Publications

Inverse Problems (17 Publications)

Selected Publications:

1. Gaurav Mittal, Nonstationary iterated frozen Tikhonov regularization with uniformly convex penalty terms for solving inverse problems, Applied Mathematics and Computation, 468, 128519, 2024.

2. Gaurav Mittal, A. K. Giri, A modified steepest descent method for solving non-smooth inverse problems, Journal of Computational and Applied Mathematics, 424, 114997, 2023.

3. Gaurav Mittal, A. K. Giri, Convergence analysis of an optimally accurate frozen multi-level projected steepest descent iteration for solving inverse problems, Journal of Complexity, 75, 101711, 2023.

4. Gaurav Mittal, A. K. Giri, Nonstationary iterated Tikhonov regularization: Convergence analysis via Hölder stability, Inverse Problems, 38(12), 125008, 2022.

5. Gaurav Mittal, A. K. Giri, Novel Multi-level Projected Iteration to Solve Inverse Problems with Nearly Optimal Accuracy, Journal of Optimization Theory and Applications, 194, 643-680, 2022.

6. Gaurav Mittal, A. K. Giri, On variational regularization: Finite dimension and Hölder stability, Journal of Inverse and Ill-Posed Problems, 29(2), 283-294, 2022.

7. Gaurav Mittal, A. K. Giri, Improved local convergence analysis of the Landweber iteration in Banach spaces, Archiv Der Mathematik,  120(2), 195-202, 2023.

Algebra (15+ Publications)

Selected Publications:

1. Gaurav Mittal, R. K. Sharma, Computation of Wedderburn decomposition of groups algebras from their subalgebra, Bulletein of Korean Mathematical Society, 59(3), 781-787, 2022.

2. C. Dietzel, Gaurav Mittal, Summands of finite group algebras, Czechoslovak Mathematical Journal, 71(4), 1011-1014, 2021.

3. Gaurav Mittal, R. K. Sharma, Computation of the Wedderburn decomposition of semisimple group algebras of groups up to order 120, Annales Mathematicae et Informaticae,  59, 54-70, 2023.

4. Gaurav Mittal, R. K. Sharma, The unit groups of semisimple group algebras of some non-metabelian groups of order 144, Mathematica Bohemica,  148(4), 631-646, 2023.

5. S. Mittal, Gaurav Mittal, R. K. Sharma, A note on friendly and solitary groups, International Electronic Journal of Algebra, 34, 197-206, 2023.

6. Gaurav Mittal, R. K. Sharma, Unit group of semisimple group algebras of some non-metabelian groups of order 120, Asian-European Journal of Mathematics, 15(03), 2250059, 2022.

7. S. Narain, S. Kumar, Gaurav Mittal, S. Kumar, Groups whose derived subgroup is not supplemented by any proper subgroup, Armenian Journal of Mathematics, 14(10), 1-13, 2022.

Cryptography (10+ Publications)

Selected Publications:

1. Gaurav Mittal, S. Kumar, S. Kumar, S. Mittal,  A novel and efficient undeniable signature scheme based on group ring, Soft Computing, 28, 13053–13070 (2024).

2. S. Kumar, G. Mittal, A. Yadav, Three Party Post Quantum Secure Lattice Based Construction of Authenticated Key Establishment Protocol for Mobile Communication, Concurrency and Computation: Practice and Experience,  37(3), e8369, 2025.

3. Gaurav Mittal, S. Kumar, S. Kumar, A quantum secure ID-based cryptographic encryption based on group rings, Sadhana (Indian Academy of Sciences), 47(1), 35, 2022.

4. Gaurav Mittal, S. Kumar, S. Kumar, An efficient procedure for online/offline ID-based signature using extended chaotic maps and group ring, Security and Privacy, 6(3), e279, 2023.

5. S. Kumar, Gaurav Mittal, S. Kumar, Digital signature schemes based on group ring, SN Computer Science, 3(5), 398, 2022.

6. Gaurav Mittal, S. Kumar, S. Narain, S. Kumar, Group ring based public key cryptosystems, Journal of Discrete Mathematical Sciences and Cryptography, 25(6), 1683-1704, 2022.

7. Gaurav Mittal, S. Kumar, S. Kumar, Novel public-key cryptosystems based on NTRU and algebraic structure of group rings, Journal of Information and Optimization Sciences, 42(7), 1507-1521, 2021.

Boolean Functions (1 Publication)

1. S. Kumar, H. Singh, Gaurav Mittal, A Novel Approach Towards Degree and Walsh-Transform of Boolean Functions, International Journal of Foundations of Computer Sciences, 33(5), 453-479, 2022.