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Prakash, R., & Sufian, A. (2026). Homogenization of boundary optimal control problems in a rough domain with high contrast diffusion. SIAM Journal on Control and Optimization, 64(4), 3107–3131. DOI: 10.1137/25M1759355
Category: Mathematics
On the exponential Diophantine equation cx2+p12m1 p22m2 … pr2mr=4yq
Hoque, A., Srinivas, K., & Sangale, U. K. (2026). On the exponential Diophantine equation cx2 + p12m1 p22m2 … pr2mr = 4yq. Journal of the Ramanujan Mathematical Society, 41(2), 185–192.
A Comparative Study of Neural Network Solvers for Second-Order Boundary Value Problems
Sau, R. C., & Yin, L. (2026). A comparative study of neural network solvers for second‐order boundary value problems. Numerical Methods for Partial Differential Equations, 42(5). DOI: 10.1002/num.70134
Growth of Fourier–Lebesgue norms for mKdV
Haque, S., Killip, R., Vişan, M., & Zhang, Y. (2026). Growth of Fourier–Lebesgue norms for mKdV. Partial Differential Equations and Applications, 7(4). DOI: 10.1007/s42985-026-00393-y
Asymptotic Analysis of Maxwell’s Equations to Study Shielding Through a Thin Periodic Perforated Metallic Layer
Aiyappan, S., Griso, G., Orlik, J., & Sufian, A. (2026). Asymptotic analysis of Maxwell’s equations to study shielding through a thin periodic perforated metallic layer. Applied Mathematics and Optimization, 94(1). DOI: 10.1007/s00245-026-10456-6
On the Hardy-Hénon heat equation with an inverse square potential
Bhimani, D. G., Haque, S., & Ikeda, M. (2026). On the Hardy-Hénon heat equation with an inverse square potential. Nonlinear Analysis, 271. DOI: 10.1016/j.na.2026.114148
Distinct square-free parts of discriminants of polynomials and quadratic fields
Jakhar, A., Kotyada, S., & Mukhopadhyay, A. (2026). Distinct square-free parts of discriminants of polynomials and quadratic fields. The Ramanujan Journal, 69(2). DOI: 10.1007/s11139-026-01314-8
Generalized determinantal representation of hypersurfaces
El Mazouni, A., Nagaraj, D. S., & Sarkar, S. (2026). Generalized determinantal representation of hypersurfaces. Bulletin Des Sciences Mathematiques, 210. DOI: 10.1016/j.bulsci.2026.103829
An adaptive error estimator for stationary Navier-Stokes equations using variational physics informed neural networks
Hu, X., Li, G., Li, J., Sau, R. C., & Zhou, Z. (2026). An adaptive error estimator for stationary Navier-Stokes equations using variational physics informed neural networks. Computer Methods in Applied Mechanics and Engineering, 455. DOI: 10.1016/j.cma.2026.118876
Asymptotic formula for shifted convolution sums involving the coefficients of an L-function
Godara, N. K., Jakhar, A., & Srinivas, K. (2026). Asymptotic formula for shifted convolution sums involving the coefficients of an L-function. Canadian Mathematical Bulletin, 69(1), 236-255. DOI: 10.4153/S0008439525100854