Mohamed Nasser PhD, Dr.

Mohamed Nasser PhD, Dr.

Mohamed Nasser PhD, Dr.

Associate Professor

Overview

Mohamed M.S. Nasser is currently an Associate Professor of Applied and Computational Complex Analysis in the Department of Mathematics, Statistics & Physics at Wichita State University. His research interests include boundary integral equations, numerical conformal mappings, Riemann-Hilbert boundary value problem, ideal fluid mechanics, and potential theory.

Areas of Research Interest

  • Boundary integral equations
  • Numerical conformal mappings
  • Riemann-Hilbert boundary value problem
  • Ideal fluid mechanics
  • Potential theory

Areas of Teaching Interest

  • Complex Analysis
  • Numerical Analysis
  • Numerical Linear Algebra
  • Calculus
  • Differential equations
  • Integral Equations

Publications

Book chapters

  1. M.M.S. Nasser & E. Kalmoun, Application of integral equations to simulate local fields in carbon nanotube reinforced composites, In R. McPhedran, S. Gluzman, V. Mityushev, N. Rylko (eds.), 2D and Quasi-2D Composite and Nanocomposite Materials, Elsevier, 2020, pp. 233-248. 
  2. M.M.S. Nasser, A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains. In: Drygas P., Rogosin S. (eds) Modern Problems in Applied Analysis. Trends in Mathematics, Birkhauser, Cham, 2018, pp. 153-168.
  3. M.M.S. Nasser & A.H.M. Murid, Numerical Experiments on Eigenvalues of the Generalized Neumann Kernel, in: A.H.M. Murid and Y. Yaacob, (ed.), Advances in Group Theory, DNA Splicing and Complex Analysis,  Penerbit UTM press, Malaysia, 2012, pp. 135-158.

Journal articles

  1. M.M.S. Nasser & M. Vuorinen, On computation of capacities, Journal of Mathematical Sciences, 298 (2026) 638-672..
  2. C.C. Green & M.M.S. Nasser, Numerical computation of Stephenson’s g-functions in multiply connected domains, Journal of Mathematical Analysis and Applications, 554 (2026) 130010.
  3. K.W. Lee, A.H.M. Murid, M.M.S. Nasser & S.H. Yeak, Fast implementation of generalized Koebe’s iterative method, Mathematics, 13 (2025) 1920.
  4. M.M.S. Nasser, C.C. Green & E. Kalmoun, A computational method for multiple steady Hele-Shaw bubbles in planar domains, Electronic Transactions on Numerical Analysis, 63 (2025) 150-170.
  5. H. Hakula, M.M.S. Nasser & M. Vuorinen, Constrained maximization of conformal capacity, Computers and Mathematics with Applications, 193 (2025) 132-156.
  6. M.M.S. Nasser, C.C. Green & M. Vuorinen, Fast computation of analytic capacity, Computational Methods and Function Theory, 25 (2025) 569-596.
  7. H. Hakula, M.M.S. Nasser & M. Vuorinen, Mobile disks in hyperbolic space and minimization of conformal capacity, Electronic Transactions on Numerical Analysis, 60 (2024) 1-19.
  8. C.C. Green & M.M.S. Nasser, Towards computing the harmonic-measure distribution function for the middle-thirds Cantor set, Journal of Computational and Applied Mathematics, 448 (2024) 115903.
  9. S. Naqos, A.H.M. Murid, M.M.S. Nasser & S.H. Yeak, Computing the Dirichlet-to-Neumann map via an integral equation with the adjoint generalized Neumann kernel, Partial Differential Equations in Applied Mathematics, 12 (2024) 100967.
  10. H. Hakula, M.M.S. Nasser & M. Vuorinen, Conformal capacity and polycircular domains, Journal of Computational and Applied Mathematics, 420 (2023) 114830.
  11. E. Kalmoun, M.M.S. Nasser & M. Vuorinen, Numerical computation of a preimage domain for an infinite strip with rectilinear slits, Advances in Computational Mathematics, 49 (2023) Article number: 5.
  12. J. Liesen, M.M.S. Nasser & O. Sete, Computing the logarithmic capacity of compact sets having (infinitely) many components with the Charge Simulation Method, Numerical Algorithms, 93 (2023) 581-614.
  13. O. Rainio, M.M.S. Nasser, M. Vuorinen & R. Klen, Image augmentation with conformal mappings for a convolutional neural network, Computational and Applied Mathematics, 42 (2023) Article number: 361.
  14. M.M.S. Nasser, O Rainio, & M. Vuorinen, Condenser capacity and hyperbolic perimeter, Computers and Mathematics with Applications, 105 (2022) 54-74.
  15. M.M.S. Nasser, O Rainio, & M. Vuorinen, Condenser capacity and hyperbolic diameter, Journal of Mathematical Analysis and Applications, 508 (2022) 125870.
  16. M.M.S. Nasser, O. Rainio, A. Rasila, M. Vuorinen, T. Wallace, H. Yu & X. Zhang, Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals, Advances in Computational Mathematics, 48 (2022) Article number: 58.
  17. M.M.S. Nasser, S. Nasyrov & M. Vuorinen, Level sets of potential functions bisecting unbounded quadrilaterals, Analysis and Mathematical Physics, 12 (2022) Article number: 149.
  18. M.M.S. Nasser, E. Kalmoun, V. Mityushev & N. Rylko, Simulating local fields in carbon nanotube reinforced composites for infinite strip with voids, Journal of Engineering Mathematics, 134 (2022) Article number: 8.
  19. E. Kalmoun & M.M.S. Nasser, Harmonic image inpainting using the charge simulation method, Pattern Analysis and Applications, 25 (2022) 795-806.
  20. S. Naqos, AHM Murid & M.M.S. Nasser, Mikhlin’s integral equation and the integral equation with the generalized Neumann kernel on simply connected domains, Computational and Mathematical Methods, 2022 (2022), Article ID 6488709, 18 pages.
  21. M.M.S. Nasser & M. Vuorinen, Computation of conformal invariants, Applied Mathematics and Computation, 389 (2021) 125617.
  22. M.S. Nasser & M. Vuorinen, Isoperimetric properties of condenser capacity, Journal of Mathematical Analysis and Applications, 499 (2021) 125050.
  23. M.M.S. Nasser, PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains, SoftwareX, 11 (2020) 100464.
  24. M.M.S. Nasser & M. Vuorinen, Numerical computation of the capacity of generalized condensers, Journal of Computational and Applied Mathematics, 377 (2020) 112865.
  25. M.M.S. Nasser & M. Vuorinen, Conformal Invariants in Simply Connected Domains, Computational Methods and Function Theory, 20 (2020) 747-775.
  26. E. Kalmoun, M.M.S. Nasser & M. Vuorinen, Numerical computation of Mityuk’s function and radius for circular-radial slit domains, Journal of Mathematical Analysis and Applications, 490 (2020) 124328.
  27. E. Kalmoun, M.M.S. Nasser & K.A. Hazaa, The Motion of a Point Vortex in Multiply Connected Polygonal Domains, Symmetry, 12(7) (2020) 1175.
  28. M.M.S. Nasser, The Explicit Eigenvalues and Eigenfunctions of the Generalized Neumann Kernel in Annular Domains, Malaysian Journal of Mathematical Sciences, 13 (2019) 373-396.
  29. M.M.S. Nasser, Numerical computing of preimage domains for bounded multiply connected slit domains, Journal of Scientific Computing, 78 (2019) 582-606.
  30. M.M.S. Nasser, Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains, Bulletin of the Malaysian Mathematical Sciences Society, 41 (2018) 2067-2087.
  31. M.M.S. Nasser & C.C. Green, A fast numerical method for ideal fluid flow in domains with multiple stirrers, Nonlinearity, 31 (2018) 815-837.
  32. J. Liesen, O. Sete & M.M.S. Nasser, Fast and accurate computation of the logarithmic capacity of compact sets, Computational Methods and Function Theory, 17 (2017) 689-713.
  33. M.M.S. Nasser, J. Liesen & O. Sete, Numerical computation of the conformal map onto lemniscatic domains, Computational Methods and Function Theory, 16(4) (2016) 609-635.
  34. D.G. Crowdy, E.H. Kropf, C.C. Green & M.M.S. Nasser, The Schottky-Klein prime function: a theoretical and computational tool for applications, IMA Journal of Applied Mathematics, 81(3) (2016) 589-628.
  35. M.M.S. Nasser, Fast computation of the circular map, Computational Methods and Function Theory, 15(2) (2015) 187-223.
  36. M.M.S. Nasser, Fast solution of boundary integral equations with the generalized Neumann kernel, Electronic Transactions on Numerical Analysis, 44 (2015) 189-229.
  37. M.M.S. Nasser, Fast computation of hydrodynamic Green’s function, Revista Cubana de Fisica, 32(1) (2015) 26-32.
  38. M.M.S. Nasser, Takashi Sakajo, Ali H.M. Murid & Lee Khiy Wei, A fast computational method for potential flows in multiply connected coastal domains, Japan Journal of Industrial and Applied Mathematics, 32(1) (2015) 205-236.
  39. A.A.M. Yunus, A.H.M. Murid & M.M.S. Nasser, Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and rectilinear slit regions, Proceedings of the Royal Society A, 470(2162) (2014), Article No. 20130514.
  40. A.A.M. Yunus, A.H.M. Murid & M.M.S. Nasser, Numerical evaluation of conformal mapping and its inverse for unbounded multiply connected regions, Bulletin of the Malaysian Mathematical Sciences Society, 37(1) (2014) 1–24.
  41. M.M.S. Nasser, A.H.M. Murid & A.W.K. Sangawi, Numerical conformal mapping via a boundary integral equation with the adjoint generalized Neumann kernel, TWMS Journal of Pure and Applied Mathematics, 5(1) (2014) 96-117.
  42. M.M.S. Nasser, Numerical conformal mapping of multiply connected regions onto the fifth category of Koebe’s canonical slit regions, Journal of Mathematical Analysis and Applications, 398 (2013) 729-743.
  43. M.M.S. Nasser & F.A.A. Al-Shihri, A fast boundary integral equation method for conformal mapping of multiply connected regions, SIAM Journal on Scientific Computing, 35(3) (2013) A1736-A1760.
  44. S.A.A. Al-Hatemi, A.H.M. Murid & M.M.S. Nasser, A boundary integral equation with the generalized Neumann kernel for a mixed boundary value problem in unbounded multiply connected regions, Boundary Value Problems, 2013 (2013) 54.
  45. A.W.K. Sangawi, A.H.M. Murid & M.M.S. Nasser, Radial slit maps of bounded multiply connected regions, Journal of Scientific Computing, 55 (2013) 309-326.
  46. A.W.K. Sangawi, A.H.M. Murid & M.M.S. Nasser, Parallel slits map of bounded multiply connected regions, Journal of Mathematical Analysis and Applications, 389 (2012) 1280-1290.
  47. A.W.K. Sangawi, Ali H.M. Murid & M.M.S. Nasser, Annulus with circular slit map of bounded multiply connected regions via integral equation method, Bulletin of the Malaysian Mathematical Sciences Society, 35 (2012) 945-959.
  48. M.M.S. Nasser, Ali H.M. Murid & Samer A.A. Al-Hatemi, A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem, Journal of Applied Mathematics, 2012 (2012), Article ID 254123, 17 pages.
  49. M.M.S. Nasser, Numerical conformal mapping of multiply connected regions onto the second, third and fourth categories of Koebe’s canonical slit domains, Journal of Mathematical Analysis and Applications, 382 (2011) 47-56.
  50. M.M.S. Nasser, Boundary integral equations for potential flow past multiple aerofoils, Computational Methods and Function Theory, 11 (2011) 375-394.
  51. M.M.S. Nasser, A.H.M. Murid, M. Ismail & E.M.A. Alejaily, Boundary integral equations with the generalized Neumann kernel for Laplace’s equation in multiply connected regions, Applied Mathematics and Computation, 217 (2011) 4710-4727.
  52. A.W.K. Sangawi, A.H.M. Murid & M.M.S. Nasser, Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits, Applied Mathematics and Computation, 218 (2011) 2055-2068.
  53. M.M.S. Nasser, A nonlinear integral equation for numerical conformal mapping, Advances in Pure and Applied Mathematics, 1 (2010) 47-64.
  54. M.M.S. Nasser, Numerical conformal mapping via a boundary integral equation with the generalized Neumann kernel, SIAM Journal on Scientific Computing, 31 (2009) 1695-1715.
  55. M.M.S. Nasser, A boundary integral equation for conformal mapping of bounded multiply connected regions, Computational Methods and Function Theory, 9 (2009) 127-143.
  56. M.M.S. Nasser, A.H.M. Murid & Z. Zamzamir, A boundary integral method for the Riemann-Hilbert problem in domains with corners, Complex Variables and Elliptic Equations, 53 (2008) 989-1008.
  57. R. Wegmann & M.M.S. Nasser, The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions, Journal of Computational and Applied Mathematics, 214 (2008) 36-57.
  58. M.M.S. Nasser, Numerical solution of the Riemann-Hilbert problem, Punjab University Journal of Mathematics, 40 (2008) 9-29.
  59. R. Wegmann, A.H.M. Murid & M.M.S. Nasser, The Riemann-Hilbert problem and the generalized Neumann kernel, Journal of Computational and Applied Mathematics, 182 (2005) 388-415.
  60. A.H.M. Murid, M.M.S. Nasser & N.S. Amin, A boundary integral method for the planar external potential flow around airfoils, Jurnal Teknologi, 42(C) (2005) 29-42.
  61. A.H.M. Murid & M.M.S. Nasser, Eigenproblem of the generalized Neumann kernel, Bulletin of the Malaysian Mathematical Science Society, 26 (2003) 13-33.