12. Mukul Dwivedi and Andreas Rupp. “A Convergent Hybridizable Discontinuous Galerkin Method for Einstein–Scalar Equations.” Preprint (2026); submitted. arXiv:2604.04613.
11. Mukul Dwivedi, Jesse Railo, and Andreas Rupp. “A Galerkin Finite Element Method for the Fractional Calderón Problem.” Preprint (2026); submitted. arXiv:2603.26287.
10. Mukul Dwivedi and Andreas Rupp. “A Hybridizable Discontinuous Galerkin Method for the Ostrovsky Equation.” Preprint (2026); submitted. arXiv:2602.13786.
9. Mukul Dwivedi and Andreas Rupp. “A Numerical Method for the Fractional Zakharov–Kuznetsov Equation.” Preprint (2025; revised 2026); submitted. arXiv:2510.21355.
8. Mukul Dwivedi, Ruben Gutendorf, and Andreas Rupp. “A Hybridizable Discontinuous Galerkin Method for the Nonlocal Camassa–Holm–Kadomtsev–Petviashvili Equation.” SIAM Journal on Scientific Computing, forthcoming (2026). arXiv:2601.13800.
7. Mukul Dwivedi and Andreas Rupp. “A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation.” Numerical Methods for Partial Differential Equations 42(4) (2026), Article e70125. DOI: 10.1002/num.70125.
6. Mukul Dwivedi and Tanmay Sarkar. “Spectral Galerkin Method for the Zero Dispersion Limit of the Fractional Korteweg-de Vries Equation.” Physica D: Nonlinear Phenomena 493 (2026), Article 135253. DOI: 10.1016/j.physd.2026.135253.
5. Mukul Dwivedi and Tanmay Sarkar. “Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation.” Numerical Methods for Partial Differential Equations 42(4) (2026), Article e70106. DOI: 10.1002/num.70106.
4. Mukul Dwivedi and Tanmay Sarkar. “Analysis of a Fully Discrete Local Discontinuous Galerkin Scheme for the Fractional Korteweg-de Vries Equation.” Communications on Applied Mathematics and Computation (2026), published online; forthcoming in a numbered issue. DOI: 10.1007/s42967-025-00537-8.
3. Mukul Dwivedi and Tanmay Sarkar. “Convergence of a Conservative Crank–Nicolson Finite Difference Scheme for the KdV Equation.” Mathematical Methods in the Applied Sciences 48(17) (2025), 15602–15619. DOI: 10.1002/mma.70035.
2. Mukul Dwivedi and Tanmay Sarkar. “Stability and Convergence Analysis of a Crank–Nicolson Galerkin Scheme for the Fractional Korteweg-de Vries Equation.” The SMAI Journal of Computational Mathematics 10 (2024), 107–139. DOI: 10.5802/smai-jcm.108.
1. Mukul Dwivedi and Tanmay Sarkar. “Fully Discrete Finite Difference Schemes for the Fractional Korteweg-de Vries Equation.” Journal of Scientific Computing 101(2) (2024), Article 30. DOI: 10.1007/s10915-024-02672-5.
Ruben Gutendorf — Saarland University, Germany
Jesse Railo — LUT University, Finland
Andreas Rupp — Saarland University, Germany
Tanmay Sarkar — Indian Institute of Technology Jammu, India