A. K. Nandakumaran

These are the publications by A. K. Nandakumaran after he joined the department.


  1. Aiyappan, S. and Nandakumaran, A. K. and Prakash, Ravi, Semi-linear optimal control problem on a smooth oscillating domain, Commun. Contemp. Math. , 22 (2020), 1950029, 26. (Article) (Review)
  2. Mahadevan, Rajesh and Nandakumaran, A. K. and Prakash, Ravi, Homogenization of an elliptic equation in a domain with oscillating boundary with non-homogeneous non-linear boundary conditions, Appl. Math. Optim. , 82 (2020), 245-278. (Article) (Review)
  3. Aiyappan, S. and Jose, Editha C. and Lomerio, Ivy Carol B. and Nandakumaran, A. K., Control problem on a rough circular domain and homogenization, Asymptot. Anal. , 115 (2019), 19-46. (Article) (Review)
  4. Aiyappan, S. and Nandakumaran, A. K. and Prakash, Ravi, Locally periodic unfolding operator for highly oscillating rough domains, Ann. Mat. Pura Appl. (4) , 198 (2019), 1931-1954. (Article) (Review)
  5. Aiyappan, S. and Nandakumaran, A. K. and Sufian, Abu, Asymptotic analysis of a boundary optimal control problem on a general branched structure, Math. Methods Appl. Sci. , 42 (2019), 6407-6434. (Article) (Review)
  6. Aiyappan, S. and Nandakumaran, A. K. and Prakash, Ravi, Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization, Calc. Var. Partial Differential Equations , 57 (2018), Art. 86, 30. (Article) (Review)
  7. Aiyappan, S. and Nandakumaran, A. K., Optimal control problem in a domain with branched structure and homogenization, Math. Methods Appl. Sci. , 40 (2017), 3173-3189. (Article) (Review)
  8. Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, A. K., Error bounds for a Dirichlet boundary control problem based on energy spaces, Math. Comp. , 86 (2017), 1103-1126. (Article) (Review)
  9. Nandakumaran, A. K. and Datti, P. S. and George, Raju K., Ordinary differential equations, Principles and applications, (2017), xviii+328. (Article) (Review)
  10. Nandakumaran, A. K. and Sili, Ali, Homogenization of a hyperbolic equation with highly contrasting diffusivity coefficients, Differential Integral Equations , 29 (2016), 37-54. (Article) (Review)
  11. Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, A. K., A framework for the error analysis of discontinuous finite element methods for elliptic optimal control problems and applications to C0 IP methods, Numer. Funct. Anal. Optim. , 36 (2015), 1388-1419. (Article) (Review)
  12. Nandakumaran, A. K. and Prakash, Ravi and Sardar, Bidhan Chandra, Periodic controls in an oscillating domain: controls via unfolding and homogenization, SIAM J. Control Optim. , 53 (2015), 3245-3269. (Article) (Review)
  13. Nandakumaran, A. K. and Visintin, Augusto, Variational approach to homogenization of doubly-nonlinear flow in a periodic structure, Nonlinear Anal. , 120 (2015), 14-29. (Article) (Review)
  14. Nandakumaran, A. K. and Prakash, Ravi and Raymond, J.-P., Stokes' system in a domain with oscillating boundary: homogenization and error analysis of an interior optimal control problem, Numer. Funct. Anal. Optim. , 35 (2014), 323-355. (Article) (Review)
  15. De Maio, U. and Nandakumaran, A. K., Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary, Asymptot. Anal. , 83 (2013), 189-206. (Review)
  16. Hyvönen, N. and Nandakumaran, A. K. and Varma, H. M. and Vasu, R. M., Generalized eigenvalue decomposition of the field autocorrelation in correlation diffusion of photons in turbid media, Math. Methods Appl. Sci. , 36 (2013), 1447-1458. (Article) (Review)
  17. Mohanan, K. P. and Nandakumaran, A. K. and Roy, D. and Vasu, Ram Mohan, Quantitative ultrasound-modulated optical tomography: a direct Gauss-Newton approach to recover elasticity distribution from the measured intensity autocorrelation, Neural Parallel Sci. Comput. , 21 (2013), 319-334. (Review)
  18. Nandakumaran, A. K. and Prakash, Ravi, Homogenization of boundary optimal control problems with oscillating boundaries, Nonlinear Stud. , 20 (2013), 401-425. (Review)
  19. Nandakumaran, A. K. and Prakash, Ravi and Raymond, J.-P., Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries, Ann. Univ. Ferrara Sez. VII Sci. Mat. , 58 (2012), 143-166. (Article) (Review)
  20. Tadi, M. and Nandakumaran, A. K. and Sritharan, S. S., An inverse problem for Helmholtz equation, Inverse Probl. Sci. Eng. , 19 (2011), 839-854. (Article) (Review)
  21. Chalishajar, D. N. and George, R. K. and Nandakumaran, A. K. and Acharya, F. S., Trajectory controllability of nonlinear integro-differential system, J. Franklin Inst. , 347 (2010), 1065-1075. (Article) (Review)
  22. Muslim, M. and Conca, Carlos and Nandakumaran, A. K., Approximation of solutions to fractional integral equation, Comput. Math. Appl. , 59 (2010), 1236-1244. (Article) (Review)
  23. Muslim, M. and Nandakumaran, A. K., Existence and approximations of solutions to some fractional order functional integral equations, J. Integral Equations Appl. , 22 (2010), 95-114. (Article) (Review)
  24. Varma, Hari M. and Banerjee, B. and Roy, D. and Nandakumaran, A. K. and Vasu, R. M., Convergence analysis of the Newton algorithm and a pseudo-time marching scheme for diffuse correlation tomography, J. Opt. Soc. Amer. A , 27 (2010), 259-267. (Article) (Review)
  25. Muslim, M. and Agarwal, Ravi P. and Nandakumaran, A. K., Existence, uniqueness and convergence of approximate solutions of impulsive neutral differential equations, Funct. Differ. Equ. , 16 (2009), 529-544. (Review)
  26. Muthukumar, T. and Nandakumaran, A. K., Homogenization of low-cost control problems on perforated domains, J. Math. Anal. Appl. , 351 (2009), 29-42. (Article) (Review)
  27. Nandakumaran, A. K. and Panigrahi, S., Oscillation criteria for differential equations of second order, Math. Slovaca , 59 (2009), 433-454. (Article) (Review)
  28. Varma, H. M. and Banerjee, B. and Nandakumaran, A. K. and Vasu, R. M. and Roy, D., Pseudo-time marching schemes for inverse problems in structural health assessment and medical imaging, Current Sci. , 97 (2009), 1220-1226. (Review)
  29. Varma, Hari. M. and Nandakumaran, A. K. and Vasu, R. M., Study of turbid media with light: recovery of mechanical and optical properties from boundary measurement of intensity autocorrelation of light, J. Opt. Soc. Amer. A , 26 (2009), 1472-1483. (Article) (Review)
  30. Muslim, M. and Agarwal, Ravi P. and Nandakumaran, A. K., Existence of local and global solutions to fractional order integral equations, PanAmer. Math. J. , 18 (2008), 47-57. (Review)
  31. Muthukumar, T. and Nandakumaran, A. K., Darcy-type law associated to an optimal control problem, Electron. J. Differential Equations , (2008), No. 16, 12. (Review)
  32. George, R. K. and Chalishajar, D. N. and Nandakumaran, A. K., Exact controllability of the nonlinear third-order dispersion equation, J. Math. Anal. Appl. , 332 (2007), 1028-1044. (Article) (Review)
  33. Nandakumaran, A. K., An overview of homogenization, J. Indian Inst. Sci. , 87 (2007), 475-484. (Review)
  34. Danumjaya, P. and Nandakumaran, A. K., Orthogonal cubic spline collocation method for the Cahn-Hilliard equation, Appl. Math. Comput. , 182 (2006), 1316-1329. (Article) (Review)
  35. Nandakumaran, A. K. and Ratnakumar, P. K., Corrigendum to: Schrödinger equation and the oscillatory semigroup for the Hermite operator'' [J. Funct. Anal. \bf 224 (2005), no. 2, 371-385; MR2146045], J. Funct. Anal. , 235 (2006), 719-720. (Article) (Review)
  36. Ghosh, Mrinal K. and Kumar, K. Suresh and Nandakumaran, A. K. and Mallikarjuna Rao, K. S., Differential games of fixed duration in the framework of relaxed strategies, Differential Equations Dynam. Systems , 13 (2005), 251-273. (Review)
  37. Nandakumaran, A. K. and Ratnakumar, P. K., Schrödinger equation and the oscillatory semigroup for the Hermite operator, J. Funct. Anal. , 224 (2005), 371-385. (Article) (Review)
  38. Nandakumaran, A. K. and George, Raju K., Exact controllability of a semilinear thermoelastic system, Numer. Funct. Anal. Optim. , 25 (2004), 271-285. (Article) (Review)
  39. Ghosh, Mrinal K. and Nandakumaran, A. K. and Rao, K. S. Mallikarjuna, A zero sum differential game in a Hilbert space, J. Math. Anal. Appl. , 283 (2003), 167-179. (Article) (Review)
  40. Nandakumaran, A. K., Homogenization of certain spectral problems, Linear algebra, numerical functional analysis and wavelet analysis , (2003), 147-165. (Review)
  41. Nandakumaran, A. K. and Rajesh, M. and Mallikarjuna Rao, K. S., An example in the homogenization of a degenerate elliptic equation, Asymptot. Anal. , 36 (2003), 187-201. (Review)
  42. Nandakumaran, A. K., Convergence of the boundary control for the wave equation in domains with holes of critical size, Electron. J. Differential Equations , (2002), No.\ 35, 10. (Review)
  43. Nandakumaran, A. K. and Rajesh, M., Homogenization of a parabolic equation in perforated domain with Neumann boundary condition, Proc. Indian Acad. Sci. Math. Sci. Spectral and inverse spectral theory (Goa, 2000), 112 (2002), 195-207. (Article) (Review)
  44. Nandakumaran, A. K. and Rajesh, M., Homogenization of a parabolic equation in perforated domain with Dirichlet boundary condition, Proc. Indian Acad. Sci. Math. Sci. , 112 (2002), 425-439. (Article) (Review)
  45. Ghosh, Mrinal K. and Kumar, K. Suresh and Nandakumaran, A. K. and Rao, K. S. Mallikarjuna, A note on stochastic minimax principle, Differential Equations Dynam. Systems , 9 (2001), 105-112. (Review)
  46. Nandakumaran, A. K. and Rajesh, M., Homogenization of a nonlinear degenerate parabolic differential equation, Electron. J. Differential Equations , (2001), No. 17, 19. (Review)
  47. George, R. K. and Nandakumaran, A. K. and Arapostathis, A., A note on controllability of impulsive systems, J. Math. Anal. Appl. , 241 (2000), 276-283. (Article) (Review)
  48. Nandakumaran, A. K. and George, R. K., Partial exact controllability of a nonlinear system, Rev. Mat. Univ. Complut. Madrid , 8 (1995), 181-196. (Review)

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