Research

Research Interests

• Numerical method for partial differential equations
• Computational Linear Algebra

Awards

2016     Macao Natural Science Award from FDCT (second prize), X. Jin, S. Vong, C. Cheng  

Title: Preconditioning techniques for Toeplitz systems with applications

Incentive Scheme for Outstanding Academic Staff (2019/2020), (2018/2019) 

2021     Faculty of Science and Technology Research Excellence Award 2020/2021

2022    Macao Natural Science Award from FDCT (third prize), S. Vong, X. Jin

Title: High order numerical methods for differential equations with fractional
derivatives

Student Achievement

LYU Pin won the EASIAM student paper prize (most of the awardees are from top Universities in Asia) in 2018.

WANG Zhi Bo (Master) and LYU Pin (PhD) were awarded the Scientific and Technological R&D Award for Postgraduates of FDCT (by Macau Government) in 2014 and 2018 respectively. 

PhD Student supervised

Master Student supervised

• Cheang Ka Hang (2010)
• Fok Hou Kei (2012)
• Wang Zhi Bo (2013)-continue study as my PhD student (FDCT student prize awardee) 
• Lyu Pin (2015)-continue study as my PhD student
• Guo Li (2015)
• Shi Chenyang (2017)-continue study as my PhD student
• Yang Hao (2019)
• He Jiewen (2020)-continue study as my PhD student
• Hoi Ka Chon (2022)
• Wang Zixuan (2023)
• Xue Han (2023)-continue study as my PhD student
• Zhang Yuanyuan (2023)-continue study as my PhD student
• Lao Ka Chong (2023)
• Chan Chon Kit (2023)
• Pan Xiaoqing (2024)
• Huang Xiaotong (2024)
• PENG YINGLU (on going)
• HUANG ZHENDONG (on going)
• TAN YUEYUE (on going)
• Li JINXUAN (on going)
• Lin Long (on going)
• TONG ZHIYUAN (on going)

Selected Publications

Journal Papers

Paper indexed by Web of Science:

Before 2020:

1. S. Vong, T. Yang & C. Zhu (2003). Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum (II), Journal of Differential Equations, Vol. 192, pp. 475-501.
2. S. Vong (2006). The Boltzmann equation with frictional force, Journal of Differential Equations, Vol. 222, pp. 95-136.
3. L. Lin & S. Vong (2006).  A note on the existence and nonexistence of globally bounded classical solutions for nonisentropic gas, Acta Mathematica Scientia, Vol. 26B,  No. 3, pp. 537-540.
4. C. Cheng, X. Jin, S. Vong & W. Wang (2007). A note on spectra of optimal and superoptimal preconditioned matrices, Linear Algebra Appl. 422, 482-485.
5. S. Vong & X. Jin (2007). Unitarily Invariant Norms of Toeplitz Matrices with Fisher-Hartwig Singularities, SIAM J. Matrix Anal. Vol. 29, No. 3, pp. 850–854.
6. S. Vong, W. Wang & X. Jin (2008). Convergence Analysis of Superoptimal PCG Algorithm for Toeplitz Sys ems with a Fisher-Hartwig Singularity, Linear Algebra Appl., Vol. 428, pp. 535-549.
7. S. Vong and X. Jin (2008), Proof of Bottcher and Wenzel’s Conjecture, Operators and Matrices, Vol. 2, pp. 435-442.
8. C. Cheng, S. Vong, and D.Wenzel (2010), Commutators with maximal Frobenius norm, Linear Algebra Appl., 432, pp. 292-306.
9. H. Pang, Y. Zhang, S. Vong, X. Jin (2011), Circulant preconditioners for pricing options, Linear Algebra Appl., Vol. 434, pp. 2325-2342.
10. S. Vong, Z. Bai, and X. Jin (2011), A Ulm-like Method for Inverse Singular Value Problems, SIAM J. Matrix Anal. Appl., 32, pp. 412-429, 2011.
11. S. Vong (2011), On a generalization of Aczel’s inequality, Appl. Math. Lett., 24, pp. 1301-1307, 2011.
12. S. Vong (2011), A note on some Ostrowski-like type inequalities, Computers and Mathematics with Applications, 62, pp. 532-535, 2011.
13. S. Vong, H. Pang, X. Jin, A high-order difference scheme for the generalized Cattaneo equation, East Asian J. Appl. Math., 2 (2012) 170-184.

14.**Z. Wang^, S. Vong, On some Ostrowski-like type inequalities involving n knots, Appl. Math. Lett., 26 (2013), 296–300.

15. Vong, Q. Meng, S. Lei, On a discrete-time collocation method for the nonlinear Schrödinger equation with wave operator, Numer. Meth. Part. Diff. Equ., 29 (2013), 693–705.
16.  S. Vong, Positive solutions of singular fractional differential equations with integral boundary conditions, Mathematical and Computer Modelling 57 (2013), 1053–1059.
17. Z. Wang^, S. Vong, A Gauss-Newton-like Method for Inverse Eigenvalue Problems, Int. J. Comput. Math., 90(7) (2013), 1435–1447.

18. **Z. Wang^, S. Vong, On some generalizations of an Ostrowski-Gruss type integral inequality, Appl. Math. Comput., 229 (2014), 239–244

19. S. Vong, Z. Wang^, Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System, Adv. Appl. Math. Mech., 6(4) (2014), 419—435.

20. W. Li, S. Vong, X. Peng, On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices, Appl. Numer. Math., 83 (2014), 38–50.

21. S. Vong, X. Jin, and J. Wang, The mediating morphism of the multilinear optimal map, East Asian J. Appl. Math.,  4 (2014), 82–87.

22. Z. Wang^, S. Vong, A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations, Comput. Math. Appl., 68(3) (2014), 185–196.

23. S. Vong, Z. Wang^, A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions. J. Comput. Phys., 274 (2014), 268–282.

24. S.. Vong, Z. Wang^, High order difference schemes for a time fractional differential equation with Neumann boundary conditions, East Asian J. Appl. Math., 4(3) (2014), 222–241.

25. Z. Wang^, S. Vong, Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation. J. Comput. Phys., 277 (2014), 1–15.

26. W. Qu, S. Lei, S. Vong ,Circulant and skew-circulant splitting iteration for fractional advection-diffusion equations. Int. J. Comput. Math., 91(10) (2014), 2232–2242.

27. Z. Wang^, S. Vong, A high order ADI scheme for the two-dimensional time fractional diffusion-wave equation, Int. J. Comput. Math., 92(5) (2015), 970—997.

28. S. Vong, Z. Wang^, A high order compact finite difference scheme for time fractional Fokker-Planck equations. Appl. Math. Lett., 43  (2015), 38–43.

29.  S. Vong, Z. Wang^, A high-order compact scheme for the nonlinear fractional Klein-Gordon equation. Numer. Meth. Part. Diff. Equ., 31(2015), no. 3, 706–722.

30. H. Fok^, S. Vong, Generalizations of some Hermite-Hadamard-type inequalities. Indian J. Pure Appl. Math.  46  (2015),  no. 3, 359–370.

31. S. Vong, Z. Wang^, A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates, Numer. Meth. Part. Diff. Equ.,  31(5) (2015), 1692–1712.

32. W. Li, D. Liu, S. Vong, Z-eigenpair bounds for an irreducible nonnegative tensor, Linear Algebra Appl.,  483  (2015), 182–199.

33. C. Cheng, X. Jin, S. Vong, A survey on the Böttcher-Wenzel conjecture and related problems, Oper. Matrices,  9(3)  (2015) , 659–673.

34. T. Chen, W. Li, X. Wu, S. Vong, Error bounds for linear complementarity problems of MB -matrices. Numer. Algor. , 70(2)  (2015), 341–356.

35. W. Li, Z. Xie, S. Vong, Sensitivity analysis for the symplectic QR factorization. J. Franklin Inst.  353(5)  (2016), 1186–1205.

36. S. Vong, P. Lyu^, Z. Wang^, A compact difference scheme for fractional sub-diffusion equations with the spatially variable coefficient under Neumann boundary conditions. J. Sci. Comput.  66(2)  (2016), 725–739.

37. Z. Wang^, S. Vong, S. Lei, Finite difference schemes for two-dimensional time-space fractional differential equations. Int. J. Comput. Math., 93(3)  (2016), 578–595.

38. S. Vong, P. Lyu^, X. Chen, S.L. Lei, High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives, Numer. Algor., 72 (2016), 195–210.

39. Z. Wang^, S. Vong, A compact difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates, Comput. Math. Appl., 71(12) (2016),  2524–2540.

40. L. Guo^, Z. Wang^, S. Vong, Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems, Int. J. Comput. Math., 93(10) (2016), 1665–1682.

41. H.L. Liao, P. Lyu^, S. Vong, Y. Zhao, Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations, Numer. Algor., 75(4) (2017), 845—878.

42. H. Zheng, W. Li, S. Vong, A relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems, Numer. Algor., 74 (2017), 137–152.

43. S. Vong, P. Lyu^, On numerical contour integral method for fractional diffusion equations with variable coefficients, Appl. Math. Lett., 64 (2017), 137–142.

44. W. Li, S. Vong, On the variation of the spectrum of a Hermitian matrix, Appl. Math. Lett.,  65 (2017), 70–76.

45. W. Li, D. Liu^, M. Ng, S. Vong, The uniqueness of multilinear PageRank vectors, Numer. Linear Algebra Appl., (2017), DOI: 10.1002/nla.2107

46. H. Zheng, S. Vong, W. Li, On perturbation bounds of the linear complementarity problem, Linear and Multilinear Algebra, (2017), http://dx.doi.org/10.1080/03081087.2017.1312682

47. H.L. Liao, P. Lyu^, S. Vong, Second-order BDF time approximation for Riesz space-fractional diffusion equations, Int. J. Comput. Math., DOI: 10.1080/00207160.20171366461

48. S. Vong, C.Y. Shi^, P. Lyu^, High-order compact schemes for fractional differential equations with mixed derivatives, Numer. Meth. Part. Diff. Equ., DOI: 10.1002/NUM.22183.

49. P. Lyu^, S. Vong, A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations, Numer. Algor., https://doi.org/10.1007/s11075-017-0385-y  

50. D. Liu^, W. Li, S. Vong, The tensor splitting with application to solve multi-linear systems, J. Comput. Appl. Math., https://doi.org/10.1016/j.cam.2017.08.009

51. D. Liu^, W. Li, S. Vong, Tensor complementarity problems: the GUS-property and an algorithm, Linear and Multilinear Algebra, https://doi.org/10.1080/03081087.2017.1369929

52. X. Lu, H.-K. Pang, H.-W. Sun, S. Vong, Approximate inversion method for time-fractional sub-diffusion equations, to appear in Numer. Linear Algebra Appl.

53. P. Lyu^, S. Vong, linearized second-order finite difference scheme for time fractional generalized BBM equation, Applied Mathematics Letters, 78 (2018) 16–23

54. P. Lyu^, S. Vong, Z. Wang, A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation, East Asian Journal on Applied Mathematics, Vol. 7, No. 4, 752-766

55. W. Li, W. Liu, S Vong, Some bounds for H-eigenpairs and Z-eigenpairs of a tensor, Journal of Computational and Applied Mathematics, 342 (2018), 37–57

56. W. Li, Y. Chen, S. Vong, Q. Luo, Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse, Numerical Algorithms, https://doi.org/10.1007/s11075-018-0473-7  

57. X.-S. Chen, S. Vong, W. Li, H. Xu, Noda iterations for generalized eigenproblems following Perron-Frobenius theory, Numerical Algorithms, https://doi.org/10.1007/s11075-018-0512-4  

58. S. Vong, P. Lyu^, Unconditional Convergence in Maximum-Norm of a Second-Order Linearized Scheme for a Time-Fractional Burgers-Type Equation, Journal of Scientific Computing, https://doi.org/10.1007/s10915-018-0659-0

59. P. Lyu^,  S. Vong, A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrödinger equation, Numerical Methods for Partial Differential Equations, https://doi.org/10.1002/num.22282 

60. S. Vong, D. Liu^, An inertial Mann algorithm for nonexpansive mappings, Journal of Fixed Point Theory Appl. (2018) 20: 102. https://doi.org/10.1007/s11784-018-0583-9

61. H. Zheng, S. Vong, Improved convergence theorems of the two-step modulus-based matrix splitting and synchronous multisplitting iteration methods for solving linear, Linear and Multilinear Algebra, https://doi.org/10.1080/03081087.2018.1470602

62. W. Li, W.-H. Liu, S. Vong, On the Z-eigenvalue bounds for a tensor, Numer. Math. Theor. Meth. Appl. Vol. 11, No. 4, pp. 810-826

63. W. Li, D. Liu, S. Vong, Comparison results for splitting iterations for solving multi-linear systems, Applied Numerical Mathematics, https://doi.org/10.1016/j.apnum.2018.07.009

64. H. Zheng, S. Vong,  L. Liu, The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems. International Journal of Computer Mathematics, https://doi.org/10.1080/00207160.2018.1504928

65. H. Zheng, S. Vong, The modulus-based nonsmooth Newton’s method for solving a class of nonlinear complementarity problems of P-matrices. Calcolo, https://doi.org/10.1007/s10092-018-0279-y

66. D. Liu, W. Li, M. K. Ng, S. Vong, Uniqueness and perturbation bounds for sparse non-negative tensor equations, Frontiers of Mathematics in China, August 2018, Volume 13, Issue 4, pp 849–874

67. S. Vong, C. Shi^, D. Liu^, Improved exponential stability criteria of time-delay systems via weighted integral inequalities, Applied Mathematics Letters, 86, 14-21

68. H. Zheng, S. Vong, A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems, Numerical Algorithms, https://doi.org/10.1007/s11075-018-0614-z

69. S Vong, C Shi^, P Lyu^, A study on a second order finite difference scheme for fractional advection–diffusion equations, Numerical Methods for Partial Differential Equations 35 (2) March 2019, 493-508

70. S. Vong, P. Lyu, On a second order scheme for space fractional diffusion equations with variable coefficients, Applied Numerical Mathematics 137, 34-48

71. **H Zheng, S Vong, L Liu, A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of H-matrices, Applied Mathematics and Computation 353, 396-405 .

72. P Lyu, S Vong, A graded scheme with bounded grading for a time-fractional Boussinesq type equation, Applied Mathematics Letters 92, 35-40

73. H Zheng, S Vong, WX Guo, Newton-type methods for solving quasi-complementarity problems via sign-based equation, Calcolo 56 (2), 20

74. P. Lyu, S. Vong, A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin-Bona-Mahony Equation, Journal of Scientific Computing, https://doi.org/10.1007/s10915-019-00991-6

75. D. Liu, W. Li, S. Vong, Relaxation Methods for Solving the Tensor Equation Arising from the Higher-order Markov Chains, to appear in Numerical Linear Algebra with Applications.

76. W. Li, W.-H. Liu and S. Vong, Perron vector analysis for irreducible nonnegative tensors and its applications, to appear in J. Ind. Manag. Optim.

77. X. Ge, X.S. Chen, S. Vong, Inexact generalized Noda iterations for generalized eigenproblems, to appear in Journal of Computational and Applied Mathematics

78. J. Ren, D. Shi, S. Vong, High accuracy error estimates of a Galerkin FEM for nonlinear time fractional diffusion equation, to appear in Numerical Methods for Partial Differential Equations

79. P. Lyu, S. Vong, A nonuniform L2 formula of Caputo derivative and its application to a fractional BBM-type equation with nonsmooth solutions, to appear in Numerical Methods for Partial Differential Equations,  https://doi.org/10.1002/num.22441

80. C. Shi^, S. Vong, Finite-time stability for discrete-time systems with time-varying delay and nonlinear perturbations by weighted inequalities, Journal of the Franklin Institute, https://doi.org/10.1016/j.jfranklin.2019.09.028

81. H. Zheng, S. Vong, On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of H+-matrices, Applied Mathematics and Computation, https://doi.org/10.1016/j.amc.2019.124890.

82. P. Lyu, S. Vong, An efficient numerical method for q-fractional differential equations, to appear in Applied Mathematics Letters

2020

83.  H Zheng, W Li, S Vong, An iteration method for nonlinear complementarity problems, Journal of Computational and Applied Mathematics 372, 112681

84. W Li, D Liu, S Vong, M Xiao, Multilinear PageRank: Uniqueness, error bound and perturbation analysis, Applied Numerical Mathematics, to appear

85. P Lyu, S Vong, A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin–Bona–Mahony‐type equation with nonsmooth solutions, Numerical Methods for Partial Differential Equations 36 (3), 579-600

86. D Liu, W Li, S Vong, A new preconditioned SOR method for solving multi-linear systems with an M-tensor, Calcolo 57, 15

87. J Li, W Li, S Vong, QL Luo, MQ Xiao, A Riemannian Optimization Approach for Solving the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils, Journal of Scientific Computing 82 (3), 1-43

88. S Vong, C Shi, Z Yao^, Exponential synchronization of coupled inertial neural networks with mixed delays via weighted integral inequalities, International Journal of Robust and Nonlinear Control 30 (17), 7341-7354          

89. Z Yao^, S Vong, Scaled consensus for coupled harmonic oscillators via sampled position data, IET Control Theory & Applications 14 (18), 2776-2783      

90 . J Li, W Li, S Vong, Efficient algorithms for solving condition number-constrained matrix minimization problems, Linear Algebra and its Applications 607, 190-230

2021

91. W Li, WH Liu, SW Vong, Perron vector analysis for irreducible nonnegative tensors and its applications, Journal of Industrial & Management Optimization 17 (1), 29

92. H Zheng, S Vong, A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems, Numerical Algorithms 86, 1791-1810

93.  P Lyu, S Vong, A fast linearized numerical method for nonlinear time-fractional diffusion equations, Numerical Algorithms, 1-28

94. X. Ge^, C Shi, S. Vong, Exponential stability of time delay systems based on  intermediate polynomial-based weighted functions, to appear in Applied Mathematics Letters      

95. XS Chen, SW Vong, On worst-case condition numbers of a multiple nonzero finite generalized singular value, Linear Algebra and its Applications 616, 1-18       

96. H Zheng, S Vong, On the modulus-based successive overrelaxation iteration method for horizontal linear complementarity problems arising from hydrodynamic lubrication, Applied Mathematics and Computation 402, 126165

97. P Lyu, S Vong, Second-Order and Nonuniform Time-Stepping Schemes for Time Fractional Evolution Equations with Time–Space Dependent Coefficients, Journal of Scientific Computing 89 (2), 1-25

98. C Shi, K Hoi^, S Vong, Free-weighting-matrix inequality for exponential stability for neural networks with time-varying delay, Neurocomputing 466, 221-228

2022

99. J He^, H Zheng, S Vong, Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems, EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 12 (1), 125-144

100. Z Yao^, S Vong, Some new results on the consensus of coupled harmonic oscillators with impulsive control, International Journal of Robust and Nonlinear Control 32 (4), 1960-1972

101. C Ou, D Cen, S Vong, Z Wang, Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations, Applied Numerical Mathematics 177, 34-57

102. X Ge^, K Hoi^, S Vong, A delay-variation-dependent stability criterion for discrete-time systems via a bivariate quadratic function negative-determination lemma, Journal of the Franklin Institute, 359, Issue 10,  Pages 4976-4996 

103. Z Wang, C Ou, S Vong, A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations, Journal of Computational and Applied Mathematics, 114448

104. P Lyu, S Vong, A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations, Journal of Scientific Computing 93 (1), 1-25

105. J He^, SW Vong, A new kind of modulus-based matrix splitting methods for vertical linear complementarity problems, Applied Mathematics Letters 134, 108344

106. J He^, S Vong, Fast modulus-based matrix splitting iteration methods for implicit complementarity problems, Applied Numerical Mathematics 182, 28-41

107. J He^, H Zheng, S Vong, Modulus-based matrix splitting iteration methods with new splitting scheme for horizontal implicit complementarity problems, to appear in Linear and Multilinear Algebra

2023

108. S Vong, Z Yao^, High-order leader following consensus for multi-agent systems via intermittent sampled position data control, European Journal of Control 69, 100739

109. C Shi, K Hoi^, S Vong, Improved reciprocally convex inequality for stability analysis of neural networks with time-varying delay, Neurocomputing Volume 527, 28 March 2023, Pages 167-173

110. Y Zhang, H Zheng, S Vong, X Lu, A two-step parallel iteration method for large sparse horizontal linear complementarity problems, Applied Mathematics and Computation 438, 127609

111. P Lyu, L Zhou, S Vong, Second-order nonuniform time-stepping schemes for time-fractional evolution equations with general elliptic operator, Applied Mathematics Letters 139, 108541

112. H Zheng, Y Zhang, X Lu, S Vong, Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems, Numerical Algorithms 93 (2), 711-729

^This author is a student under my supervision when he/she completed this article.

Papers indexed by Scopus:

1. Z. Bai, X. Jin, and S. Vong, On Some Inverse Singular Value Problems with Toeplitz-Related   Structure, Numerical Algebra, Control and Optimization, 2 (2012)  187-192.
2. W. Qu, S. Lei, S. Vong, A note on the stability of a second order finite difference scheme for space fractional diffusion equations. Numer. Algebra Control Optim.  4  (2014),  no. 4, 317–325.
3. W. Li, W.H. Liu, S. Vong, On the bound of the eigenvalue in module for a positive tensor, J. Operations Research Society of China, 5 (2017), 123–129.
4. JW He, CC Lei, CY Shi, S Vong. An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems, Numerical Algebra, Control and Optimization 11 (3), 353-362 (2021)

Book

 1. Jin and S. Vong, An Introduction to Applied Matrix Analysis, Higher Education Press, Beijing; and World Scientific, Singapore, 2016, xiii+130 pages. ISBN 978-981-4749-46-6. 

Edited Book  

1. X. Jin, H. Sun and S. Vong (2011), Recent Advances in Scientific Computing and Matrix Analysis, International Press, Boston, Somerville

Conference Papers and Book Contributions

1. S. Vong (1998). On the Vacuum State for the Equations of Isentropic Gas Dynamics II, Proceedings of Luso-Chinese Symposium on Nonlinear Evolution Equations and their Applications, Macao.
2. S. Vong, W. Wang and X. Jin (2006). A Note on the Complexity of the PCG Algorithm for Solving Toeplitz Systems with a Fisher-Hartwig Singularity, Proceedings of Computational Methods in Engineering and Science (EPMESC) X,Hainan,China.
3. Y. Zhang, S. Vong and X. Jin, A Family of Generating Functions with An Application in Finance, Proceedings of the 4th East AsiaSIAM Conference, Daejeon, Korea, MINS, October 2008, pp. 7-14.
4. S. Vong, A bound on spectrum of circulant preconditioned elliptic operators, Recent Advances in Computational Mathematics, Higher Education Press, Beijing & International Press of Boston, Somerville, 2008, pp. 163-172.
5. Z. Li, S. Vong, Y. Wei, and X. Jin, Some Results on Condition Numbers, Handbook of Optimization Theory: Decision Analysis and Applications (Mathematics Research Developments), pp. 577-586. Eds: J. Varela and S. Acuña, Nova Science Pub., 2011.

Recent Research Projects (Since 2002 – present)

• “Iterative Methods for Solving Inverse Eigenvalue Problems”, Grant no. MYRG062(Y1-L1)-FST11-VSW, from University of Macau.
• “Positive Solutions to the Boundary Value Problems of Differential Equations”, Grant no. MYRG086(Y1-L2)-FST12-VSW, from University of Macau.
• “High order compact schemes of partial differential equations”, Grant no. FDCT/001/2013/A, from FDCT
• “High order numerical methods of partial differential equations” Grant no. MYRG2015-00064-FST, from University of Macau
• “High order schemes of fractional differential equations”, Gran no. 010/2015/A, from FDCT
• “Linearized methods of nonlinear fractional differential equations and related problems” Grant no. 050/2017/A, from FDCT
• “Efficient numerical methods for fractional differential equations and tensor analysis” Grant no. MYRG2017-00098-FST, from University of Macau