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Robert A. Van Gorder
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2020 – today
- 2021
- [j57]Robert A. Van Gorder
, Alissa Kamilova, Rolf G. Birkeland, Andrew L. Krause
:
Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model. SIAM J. Appl. Math. 81(4): 1691-1716 (2021) - 2020
- [j56]Robert A. Van Gorder
, Andrew L. Krause
, Boris A. Malomed, D. J. Kaup:
Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. Commun. Nonlinear Sci. Numer. Simul. 85: 105244 (2020) - [j55]Raquel González-Fariña
, Andreas Münch, James M. Oliver, Robert A. Van Gorder
:
Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen. SIAM J. Appl. Math. 80(2): 1003-1033 (2020)
2010 – 2019
- 2019
- [j54]James A. Kwiecinski
, Stanislaw W. Biber
, Robert A. Van Gorder:
Chaotic Rotations of a Rigid Ellipsoidal Body Exhibiting Spin-Orbit Misalignment in a Periodic Orbit. Int. J. Bifurc. Chaos 29(7): 1930018:1-1930018:14 (2019) - [j53]Robert A. Van Gorder
:
Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. Numer. Algorithms 81(1): 181-196 (2019) - [j52]Benjamin M. Sloman, Colin P. Please
, Robert A. Van Gorder
:
Homogenization of a Shrinking Core Model for Gas-Solid Reactions in Granular Particles. SIAM J. Appl. Math. 79(1): 177-206 (2019) - [j51]Ferran Brosa Planella
, Colin P. Please
, Robert A. Van Gorder:
Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain. SIAM J. Appl. Math. 79(3): 876-913 (2019) - [j50]Rahil Sachak-Patwa, Nabil T. Fadai, Robert A. Van Gorder
:
A Homogenization Approach for the Roasting of an Array of Coffee Beans. SIAM J. Appl. Math. 79(4): 1550-1580 (2019) - 2018
- [j49]Ruijia Wu
, Robert A. Van Gorder:
Nonlinear dynamics of discrete time multi-level leader-follower games. Appl. Math. Comput. 320: 240-250 (2018) - [j48]Parisa Bakhtiari, Saeid Abbasbandy
, Robert A. Van Gorder
:
Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation. Appl. Math. Comput. 339: 132-143 (2018) - [j47]James A. Kwiecinski
, Attila Kovács, Andrew L. Krause
, Ferran Brosa Planella
, Robert A. Van Gorder
:
Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations. Int. J. Bifurc. Chaos 28(5): 1830013:1-1830013:19 (2018) - [j46]Andrew L. Krause
, Dmitry Beliaev
, Robert A. Van Gorder
, Sarah L. Waters
:
Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media. Int. J. Bifurc. Chaos 28(11): 1830037:1-1830037:27 (2018) - [j45]Parisa Bakhtiari, Saeid Abbasbandy
, Robert A. Van Gorder:
Solving the Dym initial value problem in reproducing kernel space. Numer. Algorithms 78(2): 405-421 (2018) - [j44]Nabil T. Fadai
, Colin P. Please
, Robert A. Van Gorder:
Asymptotic Analysis of a Multiphase Drying Model Motivated By Coffee Bean Roasting. SIAM J. Appl. Math. 78(1): 418-436 (2018) - [j43]Benjamin M. Sloman, Colin P. Please
, Robert A. Van Gorder
:
Asymptotic Analysis of a Silicon Furnace Model. SIAM J. Appl. Math. 78(2): 1174-1205 (2018) - 2017
- [j42]Susheel Adusumilli, Robert A. Van Gorder:
Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics. Int. J. Bifurc. Chaos 27(2): 1730007:1-1730007:12 (2017) - [j41]Lewis Ruks, Robert A. Van Gorder
:
On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics. Int. J. Bifurc. Chaos 27(10): 1730032:1-1730032:18 (2017) - [j40]Saeid Abbasbandy
, Robert A. Van Gorder, Parisa Bakhtiari:
Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. J. Comput. Appl. Math. 311: 262-271 (2017) - [j39]Robert A. Van Gorder:
On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. Numer. Algorithms 76(1): 151-162 (2017) - [i1]X. Flora Meng, Robert A. Van Gorder, Mason A. Porter:
Opinion formation and distribution in a bounded confidence model on various networks. CoRR abs/1701.02070 (2017) - 2016
- [j38]Hassan Saberi Nik, Robert A. Van Gorder, Gaetana Gambino
:
The chaotic Dadras-Momeni system: control and hyperchaotification. IMA J. Math. Control. Inf. 33(2): 497-518 (2016) - [j37]D. J. Kaup, Robert A. Van Gorder:
Resonant solitons from the 3 × 3 operator. Math. Comput. Simul. 127: 131-150 (2016) - [j36]Ali H. Bhrawy, Mahmoud A. Zaky
, Robert A. Van Gorder:
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. Numer. Algorithms 71(1): 151-180 (2016) - 2015
- [j35]Robert A. Van Gorder:
The variational iteration method is a special case of the homotopy analysis method. Appl. Math. Lett. 45: 81-85 (2015) - [j34]Saeid Abbasbandy, Robert A. Van Gorder, Mohammad Hajiketabi
, M. Mesrizadeh:
Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Ito system. Commun. Nonlinear Sci. Numer. Simul. 27(Issues): 254-262 (2015) - [j33]Kristina Mallory, Robert A. Van Gorder:
Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type. Int. J. Bifurc. Chaos 25(4): 1530012:1-1530012:32 (2015) - [j32]John Haussermann, Robert A. Van Gorder:
Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. Numer. Algorithms 70(2): 227-248 (2015) - 2014
- [j31]Kristina Mallory, Robert A. Van Gorder:
Method for constructing analytical solutions to the Dym initial value problem. Appl. Math. Comput. 226: 67-82 (2014) - [j30]Hassan Saberi Nik, Jafar Saberi-Nadjafi, Sohrab Effati
, Robert A. Van Gorder:
Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters. Appl. Math. Comput. 248: 55-69 (2014) - [j29]Kristina Mallory, Robert A. Van Gorder, Kuppalapalle Vajravelu:
Several classes of exact solutions to the 1 + 1 Born-Infeld equation. Commun. Nonlinear Sci. Numer. Simul. 19(6): 1669-1674 (2014) - [j28]Daria Karpenko, Robert A. Van Gorder, Abraham Kandel:
The Cauchy problem for complex fuzzy differential equations. Fuzzy Sets Syst. 245: 18-29 (2014) - [j27]Eid H. Doha
, Ali H. Bhrawy, Mohamed A. Abdelkawy
, Robert A. Van Gorder:
Jacobi-Gauss-Lobatto collocation method for the numerical solution of l+l nonlinear Schrödinger equations. J. Comput. Phys. 261: 244-255 (2014) - [j26]Mathew Baxter, Robert A. Van Gorder, Kuppalapalle Vajravelu:
On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. Numer. Algorithms 66(2): 269-298 (2014) - [j25]Kristina Mallory, Robert A. Van Gorder:
Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. Numer. Algorithms 66(4): 843-863 (2014) - 2013
- [j24]Brooke C. Snyder, Robert A. Van Gorder, K. Vajravelu:
Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. Appl. Math. Comput. 219(12): 6400-6409 (2013) - [j23]Matthew Russo
, Robert A. Van Gorder:
Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. Appl. Math. Comput. 219(12): 6494-6509 (2013) - [j22]Kyle A. Theaker, Robert A. Van Gorder:
Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations. Appl. Math. Comput. 219(16): 8525-8541 (2013) - [j21]Matthew Russo
, Robert A. Van Gorder, S. Roy Choudhury:
Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. Commun. Nonlinear Sci. Numer. Simul. 18(7): 1623-1634 (2013) - [j20]Kristina Mallory, Robert A. Van Gorder:
Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. Numer. Algorithms 64(4): 633-657 (2013) - 2012
- [j19]Erik Sweet, Robert A. Van Gorder:
Traveling wave solutions (u, ν) to a generalized Drinfel'd-Sokolov system which satisfy u=a1vm+a0. Appl. Math. Comput. 218(19): 9911-9921 (2012) - [j18]John Haussermann, Robert A. Van Gorder:
Asymptotic solutions for singularly perturbed Boussinesq equations. Appl. Math. Comput. 218(20): 10238-10243 (2012) - [j17]Jessica Hearns, Robert A. Van Gorder, S. Roy Choudhury:
Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions. Appl. Math. Comput. 219(6): 3055-3064 (2012) - [j16]Robert A. Van Gorder:
Traveling wave solutions of the n-dimensional coupled Yukawa equations. Appl. Math. Lett. 25(8): 1106-1110 (2012) - [j15]Brandon Reeves, Robert A. Van Gorder, S. Roy Choudhury:
Chaotic Regimes, Post-bifurcation Dynamics, and Competitive Modes for a generalized Double Hopf Normal Form. Int. J. Bifurc. Chaos 22(12) (2012) - [j14]Robert A. Van Gorder:
Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. Numer. Algorithms 61(4): 613-629 (2012) - 2011
- [j13]Robert A. Van Gorder, K. Vajravelu:
Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. Appl. Math. Comput. 217(12): 5810-5821 (2011) - [j12]Robert A. Van Gorder:
Analysis of nonlinear BVPs motivated by fluid film flow over a surface. Appl. Math. Comput. 217(20): 8068-8079 (2011) - [j11]Robert A. Van Gorder:
Computing the region of convergence for power series in many real variables: A ratio-like test. Appl. Math. Comput. 218(5): 2310-2317 (2011) - [j10]Robert A. Van Gorder, K. Vajravelu, Fahir Talay Akyildiz:
Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Appl. Math. Lett. 24(2): 238-242 (2011) - 2010
- [j9]Fahir Talay Akyildiz, Dennis A. Siginer, K. Vajravelu, Robert A. Van Gorder:
Analytical and numerical results for the Swift-Hohenberg equation. Appl. Math. Comput. 216(1): 221-226 (2010) - [j8]Robert A. Van Gorder, Erik Sweet, K. Vajravelu:
Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. Appl. Math. Comput. 216(5): 1513-1523 (2010) - [j7]Robert A. Van Gorder:
High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet. Appl. Math. Comput. 216(7): 2177-2182 (2010) - [j6]Erik Sweet, Robert A. Van Gorder:
Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6. Appl. Math. Comput. 216(10): 2783-2791 (2010) - [j5]Robert A. Van Gorder, K. Vajravelu:
A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Appl. Math. Comput. 217(2): 460-465 (2010) - [j4]Erik Sweet, Robert A. Van Gorder:
Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation. Appl. Math. Comput. 217(8): 4147-4166 (2010) - [j3]Robert A. Van Gorder, S. Roy Choudhury:
Classification of Chaotic Regimes in the T System by Use of Competitive Modes. Int. J. Bifurc. Chaos 20(11): 3785-3793 (2010)
2000 – 2009
- 2009
- [j2]Fahir Talay Akyildiz, K. Vajravelu, Ram N. Mohapatra
, Erik Sweet, Robert A. Van Gorder:
Implicit differential equation arising in the steady flow of a Sisko fluid. Appl. Math. Comput. 210(1): 189-196 (2009) - [j1]Robert A. Van Gorder:
Computation of certain infinite series of the form Sigma f(n)nk for arbitrary real-valued k. Appl. Math. Comput. 215(3): 1209-1216 (2009)
Coauthor Index
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