Edit Profile (opens in new tab) Davies, Ian M. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1195.74308Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Li, D. F.; Davis, I. M. 13 2008 Stochastic heat and Burgers equations and their singularities. I: Geometrical properties. Zbl 1060.60063Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 8 2002 On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for \(x^{2n}\)-anharmonic oscillators. Zbl 0517.28014Davies, Ian; Truman, Aubrey 7 1983 Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Zbl 0496.60067Davies, Ian; Truman, Aubrey 6 1982 Fourier representation of random media fields in stochastic finite element modelling. Zbl 1182.74203Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Davies, I. M. 6 2006 Stochastic generalised KPP equations. Zbl 0857.60057Davies, I. M.; Truman, A.; Zhao, H. Z. 5 1996 Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulae for Hamiltonians on \(L^ 2({\mathbb{R}}^ n)\). Zbl 0558.60048Davies, Ian M.; Truman, Aubrey 4 1984 Stochastic heat and Burgers equations and their singularities. II: Analytical properties and limiting distributions. Zbl 1067.76022Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 3 2005 On the stochastic Lagrangian and a new derivation of the Schrödinger equation. Zbl 0694.70002Davies, Ian M. 2 1989 Stochastic heat and Burgers equations and the intermittence of turbulence. Zbl 1057.60062Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 2 2004 On the drift in stochastic mechanics. Zbl 0693.70015Davies, Ian M. 1 1989 A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM. Zbl 1195.74308Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Li, D. F.; Davis, I. M. 13 2008 Fourier representation of random media fields in stochastic finite element modelling. Zbl 1182.74203Li, C. F.; Feng, Y. T.; Owen, D. R. J.; Davies, I. M. 6 2006 Stochastic heat and Burgers equations and their singularities. II: Analytical properties and limiting distributions. Zbl 1067.76022Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 3 2005 Stochastic heat and Burgers equations and the intermittence of turbulence. Zbl 1057.60062Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 2 2004 Stochastic heat and Burgers equations and their singularities. I: Geometrical properties. Zbl 1060.60063Davies, Ian M.; Truman, Aubrey; Zhao, Huaizhong 8 2002 Stochastic generalised KPP equations. Zbl 0857.60057Davies, I. M.; Truman, A.; Zhao, H. Z. 5 1996 On the stochastic Lagrangian and a new derivation of the Schrödinger equation. Zbl 0694.70002Davies, Ian M. 2 1989 On the drift in stochastic mechanics. Zbl 0693.70015Davies, Ian M. 1 1989 Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulae for Hamiltonians on \(L^ 2({\mathbb{R}}^ n)\). Zbl 0558.60048Davies, Ian M.; Truman, Aubrey 4 1984 On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for \(x^{2n}\)-anharmonic oscillators. Zbl 0517.28014Davies, Ian; Truman, Aubrey 7 1983 Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Zbl 0496.60067Davies, Ian; Truman, Aubrey 6 1982 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year