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Prof(Dr.) Swarn Singh

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Professor Department of Mathematics ssingh@svc.ac.in


Educational Qualifications

  • B.A.(Hons.) Mathematics
  • M.A.(Hons.) Mathematics
  • M.Phil, Ph.D.

Areas of Specialization

  • Computational Methods for Differential Equations
  • Numerical Analysis

Administrative roles/ responsibilities

  • Convenor (Academic Planning Committee)
  • Member (Sports Committee)
  • Member (IQAC)

Courses Taught

  • Undergraduate Level: Calculus, Differential Equations and Mathematical Modelling, Probability and Mathematical Statistics, Numerical Analysis, Real Analysis, Coordinate Geometry, Mechanics, Algebra
  • Postgraduate Level: Differential Equations, Mechanics, Fluid Dynamics, Biostatistics, Statistics.
  • JYOTI TALWAR, R.K. MOHANTY and SWARN SINGH, “A New Spline in Compression Approximation for One Space Dimensional Quasilinear Parabolic Equations on a Variable Mesh”, Applied Mathematics and Computation, Vol. 260, pp. 82-96 (2015)
  • H.P. SINGH, AKANSHU MAHAJAN, N. SUKAVANAM, VEENA BUDHRAJA, SWARN SINGH, AMIT KUMAR and ANADI VASHISHT “Control of an Autonomous Industrial Fire Fighting Mobile Robot”, DU Journal of Undergraduate Research and Innovation, Vol. 1, pp. 124-130 (2015)
  • RAJNI ARORA, SURUCHI SINGH and SWARN SINGH, “Exponential B-spline Collocation for the Numerical Solution of One Space Dimensional Non- linear Wave Equation with Strong Stability Preserving Time Integration”, International Journal of Advance Research In Science and Technology, Vol. 4, Issue 11, pp. 102- 113 (2015)
  • JYOTI TALWAR, R.K. MOHANTY and SWARN SINGH, “A New Algorithm Based on Spline in Tension Approximation for 1D Quasi-linear Parabolic Equations on a Variable Mesh”, International Journal of Computer Mathematics, Vol.93(10), pp. 1771-1786(2016)
  • NEHA SHARMA, SWARN SINGH and SURUCHI SINGH, “Optimizing the Power Required in Hyperthermia Treatment using Magnetic Nanoparticles”, International Journal of Control and Automation, Vol. 9, Issue 9, pp. 181- 188 (2016)
  • SWARN SINGH, SURUCHI SINGH and RAJNI ARORA, “New Highly Accurate Stable Schemes for the Solution of Telegraphic Equation with Neumann Boundary Conditions”, Neural Parallel and Scientific Computations, Vol. 24, pp. 1- 14 (2016)
  • SWARN SINGH, SURUCHI SINGH and RAJNI ARORA, “Numerical Solution of Second-order One-Dimensional Hyperbolic Equation by Exponential B-spline Collocation Method”, Numerical Analysis and Applications, Vol. 10, Issue 2, pp. 164- 176 (2017)
  • SURUCHI SINGH, SWARN SINGH and ZHILIN LI, “A High Order Compact Scheme for a Thermal Wave Model of Bio- Heat Transfer with an Interface”, Numerical Mathematics: Theory Methods and Applications, Vol. 11, Issue 2, pp. 321-337 (2018)
  • SURUCHI SINGH, KAZUFUMI ITO, SWARN SINGH and ZHILIN LI, “A fourth order compact scheme for transport equation with discontinuous coefficienrs”, Numerical Mathematics: Theory Methods and Applications, Vol. 11, Issue 4, pp. 782-794 (2018)
  • R.K. MOHANTY, SACHIN SHARMA and SWARN SINGH, “A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations”, Adv Differ Equ https://doi.org/10.1186/s13662-018-1841-2 (2018)
  • R.K. MOHANTY, SACHIN SHARMA and SWARN SINGH, “A New Two- Level Implicit Scheme for the System of 1D Quasi- Linear Parabolic Partial Differential Equations Using Spline in Compression Approximations”, Differential Equations and Dynamical Systems, Vol. 27, pp. 327-356(2019)
  • SWARN SINGH, SURUCHI SINGH, RAJNI ARORA and PING LIN, “Unconditionally stable modified methods for the solution of two and three dimensional telegraphic equation with Robin boundary conditions”, Numerical Methods for Partial Differential Equations, Vol. 35, Issue 1, pp. 246-266 (2019)
  • SWARN SINGH, SURUCHI SINGH and RAJNI ARORA, “An Unconditionally Stable Numerical Method for the Solution of two Dimensional Second Order Hyperbolic Equation”, East Asian Journal on Applied Mathematics, Vol. 9, Issue 1, pp. 195-211 (2019)
  • R.K. MOHANTY, DEEPTI KAUR and SWARN SINGH, “A class of two-and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations”, Applied Mathematics and Computation, Vol. 352, pp. 68-87 (2019)
  • SURUCHI SINGH and SWARN SINGH, “High order convergent modified nodal bi-cubic spline collocation method for elliptic partial differential equation”, Numerical Methods for Partial Differential Equations, Vol. 36, Issue 5, pp. 1028-1043(2020)
  • RAJNI ARORA, SWARN SINGH and SURUCHI SINGH, “Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method”, Math Sci, Vol. 14, pp. 201-213(2020)
  • PREETY KUMARI, HARENDRA PAL SINGH and SWARN SINGH, “SEIAQRDT model for the spread of novel coronavirus (COVID-19): A case study in India”, Applied Intelligence, https://doi.org/10.1007/s10489-020-01929-4(2020)
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