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Nandakumaran, AK and Datti, PS and George, RK (2017) Ordinary differential equations: Principles and applications. [Book Chapter]
Murali, K and Nandakumaran, AK and Durduran, T and Varma, HM (2018) An in-expensive diffuse correlation spectroscopy system using low frame rate camera. In: Biophotonics Congress: Biomedical Optics Congress - Optical Tomography and Spectroscopy, OTS 2018, 3 - 6 April 2018, Hollywood.
Nandakumaran, AK and Sufian, A (2023) HIGH CONTRASTING DIFFUSION IN HEISENBERG GROUP: HOMOGENIZATION OF OPTIMAL CONTROL VIA UNFOLDING. In: SIAM Journal on Control and Optimization, 61 (3). pp. 1350-1374.
Nandakumaran, AK and Sufian, A and Thazhathethil, R (2023) Homogenization of elliptic PDE with L1source term in domains with boundary having very general oscillations. In: Asymptotic Analysis, 133 (1-2). pp. 123-158.
Nandakumaran, AK and Sufian, A and Thazhathethil, R (2022) Homogenization with strong contrasting diffusivity in a circular oscillating domain with L1 source term. In: Annali di Matematica Pura ed Applicata .
Monsurro, S and Nandakumaran, AK and Perugia, C (2022) Exact Internal Controllability for a Problem with Imperfect Interface. In: Applied Mathematics and Optimization .
Nandakumaran, AK and Sankar, K (2022) Homogenization of the heat equation in a noncylindrical domain with randomly oscillating boundary. In: Mathematical Methods in the Applied Sciences .
Nandakumaran, AK and Sufian, A (2021) Strong contrasting diffusivity in general oscillating domains: Homogenization of optimal control problems. In: Journal of Differential Equations, 291 . pp. 57-89.
Monsurro, S and Nandakumaran, AK and Perugia, C (2021) A note on the exact boundary controllability for an imperfect transmission problem. In: Ricerche di Matematica .
Nandakumaran, AK and Sufian, A (2021) Oscillating pde in a rough domain with a curved interface: Homogenization of an optimal control problem. In: ESAIM - Control, Optimisation and Calculus of Variations, 27 .
Mahadevan, R and Nandakumaran, AK and Prakash, R (2020) Homogenization of an Elliptic Equation in a Domain with Oscillating Boundary with Non-homogeneous Non-linear Boundary Conditions. In: Applied Mathematics and Optimization, 82 (1). pp. 245-278.
Murali, K and Nandakumaran, AK and Varma, HM (2020) On the equivalence of speckle contrast-based and diffuse correlation spectroscopy methods in measuring in vivo blood flow. In: Optics Letters, 45 (14). pp. 3993-3996.
Aiyappan, S and Nandakumaran, AK and Prakash, R (2020) Semi-linear optimal control problem on a smooth oscillating domain. In: Communications in Contemporary Mathematics, 22 (4).
Aiyappan, S and Nandakumaran, AK and Sufian, Abu (2019) Asymptotic analysis of a boundary optimal control problem on a general branched structure. In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES .
Murali, K and Nandakumaran, AK and Durduran, T and Varma, HM (2019) Recovery of the diffuse correlation spectroscopy data-type from speckle contrast measurements: Towards low-cost, deep-tissue blood flow measurements. In: Biomedical Optics Express, 10 (10). pp. 5395-5413.
Nandakumaran, AK and Sili, Ali (2016) HOMOGENIZATION OF A HYPERBOLIC EQUATION WITH HIGHLY CONTRASTING DIFFUSIVITY COEFFICIENTS. In: DIFFERENTIAL AND INTEGRAL EQUATIONS, 29 (1-2). pp. 37-54.
Nandakumaran, AK and Sili, Ali (2016) HOMOGENIZATION OF A HYPERBOLIC EQUATION WITH HIGHLY CONTRASTING DIFFUSIVITY COEFFICIENTS. In: DIFFERENTIAL AND INTEGRAL EQUATIONS, 29 (1-2). pp. 37-54.
Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, AK (2015) A FRAMEWORK FOR THE ERROR ANALYSIS OF DISCONTINUOUS FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS AND APPLICATIONS TO C-0 IP METHODS. In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 36 (11). pp. 1388-1419.
Nandakumaran, AK and Prakash, Ravi and Sardar, Bidhan Chandra (2015) PERIODIC CONTROLS IN AN OSCILLATING DOMAIN: CONTROLS VIA UNFOLDING AND HOMOGENIZATION. In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 53 (5). pp. 3245-3269.
Mohanan, KP and Nandakumaran, AK and Roy, D and Vasu, RM (2015) Ultrasound-modulated optical tomography: direct recovery of elasticity distribution from experimentally measured intensity autocorrelation. In: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 32 (5). pp. 955-963.
Nandakumaran, AK and Visintin, Augusto (2015) Variational approach to homogenization of doubly-nonlinear flow in a periodic structure. In: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 120 . pp. 14-29.
Nandakumaran, AK and Visintin, Augusto (2015) Variational approach to homogenization of doubly-nonlinear flow in a periodic structure. In: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 120 . pp. 14-29.
Nandakumaran, AK and Prakash, Ravi and Raymond, JP (2014) STOKES' SYSTEM IN A DOMAIN WITH OSCILLATING BOUNDARY: HOMOGENIZATION AND ERROR ANALYSIS OF AN INTERIOR OPTIMAL CONTROL PROBLEM. In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 35 (3). pp. 323-355.
Hyvonen, N and Nandakumaran, AK and Varma, HM and Vasu, RM (2013) Generalized eigenvalue decomposition of the field autocorrelation in correlation diffusion of photons in turbid media. In: Mathematical Methods in the Applied Sciences, 36 (11). pp. 1447-1458.
De Maio, U and Nandakumaran, AK (2013) Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary. In: Asymptotic Analysis, 83 (3). pp. 189-206.
Tadi, M and Nandakumaran, AK and Sritharan, SS (2011) An inverse problem for Helmholtz equation. In: Inverse Problems in Engineering, 19 (6). pp. 839-854.
Chalishajar, DN and George, RK and Nandakumaran, AK and Acharya, FS (2010) Trajectory controllability of nonlinear integro-differential system. In: Journal of the Franklin Institute, 347 (7). pp. 1065-1075.
Muslim, M and Conca, Carlos and Nandakumaran, AK (2010) Approximation of solutions to fractional integral equation. In: Computers & Mathematics with Applications, 59 (3). pp. 1236-1244.
Varma, Hari M and Banerjee, B and Roy, D and Nandakumaran, AK and Vasu, RM (2010) Convergence analysis of the Newton algorithm and a pseudo-time marching scheme for diffuse correlation tomography. In: Journal of the Optical Society of America A: Optics, Image Science, and Vision, 27 (2). pp. 259-267.
Varma, HM and Banerjee, B and Nandakumaran, AK and Vasu, RM and Roy, D (2009) Pseudo-time marching schemes for inverse problems in structural health assessment and medical imaging. In: Current science, 97 (8). pp. 1220-1226.
Nandakumaran, AK and Panigrahi, S (2009) Oscillation criteria for differential equations of second order. In: Mathematica Slovaca, 59 (4). pp. 433-454.
Varma, Hari M and Nandakumaran, AK and Vasu, RM (2009) Study of turbid media with light: Recovery of mechanical and optical properties from boundary measurement of intensity autocorrelation of light. In: Journal of the Optical Society of America A: Optics, Image Science, and Vision, 26 (6). pp. 1472-1483.
Muthukumar, T and Nandakumaran, AK (2009) Homogenization of low-cost control problems on perforated domains. In: Journal of Mathematical Analysis and Applications, 351 (1). pp. 29-42.
Nandakumaran, AK (2007) An Overview of Homogenization. In: Journal of the Indian Institute of Science, 87 (4).
Varma, Hari M and Vasu, Mohan R and Nandakumaran, AK (2007) Direct reconstruction of complex refractive index distribution from boundary measurement of intensity and normal derivative of intensity. In: Journal of the Optical Society of America A, 24 (10). pp. 3089-3099.
George, RK and Chalishajar, DN and Nandakumaran, AK (2007) Exact controllability of the nonlinear third-order dispersion equation. In: Journal of Mathematical Analysis and Applications, 332 (2). pp. 1028-1044.
Danumjaya, P and Nandakumaran, AK (2006) Orthogonal cubic spline collocation method for the Cahn–Hilliard equation. In: Applied Mathematics and Computation, 182 (2). pp. 1316-1329.
Nandakumaran, AK and Ratnakumar, PK (2005) Schrodinger equation and the oscillatory semigroup for the Hermite operator. In: Journal of Functional Analysis, 224 (2). pp. 371-385.
Nandakumaran, AK and George, Raju K (2004) Exact Controllability of a Semilinear Thermoelastic System. In: Numerical Functional Analysis and Optimization, 25 (3 - 4). pp. 271-285.
Ghosh, Mrinal K and Nandakumaran, AK and Rao, Mallikarjuna KS (2003) A zero sum differential game in a Hilbert space. In: Journal of Mathematical Analysis and Applications, 283 (1). pp. 167-179.
Nandakumaran, AK and Rajesh, M (2002) Homogenization of a parabolic equation in perforated domain with Dirichlet boundary condition. In: Proceedings of the Indian Academy of Sciences Mathematical Sciences, 112 (3). pp. 425-439.
Nandakumaran, AK and Rajesh, M (2002) Homogenization of a parabolic equation in perforated domain with Neumann boundary condition. In: Proceedings of the Indian Academy of Sciences Mathematical Sciences, 112 (1). pp. 195-207.
Nandakumaran, AK (2002) Convergence of the boundary control for the wave equation in domains with holes of critical size. In: Electronic Journal of Differential Equations, 2002 (35). pp. 1-10.
George, RK and Nandakumaran, AK and Arapostathis, Aristotle (2000) A Note on Controllability of Impulsive System. In: Journal of Mathematical Analysis and Applications, 241 (2). pp. 276-283.
