A. K. Giri : Mathematical and numerical for coagulation-fragmentation equations, VDM Verlag Dr. Mueller, Saarbuecken, Germany, ISBN-978-3639375244, PhD thesis, 2010

    Published/Accepted:

1. The continuous collision-induced nonlinear fragmentation equation with non-integrable fragment daughter distributions, Journal of Differential Equations, 403, 235-271,2024 (with R. G. Jaiswal and Ph. Laurencot)
2. A note on the Discrete Coagulation Equations with Collisional Breakage, Acta Applicandae Mathematicae, 189, 5, 2024 (with M. Ali)
3. The discrete collision-induced breakage equation with mass transfer: well-posedness and stationary solutions, SIAM J. Math. Anal., 56 (3), 2915-2937, 2024 (with M. Ali and Ph. Laurencot)
4. On the discrete Safronov-Dubovskiǐ coagulation equations: well-posedness, mass-conservation and asymptotic behaviour, Math. Meth. Appl. Sci. 47(6), 5191-5206, 2024 (with M. Ali and P. Rai)
5. Well-posedness of the discrete collision-induced breakage equation with unbounded fragment distribution, Nonlinear Analysis: Real World Applications, 75, 103967, 2024 (with M. Ali and Ph. Laurencot)
6. Numerical study of finite volume scheme for coagulation-fragmentation equations with singular rates, Journal of Hyperbolic Differential Equations, 20 (4), 793-823, 2023 (with S. K. Bariwal, P. K. Barik and R. Kumar)
7. Convergence analysis of inexact Newton-Landweber iteration with frozen derivative in Banach spaces, J. Inverse and Ill-posed Problems, 2023, https://doi.org/10.1515/jiip-2023-0002(with G. Mittal)
8. The continuous Redner-Ben-Avraham-Kahng coagulation system: well-posedness and asymptotic behaviour, Evolution Equations and Control Theory, 12(5), 1247-1267, 2023 (with P. Verma, F. da Costa)
9. Instantaneous gelation and nonexistence of weak solutions for the Oort-Hulst-Safronov coagulation model, Proceedings of Royal Society London A, 479, 20220385, 2023 (with P. Rai, V. John)
10. A modified steepest descent method for solving non-smooth inverse problems, Journal of Computational and Applied Mathematics, 424, 114997, 2023 (with G. Mittal)
11. Improved local convergence analysis of Landweber iteration in Banach spaces, Archiv der Mathematik, 120, 195–202, 2023 (with G. Mittal)
12. Nonstationary iterated Tikhonov regularization: Convergence analysis via Hölder stability, Inverse Problems, 38, 125008, 2022 (with G. Mittal)
13. Global existence of solutions to the discrete Safronov–Dubovskii coagulation equations and failure of mass-conservation, J. Math. Anal. Appl, 519(1), 126755, 2023 (with M. Ali)
14. Convergence Analysis of an optimally accurate frozen Multi-Level projected steepest descent Iteration for solving inverse problems, J. Complexity, 101711, 2022 (with G. Mittal)
15. Convergence Analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces, J. Inverse and Ill-posed Problems, 30(6), 857-876, 2022 (with G. Mittal)
16. Novel multi-level projected iteration to solve inverse problems with nearly optimal accuracy, J. Optim. Theory Appl., 194:643–680, 2022 (with G. Mittal)
17. 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)
18. On a generalized stochastic Burger's equation perturbed by Volterra noise, J. Math. Anal. Appl., 506(1), Article No. 125638, 2022 (with V. Kumar, M.T. Mohan)
19. Convergence rates for iteratively regularized Gauss-Newton method subject to stability constraints,J. Comput. Appl. Math., 400, Article No. 113744, 2022(with G. Mittal)
20. A novel two-point gradient method for regularization of inverse problems in Banach spaces,Applicable Analysis, 101 (18), 6596-6622, 2022 (with G. Mittal)
21. Existence and non-existence for collision-induced breakage equation, SIAM J. Math. Anal., 53(4), 4605--4636, 2021 (with Ph. Laurencot)
22. 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)
23. Weak solutions to the collision-induced breakage equation with dominating coagulation, Journal of Differential Equations 288, 690-729, 2021 (with Ph. Laurencot)
24. 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)
25. Iteratively regularized Landweber iteration method: Convergence analysis via Holder Stability,Applied Mathematics and Computation, 392: Article No. 125744, 2021 (with G. Mittal)
26. 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)
27. 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)
28. On Variational Regularization: Finite dimension and Holder stability, J. Inverse and Ill-posed Problems,29(2), 283-294, 2021(with G. Mittal)
29. 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)
30. Mass-Conserving solutions to the Smoluchowski coagulation equations with singular kernel,Proceedings of Royal Society Edinburgh, A 150(4), 1805-1825, 2020 ( with P.K. Barik and Ph. Laurençot)
31. Generalized stochastic Burgers' equation with non-Lipschitz diffusion coefficient, Commun. Stoch. Anal., 12(3), 329-342, 2018 (with V. Kumar)
32. 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)
33. Convergence of the cell average technique for Smoluchowski coagulation equation, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 49 (2), 349-372, 2015(with A.K. Nagar)
34. On the uniqueness for coagulation and multiple fragmentation equation, Kinetic and Related Models (KRM), 6(3), 589-599, 2013
35. Stochastic Burger's equation with polynomial nonlinearity driven by Levy process, Commun. Stoch. Anal. (COSA), 7(1), 91-112, 2013 (with E. Hausenblas)
36. 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)
37. Weak solutions to the continuous coagulation equation with multiple fragmentation, Nonlinear Analysis: Theory, Methods and Applications, 75, 2199-2208, 2012 (with Ph. Laurencot, and G. Warnecke)
38. Uniqueness for coagulation-fragmentation equations with strong fragmentation, Z. Angew. Math. Phys. (ZAMP), 62, 1047-1063, 2011 (with G. Warnecke)
39. The continuous coagulation equation with multiple fragmentation, J. Math. Anal. Appl., 374: 71-87, 2011 (with J. Kumar and G. Warnecke) 

1. Prof. Philippe Laurencot, CNRS, University of Toulouse, France, Research collaboration and Invited Lecture Series under Indo-French research proect funded by IFCAM (24/02/2022-23/03/2022)
2. Prof. Philippe Laurencot, CNRS, University of Toulouse, France, Research collaboration and Invited Lecture Series under Indo-French research proect funded by IFCAM (26/02/2020-20/03/2020)
3. Prof. Volker John, Weierstass Institute for Applied Analysis and Stochastics (WIAS) and Freie Unversity Berlin, Germany Research Collaboration and Invited Lecture Series under Indo-German research project funded by DST-DAAD (21/01/2020-31/01/2020)
4. Prof. Fernando da Costa, IST Lisbon and University of Aberta Lisbon, Portugal, Research collaboration and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (25/08/2019-04/09/2019)
5. Prof. Michael Grinfeld, University of Strathclyde, Glasgow, UK, Research collaboration and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (25/08/2019-02/09/2019)
6. Prof. Youcef Mammeri, LAMFA, CNRS, University of Picardie Jules Verne, Amiens, France, Research collaboration and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (28/08/2019-04/09/2019)
7. Prof. Joaquim Correia, University of Evora, Portugal, Co-organizer and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (25/08/2019-04/09/2019)
8. Prof. Nabil Badjaoui, LAMFA, CNRS, University of Picardie Jules Verne, Amiens, France, Research Collaboration and and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (28/08/2019-04/09/2019)
9. Prof. Marilia Pires, University of Evora, Portugal, Research Collaboration and Invited speaker in West Asian Mathematical School funded by CIMPA, IMU and NBHM (25/08/2019-04/09/2019)
10. Prof. Fernando da Costa, IST Lisbon and University of Aberta Lisbon, Portugal, Research collaboration and Invited Lecture Series (13/01/2019-25/01/2019)
11. Prof. Youcef Mammeri, LAMFA, CNRS, University of Picardie Jules Verne, Amiens, France, Research Collaboration and Invited Lecture (13/01/2019-16/01/2019)
12. Prof. Nabil Badjaoui, LAMFA, CNRS, University of Picardie Jules Verne, Amiens, France, Research Collaboration and Invited Lecture (13/01/2019-16/01/2019)
13. Prof. Marilia Pires, University of Evora, Portugal, Research Collaboration and Invited Lecture (13/01/2019-16/01/2019)
14. Prof. Jacek Banasiak, University of Pretoria, South Africa, GIAN Program and Research collaboration (19/11/2018-01/12/2018)

• SIAM Journal of Applied Mathematics
• IMA Journal of Numerical Analysis
• Mathematical Reviews/MathSciNet (AMS)
• Proceedings of the Royal Society A
• Journal of European Mathematical Society
• Journal of Numerical Mathematics
• Proceedings of the National Academy of Sciences
• Mathematical Methods in the Applied Sciences
• Mathematical Modelling and Analysis
• Korean Journal of Chemical Engineering
• Differential Equations and Dynamical Systems
• Applications of Mathematics
• Inverse Problems and Imaging
• Journal of Mathematical Analysis and Applications
• Z. Angew. Math. Phys. (ZAMP)
• Studies in Applied Mathematics
• Journal of Global Optimization
• Acta Applicandae Mathematicae
• Inverse Problems