Edit Profile (opens in new tab) Lord, Gabriel James Co-Author Distance Author ID: lord.gabriel-james Published as: Lord, Gabriel J.; Lord, G. J.; Lord, Gabriel; Lord, Gabriel James; Lord, G. more...less External Links: ORCID Documents Indexed: 62 Publications since 1995, including 1 Book and 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 59 Co-Authors with 62 Joint Publications 1,746 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Champneys, Alan R. 8 Hunt, Giles W. 6 Kelly, Cónall 6 Tambue, Antoine 4 Erdoğan, Utku 4 Peletier, Mark Adriaan 3 Coombes, Stephen 3 Geiger, Sebastian 3 Rougemont, Jacques 3 Shardlow, Tony 3 Stone, Daniel F. 2 Boulton, Lyonell 2 Fursov, Ilya 2 Grinfeld, Michael 2 Horák, Jiri V. 2 Petersson, Andreas 2 Sun, Fandi 1 Adamu, I. A. 1 Bai, Fengshan 1 Banjai, Lehel 1 Beck, Margaret 1 Benth, Fred Espen 1 Bhowmik, Samir Kumar 1 Budd, Christopher John 1 Campbell, Stuart G. 1 Christie, Mike 1 Colbert, C. M. 1 Cooper, Eric W. 1 Coutts, Emma J. 1 Di Nunno, Giulia 1 Dobson, Paul W. 1 Duncan, Dugald B. 1 Josić, Krešimir 1 Kloeden, Peter Eris 1 Kouevi, Assionvi H. 1 Laing, Carlo R. 1 Malham, Simon J. A. 1 Maulana, Heru 1 Molla, Jeta 1 Neuenkirch, Andreas 1 Ottobre, Michela 1 Owen, Markus Roger 1 Peterhof, Daniela 1 Powell, Catherine Elizabeth 1 Sandstede, Björn 1 Scheel, Arnd 1 Schieven, Roy B. 1 Sherratt, Jonathan A. 1 Spence, Alastair 1 Spiliopoulos, Konstantinos V. 1 Stuart, Andrew M. 1 Svensson, Carl-Magnus 1 Thümmler, Vera 1 Timofeeva, Yulia 1 Vanden-Broeck, Jean-Marc 1 Wadee, M. Ahmer 1 Wang, Mengchao 1 Wiese, Anke 1 Woods, P. D. all top 5 Serials 6 SIAM Journal on Numerical Analysis 4 IMA Journal of Numerical Analysis 4 Physica D 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Scientific Computing 3 Computational Geosciences 2 Journal of Computational Physics 2 BIT 2 Applied Numerical Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Numerical Functional Analysis and Optimization 1 Theoretical Population Biology 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Computational Neuroscience 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Proceedings A. Royal Society of London 1 Cambridge Texts in Applied Mathematics all top 5 Fields 37 Numerical analysis (65-XX) 21 Probability theory and stochastic processes (60-XX) 20 Partial differential equations (35-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 982 times in 809 Documents Cited by ▼ Year ▼ An introduction to computational stochastic PDEs. Zbl 1327.60011 Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony 292 2014 Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010 Lord, Gabriel J.; Tambue, Antoine 60 2013 Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Zbl 1013.92006 Coombes, S.; Lord, G. J.; Owen, M. R. 58 2003 Cellular buckling in long structures. Zbl 0974.74024 Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J. 57 2000 Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Zbl 1118.92064 Sherratt, Jonathan A.; Lord, Gabriel J. 49 2007 A numerical scheme for stochastic PDEs with Gevrey regularity. Zbl 1073.65008 Lord, Gabriel J.; Rougemont, Jacques 37 2004 The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. Zbl 1208.65017 Kloeden, P. E.; Lord, G. J.; Neuenkirch, A.; Shardlow, T. 33 2011 Adaptive time-stepping strategies for nonlinear stochastic systems. Zbl 1477.65023 Kelly, Cónall; Lord, Gabriel J. 31 2018 Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem. Zbl 0888.34040 Champneys, A. R.; Lord, G. J. 27 1997 An exponential integrator for advection-dominated reactive transport in heterogeneous porous media. Zbl 1423.76355 Tambue, A.; Lord, G. J.; Geiger, S. 23 2010 Computing stochastic traveling waves. Zbl 1236.35212 Lord, G. J.; Thümmler, V. 23 2012 Do true elevation gravity-capillary solitary waves exist? A numerical investigation. Zbl 1023.76011 Champneys, A. R.; Vanden-Broeck, J.-M.; Lord, G. J. 21 2002 Attractors and inertial manifolds for finite-difference approximations of the complex Ginzburg-Landau equation. Zbl 0888.65104 Lord, Gabriel James 20 1997 Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. Zbl 0958.74021 Hunt, G. W.; Lord, G. J.; Champneys, A. R. 19 1999 Computation of localized post buckling in long axially compressed cylindrical shells. Zbl 0894.73040 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 18 1997 Stochastic methods in neuroscience. Zbl 1177.92007 18 2010 A modified semi-implicit Euler-Maruyama scheme for finite element discretization of SPDEs with additive noise. Zbl 1427.65316 Lord, Gabriel J.; Tambue, Antoine 18 2018 Cylindrical shell buckling: a characterization of localization and periodicity. Zbl 1046.74017 Hunt, G. W.; Lord, G. J.; Peletier, M. A. 17 2003 Exponential time integrators for stochastic partial differential equations in 3D reservoir simulation. Zbl 1348.76147 Geiger, Sebastian; Lord, Gabriel; Tambue, Antoine 14 2012 A new class of exponential integrators for SDEs with multiplicative noise. Zbl 1461.65006 Erdoğan, Utku; Lord, Gabriel J. 14 2019 Postprocessing for stochastic parabolic partial differential equations. Zbl 1140.60036 Lord, Gabriel J.; Shardlow, Tony 13 2007 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108 Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 13 2000 Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 13 2006 Branching dendrites with resonant membrane: a “sum-over-trips” approach. Zbl 1122.92007 Coombes, S.; Timofeeva, Y.; Svensson, C.-M.; Lord, G. J.; Josić, K.; Cox, S. J.; Colbert, C. M. 13 2007 Efficient strong integrators for linear stochastic systems. Zbl 1179.60046 Lord, Gabriel; Malham, Simon J. A.; Wiese, Anke 9 2008 Approximation properties of the \(q\)-sine bases. Zbl 1251.35058 Boulton, Lyonell; Lord, Gabriel 9 2011 Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094 Banjai, Lehel; Lord, Gabriel; Molla, Jeta 7 2021 Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation. Zbl 0877.65062 Lord, Gabriel J.; Stuart, Andrew M. 5 1995 Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue. Zbl 1066.74552 Lord, G. J.; Coombes, S. 5 2002 Finite to infinite steady state solutions, bifurcations of an integro-differential equation. Zbl 1221.37106 Bhowmik, Samir K.; Duncan, Dugald B.; Grinfeld, Michael; Lord, Gabriel J. 4 2011 Stochastic exponential integrators for a finite element discretisation of SPDEs with additive noise. Zbl 1407.65198 Lord, Gabriel J.; Tambue, Antoine 4 2019 Basis properties of the \(p,q\)-sine functions. Zbl 1371.42005 Boulton, Lyonell; Lord, Gabriel J. 4 2015 Computation of homoclinic orbits in partial differential equations: An application to cylindrical shell buckling. Zbl 0954.74021 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 3 1999 Topological and \(\epsilon\)-entropy for large volume limits of discretized parabolic equations. Zbl 1024.35019 Lord, Gabriel J.; Rougemont, Jacques 3 2002 Reversible and non-reversible Markov chain Monte Carlo algorithms for reservoir simulation problems. Zbl 1439.65004 Dobson, P.; Fursov, I.; Lord, G.; Ottobre, M. 3 2020 New efficient substepping methods for exponential timestepping. Zbl 1411.65089 Lord, G. J.; Stone, D. 3 2017 The role of adaptivity in a numerical method for the Cox-Ingersoll-Ross model. Zbl 1492.60173 Kelly, Cónall; Lord, Gabriel; Maulana, Heru 3 2022 Asynchronous discrete event schemes for PDEs. Zbl 1376.76042 Stone, D.; Geiger, S.; Lord, G. J. 3 2017 Numerical computations of connecting orbits in discrete and continuous dynamical systems. Zbl 0877.65049 Bai, Fengshan; Lord, Gabriel J.; Spence, Alastair 2 1996 Numerical approximation of multiplicative SPDEs. Zbl 1258.35212 Adamu, I. A.; Lord, G. J. 2 2012 Numerical variational methods applied to cylinder buckling. Zbl 1162.74050 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 2 2008 Applying kriging proxies for Markov chain Monte Carlo in reservoir simulation. Zbl 1439.86032 Fursov, Ilya; Christie, Mike; Lord, Gabriel 2 2020 Adaptive Euler methods for stochastic systems with non-globally Lipschitz coefficients. Zbl 1480.60182 Kelly, Cónall; Lord, Gabriel J. 2 2022 Strong convergence of a GBM based tamed integrator for SDEs and an adaptive implementation. Zbl 1481.65021 Erdogan, Utku; Lord, Gabriel J. 2 2022 The role of homoclinic bifurcations in understanding the buckling of long thin cylindrical shells. Zbl 0982.74029 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 1 1999 Effects of noise on models of spiny dendrites. Zbl 1276.92014 Coutts, Emma J.; Lord, Gabriel J. 1 2013 Bifurcations in the regularized Ericksen bar model. Zbl 1134.74018 Grinfeld, M.; Lord, G. J. 1 2008 An adaptive splitting method for the Cox-Ingersoll-Ross process. Zbl 07699041 Kelly, Cónall; Lord, Gabriel J. 1 2023 An adaptive splitting method for the Cox-Ingersoll-Ross process. Zbl 07699041 Kelly, Cónall; Lord, Gabriel J. 1 2023 The role of adaptivity in a numerical method for the Cox-Ingersoll-Ross model. Zbl 1492.60173 Kelly, Cónall; Lord, Gabriel; Maulana, Heru 3 2022 Adaptive Euler methods for stochastic systems with non-globally Lipschitz coefficients. Zbl 1480.60182 Kelly, Cónall; Lord, Gabriel J. 2 2022 Strong convergence of a GBM based tamed integrator for SDEs and an adaptive implementation. Zbl 1481.65021 Erdogan, Utku; Lord, Gabriel J. 2 2022 Strong convergence of a Verlet integrator for the semilinear stochastic wave equation. Zbl 1471.60094 Banjai, Lehel; Lord, Gabriel; Molla, Jeta 7 2021 Reversible and non-reversible Markov chain Monte Carlo algorithms for reservoir simulation problems. Zbl 1439.65004 Dobson, P.; Fursov, I.; Lord, G.; Ottobre, M. 3 2020 Applying kriging proxies for Markov chain Monte Carlo in reservoir simulation. Zbl 1439.86032 Fursov, Ilya; Christie, Mike; Lord, Gabriel 2 2020 A new class of exponential integrators for SDEs with multiplicative noise. Zbl 1461.65006 Erdoğan, Utku; Lord, Gabriel J. 14 2019 Stochastic exponential integrators for a finite element discretisation of SPDEs with additive noise. Zbl 1407.65198 Lord, Gabriel J.; Tambue, Antoine 4 2019 Adaptive time-stepping strategies for nonlinear stochastic systems. Zbl 1477.65023 Kelly, Cónall; Lord, Gabriel J. 31 2018 A modified semi-implicit Euler-Maruyama scheme for finite element discretization of SPDEs with additive noise. Zbl 1427.65316 Lord, Gabriel J.; Tambue, Antoine 18 2018 New efficient substepping methods for exponential timestepping. Zbl 1411.65089 Lord, G. J.; Stone, D. 3 2017 Asynchronous discrete event schemes for PDEs. Zbl 1376.76042 Stone, D.; Geiger, S.; Lord, G. J. 3 2017 Basis properties of the \(p,q\)-sine functions. Zbl 1371.42005 Boulton, Lyonell; Lord, Gabriel J. 4 2015 An introduction to computational stochastic PDEs. Zbl 1327.60011 Lord, Gabriel J.; Powell, Catherine E.; Shardlow, Tony 292 2014 Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise. Zbl 1272.65010 Lord, Gabriel J.; Tambue, Antoine 60 2013 Effects of noise on models of spiny dendrites. Zbl 1276.92014 Coutts, Emma J.; Lord, Gabriel J. 1 2013 Computing stochastic traveling waves. Zbl 1236.35212 Lord, G. J.; Thümmler, V. 23 2012 Exponential time integrators for stochastic partial differential equations in 3D reservoir simulation. Zbl 1348.76147 Geiger, Sebastian; Lord, Gabriel; Tambue, Antoine 14 2012 Numerical approximation of multiplicative SPDEs. Zbl 1258.35212 Adamu, I. A.; Lord, G. J. 2 2012 The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. Zbl 1208.65017 Kloeden, P. E.; Lord, G. J.; Neuenkirch, A.; Shardlow, T. 33 2011 Approximation properties of the \(q\)-sine bases. Zbl 1251.35058 Boulton, Lyonell; Lord, Gabriel 9 2011 Finite to infinite steady state solutions, bifurcations of an integro-differential equation. Zbl 1221.37106 Bhowmik, Samir K.; Duncan, Dugald B.; Grinfeld, Michael; Lord, Gabriel J. 4 2011 An exponential integrator for advection-dominated reactive transport in heterogeneous porous media. Zbl 1423.76355 Tambue, A.; Lord, G. J.; Geiger, S. 23 2010 Stochastic methods in neuroscience. Zbl 1177.92007 18 2010 Efficient strong integrators for linear stochastic systems. Zbl 1179.60046 Lord, Gabriel; Malham, Simon J. A.; Wiese, Anke 9 2008 Numerical variational methods applied to cylinder buckling. Zbl 1162.74050 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 2 2008 Bifurcations in the regularized Ericksen bar model. Zbl 1134.74018 Grinfeld, M.; Lord, G. J. 1 2008 Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Zbl 1118.92064 Sherratt, Jonathan A.; Lord, Gabriel J. 49 2007 Postprocessing for stochastic parabolic partial differential equations. Zbl 1140.60036 Lord, Gabriel J.; Shardlow, Tony 13 2007 Branching dendrites with resonant membrane: a “sum-over-trips” approach. Zbl 1122.92007 Coombes, S.; Timofeeva, Y.; Svensson, C.-M.; Lord, G. J.; Josić, K.; Cox, S. J.; Colbert, C. M. 13 2007 Cylinder buckling: the mountain pass as an organizing center. Zbl 1134.35042 Horák, Jiří; Lord, Gabriel J.; Peletier, Mark A. 13 2006 A numerical scheme for stochastic PDEs with Gevrey regularity. Zbl 1073.65008 Lord, Gabriel J.; Rougemont, Jacques 37 2004 Waves and bumps in neuronal networks with axo-dendritic synaptic interactions. Zbl 1013.92006 Coombes, S.; Lord, G. J.; Owen, M. R. 58 2003 Cylindrical shell buckling: a characterization of localization and periodicity. Zbl 1046.74017 Hunt, G. W.; Lord, G. J.; Peletier, M. A. 17 2003 Do true elevation gravity-capillary solitary waves exist? A numerical investigation. Zbl 1023.76011 Champneys, A. R.; Vanden-Broeck, J.-M.; Lord, G. J. 21 2002 Traveling waves in the Baer and Rinzel model of spine studded dendritic tissue. Zbl 1066.74552 Lord, G. J.; Coombes, S. 5 2002 Topological and \(\epsilon\)-entropy for large volume limits of discretized parabolic equations. Zbl 1024.35019 Lord, Gabriel J.; Rougemont, Jacques 3 2002 Cellular buckling in long structures. Zbl 0974.74024 Hunt, G. W.; Peletier, M. A.; Champneys, A. R.; Woods, P. D.; Ahmer Wadee, M.; Budd, C. J.; Lord, G. J. 57 2000 Numerical computation of solitary waves in infinite cylindrical domains. Zbl 0956.65108 Lord, Gabriel J.; Peterhof, Daniela; Sandstede, Björn; Scheel, Arnd 13 2000 Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells. Zbl 0958.74021 Hunt, G. W.; Lord, G. J.; Champneys, A. R. 19 1999 Computation of homoclinic orbits in partial differential equations: An application to cylindrical shell buckling. Zbl 0954.74021 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 3 1999 The role of homoclinic bifurcations in understanding the buckling of long thin cylindrical shells. Zbl 0982.74029 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 1 1999 Computation of homoclinic solutions to periodic orbits in a reduced water-wave problem. Zbl 0888.34040 Champneys, A. R.; Lord, G. J. 27 1997 Attractors and inertial manifolds for finite-difference approximations of the complex Ginzburg-Landau equation. Zbl 0888.65104 Lord, Gabriel James 20 1997 Computation of localized post buckling in long axially compressed cylindrical shells. Zbl 0894.73040 Lord, G. J.; Champneys, A. R.; Hunt, G. W. 18 1997 Numerical computations of connecting orbits in discrete and continuous dynamical systems. Zbl 0877.65049 Bai, Fengshan; Lord, Gabriel J.; Spence, Alastair 2 1996 Discrete Gevrey regularity, attractors and upper-semicontinuity for a finite difference approximation to the Ginzburg-Landau equation. Zbl 0877.65062 Lord, Gabriel J.; Stuart, Andrew M. 5 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,243 Authors 21 Lord, Gabriel James 20 Tambue, Antoine 18 Wang, Xiaojie 17 Cortés López, Juan Carlos 14 Sherratt, Jonathan A. 12 Calatayud, Julia 12 Jornet, Marc 10 Jentzen, Arnulf 10 Mukam, Jean Daniel 9 Bréhier, Charles-Edouard 9 Scheichl, Robert 8 Champneys, Alan R. 8 Coombes, Stephen 8 Gan, Siqing 8 Knobloch, Edgar 8 Lang, Annika 8 Qi, Ruisheng 7 Bhowmik, Samir Kumar 7 Hunt, Giles W. 7 Khan, Akhtar Ali 7 Kühn, Christian 7 Laing, Carlo R. 7 Nobile, Fabio 7 Powell, Catherine Elizabeth 7 Sama, Miguel 6 Bassom, Andrew P. 6 Bespalov, Alexei 6 Feng, Xiaobing 6 Hupkes, Hermen Jan 6 Kamrani, Minoo 6 Sandstede, Björn 6 Wadee, M. Ahmer 6 Wadee, M. Khurram 5 Boer, Martin P. 5 Eigel, Martin 5 Eigentler, Lukas 5 Graham, Ivan G. 5 Jin, Zhen 5 Kilpatrick, Zachary P. 5 Kooi, Bob W. 5 Lin, Junshan 5 Petersson, Andreas 5 Schneider, Reinhold 5 Shardlow, Tony 5 Silvester, David J. 5 Singh, Soumyendra 5 Sun, Guiquan 5 Thompson, John Michael T. 5 Timofeeva, Yulia 5 Ullmann, Elisabeth 5 Vanden-Broeck, Jean-Marc 4 Avitabile, Daniele 4 Bashkirtseva, Irina Adol’fovna 4 Blömker, Dirk 4 Buckwar, Evelyn 4 Burrage, Kevin 4 Dodwell, Timothy J. 4 Fang, Zhiwei 4 Gani, M. Osman 4 Geiersbach, Caroline 4 Hamster, C. H. S. 4 Hausenblas, Erika 4 Hong, Jialin 4 Huang, Chengming 4 Jadamba, Baasansuren 4 Jimenez, Juan Carlos 4 Kavallaris, Nikos Ioannis 4 Kelly, Cónall 4 Kloeden, Peter Eris 4 Kuznetsov, Dmitriĭ Feliksovich 4 Larsson, Stig 4 Li, Jichun 4 Li, Li 4 Li, Yukun 4 Liu, Quanxing 4 Luo, Xianbing 4 Melkonian, Houry 4 Navarro Quiles, Ana 4 Qian, Tao 4 Rößler, Andreas 4 Ryashko, Lev Borisovich 4 Sun, Liying 4 Thalhammer, Andreas 4 Wang, Haijun 4 Wang, Hong 4 Yagasaki, Kazuyuki 4 Yang, Xu 4 Zhang, Linghai 4 Zhao, Weidong 4 Zumbrun, Kevin R. 3 Ableidinger, Markus 3 Altmeyer, Randolf 3 Baccouch, Mahboub 3 Barth, Andrea 3 beim Graben, Peter 3 Bendahmane, Mostafa 3 Boulton, Lyonell 3 Cai, Yongmei 3 Chada, Neil K. 3 Chakraborty, Souvik ...and 1,143 more Authors all top 5 Cited in 192 Serials 47 Physica D 28 Journal of Computational and Applied Mathematics 27 SIAM Journal on Numerical Analysis 25 Journal of Computational Physics 25 SIAM/ASA Journal on Uncertainty Quantification 22 Journal of Scientific Computing 19 Computer Methods in Applied Mechanics and Engineering 19 Applied Mathematics and Computation 18 Applied Numerical Mathematics 16 BIT 16 SIAM Journal on Scientific Computing 13 SIAM Journal on Applied Dynamical Systems 12 Mathematical Methods in the Applied Sciences 11 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Fluid Mechanics 10 Chaos, Solitons and Fractals 10 Mathematics and Computers in Simulation 9 Computers & Mathematics with Applications 9 Journal of Mathematical Biology 9 Numerical Algorithms 9 Stochastic Processes and their Applications 9 Stochastic and Partial Differential Equations. Analysis and Computations 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Journal of Mathematical Analysis and Applications 8 Journal of the Mechanics and Physics of Solids 8 Mathematics of Computation 8 Journal of Differential Equations 8 Numerische Mathematik 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Nonlinear Science 8 Chaos 8 Journal of Theoretical Biology 7 Bulletin of Mathematical Biology 7 Numerical Methods for Partial Differential Equations 7 Discrete and Continuous Dynamical Systems. Series B 7 Communications in Computational Physics 7 The Journal of Mathematical Neuroscience 6 International Journal of Computer Mathematics 6 Computational and Applied Mathematics 6 Advances in Computational Mathematics 6 Discrete and Continuous Dynamical Systems. Series S 5 Biological Cybernetics 5 Journal of Engineering Mathematics 5 Journal of Computational Neuroscience 5 Multiscale Modeling & Simulation 5 Mathematical Biosciences and Engineering 4 Inverse Problems 4 Mathematical Biosciences 4 Calcolo 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Complexity 4 Neural Computation 4 Journal of Elasticity 4 Physics of Fluids 4 Discrete and Continuous Dynamical Systems 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Computational Geosciences 4 Differentsial’nye Uravneniya i Protsessy Upravleniya 4 Advances in Difference Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Journal of Computational Dynamics 3 Applicable Analysis 3 Nonlinearity 3 Integral Equations and Operator Theory 3 Studies in Applied Mathematics 3 Stochastic Analysis and Applications 3 Journal of Computational Mathematics 3 Applied Mathematics Letters 3 The Annals of Applied Probability 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Optimization 3 Potential Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Abstract and Applied Analysis 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Communications on Pure and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 International Journal of Solids and Structures 2 Physica A 2 Physics Letters. A 2 International Journal for Numerical Methods in Engineering 2 Numerical Functional Analysis and Optimization 2 Transactions of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Applied Mathematical Modelling 2 SIAM Review 2 Journal of Dynamics and Differential Equations 2 Engineering Analysis with Boundary Elements 2 Journal of Difference Equations and Applications 2 Nonlinear Dynamics 2 European Journal of Mechanics. A. Solids 2 Dynamical Systems 2 Computational Methods in Applied Mathematics 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Stochastics 2 International Journal of Biomathematics 2 GEM - International Journal on Geomathematics 2 Statistics and Computing ...and 92 more Serials all top 5 Cited in 39 Fields 415 Numerical analysis (65-XX) 350 Partial differential equations (35-XX) 326 Probability theory and stochastic processes (60-XX) 144 Biology and other natural sciences (92-XX) 88 Ordinary differential equations (34-XX) 79 Dynamical systems and ergodic theory (37-XX) 69 Mechanics of deformable solids (74-XX) 58 Fluid mechanics (76-XX) 44 Statistics (62-XX) 28 Integral equations (45-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 20 Operator theory (47-XX) 18 Computer science (68-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Optics, electromagnetic theory (78-XX) 10 Mechanics of particles and systems (70-XX) 10 Geophysics (86-XX) 10 Operations research, mathematical programming (90-XX) 9 Difference and functional equations (39-XX) 9 Approximations and expansions (41-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 7 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year