Published/Accepted:
- Convergence Analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces, Accepted in J. Inverse and Ill-posed Problems (with G. Mittal)
- Novel multi-level projected iteration to solve inverse problems with nearly optimal accuracy, J. Optim. Theory Appl.,
(with G. Mittal)
- Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates, Journal of Differential Equations 326, 164--200, 2022 (with P.K. Barik, P. Rai)
- On a generalized stochastic Burgers' equation perturbed by Volterra noise, J. Math. Anal. Appl. 506(1), Article No. 125638, 2022 (with V. Kumar, M.T. Mohan)
- Convergence rates for iteratively regularized Gauss-Newton method subject to stability constraints, J. Comput. Appl. Math. 400, Article No. 113744, 2022(with G. Mittal)
- Existence and non-existence for collision-induced breakage equation, SIAM J. Math. Anal. 53(4), 4605--4636, 2021 (with Ph. Laurencot)
- A novel two-point gradient method for regularization of inverse problems in Banach spaces, Applicable Analysis, https://doi.org/10.1080/00036811.2021.1939312 (with G. Mittal)
- Existence and uniqueness of weak solutions to the singular coagulation equation with collisional breakage, NoDEA Nonlinear Differential Equations Appl. 28, Article No. 34, 2021(with P.K. Barik)
- Weak solutions to the collision-induced breakage equation with dominating coagulation, Journal of Differential Equations 288, 690-729, 2021 (with Ph. Laurencot)
- Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates, Kinetic and Related Models, 14(2):389-406, 2021 (with P.K. Barik, R. Kumar)
- Iteratively regularized Landweber iteration method: Convergence analysis via Holder Stability, Applied Mathematics and Computation, 392: Article No. 125744, 2021 (with G. Mittal)
- On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet, Stochastic Analysis and Applications, 39(4), 610-630, 2021 (with V. Kumar)
- Weak solutions to the continuous coagulation model with collisional breakage, Discrete and Continuous Dynamical Systems-Series A, 40(11), 6115-6133, 2020 (with P.K. Barik)
- On Variational Regularization: Finite dimension and Holder stability, J. Inverse and Ill-posed Problems, 29(2): 283-294, 2021(with G. Mittal)
- Global classical solutions to the continuous coagulation equation with collisional breakage, Z. Angew. Math. Phys. (ZAMP) 71: Article No. 38, 1-23, 2020 ( with P.K. Barik)
- Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernel, Proceedings of Royal Society Edinburgh A 150(4), 18-5-1825, 2020 ( with P.K. Barik and Ph. Laurençot)
- Generalized stochastic Burgers' equation with non-Lipschitz diffusion coefficient, Commun. Stoch. Anal., 12(3), 329-342, 2018 (with V. Kumar)
- A note on mass-conserving solutions to the coagulation-fragmentation equation by using non-conservative approximation, Kinetic and Related Models, 11 (5), 1125-1138, 2018 (with P.K. Barik)
- Convergence of the cell average technique for Smoluchowski coagulation equation, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) , 49 (2), 349-372, 2015 arxiv preprint (with A.K. Nagar)
- On the uniqueness for coagulation and multiple fragmentation equation, Kinetic and Related Models (KRM), 6(3): 589-599, 2013 arxiv preprint
- Stochastic Burger's equation with polynomial nonlinearity driven by Levy process, Commun. Stoch. Anal. (COSA), 7(1): 91-112, 2013 (with E. Hausenblas)
- Convergence analysis of sectional methods for solving aggregation population balance equations: The fixed pivot technique, Nonlinear Analysis: Real World Applications, 14: 2068-2090, 2013 (with E. Hausenblas)
- Weak solutions to the continuous coagulation equation with multiple fragmentation, Nonlinear Analysis: Theory, Methods and Applications, 75: 2199-2208, 2012 (with Ph. Laurençot, and G. Warnecke)
- Convergence of the fixed pivot technique for continuous Smoluchowski coagulation equation, Proc. Appl. Math. Mech., 11:701-702:2011 (with E. Hausenblas)
- Uniqueness for coagulation-fragmentation equations with strong fragmentation, Z. Angew. Math. Phys. (ZAMP) 62: 1047-1063, 2011 (with G. Warnecke)
- The continuous coagulation equation with multiple fragmentation, J. Math. Anal. Appl. 374: 71-87, 2011 (with J. Kumar and G. Warnecke)