S. Baskar

Ph.D. Students Supervised

Postdoctoral Mentoring

Sponsored Research Projects

Publications

Journal Articles

1. Baskar, S. and Phoolan Prasad (2004), Riemann problem for kinematical conservation laws and geometrical features of nonlinear wavefronts. IMA Journal of Applied Mathematics, Vol 69, No 4, pp. 391–420.
2. Baskar, S. and Phoolan Prasad (2005), Propagation of curved shock fronts using shock ray theory and comparison with other theories. Journal of Fluid Mechanics, Vol 523, pp. 171–198.
3. Baskar, S. and Phoolan Prasad (2006), Formulation of the sonic boom problem by a maneuvering aerofoil as a one parameter family of Cauchy problems. Proceedings of the Indian Academy of Sciences, Mathematical Sciences, Vol 116, No 1, pp. 97–119.
4. Baskar, S., Francois Coulouvrat and Regis Marchiano (2007), Nonlinear reflection of grazing acoustic shock waves: unsteady transition from von Neumann to Mach to Snell-Descartes reflections. Journal of Fluid Mechanics, Vol 575, pp. 27–55.
5. Regis Marchiano, Francois Coulouvrat, Baskar, S., and Jean-Louis Thomas (2007), Experimental evidence of deviation from mirror reflection for acoustical shock waves. Phys. Rev. E 76, 056602.
6. Dahiya, D., Baskar, S., and Coulouvrat, F. (2013), Characteristic fast marching method for monotonically propagating fronts in a moving medium. SIAM J. Scientific Computing, Vol 35, No 4, pp. A1880–A1902.
7. Dahiya, D., Baskar, S. (2015), Characteristic fast marching method on triangular grids for the generalized eikonal equation in moving media. Wave Motion, Vol 59, pp. 81–93.
8. Kumar, Rakesh and Baskar, S. (2016), B-spline quasi-interpolation based numerical methods for some Sobolev type equations. J. Comput. Appl. Math., Vol 292, pp. 41–66.
9. Tripathi, Bharat B., Luca, Adrian, Baskar, S., Coulouvrat, François and Marchiano, Régis (2018), Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes. J. Comput. Phys., Vol 366, pp. 298–319.
10. Tripathi, Bharat B., Baskar, S., Coulouvrat F., and Marchiano R. (2018), Numerical observation of secondary Mach stem in weak acoustic shock reflection. J. Acoust. Soc. Am., Vol 144(2): EL125.
11. Murti, Ram and Baskar, S. (2019), Weakly nonlinear ray theory in inhomogeneous moving media filled with polytropic gases. Wave Motion, Vol 91, 102394, 12 pp.
12. Kumar, Rakesh, Choudhary, Ashok and Baskar, S. (2020), Modified cubic B-spline quasi-interpolation numerical scheme for hyperbolic conservation laws. Appl. Anal., Vol 99, No 1, pp. 158–179.
13. Mondal, Ramesh, Sivaji Ganesh, S., and Baskar, S. (2021), Quasilinear viscous approximations to scalar conservation laws. J. Math. Anal. Appl., Vol 502, No 2, Paper No. 125271, 29 pp.

Preprints

1. Rakesh Kumar and S. Baskar (2018), Hybrid BSQI-WENO Based Numerical Scheme for Hyperbolic Conservation Laws. arXiv:1810.01126
2. S. Akansha and S. Baskar (2021), Adaptive Padé-Chebyshev Type Approximation of Piecewise Smooth Functions. arXiv:2110.07173
3. Murti, R., Srivastava, H., and Baskar, S. (In preparation), Geometrical Features of Shock Front Propagation in Anisotropic Polytropic Gases.
4. Srivastava, H., Baskar, S., and Gowda, G. D. V. (In preparation), Conservative Discretization of a Nonlinear Hyperbolic Phase-Transport System with Curvature.

Conference Proceedings

1. Baskar, S. and Phoolan Prasad (2003), Kinematical conservation laws applied to study geometrical shapes of a solitary wave, in Wind Over Waves II: Forecasting and Fundamentals of Applications, ed. S. Sajjadi and J. Hunt, pp. 189–200.
2. Baskar, S. and Phoolan Prasad (2005), Kinematical conservation laws, ray theories and application to sonic boom, Proceedings of the 10th International Conference on Hyperbolic Problems, Yokohama Publishers.
3. Baskar, S., Murti, R., and Prasad, P. (2018), Kinematical conservation laws in inhomogeneous media. Theory, Numerics and Applications of Hyperbolic Problems II, Springer Proc. Math. Stat., 237, pp. 349–361, Springer, Cham.

Conference Talks (Selected)

1. Baskar, S. and Phoolan Prasad (2005), Calculation of the front part of the sonic boom signature for a maneuvering airfoil, 17th International Symposium on Nonlinear Acoustics, Penn State University, July 2005.
2. Baskar, S., Francois Coulouvrat and Regis Marchiano (2005), Irregular reflection of acoustical shock waves and von Neumann paradox, 17th International Symposium on Nonlinear Acoustics, Penn State University, July 2005.
3. Baskar, S. and Dahiya, D. (2016), Stable Higher Order Numerical Method for Anisotropic Eikonal Equation in Moving Media, 16th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, August 2016.
4. Baskar, S., Murty, R., and Prasad, P. (2018), Kinematical Conservation Laws: A Geometric Approach to Wave Propagation, 12th AIMS International Conference, National Taiwan University, July 2018.
5. Baskar, S., Murty, R., and Gowda, G. D. V. (2020), Geometric Approach to Weakly Nonlinear High-Frequency Waves, National Conference on PDEs and Applications, Periyar University, Salem, India, March 2020.
6. Baskar, S., Srivastava, H., and Gowda, G. D. V. (2026), Numerical-Asymptotic Methods for Multi-Scale Hyperbolic Systems, International Conference on Differential Equations: Theory, Modelling & Computing, SRM IST, Chennai, India, January 2026.
7. Baskar, S., Srivastava, H., and Gowda, G. D. V. (2026), Conservative Discretization of a Nonlinear Hyperbolic Phase-Transport System with Curvature, The 20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026), University of Stuttgart, Germany, May 2026.