Edit Profile (opens in new tab) van Gorder, Robert Ashton Compute Distance To: Compute Author ID: van-gorder.robert-a Published as: Van Gorder, Robert A.; van Gorder, Robert A.; Van Gorder, R. A.; van Gorder, R. A. more...less Homepage: https://sites.google.com/site/ravangorder/ External Links: MGP · ORCID · Google Scholar · dblp · GND Documents Indexed: 193 Publications since 2008, including 1 Book 2 Contributions as Editor Co-Authors: 101 Co-Authors with 144 Joint Publications 2,824 Co-Co-Authors all top 5 Co-Authors 50 single-authored 45 Vajravelu, Kuppalapalle 18 Krause, Andrew L. 11 Please, Colin P. 8 Mallory, Kristina 8 Sweet, Erik W. 7 Bhrawy, Ali Hassan 6 Baxter, Mathew 6 Choudhury, Sudipto Roy 6 Fadai, Nabil T. 6 Sloman, Benjamin M. 5 Haussermann, John 5 Planella, Ferran Brosa 5 Talay Akyildiz, F. 4 Abbasbandy, Saeid 4 Doha, Eid H. 4 Kaup, David J. 4 Kwiecinski, James A. 4 Luckins, Ellen K. 4 Oliver, James M. 4 Siginer, Dennis A. 3 Bakhtiari, Parisa 3 Bellout, Hamid 3 Sachak-Patwa, Rahil 3 Theaker, Kyle A. 2 Abdelkawy, Mohamed A. 2 Beliaev, Dmitri B. 2 Hafez, Ramy Mahmoud 2 Kim, Hyunyeon 2 Kurowski, Lawrence 2 Mahapatra, Tapas Ray 2 Nandy, Samir Kumar 2 Pop, Ioan 2 Russo, Matthew 2 Saberi Nik, Hassan 2 Waters, Sarah Louise 2 Yawar, Kamran 1 Adusumilli, Susheel 1 Akram, Zahra 1 Alofi, Abdulaziz Saleem Moslem 1 Băleanu, Dumitru I. 1 Biber, Stanisław W. 1 Birkeland, Rolf G. 1 Brennan, Joseph Patrick 1 Burton, Abigail M. 1 Cannon, John Rozier 1 Caputo, Michael R. 1 Conti, Federica 1 Effati, Sohrab 1 Eide, Ragna M. 1 Ellis, Meredith A. 1 Erban, Radek 1 Fussell, Elizabeth F. 1 González-Fariña, Raquel 1 Grindrod, Peter 1 Guilmineau, Fabien 1 Hajiketabi, Mohammad 1 Harrington, Heather A. 1 Hearns, Jessica 1 Hong, Baojian 1 Hua, Tianshu 1 Kamilova, Alissa 1 Kandel, Abraham 1 Karpenko, Daria 1 Kekić, Armin 1 Kennedy, Daniel T. 1 Khalique, Chaudry Masood 1 Kleanthous, Antigoni 1 Klika, Václav 1 Levy, Dorian 1 Li, Ronald 1 Lowry, Vanessa C. 1 Lu, Dianchen 1 Makowski, Kalie 1 Malomed, Boris A. 1 Manai, Alexandre 1 Melrose, John 1 Mesrizadeh, Mehdi 1 Mizuguchi, Hanako 1 Mohapatra, Ram Narayan 1 Mukhopadhyay, Swati 1 Münch, Andreas 1 Nevai, Andrew L. 1 Perkins, Matthew 1 Prasad, Kerehalli V. 1 Reeves, Brandon 1 Reger, K. 1 Reid, Frederick Lyall 1 Ritchie, Joshua S. 1 Ruks, Lewis 1 Saberi-Nadjafi, Jafar 1 Salas, Alvaro H. 1 Shen, Lulan 1 Shi, Borun 1 Snyder, Brooke C. 1 Taylor, Nick P. 1 Valderhaug, Aasgeir M. 1 Wu, Guocheng 1 Wu, Ruijia 1 Xu, Yifang 1 Zaky, Mahmoud A. ...and 1 more Co-Authors all top 5 Serials 21 Applied Mathematics and Computation 12 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Fluid Mechanics 9 Numerical Algorithms 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Physics of Fluids 7 SIAM Journal on Applied Mathematics 7 Journal of Theoretical Biology 6 Communications in Theoretical Physics 5 Acta Mechanica 5 Mathematical Methods in the Applied Sciences 5 Bulletin of Mathematical Biology 4 Annals of Physics 4 Journal of Mathematical Chemistry 4 Nonlinear Dynamics 3 IMA Journal of Applied Mathematics 3 Journal of Mathematical Physics 3 Physica A 3 Physics Letters. A 3 Meccanica 3 Quarterly of Applied Mathematics 3 Applied Mathematics Letters 3 Archive of Applied Mechanics 3 Abstract and Applied Analysis 3 Nonlinear Analysis. Real World Applications 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Engineering Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 European Journal of Applied Mathematics 2 Advances in Applied Clifford Algebras 2 The Ramanujan Journal 2 Physica Scripta 2 International Mathematical Forum 2 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Journal of Number Theory 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 Quaestiones Mathematicae 1 Physica D 1 IMA Journal of Mathematical Control and Information 1 Journal of Economic Dynamics & Control 1 Applied Mathematical Modelling 1 Journal of Non-Newtonian Fluid Mechanics 1 Celestial Mechanics and Dynamical Astronomy 1 Computational and Applied Mathematics 1 Mathematical Communications 1 Differential Equations and Dynamical Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Medicine and Biology 1 International Journal of Number Theory 1 Journal of Biological Dynamics 1 International Journal of Contemporary Mathematical Sciences 1 International Journal of Mathematical Analysis (Ruse) 1 Journal of Dynamics and Games 1 Proceedings A. Royal Society of London 1 Research in Number Theory all top 5 Fields 85 Partial differential equations (35-XX) 59 Fluid mechanics (76-XX) 36 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 26 Biology and other natural sciences (92-XX) 20 Classical thermodynamics, heat transfer (80-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 8 Number theory (11-XX) 7 Quantum theory (81-XX) 5 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Sequences, series, summability (40-XX) 4 Astronomy and astrophysics (85-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 896 times in 553 Documents Cited by ▼ Year ▼ On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach. Zbl 1221.65208Van Gorder, Robert A.; Vajravelu, K. 52 2009 A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A. 49 2016 Analytic and numerical solutions to the Lane-Emden equation. Zbl 1223.85004Van Gorder, Robert A.; Vajravelu, K. 46 2008 Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. Zbl 1349.65511Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Van Gorder, Robert A. 39 2014 Nano boundary layers over stretching surfaces. Zbl 1221.76024Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K. 31 2010 Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces. Zbl 1231.35155Talay Akyildiz, F.; Bellout, Hamid; Vajravelu, Kuppalapalle; Van Gorder, Robert A. 24 2011 Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method. Zbl 1243.35163Van Gorder, Robert A. 18 2012 Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. Zbl 1257.65063Van Gorder, Robert A. 18 2012 Analytical solutions to a generalized Drinfel’d-Sokolov equation related to DSSH and KdV6. Zbl 1195.35271Sweet, Erik; Van Gorder, Robert A. 16 2010 Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005Vajravelu, Kuppalapalle; Van Gorder, Robert A. 15 2012 Stochastic epidemic metapopulation models on networks: SIS dynamics and control strategies. Zbl 1406.92584Krause, Andrew L.; Kurowski, Lawrence; Yawar, Kamran; Van Gorder, Robert A. 15 2018 Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds. Zbl 1415.92034Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A. 14 2019 Implicit differential equation arising in the steady flow of a Sisko fluid. Zbl 1160.76002Akyildiz, F. Talay; Vajravelu, K.; Mohapatra, R. N.; Sweet, Erik; van Gorder, Robert A. 14 2009 Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. Zbl 1299.76025Mallory, Kristina; Van Gorder, Robert A. 12 2014 Shil’nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere. Zbl 1284.37022Van Gorder, Robert A. 12 2013 A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval. Zbl 1308.85006Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.; van Gorder, Robert A. 12 2014 Competitive modes for the Baier-Sahle hyperchaotic flow in arbitrary dimensions. Zbl 1279.34063Saberi Nik, Hassan; van Gorder, Robert A. 11 2013 Classification of chaotic regimes in the T system by use of competitive modes. Zbl 1279.34056Van Gorder, Robert A.; Choudhury, S. Roy 10 2010 Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind. Zbl 1270.85006Van Gorder, Robert A. 10 2011 The variational iteration method is a special case of the homotopy analysis method. Zbl 1325.65118Van Gorder, Robert A. 10 2015 Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L. 10 2021 Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis. Zbl 1294.34049Van Gorder, Robert A. 10 2011 Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner-Skan flow. Zbl 1222.76033Van Gorder, Robert A.; Vajravelu, K. 10 2010 Role of seasonality on predator-prey-subsidy population dynamics. Zbl 1343.92422Levy, Dorian; Harrington, Heather A.; Van Gorder, Robert A. 9 2016 Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet. Zbl 1293.76179van Gorder, Robert A.; Vajravelu, K.; Pop, I. 9 2012 Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. Zbl 1286.65139Russo, Matthew; Van Gorder, Robert A. 9 2013 Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1201.34048Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Cannon, J. R.; van Gorder, Robert A. 9 2010 Extended Stefan problem for solidification of binary alloys in a finite planar domain. Zbl 1419.80013Brosa Planella, Ferran; Please, Colin P.; van Gorder, Robert A. 9 2019 Fully nonlinear local induction equation describing the motion of a vortex filament in superfluid \({^4}\)He. Zbl 1275.76042Van Gorder, Robert A. 8 2012 Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. Zbl 1283.65090Mallory, Kristina; Van Gorder, Robert A. 8 2013 Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Zbl 1284.91057Snyder, Brooke C.; Van Gorder, Robert A.; Vajravelu, K. 8 2013 Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere. Zbl 1284.80008Reger, K.; Van Gorder, R. A. 8 2013 Exponential-type solutions to a generalized Drinfel’d-Sokolov equation. Zbl 1206.37043Sweet, Erik; Van Gorder, Robert A. 8 2010 Analytical and numerical solutions of the density dependent diffusion Nagumo equation. Zbl 1221.92026Van Gorder, Robert A.; Vajravelu, K. 8 2008 A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation. Zbl 1195.35010Van Gorder, Robert A.; Vajravelu, K. 8 2010 Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. Zbl 1272.76027Van Gorder, Robert A.; Vajravelu, K. 7 2010 The Cauchy problem for complex fuzzy differential equations. Zbl 1315.35227Karpenko, Daria; Van Gorder, Robert A.; Kandel, Abraham 7 2014 Analytical and numerical solutions of the density dependent Nagumo telegraph equation. Zbl 1201.35073Van Gorder, Robert A.; Vajravelu, K. 7 2010 Analytical and numerical results for the Swift-Hohenberg equation. Zbl 1252.65178Talay Akyildiz, F.; Siginer, Dennis A.; Vajravelu, K.; van Gorder, Robert A. 7 2010 Two-species migration and clustering in two-dimensional domains. Zbl 1378.92058Kurowski, Lawrence; Krause, Andrew L.; Mizuguchi, Hanako; Grindrod, Peter; Van Gorder, Robert A. 7 2017 Analytical Hopf bifurcation and stability analysis of T system. Zbl 1264.34019Van Gorder, Robert A.; Choudhury, S. Roy 7 2011 Predator-prey-subsidy population dynamics on stepping-stone domains. Zbl 1370.92148Shen, Lulan; Van Gorder, Robert A. 6 2017 Self-similar vortex dynamics in superfluid \(^{4}He\) under the Cartesian representation of the Hall-Vinen model including superfluid friction. Zbl 1320.76015Van Gorder, Robert A. 6 2013 A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Zbl 1211.34037Van Gorder, Robert A.; Vajravelu, K. 6 2010 Multiple solutions for hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Zbl 1329.76049Van Gorder, Robert A.; Vajravelu, K. 6 2011 Asymptotic analysis of a silicon furnace model. Zbl 1394.80009Sloman, Benjamin M.; Please, Colin P.; van Gorder, Robert A. 6 2018 Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. Zbl 1277.35102Russo, Matthew; Van Gorder, Robert A.; Choudhury, S. Roy 5 2013 Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. Zbl 1382.65459Abbasbandy, S.; van Gorder, R. A.; Bakhtiari, P. 5 2017 On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Zbl 1293.65137Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle 5 2014 Motion of a helical vortex filament in superfluid \(^{4}He\) under the extrinsic form of the local induction approximation. Zbl 1320.76028Van Gorder, Robert A. 5 2013 Traveling wave solutions of the \(n\)-dimensional coupled Yukawa equations. Zbl 1246.35170Van Gorder, Robert A. 5 2012 Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Zbl 1229.34041Van Gorder, Robert A.; Vajravelu, K.; Akyildiz, F. Talay 5 2011 Chaotic regimes, post-bifurcation dynamics, and competitive modes for a generalized double Hopf normal form. Zbl 1258.34082Reeves, Brandon; Van Gorder, Robert A.; Choudhury, S. Roy 5 2012 Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. Zbl 1277.76024Van Gorder, Robert A.; Sweet, Erik; Vajravelu, K. 5 2010 High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet. Zbl 1425.35164Van Gorder, Robert A. 5 2010 Helical vortex filament motion under the non-local Biot-Savart model. Zbl 1335.76015Van Gorder, Robert A. 5 2015 Dynamics of the Rayleigh-plesset equation modelling a gas-filled bubble immersed in an incompressible fluid. Zbl 1383.76481Van Gorder, Robert A. 4 2016 Motion of a vortex filament in the local induction approximation: a perturbative approach. Zbl 1291.76075van Gorder, Robert A. 4 2012 General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation. Zbl 1321.82041Van Gorder, Robert A. 4 2014 Stability of auxiliary linear operator and convergence-control parameter in the homotopy analysis method. Zbl 1308.35018Van Gorder, Robert A. 4 2014 The chaotic Dadras-Momeni system: control and hyperchaotification. Zbl 1397.49026Saberi Nik, Hassan; Van Gorder, Robert A.; Gambino, G. 4 2016 A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. Zbl 1448.92212Krause, Andrew L.; Van Gorder, Robert A. 4 2020 Squared eigenfunctions and the perturbation theory for the nondegenerate \(N \times N\) operator: a general outline. Zbl 1202.81069Kaup, D. J.; Van Gorder, Robert A. 4 2010 The inverse scattering transform and squared eigenfunctions for the nondegenerate \(3 \times 3\) operator and its soliton structure. Zbl 1204.47011Kaup, D. J.; van Gorder, Robert A. 4 2010 Envelope theorems for locally differentiable open-loop Stackelberg equilibria of finite horizon differential games. Zbl 1230.91021Van Gorder, Robert A.; Caputo, Michael R. 4 2010 Diffusive instabilities and spatial patterning from the coupling of reaction-diffusion processes with Stokes flow in complex domains. Zbl 1430.76176Van Gorder, Robert A.; Kim, Hyunyeon; Krause, Andrew L. 4 2019 Homogenization of a shrinking core model for gas-solid reactions in granular particles. Zbl 1461.35029Sloman, Benjamin M.; Please, Colin P.; Van Gorder, Robert A. 4 2019 Nonlinear dynamics of discrete time multi-level leader-follower games. Zbl 1427.91069Wu, Ruijia; Van Gorder, Robert A. 4 2018 Does the Riemann zeta function satisfy a differential equation? Zbl 1382.11060Van Gorder, Robert A. 4 2015 Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays. Zbl 1397.92568Eide, Ragna M.; Krause, Andrew L.; Fadai, Nabil T.; Van Gorder, Robert A. 4 2018 Glaisher-type products over the primes. Zbl 1245.40003Van Gorder, Robert A. 3 2012 Method for constructing analytical solutions to the Dym initial value problem. Zbl 1354.35131Mallory, Kristina; Van Gorder, Robert A. 3 2014 Multicomplex wave functions for linear and nonlinear Schrödinger equations. Zbl 1369.30065Theaker, Kyle A.; Van Gorder, Robert A. 3 2017 Self-similar vortex filament motion under the non-local Biot-Savart model. Zbl 1462.76007van Gorder, Robert A. 3 2016 Several types of similarity solutions for the Hunter-Saxton equation. Zbl 1319.35110Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle 3 2015 Response to “Comment on ‘Motion of a helical vortex filament in superfluid \(^{4}\)He under the extrinsic form of the local induction approximation{’}” [Phys. Fluids 26, Paper No. 019101 (2014)]. Zbl 1321.76016Van Gorder, Robert A. 3 2014 Exact and analytical solutions for a nonlinear sigma model. Zbl 1383.35187Baxter, Mathew; Van Gorder, Robert A. 3 2014 Melting and dripping of a heated material with temperature-dependent viscosity in a thin vertical tube. Zbl 1460.80014Sloman, Benjamin M.; Please, Colin P.; Van Gorder, Robert A. 3 2020 A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability. Zbl 1311.92072Mallory, Kristina; Van Gorder, Robert A. 3 2014 A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns. Zbl 1448.92253Taylor, Nick P.; Kim, Hyunyeon; Krause, Andrew L.; Van Gorder, Robert A. 3 2020 Third-order partial differential equations arising in the impulsive motion of a flat plate. Zbl 1221.74053Van Gorder, Robert A.; Vajravelu, K. 3 2009 Computing the region of convergence for power series in many real variables: A ratio-like test. Zbl 1252.65064Van Gorder, Robert A. 3 2011 Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. Zbl 1388.76349Van Gorder, Robert A.; Vajravelu, K. 3 2011 Natural convection heat transfer of a viscous fluid in a vertical porous channel. Zbl 1254.76132Akyildiz, F. Talay; Siginer, Dennis A.; Vajravelu, K.; Van Gorder, Robert A. 3 2012 Trigonometric and hyperbolic type solutions to a generalized Drinfel’d-Sokolov equation. Zbl 1206.35223Sweet, Erik; Van Gorder, Robert A. 3 2010 Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium. Zbl 1397.76142Van Gorder, Robert A.; Vajravelu, Kuppalapalle 3 2010 Exact and analytic solutions of the ernst equation governing axially symmetric stationary vacuum gravitational fields. Zbl 1266.83017Baxter, Mathew; Van Gorder, Robert A. 3 2013 Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance. Zbl 1423.85007Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. 3 2014 Hybrid approach to modeling spatial dynamics of systems with generalist predators. Zbl 1406.92661Fussell, Elizabeth F.; Krause, Andrew L.; Van Gorder, Robert A. 3 2019 An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry. Zbl 1470.65141Bhrawy, A. H.; Alofi, A. S.; Van Gorder, R. A. 3 2014 Non-local dynamics governing the self-induced motion of a planar vortex filament. Zbl 1326.76035Van Gorder, Robert A. 3 2015 Asymptotic analysis of a multiphase drying model motivated by coffee bean roasting. Zbl 1386.80005Fadai, Nabil T.; Please, Colin P.; van Gorder, Robert A. 3 2018 The Biot-Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid. Zbl 1371.76168Van Gorder, Robert A. 2 2015 On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. Zbl 1375.65103Van Gorder, Robert A. 2 2017 Solutions to a novel Casimir equation for the Itô system. Zbl 1247.35065Van Gorder, Robert A. 2 2011 A linearization approach for rational nonlinear models in mathematical physics. Zbl 1247.34020Van Gorder, Robert A. 2 2012 Turing and Benjamin-Feir instability mechanisms in non-autonomous systems. Zbl 1472.35221van Gorder, Robert A. 2 2020 Erratum to: “Existence and uniqueness results for a nonlinear differential equation arising in stagnation point flow in a porous medium”. Zbl 1401.76144Van Gorder, Robert A.; Vajravelu, Kuppalapalle 2 2012 Chemically reactive solute transfer in a moving fluid over a moving surface. Zbl 1401.76162Mukhopadhyay, Swati; Vajravelu, Kuppalapalle; Van Gorder, Robert A. 2 2013 A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Zbl 1271.76068Van Gorder, Robert A.; Vajravelu, Kuppalapalle 2 2010 Turing conditions for pattern forming systems on evolving manifolds. Zbl 1456.35029Van Gorder, Robert A.; Klika, Václav; Krause, Andrew L. 10 2021 A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. Zbl 1448.92212Krause, Andrew L.; Van Gorder, Robert A. 4 2020 Melting and dripping of a heated material with temperature-dependent viscosity in a thin vertical tube. Zbl 1460.80014Sloman, Benjamin M.; Please, Colin P.; Van Gorder, Robert A. 3 2020 A non-local cross-diffusion model of population dynamics I: emergent spatial and spatiotemporal patterns. Zbl 1448.92253Taylor, Nick P.; Kim, Hyunyeon; Krause, Andrew L.; Van Gorder, Robert A. 3 2020 Turing and Benjamin-Feir instability mechanisms in non-autonomous systems. Zbl 1472.35221van Gorder, Robert A. 2 2020 Modeling microsilica particle formation and growth due to the combustion reaction of silicon monoxide with oxygen. Zbl 1447.35055González-Fariña, Raquel; Münch, Andreas; Oliver, James M.; van Gorder, Robert A. 2 2020 Influence of temperature on Turing pattern formation. Zbl 1472.35410van Gorder, Robert A. 1 2020 Perturbation theory for Bose-Einstein condensates on bounded space domains. Zbl 1472.81098van Gorder, Robert A. 1 2020 Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. Zbl 1453.82047Van Gorder, Robert A.; Krause, Andrew L.; Malomed, Boris A.; Kaup, D. J. 1 2020 Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds. Zbl 1415.92034Krause, Andrew L.; Ellis, Meredith A.; Van Gorder, Robert A. 14 2019 Extended Stefan problem for solidification of binary alloys in a finite planar domain. Zbl 1419.80013Brosa Planella, Ferran; Please, Colin P.; van Gorder, Robert A. 9 2019 Diffusive instabilities and spatial patterning from the coupling of reaction-diffusion processes with Stokes flow in complex domains. Zbl 1430.76176Van Gorder, Robert A.; Kim, Hyunyeon; Krause, Andrew L. 4 2019 Homogenization of a shrinking core model for gas-solid reactions in granular particles. Zbl 1461.35029Sloman, Benjamin M.; Please, Colin P.; Van Gorder, Robert A. 4 2019 Hybrid approach to modeling spatial dynamics of systems with generalist predators. Zbl 1406.92661Fussell, Elizabeth F.; Krause, Andrew L.; Van Gorder, Robert A. 3 2019 Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. Zbl 1416.65251Van Gorder, Robert A. 2 2019 Turing instability and colony formation in spatially extended Rosenzweig-MacArthur predator-prey models with allochthonous resources. Zbl 1430.92082Zhou, Zhi; Van Gorder, Robert A. 2 2019 The role of network structure and time delay in a metapopulation Wilson-Cowan model. Zbl 1416.92007Conti, Federica; Van Gorder, Robert A. 1 2019 Amplitude death criteria for coupled complex Ginzburg-Landau systems. Zbl 1430.35221Van Gorder, Robert A.; Krause, Andrew L.; Kwiecinski, James A. 1 2019 A homogenization approach for the roasting of an array of coffee beans. Zbl 1419.80016Sachak-Patwa, Rahil; Fadai, Nabil; van Gorder, Robert A. 1 2019 Chaotic rotations of a rigid ellipsoidal body exhibiting spin-orbit misalignment in a periodic orbit. Zbl 1423.70054Kwiecinski, James A.; Biber, Stanisław W.; Van Gorder, Robert A. 1 2019 Stochastic epidemic metapopulation models on networks: SIS dynamics and control strategies. Zbl 1406.92584Krause, Andrew L.; Kurowski, Lawrence; Yawar, Kamran; Van Gorder, Robert A. 15 2018 Asymptotic analysis of a silicon furnace model. Zbl 1394.80009Sloman, Benjamin M.; Please, Colin P.; van Gorder, Robert A. 6 2018 Nonlinear dynamics of discrete time multi-level leader-follower games. Zbl 1427.91069Wu, Ruijia; Van Gorder, Robert A. 4 2018 Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays. Zbl 1397.92568Eide, Ragna M.; Krause, Andrew L.; Fadai, Nabil T.; Van Gorder, Robert A. 4 2018 Asymptotic analysis of a multiphase drying model motivated by coffee bean roasting. Zbl 1386.80005Fadai, Nabil T.; Please, Colin P.; van Gorder, Robert A. 3 2018 Instability in the self-similar motion of a planar solidification front. Zbl 1408.80004Brosa Planella, Ferran; Please, Colin P.; Van Gorder, Robert A. 2 2018 Bose-Einstein condensation under the cubic-quintic Gross-Pitaevskii equation in radial domains. Zbl 1382.35272Luckins, Ellen K.; Van Gorder, Robert A. 2 2018 Coupled complex Ginzburg-Landau systems with saturable nonlinearity and asymmetric cross-phase modulation. Zbl 1398.35222Van Gorder, Robert A.; Krause, Andrew L.; Brosa Planella, Ferran; Burton, Abigail M. 2 2018 Dynamics of nearly parallel interacting vortex filaments. Zbl 1421.76048Kwiecinski, James A.; Van Gorder, Robert A. 1 2018 Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation. Zbl 1429.65262Bakhtiari, P.; Abbasbandy, S.; Van Gorder, R. A. 1 2018 Bifurcations and dynamics emergent from lattice and continuum models of bioactive porous media. Zbl 1402.35285Krause, Andrew L.; Beliaev, Dmitry; Van Gorder, Robert A.; Waters, Sarah L. 1 2018 Chaotic dynamics in the planar gravitational many-body problem with rigid body rotations. Zbl 1390.70021Kwiecinski, James A.; Kovacs, Attila; Krause, Andrew L.; Planella, Ferran Brosa; Van Gorder, Robert A. 1 2018 Solving the Dym initial value problem in reproducing kernel space. Zbl 1393.65038Bakhtiari, P.; Abbasbandy, S.; Van Gorder, R. A. 1 2018 Understanding viral video dynamics through an epidemic modelling approach. Zbl 07549580Sachak-Patwa, Rahil; Fadai, Nabil T.; Van Gorder, Robert A. 1 2018 Two-species migration and clustering in two-dimensional domains. Zbl 1378.92058Kurowski, Lawrence; Krause, Andrew L.; Mizuguchi, Hanako; Grindrod, Peter; Van Gorder, Robert A. 7 2017 Predator-prey-subsidy population dynamics on stepping-stone domains. Zbl 1370.92148Shen, Lulan; Van Gorder, Robert A. 6 2017 Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. Zbl 1382.65459Abbasbandy, S.; van Gorder, R. A.; Bakhtiari, P. 5 2017 Multicomplex wave functions for linear and nonlinear Schrödinger equations. Zbl 1369.30065Theaker, Kyle A.; Van Gorder, Robert A. 3 2017 On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. Zbl 1375.65103Van Gorder, Robert A. 2 2017 Hyperchaos from a model of coupled stratosphere-troposphere dynamics. Zbl 1362.34073Adusumilli, Susheel; Van Gorder, Robert A. 2 2017 Asymptotic solutions for a relativistic formulation of the generalized nonextensive Thomas-Fermi model. Zbl 1364.82007Lowry, Vanessa C.; Van Gorder, Robert A. 2 2017 On the inverse problem of competitive modes and the search for chaotic dynamics. Zbl 1380.37074Ruks, Lewis; Van Gorder, Robert A. 1 2017 A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Zbl 1334.65166Bhrawy, A. H.; Zaky, M. A.; Van Gorder, R. A. 49 2016 Role of seasonality on predator-prey-subsidy population dynamics. Zbl 1343.92422Levy, Dorian; Harrington, Heather A.; Van Gorder, Robert A. 9 2016 Dynamics of the Rayleigh-plesset equation modelling a gas-filled bubble immersed in an incompressible fluid. Zbl 1383.76481Van Gorder, Robert A. 4 2016 The chaotic Dadras-Momeni system: control and hyperchaotification. Zbl 1397.49026Saberi Nik, Hassan; Van Gorder, Robert A.; Gambino, G. 4 2016 Self-similar vortex filament motion under the non-local Biot-Savart model. Zbl 1462.76007van Gorder, Robert A. 3 2016 Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. Zbl 1446.65124Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Van Gorder, Robert A. 1 2016 The variational iteration method is a special case of the homotopy analysis method. Zbl 1325.65118Van Gorder, Robert A. 10 2015 Helical vortex filament motion under the non-local Biot-Savart model. Zbl 1335.76015Van Gorder, Robert A. 5 2015 Does the Riemann zeta function satisfy a differential equation? Zbl 1382.11060Van Gorder, Robert A. 4 2015 Several types of similarity solutions for the Hunter-Saxton equation. Zbl 1319.35110Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle 3 2015 Non-local dynamics governing the self-induced motion of a planar vortex filament. Zbl 1326.76035Van Gorder, Robert A. 3 2015 The Biot-Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid. Zbl 1371.76168Van Gorder, Robert A. 2 2015 Competitive modes for the detection of chaotic parameter regimes in the general chaotic bilinear system of Lorenz type. Zbl 1314.34092Mallory, Kristina; Van Gorder, Robert A. 1 2015 Zero curvature representation, bi-Hamiltonian structure, and an integrable hierarchy for the Zakharov-Ito system. Zbl 1318.37012Baxter, Mathew; Choudhury, S. Roy; Van Gorder, Robert A. 1 2015 Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Itô system. Zbl 1457.35050Abbasbandy, S.; Van Gorder, R. A.; Hajiketabi, M.; Mesrizadeh, M. 1 2015 Bounds, monotonicity, uniqueness, and analytical calculation of a class of similarity solutions for the fluid flow over a nonlinearly stretching sheet. Zbl 1323.34034van Gorder, Robert A. 1 2015 Translation of waves along quantum vortex filaments in the low-temperature two-dimensional local induction approximation. Zbl 1326.82026Van Gorder, Robert A. 1 2015 Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. Zbl 1349.65511Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Van Gorder, Robert A. 39 2014 Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. Zbl 1299.76025Mallory, Kristina; Van Gorder, Robert A. 12 2014 A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval. Zbl 1308.85006Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.; van Gorder, Robert A. 12 2014 The Cauchy problem for complex fuzzy differential equations. Zbl 1315.35227Karpenko, Daria; Van Gorder, Robert A.; Kandel, Abraham 7 2014 On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Zbl 1293.65137Baxter, Mathew; van Gorder, Robert A.; Vajravelu, Kuppalapalle 5 2014 General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation. Zbl 1321.82041Van Gorder, Robert A. 4 2014 Stability of auxiliary linear operator and convergence-control parameter in the homotopy analysis method. Zbl 1308.35018Van Gorder, Robert A. 4 2014 Method for constructing analytical solutions to the Dym initial value problem. Zbl 1354.35131Mallory, Kristina; Van Gorder, Robert A. 3 2014 Response to “Comment on ‘Motion of a helical vortex filament in superfluid \(^{4}\)He under the extrinsic form of the local induction approximation{’}” [Phys. Fluids 26, Paper No. 019101 (2014)]. Zbl 1321.76016Van Gorder, Robert A. 3 2014 Exact and analytical solutions for a nonlinear sigma model. Zbl 1383.35187Baxter, Mathew; Van Gorder, Robert A. 3 2014 A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability. Zbl 1311.92072Mallory, Kristina; Van Gorder, Robert A. 3 2014 Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance. Zbl 1423.85007Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. 3 2014 An efficient collocation method for a class of boundary value problems arising in mathematical physics and geometry. Zbl 1470.65141Bhrawy, A. H.; Alofi, A. S.; Van Gorder, R. A. 3 2014 Hybrid projective synchronization and control of the baier-sahle hyperchaotic flow in arbitrary dimensions with unknown parameters. Zbl 1338.93304Saberi Nik, H.; Saberi-Nadjafi, J.; Effati, S.; van Gorder, R. A. 2 2014 Decay of helical Kelvin waves on a quantum vortex filament. Zbl 1323.82056Van Gorder, Robert A. 2 2014 Classification of two types of weak solutions to the Casimir equation for the Itō system. Zbl 1298.35171Haussermann, John; van Gorder, Robert A. 2 2014 Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model. Zbl 1331.92061Li, Ronald; van Gorder, Robert A.; Mallory, Kristina; Vajravelu, Kuppalapalle 1 2014 Response to “Comment on ‘General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation{’}” [Phys. Fluids 26, Paper No. 119101 (2014)]. Zbl 1323.82057Van Gorder, Robert A. 1 2014 Several classes of exact solutions to the 1+1 Born-Infeld equation. Zbl 1457.78004Mallory, Kristina; Van Gorder, Robert A.; Vajravelu, Kuppalapalle 1 2014 Computing semi-commuting differential operators in one and multiple variables. Zbl 1312.13031Van Gorder, Robert A. 1 2014 Shil’nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere. Zbl 1284.37022Van Gorder, Robert A. 12 2013 Competitive modes for the Baier-Sahle hyperchaotic flow in arbitrary dimensions. Zbl 1279.34063Saberi Nik, Hassan; van Gorder, Robert A. 11 2013 Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. Zbl 1286.65139Russo, Matthew; Van Gorder, Robert A. 9 2013 Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. Zbl 1283.65090Mallory, Kristina; Van Gorder, Robert A. 8 2013 Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Zbl 1284.91057Snyder, Brooke C.; Van Gorder, Robert A.; Vajravelu, K. 8 2013 Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere. Zbl 1284.80008Reger, K.; Van Gorder, R. A. 8 2013 Self-similar vortex dynamics in superfluid \(^{4}He\) under the Cartesian representation of the Hall-Vinen model including superfluid friction. Zbl 1320.76015Van Gorder, Robert A. 6 2013 Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. Zbl 1277.35102Russo, Matthew; Van Gorder, Robert A.; Choudhury, S. Roy 5 2013 Motion of a helical vortex filament in superfluid \(^{4}He\) under the extrinsic form of the local induction approximation. Zbl 1320.76028Van Gorder, Robert A. 5 2013 Exact and analytic solutions of the ernst equation governing axially symmetric stationary vacuum gravitational fields. Zbl 1266.83017Baxter, Mathew; Van Gorder, Robert A. 3 2013 Chemically reactive solute transfer in a moving fluid over a moving surface. Zbl 1401.76162Mukhopadhyay, Swati; Vajravelu, Kuppalapalle; Van Gorder, Robert A. 2 2013 A multicomplex Riemann zeta function. Zbl 1262.30058Reid, Frederick Lyall; Van Gorder, Robert A. 2 2013 Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations. Zbl 1293.34018Theaker, Kyle A.; Van Gorder, Robert A. 1 2013 Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method. Zbl 1243.35163Van Gorder, Robert A. 18 2012 Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. Zbl 1257.65063Van Gorder, Robert A. 18 2012 Nonlinear flow phenomena and homotopy analysis. Fluid flow and heat transfer. Zbl 1277.35005Vajravelu, Kuppalapalle; Van Gorder, Robert A. 15 2012 Hydromagnetic stagnation point flow of a viscous fluid over a stretching or shrinking sheet. Zbl 1293.76179van Gorder, Robert A.; Vajravelu, K.; Pop, I. 9 2012 Fully nonlinear local induction equation describing the motion of a vortex filament in superfluid \({^4}\)He. Zbl 1275.76042Van Gorder, Robert A. 8 2012 Traveling wave solutions of the \(n\)-dimensional coupled Yukawa equations. Zbl 1246.35170Van Gorder, Robert A. 5 2012 Chaotic regimes, post-bifurcation dynamics, and competitive modes for a generalized double Hopf normal form. Zbl 1258.34082Reeves, Brandon; Van Gorder, Robert A.; Choudhury, S. Roy 5 2012 Motion of a vortex filament in the local induction approximation: a perturbative approach. Zbl 1291.76075van Gorder, Robert A. 4 2012 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 892 Authors 103 van Gorder, Robert Ashton 34 Bhrawy, Ali Hassan 29 Vajravelu, Kuppalapalle 17 Abbasbandy, Saeid 16 Ahmad, Bashir 15 Abdelkawy, Mohamed A. 14 Băleanu, Dumitru I. 13 Krause, Andrew L. 12 Al-saedi, Ahmed Eid Salem 12 Liao, Shijun 11 Doha, Eid H. 10 Hafez, Ramy Mahmoud 10 Zaky, Mahmoud A. 8 Ntouyas, Sotiris K. 6 Das, Kalidas 6 Ellahi, Rahmat 6 Hayat, Tasawar 6 Motsa, Sandile Sydney 6 Please, Colin P. 6 Pop, Ioan 5 Agarwal, Ravi P. 5 Dewasurendra, Mangalagama 5 Mahapatra, Tapas Ray 5 Mallory, Kristina 5 Nandy, Samir Kumar 5 Sibanda, Precious 5 Sweet, Erik W. 4 Alghamdi, Mohammed Ali 4 Baxter, Mathew 4 Dehghan Takht Fooladi, Mehdi 4 Ezz-Eldien, Samer S. 4 Hashim, Ishak 4 Klika, Václav 4 Liang, Songxin 4 Owolabi, Kolade Matthew 4 Qin, Yupeng 4 Shivanian, Elyas 4 Simpson, Matthew J. 4 Sloman, Benjamin M. 4 Turkyilmazoglu, Mustafa 4 Zou, Li 3 Alofi, Abdulaziz Saleem Moslem 3 Alsulami, Mona 3 Aly, Emad H. 3 Alzaidy, Jameel F. 3 Amin, Ahmed Z. M. 3 Babolian, Esmail 3 Bakhtiari, Parisa 3 Das, Subir K. 3 Ebaid, Abdelhalim 3 Effati, Sohrab 3 Fadai, Nabil T. 3 Gaffney, Eamonn A. 3 Haussermann, John 3 Kundu, Prabir Kumar 3 Kwiecinski, James A. 3 Lakestani, Mehrdad 3 Lopes, António M. 3 Odibat, Zaid M. 3 Oliver, James M. 3 Saberi Nik, Hassan 3 Sabir, Zulqurnain 3 Singh, Randhir 3 Wang, Zhen 3 Woolley, Thomas E. 3 Wu, Boying 3 Wu, Ranchao 3 Yin, George Gang 3 Zheng, Liancun 2 Abbaszadeh, Mostafa 2 Ahmad, Fayyaz 2 Alam Khan, Najeeb 2 Almusawa, Hassan 2 Alsulami, Hamed Hamdan 2 Assas, Laila M. B. 2 Atangana, Abdon 2 Awad, Faiz Gadelmola 2 Aydinlik, Soner 2 Baseri, A. 2 Belić, Milivoj R. 2 Bellout, Hamid 2 Bianco Prado, Bernardo 2 Biswas, Anjan 2 Chen, Lizhen 2 Choudhury, Sudipto Roy 2 Dias, Frédéric 2 Du, Mingjing 2 Duari, Pinaki Ranjan 2 Feng, Tao 2 García Guirao, Juan Luis 2 Ghoshal, Koeli 2 Hänninen, Risto 2 Hashemi, Mir Sajjad 2 Hietala, Niklas 2 Jeffrey, David J. 2 Juman, Z. A. M. S. 2 Khan, Masood Amjad 2 Khuri, Suheil A. 2 Kim, Hyunyeon 2 Klinger-Logan, Kim ...and 792 more Authors all top 5 Cited in 155 Serials 40 Applied Mathematics and Computation 28 Numerical Algorithms 25 Communications in Nonlinear Science and Numerical Simulation 20 Abstract and Applied Analysis 19 Nonlinear Dynamics 18 Advances in Difference Equations 12 Journal of Fluid Mechanics 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Computers & Mathematics with Applications 10 Bulletin of Mathematical Biology 10 Chaos, Solitons and Fractals 10 Applied Mathematical Modelling 10 Physics of Fluids 10 Computational and Applied Mathematics 10 International Journal of Applied and Computational Mathematics 8 Mathematical Methods in the Applied Sciences 8 Meccanica 8 Applied Numerical Mathematics 8 Boundary Value Problems 7 Complexity 7 Advances in Mathematical Physics 7 AIMS Mathematics 6 Journal of Computational and Applied Mathematics 6 Applied Mathematics Letters 6 Journal of Mathematical Chemistry 6 Mathematical Problems in Engineering 6 Nonlinear Analysis. 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Modelling and Control 2 Discrete and Continuous Dynamical Systems. Series B 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 2 Mediterranean Journal of Mathematics 2 Dynamic Games and Applications 2 Afrika Matematika 2 Journal of Function Spaces 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing ...and 55 more Serials all top 5 Cited in 41 Fields 206 Numerical analysis (65-XX) 195 Partial differential equations (35-XX) 151 Ordinary differential equations (34-XX) 132 Fluid mechanics (76-XX) 65 Biology and other natural sciences (92-XX) 41 Classical thermodynamics, heat transfer (80-XX) 38 Dynamical systems and ergodic theory (37-XX) 26 Real functions (26-XX) 18 Operator theory (47-XX) 18 Mechanics of deformable solids (74-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Integral equations (45-XX) 14 Systems theory; control (93-XX) 13 Probability theory and stochastic processes (60-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 10 Special functions (33-XX) 8 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Astronomy and astrophysics (85-XX) 4 Operations research, mathematical programming (90-XX) 3 Sequences, series, summability (40-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year