Qin Sheng - Publications

Affiliations: 
University of Louisiana at Lafayette, Lafayette, LA, United States 
Area:
Mathematics

73 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Zhu L, Sheng Q. A note on the adaptive numerical solution of a Riemann–Liouville space-fractional Kawarada problem Journal of Computational and Applied Mathematics. 374: 112714. DOI: 10.1016/J.Cam.2020.112714  0.431
2019 Li B, Zhu T, Wang A, Kirsten K, Cleaver G, Sheng Q. Preinflationary perturbations from the closed algebra approach in loop quantum cosmology Physical Review D. 99: 103536. DOI: 10.1103/Physrevd.99.103536  0.376
2019 Jones TN, Sheng Q. Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions Journal of Computational Physics. 392: 403-418. DOI: 10.1016/J.Jcp.2019.04.046  0.453
2019 Jones T, Sheng Q. Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations Journal of Computational and Applied Mathematics. 354: 334-347. DOI: 10.1016/J.Cam.2018.03.031  0.469
2018 Zhu T, Wang A, Kirsten K, Cleaver G, Sheng Q. Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology Physical Review D. 97: 43501. DOI: 10.1103/Physrevd.97.043501  0.304
2018 Xu Y, Sun H, Sheng Q. On variational properties of balanced central fractional derivatives International Journal of Computer Mathematics. 95: 1195-1209. DOI: 10.1080/00207160.2017.1398324  0.402
2018 Padgett JL, Sheng Q. Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach Applied Mathematics and Computation. 325: 210-226. DOI: 10.1016/J.Amc.2017.12.034  0.509
2018 Ge Y, Cai Z, Sheng Q. A compact adaptive approach for degenerate singular reaction-diffusion equations Numerical Methods For Partial Differential Equations. 34: 1166-1187. DOI: 10.1002/Num.22250  0.357
2017 Henderson J, Sheng Q, Tisdell CC. Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods Differential Equations and Applications. 57-68. DOI: 10.7153/Dea-09-05  0.349
2017 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q. Pre-inflationary universe in loop quantum cosmology Physical Review D. 96: 83520. DOI: 10.1103/Physrevd.96.083520  0.35
2017 Zhu T, Wang A, Kirsten K, Cleaver G, Sheng Q. Universal features of quantum bounce in loop quantum cosmology Physics Letters B. 773: 196-202. DOI: 10.1016/J.Physletb.2017.08.025  0.319
2017 Padgett JL, Sheng Q. Nonuniform Crank‐Nicolson scheme for solving the stochastic Kawarada equation via arbitrary grids Numerical Methods For Partial Differential Equations. 33: 1305-1328. DOI: 10.1002/Num.22144  0.52
2016 Zhu T, Wang A, Kirsten K, Cleaver G, Sheng Q. High-order primordial perturbations with quantum gravitational effects Physical Review D - Particles, Fields, Gravitation and Cosmology. 93. DOI: 10.1103/Physrevd.93.123525  0.412
2016 Zhu T, Wang A, Kirsten K, Cleaver G, Sheng Q, Wu Q. Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data Journal of Cosmology and Astroparticle Physics. 2016: 46-46. DOI: 10.1088/1475-7516/2016/03/046  0.335
2016 Padgett JL, Sheng Q. On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations Journal of Mathematical Analysis and Applications. 439: 465-480. DOI: 10.1016/J.Jmaa.2016.02.071  0.525
2016 Sheng Q, Sun H. Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids Journal of Computational Physics. 325: 259-271. DOI: 10.1016/J.Jcp.2016.08.040  0.441
2016 Khaliq AQM, Ku J, Sheng Q. Recent advances in numerical methods for systems of partial differential equations Journal of Computational and Applied Mathematics. 299: 1. DOI: 10.1016/J.Cam.2015.12.001  0.419
2016 Sheng Q, Wo W. Symmetry analysis and interaction solutions for the (2+1)-dimensional Kaup-Kupershmidt system Applied Mathematics Letters. 58: 165-171. DOI: 10.1016/j.aml.2016.02.021  0.336
2016 Li H, Wang Y, Sheng Q. An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations Numerical Methods For Partial Differential Equations. 32: 1485-1504. DOI: 10.1002/Num.22062  0.488
2015 Sheng Q. ADI, LOD and modern decomposition methods for certain multiphysics applications Journal of Algorithms and Computational Technology. 9: 105-120. DOI: 10.1260/1748-3018.9.1.105  0.376
2015 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q, Wu Q. DETECTING QUANTUM GRAVITATIONAL EFFECTS OF LOOP QUANTUM COSMOLOGY IN THE EARLY UNIVERSE? Astrophysical Journal Letters. 807. DOI: 10.1088/2041-8205/807/1/L17  0.313
2015 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q, Wu Q. Scalar and tensor perturbations in loop quantum cosmology: High-order corrections Journal of Cosmology and Astroparticle Physics. 2015. DOI: 10.1088/1475-7516/2015/10/052  0.373
2015 Jones T, Gonzalez LP, Guha S, Sheng Q. A continuing exploration of a decomposed compact method for highly oscillatory wave problems Journal of Computational and Applied Mathematics. DOI: 10.1016/J.Cam.2015.11.044  0.466
2015 Meng QJ, Ding D, Sheng Q. Preconditioned iterative methods for fractional diffusion models in finance Numerical Methods For Partial Differential Equations. 31: 1382-1395. DOI: 10.1002/num.21948  0.378
2014 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q. Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations International Journal of Modern Physics A. 29. DOI: 10.1142/S0217751X14501425  0.418
2014 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q. Power spectra and spectral indices of k-inflation: High-order corrections Physical Review D - Particles, Fields, Gravitation and Cosmology. 90. DOI: 10.1103/Physrevd.90.103517  0.384
2014 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q. Gravitational quantum effects on power spectra and spectral indices with higher-order corrections Physical Review D - Particles, Fields, Gravitation and Cosmology. 90. DOI: 10.1103/Physrevd.90.063503  0.389
2014 Zhu T, Wang A, Cleaver G, Kirsten K, Sheng Q. Inflationary cosmology with nonlinear dispersion relations Physical Review D - Particles, Fields, Gravitation and Cosmology. 89. DOI: 10.1103/Physrevd.89.043507  0.447
2014 Sheng Q, Sun HW. Exponential splitting for n-dimensional paraxial Helmholtz equation with high wavenumbers Computers and Mathematics With Applications. 68: 1341-1354. DOI: 10.1016/J.Camwa.2014.09.005  0.453
2014 Liang X, Khaliq AQM, Sheng Q. Exponential time differencing Crank-Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations Applied Mathematics and Computation. 235: 235-252. DOI: 10.1016/J.Amc.2014.02.063  0.504
2014 Beauregard MA, Sheng Q. A fully adaptive approximation for quenching-type reaction-diffusion equations over circular domains Numerical Methods For Partial Differential Equations. 30: 472-489. DOI: 10.1002/Num.21820  0.5
2014 Sheng Q. Adaptive decomposition methods for the solution of certain highly oscillatory optical wave problems Civil-Comp Proceedings. 105.  0.35
2013 Beauregard MA, Sheng Q. Explorations and expectations of equidistribution adaptations for nonlinear quenching problems Advances in Applied Mathematics and Mechanics. 5: 407-422. DOI: 10.1017/S2070073300001302  0.451
2013 Sheng Q, Han W. Well-posedness of the Fokker-Planck equation in a scattering process Journal of Mathematical Analysis and Applications. 406: 531-536. DOI: 10.1016/J.Jmaa.2013.04.063  0.346
2013 Beauregard MA, Sheng Q. Solving degenerate quenching-combustion equations by an adaptive splitting method on evolving grids Computers and Structures. 122: 33-43. DOI: 10.1016/J.Compstruc.2012.10.014  0.512
2013 Beauregard MA, Sheng Q. An adaptive splitting approach for the quenching solution of reaction-diffusion equations over nonuniform grids Journal of Computational and Applied Mathematics. 241: 30-44. DOI: 10.1016/J.Cam.2012.10.005  0.479
2012 Sheng Q, Khaliq AQM. A revisit of the semi-adaptive method for singular degenerate reaction-diffusion equations East Asian Journal On Applied Mathematics. 2: 185-203. DOI: 10.4208/eajam.300412.200612a  0.361
2012 Sheng Q, Sun HW. Asymptotic stability of an eikonal transformation based adi method for the paraxial Helmholtz equation at high wave numbers Communications in Computational Physics. 12: 1275-1292. DOI: 10.4208/cicp.100811.090112a  0.368
2012 Sheng Q, Guha S, Gonzalez L. Eikonal decomposition methods for fast computations of beam propagations Engineering Computations (Swansea, Wales). 29: 4-18. DOI: 10.1108/02644401211190537  0.487
2012 Sheng Q, Guha S, Gonzalez LP. A short note on the asymptotic stability of an oscillation-free eikonal splitting method Applied Mathematics Letters. 25: 1539-1543. DOI: 10.1016/J.Aml.2012.01.011  0.399
2012 Beauregard MA, Sheng Q. A semi-adaptive compact splitting method for the numerical solution of 2-dimensional quenching problems Applied Mathematics and Computation. 218: 11240-11254. DOI: 10.1016/J.Amc.2012.05.016  0.494
2011 Sheng Q, Guha S, Gonzalez LP. An exponential transformation based splitting method for fast computations of highly oscillatory solutions Journal of Computational and Applied Mathematics. 235: 4452-4463. DOI: 10.1016/J.Cam.2011.04.013  0.475
2009 Guha S, Rogers JW, Sheng Q. Effective stretching strategies for paraxial lightwave propagation simulations Computers and Structures. 87: 784-792. DOI: 10.1016/J.Compstruc.2008.11.016  0.41
2009 Sheng Q. Adaptive decomposition finite difference methods for solving singular problems-a review Frontiers of Mathematics in China. 4: 599-626. DOI: 10.1007/s11464-009-0038-0  0.438
2008 Sheng Q. Hybrid approximations via second-order crossed dynamic derivatives with the {white diamond suit}α derivative Nonlinear Analysis: Real World Applications. 9: 628-640. DOI: 10.1016/J.Nonrwa.2006.12.006  0.366
2008 Gonzalez L, Guha S, Rogers JW, Sheng Q. An effective z-stretching method for paraxial light beam propagation simulations Journal of Computational Physics. 227: 7264-7278. DOI: 10.1016/J.Jcp.2008.04.019  0.384
2008 Sheng Q. Recent trends in splitting, adaptive and hybrid numerical methods for differential equations Neural, Parallel and Scientific Computations. 16: 283-302.  0.431
2007 Sheng Q. Hybrid approximations via second order combined dynamic derivatives on time scales Electronic Journal of Qualitative Theory of Differential Equations. 1-13. DOI: 10.14232/Ejqtde.2007.1.17  0.394
2007 Sheng Q, Khaliq AQM. Preface: Splitting methods for differential equations International Journal of Computer Mathematics. 84: 709-711. DOI: 10.1080/00207160701489067  0.333
2007 Khaliq AQM, Sheng Q. On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction-diffusion equations International Journal of Computer Mathematics. 84: 795-806. DOI: 10.1080/00207160701458443  0.522
2007 Rogers JW, Sheng Q. Notes on the diamond-α dynamic derivative on time scales Journal of Mathematical Analysis and Applications. 326: 228-241. DOI: 10.1016/J.Jmaa.2006.03.004  0.341
2007 Sheng Q. A semi-adaptive split-cosine scheme for the sine-Gordon equation Pamm. 7: 1041207-1041208. DOI: 10.1002/Pamm.200700806  0.516
2007 Sheng Q. A moving-mesh splitting scheme for 2-dimensional quenching problems Pamm. 7: 1023303-1023304. DOI: 10.1002/Pamm.200700103  0.487
2006 Sheng Q, Fadag M, Henderson J, Davis JM. An exploration of combined dynamic derivatives on time scales and their applications Nonlinear Analysis-Real World Applications. 7: 395-413. DOI: 10.1016/J.Nonrwa.2005.03.008  0.46
2005 Sheng Q. A view of dynamic derivatives on time scales from approximations Journal of Difference Equations and Applications. 11: 63-81. DOI: 10.1080/10236190412331312431  0.393
2005 Sheng Q, Khaliq AQM, Voss DA. Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme Mathematics and Computers in Simulation. 68: 355-373. DOI: 10.1016/J.Matcom.2005.02.017  0.508
2004 Eloe PW, Sheng Q. Approximating crossed symmetric solutions of nonlinear dynamic equations via quasilinearization Nonlinear Analysis, Theory, Methods and Applications. 56: 253-272. DOI: 10.1016/J.Na.2003.10.001  0.459
2003 Cheng H, Lin P, Sheng Q, Tan RCE. Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman-Rachford Splitting Siam Journal On Scientific Computing. 25: 1273-1292. DOI: 10.1137/S1064827501380691  0.508
2003 Eloe PW, Sheng Q, Henderson J. Notes on crossed symmetry solutions of the two-point boundary value problems on time scales Journal of Difference Equations and Applications. 9: 29-48. DOI: 10.1080/10236190290015326  0.357
2003 Eloe PW, Sheng Q, Henderson J. Notes on crossed symmetry solutions of the two-point boundary value problems on time scales Journal of Difference Equations and Applications. 9: 29-48. DOI: 10.1080/10236100309487533  0.449
2002 Sheng Q, Khaliq AQM. Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations Applied Mathematics and Computation. 126: 279-297. DOI: 10.1016/S0096-3003(00)00158-2  0.485
2001 Sheng Q, Khaliq AQM, Al-Said EA. Solving the Generalized Nonlinear Schrödinger Equation via Quartic Spline Approximation Journal of Computational Physics. 166: 400-417. DOI: 10.1006/Jcph.2000.6668  0.53
2000 Sheng Q, Cheng H. Adaptive grid method for degenerate semilinear quenching problems Computers and Mathematics With Applications. 39: 57-71. DOI: 10.1016/S0898-1221(00)00086-9  0.43
2000 Khaliq AQM, Abukhodair B, Sheng Q, Ismail MS. A predictor‐‐corrector scheme for the sine‐Gordon equation Numerical Methods For Partial Differential Equations. 16: 133-146. DOI: 10.1002/(Sici)1098-2426(200003)16:2<133::Aid-Num1>3.0.Co;2-P  0.392
1999 Sheng Q, Khaliq AQM. A compound adaptive approach to degenerate nonlinear quenching problems Numerical Methods For Partial Differential Equations. 15: 29-47. DOI: 10.1002/(Sici)1098-2426(199901)15:1<29::Aid-Num2>3.0.Co;2-L  0.471
1997 Sheng Q, Agarwal RP. Solutions of n-point boundary value problems associated with nonlinear summary difference equations Journal of Computational and Applied Mathematics. 80: 49-70. DOI: 10.1016/S0377-0427(96)00171-9  0.457
1995 Sheng Q, Tang T. Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations Mathematical and Computer Modelling. 21: 1-11. DOI: 10.1016/0895-7177(95)00066-B  0.405
1994 Sheng Q. Global error estimates for exponential splitting Ima Journal of Numerical Analysis. 14: 27-56. DOI: 10.1093/Imanum/14.1.27  0.344
1994 Sheng Q, Agarwal RP. Monotone methods for higher-order partial difference equations Computers and Mathematics With Applications. 28: 291-307. DOI: 10.1016/0898-1221(94)00117-0  0.472
1994 Sheng Q, Agarwal RP. Nonlinear variation of parameter methods for summary difference equations in several independent variables Applied Mathematics and Computation. 61: 39-60. DOI: 10.1016/0096-3003(94)90145-7  0.42
1994 Sheng Q, Agarwal RP. Existence and Uniqueness of Periodic Solutions for Higher Order Hyperbolic Partial Differential Equations Journal of Mathematical Analysis and Applications. 181: 392-406. DOI: 10.1006/jmaa.1994.1030  0.368
1993 Sheng Q, Agarwal RP. Generalized Maximum Principle for Higher Order Ordinary Differential Equations Journal of Mathematical Analysis and Applications. 174: 476-479. DOI: 10.1006/jmaa.1993.1133  0.304
1989 Sheng Q. Solving linear partial differential equations by exponential splitting Ima Journal of Numerical Analysis. 9: 199-212. DOI: 10.1093/Imanum/9.2.199  0.405
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