbl 0078.07504 Chandrasekhar, S.; Reid, W. H. 10 1957 On the transfer of energy in Burgers’ model of turbulence. Zbl 0071.20003 Reid, W. H. 2 1956 On the decay of a normally distributed and homogeneous turbulent velocity field. Zbl 0056.19901 Proudman, I.; Reid, W. H. 40 1954 all cited Publications top 5 cited Publications all top 5 Cited by 1,731 Authors 13 Straughan, Brian 12 Reid, William H. 11 Forbes, Lawrence K. 10 Riahi, Daniel N. 10 Sengupta, Tapan Kumar 8 Barletta, Antonio 8 Masmoudi, Nader 8 Mulone, Giuseppe 7 Bedrossian, Jacob 7 Choudhury, Sudipto Roy 7 Deguchi, Kengo 7 Grenier, Emmanuel 7 Jiang, Fei 7 Shankar, B. M. 7 Shivakumara, I. S. 7 Siddheshwar, Pradeep G. 6 Humpherys, Jeffrey 6 Mancas, Stefan C. 6 Nguyen, Toan Trong 6 Renardy, Michael 6 Wang, Quan 6 Wollkind, David J. 6 Zhang, Zhifei 5 Ansari, Alireza 5 Bridges, Thomas J. 5 Chang, Min-Hsing 5 Eckhardt, Bruno 5 Ellingsen, Simen A. 5 Ricco, Pierre 5 Sheard, Gregory John 5 Singh, Jitender 5 Wei, Dongyi 4 Agrawal, G. S. 4 Barker, Blake 4 Bassom, Andrew P. 4 Brindha, D. 4 Celli, Michele 4 Chomaz, Jean-Marc 4 Falsaperla, Paolo 4 Garg, Piyush 4 Ghazaryan, Anna R. 4 Guha, Anirban 4 Herron, Isom H. jun. 4 Huerre, Patrick 4 Jung, Changyeol 4 Kerswell, Richard Rodney 4 Kraichnan, Robert Harry 4 Lafortune, Stéphane 4 Le Dizès, Stéphane 4 Lindsay, Kenneth A. 4 Meseguer, Álvaro 4 Orlandi, Paolo 4 Patne, Ramkarn 4 Pavithra, P. 4 Pothérat, Alban 4 Rionero, Salvatore 4 Sherwin, Spencer J. 4 Subramanian, Ganesh 4 Temam, Roger Meyer 4 Tyvand, Peder A. 4 Vanneste, Jacques 4 Varlamov, Vladimir V. 4 Vedeneev, Vasiliĭ Vladimirovich 4 Vicol, Vlad C. 4 Wettlaufer, John S. 4 Yudin, M. A. 4 Zhang, Mengqi 4 Zhou, Ye 4 Zumbrun, Kevin R. 3 Asthana, Rishi 3 Avramenko, Andriy A. 3 Awasthi, Mukesh Kumar 3 Bajaj, Renu 3 Bouchet, Freddy 3 Brandt, Luca 3 Brevdo, Leonid 3 Camporeale, Carlo 3 Carnevale, George F. 3 Chaudhary, Indresh 3 Chen, Falin 3 Chen, Qi 3 Chernyshev, S. A. 3 Collings, John B. 3 Coman, Ciprian D. 3 Coti Zelati, Michele 3 Davidson, Peter Alan 3 de Moraes Franklin, Erick 3 El-Sayed, Mohamed Fahmy 3 Elgindi, Tarek Mohamed 3 Floryan, Jerzy M. 3 Germain, Pierre 3 Ghosh, Sukhendu 3 Gilbert, Andrew D. 3 Gustavsson, L. Håkan 3 Healey, Jonathan J. 3 Henry, David 3 Hou, Thomas Yizhao 3 Hsu, Hung-Chu 3 Il’in, Konstantin Ivanovich 3 Kafiabad, Hossein Amini ...and 1,631 more Authors all top 5 Cited in 180 Serials 255 Journal of Fluid Mechanics 52 Journal of Computational Physics 52 European Journal of Mechanics. B. Fluids 42 Physics of Fluids 32 Computers and Fluids 28 Physica D 25 Acta Mechanica 18 Archive for Rational Mechanics and Analysis 18 Journal of Engineering Mathematics 17 International Journal of Engineering Science 17 Journal of Mathematical Analysis and Applications 16 Applied Mathematics and Computation 15 Applied Mathematical Modelling 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Journal of Differential Equations 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Mathematical Fluid Mechanics 12 Theoretical and Computational Fluid Dynamics 12 Studies in Applied Mathematics 11 Fluid Dynamics 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Geophysical and Astrophysical Fluid Dynamics 10 Journal of Computational and Applied Mathematics 9 Communications in Mathematical Physics 9 Mathematical and Computer Modelling 8 International Journal of Heat and Mass Transfer 8 Physics of Fluids, A 7 Chaos, Solitons and Fractals 7 Applied Numerical Mathematics 7 Journal of Non-Newtonian Fluid Mechanics 6 Journal of Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Physics of Fluids 6 Physics Letters. A 6 Applied Mathematics Letters 6 SIAM Journal on Applied Mathematics 6 SIAM Journal on Mathematical Analysis 6 The Journal of Analysis 6 Integral Transforms and Special Functions 6 The ANZIAM Journal 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Physics Reports 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Mathematics and Computers in Simulation 5 Mathematika 5 Applied Mathematics and Mechanics. (English Edition) 5 Annals of PDE 5 International Journal of Applied and Computational Mathematics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Astrophysics and Space Science 4 Computers & Mathematics with Applications 4 Journal of the Mechanics and Physics of Solids 4 Journal of Statistical Physics 4 Rheologica Acta 4 Wave Motion 4 Meccanica 4 Quarterly of Applied Mathematics 4 Journal of Scientific Computing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computational Mathematics and Mathematical Physics 4 Continuum Mechanics and Thermodynamics 4 Discrete and Continuous Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Turbulence 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series B 3 Applicable Analysis 3 Journal of Applied Mathematics and Mechanics 3 Journal of the Franklin Institute 3 Journal of Functional Analysis 3 The Journal of the Indian Mathematical Society. New Series 3 Ricerche di Matematica 3 Acta Applicandae Mathematicae 3 Applications of Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Nonlinear Science 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Journal of Statistical Mechanics: Theory and Experiment 3 PMM, Journal of Applied Mathematics and Mechanics 2 International Journal for Numerical Methods in Fluids 2 Mathematical Notes 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Annals of Physics 2 Journal of Dynamics and Differential Equations 2 Archive of Applied Mechanics 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Problems in Engineering 2 Journal of Applied Mechanics and Technical Physics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. A. Solids 2 Combustion Theory and Modelling 2 Nonlinear Dynamics and Systems Theory 2 Sādhanā ...and 80 more Serials all top 5 Cited in 37 Fields 954 Fluid mechanics (76-XX) 200 Partial differential equations (35-XX) 98 Numerical analysis (65-XX) 96 Classical thermodynamics, heat transfer (80-XX) 51 Geophysics (86-XX) 49 Ordinary differential equations (34-XX) 45 Mechanics of deformable solids (74-XX) 38 Dynamical systems and ergodic theory (37-XX) 24 Special functions (33-XX) 22 Statistical mechanics, structure of matter (82-XX) 10 Quantum theory (81-XX) 10 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 7 Integral transforms, operational calculus (44-XX) 7 Astronomy and astrophysics (85-XX) 6 Real functions (26-XX) 5 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Functions of a complex variable (30-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year