Robert A. Van Gorder

58 papers Journal 58

Year	Rank	Type	Title / Venue / Authors
2021	J	`jnl`	Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model. SIAM J. Appl. Math. Robert A. Van Gorder, Alissa Kamilova, Rolf G. Birkeland, Andrew L. Krause
2020	J	`jnl`	Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen. SIAM J. Appl. Math. Raquel González-Fariña, Andreas Münch, James M. Oliver, Robert A. Van Gorder
2020	J	`jnl`	Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. Commun. Nonlinear Sci. Numer. Simul. Robert A. Van Gorder, Andrew L. Krause, Boris A. Malomed, D. J. Kaup
2019	J	`jnl`	A Homogenization Approach for the Roasting of an Array of Coffee Beans. SIAM J. Appl. Math. Rahil Sachak-Patwa, Nabil T. Fadai, Robert A. Van Gorder
2019	J	`jnl`	Chaotic Rotations of a Rigid Ellipsoidal Body Exhibiting Spin-Orbit Misalignment in a Periodic Orbit. Int. J. Bifurc. Chaos James A. Kwiecinski, Stanislaw W. Biber, Robert A. Van Gorder
2019	J	`jnl`	Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain. SIAM J. Appl. Math. Ferran Brosa Planella, Colin P. Please, Robert A. Van Gorder
2019	J	`jnl`	Homogenization of a Shrinking Core Model for Gas-Solid Reactions in Granular Particles. SIAM J. Appl. Math. Benjamin M. Sloman, Colin P. Please, Robert A. Van Gorder
2019	J	`jnl`	Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. Numer. Algorithms Robert A. Van Gorder
2018	J	`jnl`	Asymptotic Analysis of a Multiphase Drying Model Motivated By Coffee Bean Roasting. SIAM J. Appl. Math. Nabil T. Fadai, Colin P. Please, Robert A. Van Gorder
2018	J	`jnl`	Asymptotic Analysis of a Silicon Furnace Model. SIAM J. Appl. Math. Benjamin M. Sloman, Colin P. Please, Robert A. Van Gorder
2018	J	`jnl`	Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media. Int. J. Bifurc. Chaos Andrew L. Krause, Dmitry Beliaev, Robert A. Van Gorder, Sarah L. Waters
2018	J	`jnl`	Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations. Int. J. Bifurc. Chaos James A. Kwiecinski, Attila Kovács, Andrew L. Krause, Ferran Brosa Planella, Robert A. Van Gorder
2018	J	`jnl`	Nonlinear dynamics of discrete time multi-level leader-follower games. Appl. Math. Comput. Ruijia Wu, Robert A. Van Gorder
2018	J	`jnl`	Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation. Appl. Math. Comput. Parisa Bakhtiari, Saeid Abbasbandy, Robert A. Van Gorder
2018	J	`jnl`	Solving the Dym initial value problem in reproducing kernel space. Numer. Algorithms Parisa Bakhtiari, Saeid Abbasbandy, Robert A. Van Gorder
2017	J	`jnl`	Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics. Int. J. Bifurc. Chaos Susheel Adusumilli, Robert A. Van Gorder
2017	J	`jnl`	On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics. Int. J. Bifurc. Chaos Lewis Ruks, Robert A. Van Gorder
2017	J	`jnl`	On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. Numer. Algorithms Robert A. Van Gorder
2017	J	`jnl`	Opinion formation and distribution in a bounded confidence model on various networks. CoRR X. Flora Meng, Robert A. Van Gorder, Mason A. Porter
2017	J	`jnl`	Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. J. Comput. Appl. Math. Saeid Abbasbandy, Robert A. Van Gorder, Parisa Bakhtiari
2016	J	`jnl`	A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Numer. Algorithms Ali H. Bhrawy, Mahmoud A. Zaky, Robert A. Van Gorder
2016	J	`jnl`	Resonant solitons from the 3 × 3 operator. Math. Comput. Simul. D. J. Kaup, Robert A. Van Gorder
2016	J	`jnl`	The chaotic Dadras-Momeni system: control and hyperchaotification. IMA J. Math. Control. Inf. Hassan Saberi Nik, Robert A. Van Gorder, Gaetana Gambino
2015	J	`jnl`	Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type. Int. J. Bifurc. Chaos Kristina Mallory, Robert A. Van Gorder
2015	J	`jnl`	Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. Numer. Algorithms John Haussermann, Robert A. Van Gorder
2015	J	`jnl`	Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Ito system. Commun. Nonlinear Sci. Numer. Simul. Saeid Abbasbandy, Robert A. Van Gorder, Mohammad Hajiketabi, M. Mesrizadeh
2015	J	`jnl`	The variational iteration method is a special case of the homotopy analysis method. Appl. Math. Lett. Robert A. Van Gorder
2014	J	`jnl`	Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters. Appl. Math. Comput. Hassan Saberi Nik, Jafar Saberi-Nadjafi, Sohrab Effati, Robert A. Van Gorder
2014	J	`jnl`	Jacobi-Gauss-Lobatto collocation method for the numerical solution of l+l nonlinear Schrödinger equations. J. Comput. Phys. Eid H. Doha, Ali H. Bhrawy, Mohamed A. Abdelkawy, Robert A. Van Gorder
2014	J	`jnl`	Method for constructing analytical solutions to the Dym initial value problem. Appl. Math. Comput. Kristina Mallory, Robert A. Van Gorder
2014	J	`jnl`	On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Numer. Algorithms Mathew Baxter, Robert A. Van Gorder, Kuppalapalle Vajravelu
2014	J	`jnl`	Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. Numer. Algorithms Kristina Mallory, Robert A. Van Gorder
2014	J	`jnl`	Several classes of exact solutions to the 1 + 1 Born-Infeld equation. Commun. Nonlinear Sci. Numer. Simul. Kristina Mallory, Robert A. Van Gorder, Kuppalapalle Vajravelu
2014	J	`jnl`	The Cauchy problem for complex fuzzy differential equations. Fuzzy Sets Syst. Daria Karpenko, Robert A. Van Gorder, Abraham Kandel
2013	J	`jnl`	Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Appl. Math. Comput. Brooke C. Snyder, Robert A. Van Gorder, K. Vajravelu
2013	J	`jnl`	Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. Appl. Math. Comput. Matthew Russo, Robert A. Van Gorder
2013	J	`jnl`	Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. Numer. Algorithms Kristina Mallory, Robert A. Van Gorder
2013	J	`jnl`	Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations. Appl. Math. Comput. Kyle A. Theaker, Robert A. Van Gorder
2013	J	`jnl`	Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. Commun. Nonlinear Sci. Numer. Simul. Matthew Russo, Robert A. Van Gorder, S. Roy Choudhury
2012	J	`jnl`	Asymptotic solutions for singularly perturbed Boussinesq equations. Appl. Math. Comput. John Haussermann, Robert A. Van Gorder
2012	J	`jnl`	Chaotic Regimes, Post-bifurcation Dynamics, and Competitive Modes for a generalized Double Hopf Normal Form. Int. J. Bifurc. Chaos Brandon Reeves, Robert A. Van Gorder, S. Roy Choudhury
2012	J	`jnl`	Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. Numer. Algorithms Robert A. Van Gorder
2012	J	`jnl`	Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions. Appl. Math. Comput. Jessica Hearns, Robert A. Van Gorder, S. Roy Choudhury
2012	J	`jnl`	Traveling wave solutions (u, ν) to a generalized Drinfel'd-Sokolov system which satisfy u=a Appl. Math. Comput. Erik Sweet, Robert A. Van Gorder
2012	J	`jnl`	Traveling wave solutions of the n-dimensional coupled Yukawa equations. Appl. Math. Lett. Robert A. Van Gorder
2011	J	`jnl`	Analysis of nonlinear BVPs motivated by fluid film flow over a surface. Appl. Math. Comput. Robert A. Van Gorder
2011	J	`jnl`	Computing the region of convergence for power series in many real variables: A ratio-like test. Appl. Math. Comput. Robert A. Van Gorder
2011	J	`jnl`	Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. Appl. Math. Comput. Robert A. Van Gorder, K. Vajravelu
2011	J	`jnl`	Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Appl. Math. Lett. Robert A. Van Gorder, K. Vajravelu, Fahir Talay Akyildiz
2010	J	`jnl`	A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Appl. Math. Comput. Robert A. Van Gorder, K. Vajravelu
2010	J	`jnl`	Analytical and numerical results for the Swift-Hohenberg equation. Appl. Math. Comput. Fahir Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, Robert A. Van Gorder
2010	J	`jnl`	Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. Appl. Math. Comput. Robert A. Van Gorder, Erik Sweet, K. Vajravelu
2010	J	`jnl`	Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6. Appl. Math. Comput. Erik Sweet, Robert A. Van Gorder
2010	J	`jnl`	Classification of Chaotic Regimes in the T System by Use of Competitive Modes. Int. J. Bifurc. Chaos Robert A. Van Gorder, S. Roy Choudhury
2010	J	`jnl`	High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet. Appl. Math. Comput. Robert A. Van Gorder
2010	J	`jnl`	Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation. Appl. Math. Comput. Erik Sweet, Robert A. Van Gorder
2009	J	`jnl`	Computation of certain infinite series of the form Sigma f(n)n Appl. Math. Comput. Robert A. Van Gorder
2009	J	`jnl`	Implicit differential equation arising in the steady flow of a Sisko fluid. Appl. Math. Comput. Fahir Talay Akyildiz, K. Vajravelu, Ram N. Mohapatra, Erik Sweet, Robert A. Van Gorder