Journal of Engineering Mathematics Short Title: J. Eng. Math. Publisher: Springer Netherlands, Dordrecht ISSN: 0022-0833; 1573-2703/e Online: http://link.springer.com/journal/volumesAndIssues/10665 Comments: Indexed cover-to-cover Documents Indexed: 2,473 Publications (since 1967) References Indexed: 2,004 Publications with 47,455 References. all top 5 Latest Issues 138 (2023) 137 (2022) 136 (2022) 135 (2022) 134 (2022) 133 (2022) 132 (2022) 131 (2021) 130 (2021) 129 (2021) 128 (2021) 127 (2021) 126 (2021) 125 (2020) 124 (2020) 123 (2020) 122 (2020) 121 (2020) 120 (2020) 119 (2019) 118 (2019) 117 (2019) 116 (2019) 115 (2019) 114 (2019) 113 (2018) 112 (2018) 111 (2018) 110 (2018) 109 (2018) 108 (2018) 107 (2017) 106 (2017) 105 (2017) 104 (2017) 103 (2017) 102 (2017) 101 (2016) 100 (2016) 99 (2016) 98 (2016) 97 (2016) 96 (2016) 95 (2015) 94 (2015) 93 (2015) 92 (2015) 91 (2015) 90 (2015) 89 (2014) 88 (2014) 87 (2014) 86 (2014) 85 (2014) 84 (2014) 83 (2013) 82 (2013) 81 (2013) 80 (2013) 79 (2013) 78 (2013) 77 (2012) 76 (2012) 75 (2012) 74 (2012) 73 (2012) 72 (2012) 71, No. 4 (2011) 71, No. 3 (2011) 71, No. 2 (2011) 71, No. 1 (2011) 70, No. 4 (2011) 70, No. 1-3 (2011) 69, No. 4 (2011) 69, No. 2-3 (2011) 69, No. 1 (2011) 68, No. 3-4 (2010) 68, No. 2 (2010) 68, No. 1 (2010) 67, No. 4 (2010) 67, No. 3 (2010) 67, No. 1-2 (2010) 66, No. 4 (2010) 66, No. 1-3 (2010) 65, No. 4 (2009) 65, No. 3 (2009) 65, No. 2 (2009) 65, No. 1 (2009) 64, No. 4 (2009) 64, No. 3 (2009) 64, No. 2 (2009) 64, No. 1 (2009) 63, No. 2-4 (2009) 63, No. 1 (2009) 62, No. 4 (2008) 62, No. 3 (2008) 62, No. 2 (2008) 62, No. 1 (2008) 61, No. 2-4 (2008) 61, No. 1 (2008) ...and 150 more Volumes all top 5 Authors 37 Forbes, Lawrence K. 31 Merkin, John H. 28 Smith, Frank T. 22 King, John Robert 20 Pozrikidis, Constantine 18 Hocking, Graeme Charles 18 Vanden-Broeck, Jean-Marc 17 Miloh, Touvia 17 Wilson, Stephen Kenneth 16 Van de Ven, Alphons Adrianus Francisca 13 Korobkin, Alexander A. 13 Kuiken, Hendrik K. 13 Veldman, Arthur Eduard Paul 12 Hermans, Aad J. 12 Hill, James Murray 12 Soldatos, Kostas P. 12 Tuck, Ernest O. 11 Fitt, Alistair D. 11 Mandal, Birendra Nath 11 Schwartz, Leonard W. 11 Tyvand, Peder A. 10 Blyth, Mark G. 10 Dennis, S. C. R. 10 Duffy, Brian Reginald 10 Frigaard, Ian A. 10 Sahoo, Trilochan 10 Selvadurai, A. Patrick S. 10 Vynnycky, Michael 9 Howell, Peter D. 9 McIver, Philip 9 van de Vooren, A. I. 9 Volpert, Vladimir A. 8 Bassom, Andrew P. 8 Bürger, Raimund 8 Cooker, Mark J. 8 Evans, David V. 8 González-Santander, Juan Luis 8 Kacimov, Anvar R. 8 Kalliadasis, Serafim 8 Merodio, Jose 8 Noblesse, Francis 8 Ogden, Raymond William 8 Please, Colin P. 8 Pop, Ioan 8 Spencer, Anthony James Merrill 8 van Eijndhoven, Stephanus Jacobus Louis 7 Billingham, John 7 Crowdy, Darren Gregory 7 Geurts, Bernard J. 7 Karlsen, Kenneth Hvistendahl 7 King, Andrew C. 7 Lesnic, Daniel 7 Needham, David John 7 Papageorgiou, Demetrios T. 7 Power, Henry 6 Ames, William Francis 6 Banks, W. H. H. 6 Blake, John Robert 6 Chwang, Allen Tseyung 6 Daniels, P. G. 6 Davis, Anthony M. J. 6 Demiray, Hilmi 6 Howison, Samuel Dexter 6 Kuerten, J. G. M. 6 Lakin, William D. 6 Matar, Omar K. 6 Newman, J. N. 6 Ockendon, John R. 6 Pnueli, David 6 Rienstra, Sjoerd W. 6 Scott, Stephen K. 6 Tilley, Burt S. 6 Timokha, Alexander N. 6 Ting, Lu 6 Tokuoka, Tatsuo 6 Trevelyan, Philip M. J. 6 van Wijngaarden, Leendert 6 Wagner, Barbara A. 6 Yeung, Ronald W. 6 Zandbergen, Pieter J. 5 Alexandrov, Sergei Yu. 5 Broadbridge, Philip 5 Chandna, O. P. 5 Chapko, Roman 5 Dhaliwal, Ranjit S. 5 Diehl, Stefan 5 Griffiths, Ian M. 5 Grue, John 5 Hewitt, Richard E. 5 Hoogstraten, H. W. 5 Kalker, Joost J. 5 Khabakhpasheva, Tatyana I. 5 Kim, Junseok 5 Knops, Robin J. 5 Kriegsmann, Gregory A. 5 Leach, Peter Gavin Lawrence 5 Martin, Paul Andrew 5 Meleshko, V’yacheslav Volodymyrovych 5 Minzoni, Antonmaria Alessio 5 Münch, Andreas ...and 3,062 more Authors all top 5 Fields 1,449 Fluid mechanics (76-XX) 670 Mechanics of deformable solids (74-XX) 337 Partial differential equations (35-XX) 263 Classical thermodynamics, heat transfer (80-XX) 222 Numerical analysis (65-XX) 110 Biology and other natural sciences (92-XX) 103 Geophysics (86-XX) 102 Optics, electromagnetic theory (78-XX) 53 Ordinary differential equations (34-XX) 49 Mechanics of particles and systems (70-XX) 44 Statistical mechanics, structure of matter (82-XX) 36 Integral equations (45-XX) 28 Dynamical systems and ergodic theory (37-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Systems theory; control (93-XX) 20 History and biography (01-XX) 20 Probability theory and stochastic processes (60-XX) 17 General and overarching topics; collections (00-XX) 17 Approximations and expansions (41-XX) 13 Functions of a complex variable (30-XX) 13 Potential theory (31-XX) 13 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Operations research, mathematical programming (90-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Computer science (68-XX) 7 Quantum theory (81-XX) 5 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 Functional analysis (46-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,692 Publications have been cited 9,496 times in 7,519 Documents Cited by ▼ Year ▼ On graphs and rigidity of plane skeletal structures. Zbl 0213.51903Laman, G. 225 1970 The boundary-element method for the determination of a heat source dependent on one variable. Zbl 1146.80007Farcas, Adrian; Lesnic, Daniel 123 2006 Homotopy analysis of nonlinear progressive waves in deep water. Zbl 1112.76316Liao, Shi-Jun; Cheung, Kwok Fai 99 2003 One-dimensional models for blood flow in arteries. Zbl 1070.76059Formaggia, Luca; Lamponi, Daniele; Quarteroni, Alfio 96 2003 One-dimensional modelling of a vascular network in space-time variables. Zbl 1200.76230Sherwin, S. J.; Franke, V.; Peiró, J.; Parker, K. 77 2003 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 68 2001 On dual solutions occurring in mixed convection in a porous medium. Zbl 0597.76081Merkin, J. H. 67 1986 Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model. Zbl 1390.74018Placidi, Luca; Andreaus, Ugo; Giorgio, Ivan 60 2017 An explicit construction of interpolation nodes on the simplex. Zbl 1110.65014Warburton, T. 58 2006 On preconditioned iteration methods for complex linear systems. Zbl 1360.65089Bai, Zhong-Zhi 57 2015 Numerical solutions of a damped sine-Gordon equation in two space variables. Zbl 0841.65083Djidjeli, K.; Price, W. G.; Twizell, E. H. 56 1995 The drag-out problem in film coating theory. Zbl 0502.76053Wilson, S. D. R. 54 1982 A priori tests of large eddy simulation of the compressible plane mixing layer. Zbl 0848.76070Vreman, Bert; Geurts, Bernard; Kuerten, Hans 51 1995 Stokes flow for a stokeslet between two parallel flat plates. Zbl 0377.76030Liron, N.; Mochon, S. 51 1976 The Green’s function for the two-dimensional Helmholtz equation in periodic domains. Zbl 0922.76274Linton, C. M. 51 1998 Fundamental singularities of viscous flow. I: The image systems in the vicinity of a stationary no-slip boundary. Zbl 0269.76022Blake, J. R.; Chwang, A. T. 46 1974 On finite-difference methods for the Korteweg-de Vries equation. Zbl 0221.76003Vliegenthart, A. C. 44 1971 Critical free-surfaces flow over a semi-circular obstruction. Zbl 0638.76008Forbes, L. K. 41 1988 Stabilized finite element method for the stationary Navier-Stokes equations. Zbl 1069.76031He, Yinnian; Wang, Aiwen; Mei, Liquan 40 2005 The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls. Zbl 0325.76035Robinson, W. A. 38 1976 A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. 36 2008 An integral equation formulation of plate bending problems. Zbl 0164.26304Jaswon, M. A.; Maiti, M. 36 1968 Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients. Zbl 1073.65138Sladek, V.; Sladek, J.; Zhang, Ch. 35 2005 Operator separation of variables for adiabatic problems in quantum and wave mechanics. Zbl 1110.81080Belov, V. V.; Dobrokhotov, S. Yu.; Tudorovskiy, T. Ya. 32 2006 Alternative integral representations for the Green function of the theory of ship wave resistance. Zbl 0487.76027Noblesse, F. 32 1981 Generalised critical free-surface flows. Zbl 1178.76080Dias, F.; Vanden-Broeck, J. M. 32 2002 The Neumann-Michell theory of ship waves. Zbl 1294.76074Noblesse, Francis; Huang, Fuxin; Yang, Chi 32 2013 What makes the Peregrine soliton so special as a prototype of freak waves? Zbl 1273.76066Shrira, Victor I.; Geogjaev, Vladimir V. 31 2010 A brief historical perspective of the Wiener-Hopf technique. Zbl 1134.35002Lawrie, Jane B.; Abrahams, I. David 31 2007 Mixed convection boundary layer flow on a vertical surface in a saturated porous medium. Zbl 0433.76078Merkin, J. H. 31 1980 Computation of fluxes of conservation laws. Zbl 1193.65155Cheviakov, Alexei F. 30 2010 Numerical solution of some ordinary differential equations occurring in plate deflection theory. Zbl 0311.65055Usmani, R. A.; Marsden, M. J. 30 1975 The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres. Zbl 0263.76066Hocking, L. M. 30 1973 Computation of periodic Green’s functions of Stokes flow. Zbl 0882.76021Pozrikidis, C. 29 1996 Generalised homogenisation procedures for granular materials. Zbl 1176.74056Pasternak, E.; Mühlhaus, H.-B. 29 2005 Nonlocal problems in MEMS device control. Zbl 0991.78026Pelesko, J. A.; Triolo, A. A. 29 2001 Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies. Zbl 1390.74028dell’Isola, Francesco; Cuomo, Massimo; Greco, Leopoldo; Della Corte, Alessandro 29 2017 The Rayleigh-Taylor instability for inviscid and viscous fluids. Zbl 1180.76023Forbes, Lawrence K. 27 2009 Algorithms for the free-surface Green function. Zbl 0555.76022Newman, J. N. 27 1985 Numerical solution of a fourthorder ordinary differential equation. Zbl 0372.65031Jain, M. K.; Iyengar, S. R. K.; Saldanha, J. S. V. 26 1977 Group properties and new solutions of Navier-Stokes equations. Zbl 0546.35056Boisvert, R. E.; Ames, W. F.; Srivastava, U. N. 26 1983 Direct numerical simulation of turbulence at lower costs. Zbl 0911.76072Verstappen, R. W. C. P.; Veldman, A. E. P. 26 1997 An asymptotic solution for large Prandtl number free convection. Zbl 0197.25103Kuiken, H. K. 25 1968 Spectro-consistent discretization of Navier-Stokes: A challenge to RANS and LES. Zbl 0917.76059Verstappen, R. W. C. P.; Veldman, A. E. P. 25 1998 Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation. Zbl 0948.74057Chin-Joe-Kong, M. J. S.; Mulder, W. A.; van Veldhuizen, M. 25 1999 Lubrication models with small to large slip lengths. Zbl 1158.76321Münch, A.; Wagner, B. A.; Witelski, T. P. 24 2005 Penetration of flexural waves through a periodically constrained thin elastic plate in vacuo and floating on water. Zbl 1117.74014Evans, D. V.; Porter, R. 24 2007 A derivation of the Green-Naghdi equations for irrotational flows. Zbl 1053.76012Kim, J. W.; Bai, K. J.; Ertekin, R. C.; Webster, W. C. 24 2001 On a stabilization procedure for the parabolic stability equations. Zbl 0920.76025Andersson, P.; Henningson, D. S.; Hanifi, A. 23 1998 The effect of the small-aspect-ratio approximation on canonical electrostatic MEMS models. Zbl 1107.78009Pelesko, John A.; Driscoll, Tobin A. 23 2005 On the steady flow produced by a rotating disc with either surface suction or injection. Zbl 0412.76022Ackroyd, J. A. D. 23 1978 Hamilton’s principle for systems of changing mass. Zbl 0265.70010McIver, D. B. 23 1973 Boundary integral equation solution of viscous flows with free surfaces. Zbl 0527.76027Kelmanson, M. A. 22 1983 Invariance and first integrals of continuous and discrete Hamiltonian equations. Zbl 1188.70054Dorodnitsyn, Vladimir; Kozlov, Roman 22 2010 Approximate solutions to a nonlinear diffusion equation. Zbl 0695.35103King, J. R. 22 1988 Generalized squirming motion of a sphere. Zbl 1359.76362Pak, On Shun; Lauga, Eric 22 2014 Inexact rotated block triangular preconditioners for a class of block two-by-two matrices. Zbl 1360.65096Lang, Chao; Ren, Zhi-Ru 22 2015 Practical mathematical representation of the flow due to a distribution of sources on a steadily advancing ship hull. Zbl 1254.76034Noblesse, Francis; Delhommeau, Gerard; Huang, Fuxin; Yang, Chi 22 2011 Stability of a layer of liquid flowing down an inclined plane. Zbl 0279.76025De Bruin, G. J. 21 1974 The Green function in the theory of radiation and diffraction of regular water waves by a body. Zbl 0492.76025Noblesse, F. 21 1982 Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem. Zbl 1073.65137Mikhailov, S. E.; Nakhova, I. S. 21 2005 The Navier-Stokes solution for laminar flow past a semi-infinite flat plate. Zbl 0191.24801van de Vooren, A. I.; Dijkstra, D. 21 1970 A minimum principle for frictionless elastic contact with application to non-Hertzian half-space contact problems. Zbl 0243.73043Kalker, J. J.; van Randen, Y. 21 1972 Slamming in marine applications. Zbl 1041.76502Faltinsen, Odd M.; Landrini, Maurizio; Greco, Marilena 21 2004 On the effects of nonlinearity in free-surface flow about a submerged point vortex. Zbl 0585.76035Forbes, L. K. 21 1985 Matched asymptotic expansions in financial engineering. Zbl 1099.91061Howison, Sam 20 2005 On the wave resistance of a submerged semi-elliptical body. Zbl 0477.76018Forbes, L. K. 20 1981 Acoustic scattering at a hard-soft lining transition in a flow duct. Zbl 1198.76136Rienstra, Sjoerd W. 20 2007 Numerical studies of steady, viscous, incompressible flow in a channel with a step. Zbl 0169.28206Greenspan, D. 20 1969 Playing with nonuniform grids. Zbl 0747.76073Veldman, A. E. P.; Rinzema, K. 20 1992 Propagating reaction-diffusion waves in a simple isothermal quadratic autocatalytic chemical system. Zbl 0707.76083Merkin, J. H.; Needham, D. J. 20 1989 Breakdown of a chemostat exposed to stochastic noise. Zbl 1158.92328Grasman, Johan; de Gee, Maarten; van Herwaarden, Onno A. 19 2005 Single server queues with restricted accessibility. Zbl 0186.24503Cohen, J. W. 19 1969 Unsteady free-surface flow induced by a line sink. Zbl 1038.76510Stokes, T. E.; Hocking, G. C.; Forbes, L. K. 19 2003 Jets in bubbles. Zbl 1041.76506Pearson, A.; Blake, J. R.; Otto, S. R. 19 2004 Critical withdrawal from a two-layer fluid through a line sink. Zbl 0735.76077Hocking, G. C. 19 1991 Stability of viscous flow past a circular cylinder. Zbl 0632.76063Zebib, A. 19 1987 Non-unique solutions of the Navier-Stokes equations for the Kármán swirling flow. Zbl 0357.76027Zandbergen, P. J.; Dijkstra, D. 19 1977 Buckling of fiber-reinforced viscoelastic composite plates using various plate theories. Zbl 1073.74031Zenkour, A. M. 19 2004 Homogenization of a reaction-diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains. Zbl 1325.76197Fatima, Tasnim; Arab, Nasrin; Zemskov, Evgeny P.; Muntean, Adrian 19 2011 Modeling of coating flows on curved surfaces. Zbl 0823.76021Schwartz, Leonard W.; Weidner, D. E. 19 1995 Surface-tension-driven flow on a moving curved surface. Zbl 1044.76015Howell, P. D. 18 2003 Oblique slamming, planing and skimming. Zbl 1041.76504Howison, S. D.; Ockendon, J. R.; Oliver, J. M. 18 2004 Flow with convective acceleration through a porous medium. Zbl 0376.76066Yamamoto, K.; Iwamura, N. 18 1976 A mathematical model for drying paint layers. Zbl 0910.76006Howison, S. D.; Moriarty, J. A.; Ockendon, J. R.; Terrill, E. L.; Wilson, S. K. 18 1997 Gaussian quadrature formulas for the numerica l integration of Bromwich’s integral and the inversion of the Laplace transform. Zbl 0263.65032Piessens, R. 18 1971 Free jets spun from a prilling tower. Zbl 1018.76008Decent, S. P.; King, A. C.; Wallwork, I. M. 18 2002 A comparison of slip, disjoining pressure, and interface formation models for contact line motion through asymptotic analysis of thin two-dimensional droplet spreading. Zbl 1360.76037Sibley, David N.; Nold, Andreas; Savva, Nikos; Kalliadasis, Serafim 18 2015 Analysis of nonlinear vibrations of a two-degree-of-freedom mechanical system with damping modelled by a fractional derivative. Zbl 0954.70019Rossikhin, Yu. A.; Shitikova, M. V. 17 2000 Subcritical free-surface flow caused by a line source in a fluid of finite depth. Zbl 0763.76011Hocking, G. C.; Forbes, L. K. 17 1992 Exact solutions in nonlinear diffusion. Zbl 0279.76043Knight, J. H.; Philip, J. R. 17 1974 An algorithm for the complete symmetry classification of differential equations based on Wu’s method. Zbl 1204.35021Chaolu, Temuer; Jing, Pang 17 2010 A remark on the numerical solution of singular integral equations and the determination of stress-intensity factors. Zbl 0404.73080Theocaris, P. S.; Ioakimidis, N. I. 17 1979 A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer. Zbl 0747.76022Wilson, S. K. 17 1991 A Cartesian-tensor solution of the Brinkman equation. Zbl 0663.76116Yu, Qin; Kaloni, P. N. 17 1988 Similarity solutions for nonlinear diffusion - A new integration procedure. Zbl 0698.76098Hill, J. M. 17 1989 Low-Mach-number asymptotics of the Navier-Stokes equations. Zbl 0924.76095Müller, Bernhard 17 1998 Deep- and shallow-water slamming at small and zero deadrise angles. Zbl 1009.76007Howison, S. D.; Ockendon, J. R.; Oliver, J. M. 17 2002 Effect of inertia on the Marangoni instability of two-layer channel flow. II: Normal-mode analysis. Zbl 1073.76036Blyth, M. G.; Pozrikidis, C. 17 2004 Asymptotic solutions of the linear shallow-water equations with localized initial data. Zbl 1325.76036Dobrokhotov, S. Yu.; Nekrasov, R. V.; Tirozzi, B. 17 2011 An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy. Zbl 1489.65134Park, Jintae; Lee, Chaeyoung; Choi, Yongho; Lee, Hyun Geun; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok 1 2022 Gravity-capillary wave interactions generated by moving disturbances: Euler equations framework. Zbl 1482.76021Flamarion, Marcelo V.; Ribeiro-Jr, Roberto 1 2022 Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects. Zbl 07569643Badday, Alaa Jabbar; Harfash, Akil J. 1 2022 Wave diffraction from the PEC finite wedge. 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Ramana 1 2021 Green’s functions for a trigonal piezoelectric half-plane belonging to 3m crystal class. Zbl 1487.74041Kharrazi, Hossein; Khojasteh, Ali; Rahimian, Mohammad; Pak, Ronald Y. S. 1 2021 Fiber-reinforced composites: nonlinear elasticity and beyond. Zbl 1487.74023Wineman, A.; Pence, Thomas J. 1 2021 Particle movement in a boundary layer. Zbl 1498.35423Jolley, Ellen M.; Palmer, Ryan A.; Smith, Frank T. 1 2021 Bulging initiation and propagation in fiber-reinforced swellable Mooney-Rivlin membranes. Zbl 1500.35275Topol, Heiko; Al-Chlaihawi, Murtadha J.; Demirkoparan, Hasan; Merodio, José 1 2021 An asymptotic investigation of the dynamics and dispersion of an elastic five-layered plate for anti-plane shear vibration. Zbl 1483.35256Nawaz, R.; Nuruddeen, Rahmatullah Ibrahim; Zia, Q. M. Zaigham 1 2021 On finite element estimation of calcium advection diffusion in a multipolar neuron. 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T.; Vanden-Broeck, J.-M. 4 2018 ...and 1281 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,117 Authors 67 Forbes, Lawrence K. 55 Pop, Ioan 48 Smith, Frank T. 47 Merkin, John H. 43 Hocking, Graeme Charles 41 Vanden-Broeck, Jean-Marc 34 Noblesse, Francis 33 Bürger, Raimund 32 Hayat, Tasawar 28 Sahoo, Trilochan 26 Dobrokhotov, Sergei Yurievich 26 Mandal, Birendra Nath 25 Ishak, Anuar 25 King, John Robert 25 Pozrikidis, Constantine 24 Blyth, Mark G. 24 Lesnic, Daniel 23 He, Jiayi 23 Jackson, Bill 23 Nazar, Roslinda Mohd 22 Vynnycky, Michael 22 Yang, Fan 21 Abd-el-Malek, Mina B. 21 He, Yinnian 20 Fu, Chuli 20 Korobkin, Alexander A. 20 Meylan, Michael H. 20 Papageorgiou, Demetrios T. 19 Liao, Shijun 19 McCue, Scott William 19 Veldman, Arthur Eduard Paul 19 Wilson, Stephen Kenneth 18 Barchiesi, Emilio 18 Jordán, Tibor 18 Kalliadasis, Serafim 18 Sagaut, Pierre 18 Sajid, Muhammad 17 Boyd, John Philip 17 dell’Isola, Francesco 17 Grimshaw, Roger Hamilton James 17 Hill, James Murray 17 Placidi, Luca 17 Please, Colin P. 17 Sladek, Jan 17 Sladek, Vladimir 17 Wen, Pihua 17 Wu, Huiyu 16 Bassom, Andrew P. 16 Cheviakov, Alexei F. 16 Schulze, Bernd 16 Tyvand, Peder A. 16 Zenkour, Ashraf M. 15 Ariel, P. 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