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Author ID: reid.william-h Recent zbMATH articles by "Reid, William H."
Published as: Reid, W. H.; Reid, William H.; Reid, W.

Publications by Year

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 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
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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