## Davies, Ian M.

Compute Distance To:
 Author ID: davies.ian-m Published as: Davies, Ian M.; Davies, I. M.; Davies, Ian; Davis, I. M.; Davies, I. External Links: ORCID
 Documents Indexed: 25 Publications since 1982 5 Contributions as Editor Co-Authors: 12 Co-Authors with 20 Joint Publications 484 Co-Co-Authors
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### Co-Authors

 8 single-authored 18 Truman, Aubrey 5 Zhao, Huaizhong 2 Feng, Yuntian 2 Li, Chenfeng 2 Owen, D. Roger J. 1 Alaminiokuma, G. I. 1 Elworthy, K. David 1 Hassan, Oubay 1 Israel-Cookey, C. 1 Jacob, Niels 1 Li, Dongfeng 1 Marigliano, Orlando 1 Omubo-Pepple, V. B. 1 Simon, Barry 1 Smolyanov, Oleg Georgievich 1 Weatherill, Nigel P.
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### Serials

 4 Journal of Mathematical Physics 3 Journal of Physics A: Mathematical and General 2 Bulletin. The Institute of Mathematics and its Applications 2 Electronic Journal of Probability 2 Journal of Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Le Matematiche 1 Mathematical and Computer Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Doklady Mathematics 1 Engineering Computations 1 Lecture Notes in Mathematics
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### Fields

 19 Probability theory and stochastic processes (60-XX) 8 Quantum theory (81-XX) 5 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

11 Publications have been cited 57 times in 38 Documents Cited by Year
A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM. Zbl 1195.74308
Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Li, D. F.; Davis, I. M.
2008
Stochastic heat and Burgers equations and their singularities. I: Geometrical properties. Zbl 1060.60063
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2002
On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for $$x^{2n}$$-anharmonic oscillators. Zbl 0517.28014
Davies, Ian; Truman, Aubrey
1983
Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Zbl 0496.60067
Davies, Ian; Truman, Aubrey
1982
Fourier representation of random media fields in stochastic finite element modelling. Zbl 1182.74203
Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Davies, I. M.
2006
Stochastic generalised KPP equations. Zbl 0857.60057
Davies, I. M.; Truman, A.; Zhao, H. Z.
1996
Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulae for Hamiltonians on $$L^ 2({\mathbb{R}}^ n)$$. Zbl 0558.60048
Davies, Ian M.; Truman, Aubrey
1984
Stochastic heat and Burgers equations and their singularities. II: Analytical properties and limiting distributions. Zbl 1067.76022
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2005
On the stochastic Lagrangian and a new derivation of the Schrödinger equation. Zbl 0694.70002
Davies, Ian M.
1989
Stochastic heat and Burgers equations and the intermittence of turbulence. Zbl 1057.60062
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2004
On the drift in stochastic mechanics. Zbl 0693.70015
Davies, Ian M.
1989
A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM. Zbl 1195.74308
Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Li, D. F.; Davis, I. M.
2008
Fourier representation of random media fields in stochastic finite element modelling. Zbl 1182.74203
Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Davies, I. M.
2006
Stochastic heat and Burgers equations and their singularities. II: Analytical properties and limiting distributions. Zbl 1067.76022
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2005
Stochastic heat and Burgers equations and the intermittence of turbulence. Zbl 1057.60062
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2004
Stochastic heat and Burgers equations and their singularities. I: Geometrical properties. Zbl 1060.60063
Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong
2002
Stochastic generalised KPP equations. Zbl 0857.60057
Davies, I. M.; Truman, A.; Zhao, H. Z.
1996
On the stochastic Lagrangian and a new derivation of the Schrödinger equation. Zbl 0694.70002
Davies, Ian M.
1989
On the drift in stochastic mechanics. Zbl 0693.70015
Davies, Ian M.
1989
Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulae for Hamiltonians on $$L^ 2({\mathbb{R}}^ n)$$. Zbl 0558.60048
Davies, Ian M.; Truman, Aubrey
1984
On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for $$x^{2n}$$-anharmonic oscillators. Zbl 0517.28014
Davies, Ian; Truman, Aubrey
1983
Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Zbl 0496.60067
Davies, Ian; Truman, Aubrey
1982
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### Cited by 56 Authors

 5 Truman, Aubrey 4 Davies, Ian M. 4 Gunzburger, Max D. 3 Capodaglio, Giacomo 3 Huang, Zhehao 3 Liu, Zhengrong 2 Cen, Song 2 Li, Chenfeng 2 Matskevich, S. E. 2 Neate, Andrew D. 2 Owen, D. Roger J. 2 Webster, Clayton G. 2 Xia, Baizhan 2 Yu, Dejie 2 Zhang, Guannan 2 Zhao, Huaizhong 1 Albeverio, Sergio A. 1 Allaix, Diego Lorenzo 1 Aulisa, Eugenio 1 Beer, Michael A. 1 Carbone, Vincenzo Ilario 1 Chang, Seung Jun 1 Chen, Ning 1 Choi, Jae Gil 1 Chong, Carsten 1 Debbi, Latifa 1 Devitt, John S. 1 Englezos, Nikolaos 1 Frangos, Nikos E. 1 Ghosh, Debraj 1 Gordeeva, N. M. 1 Kamiński, Marcin Marek 1 Kaniadakis, Giorgio 1 Kartala, Xanthi-Isidora 1 Ke, Guoyi 1 Kühn, Christian 1 Lacoin, Hubert 1 Li, Juanjuan 1 Mazzucchi, Sonia 1 Pranesh, Srikara 1 Reasons, Scott 1 Rhodes, Rémi 1 Roberts, Anthony John 1 Sidnyaev, N. I. 1 Skoug, David 1 Song, Lei 1 Stefanou, George Demetrios 1 Vargas, Vincent 1 Wang, Wei 1 Wang, Xiangyu 1 Wang, Zhenzhen 1 Wood, W. Robert 1 Wu, Di 1 Wynn, Henry P. 1 Yannacopoulos, Athanasios N. 1 Zhang, Wenliang
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### Cited in 24 Serials

 6 Journal of Mathematical Physics 5 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 2 Journal of Functional Analysis 2 Stochastic Processes and their Applications 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Physica A 1 Journal of Differential Equations 1 Mechanics Research Communications 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 International Journal of Computer Mathematics 1 Journal of Dynamics and Differential Equations 1 Russian Journal of Mathematical Physics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Vietnam Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Mathematical Fluid Mechanics 1 International Journal of Computational Methods 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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### Cited in 15 Fields

 18 Probability theory and stochastic processes (60-XX) 16 Partial differential equations (35-XX) 11 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)