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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