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Publications

 

  • G. M. M. Reddy and R. K. Sinha, The Backward Euler A posteriori Anisotropic Error Analysis for Parabolic Integro-Differential Equations, Numerical Methods Partial Differential Equations, DOI: 10.1002/num.22049.

 

  • G. M. M. Reddy and R. K. Sinha, On the Crank-Nicolson Anisotropic A posteriori Error Analysis for Parabolic Integro-Differential Equations, Mathematics of Computation, DOI: 10.1090/mcom/3067.

 

  • G. M. M. Reddy and R. K. Sinha, Ritz-Volterra reconstructions and a posteriori error analysis of finite element method for parabolic integro-differential equations, IMA J. Numer. Anal., 35 (2015), no. 1, pp. 341-371.

 

  • M Tripathy and R.K Sinha, Convergence of H1-Galerkin mixed finite element method for parabolic problems with reduced regularity on Initial data, Numerical Analysis and Applications, 7 (2014), no. 3, 227 - 240.

 

  • B. Deka and R. K. Sinha, Finite Element Methods for Second-Order Linear Hyperbolic Interface Problems, Appl. Math. Comput.,  218(22), 2012, pp. 10922-10933.

 

  • M. Tripathy and R. K. Sinha, Superconvergence of $H^1$-Galerkin Mixed Finite Element  Methods for Second-Order Elliptic Equations, Numer. Funct. Anal. & Optim, , 33(3), 2012, pp. 320 - 337.

 

  • B. Deka and R. K. Sinha, L(L2) and L(H1) - Norms Error Estimates in Finite Element for Linear Parabolic Interface Problems, Numer. Funct. Anal. & Optim, , 32(3), 2011, pp. 267 - 285.

 

  •  R. K. Sinha, R. E. Ewing and R. D. Lazarov, Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data, SIAM J. Numer. Anal., 47(5), 2009,  pp. 3269-3292.

 

  • M. Tripathy and R. K. Sinha, Superconvergence of $H^1$-Galerkin Mixed Finite Element Method for Parabolic Problems, Applicable Analysis, 88 (2009), pp. 1213 - 1231.

 

  • R. K. Sinha and B. Deka, Finite element methods for semilinear elliptic and parabolic interface problems, Appl. Numer. Math., 59 (2009), 1870 - 1883

 

  • R. K. Sinha and B. Deka, An unfitted finite element method for elliptic and parabolic interface problems, IMA J. Numer. Anal., 27(3), 2007, pp. 529 - 549.

 

  • R. K. Sinha and Jurgen Geiser, Error estimates for finite volume element methods for convection-diffusion-reaction equations, Appl. Numer. Math., 57(1), 2007, pp. 59 - 72.

 

  • R. K. Sinha and B. Deka, A priori error estimates in finite element method for nonselfadjoint elliptic and parabolic interface problems, Calcolo, 43, 2006, pp. 253 - 278.

 

  •   R. K. Sinha, R. E. Ewing and R. D. Lazarov, Some new error estimates of a semidiscrete finite volume element method for parabolic integro-differential equation with nonsmooth initial data, SIAM J. Numer. Anal., 43 (2006), no. 6, pp. 2320-2343.

 

  • R. K. Sinha and B. Deka, On the convergence of finite element method for elliptic interface problems, Numer. Funct. Anal. & Optim, 27 (2006), no. 1, pp. 99 - 115.

 

  • R. K. Sinha and B. Deka, Optimal error estimates for linear parabolic problems with discontinuous coefficients, SIAM J. Numer. Anal., 43 (2005), no. 2, pp. 733-749.

 

  • R. K. Sinha and R. D. Lazarov, A new technique for error analysis of finite element approximations of parabolic problems with nonsmooth initial data, Approximation Theory; Academy Publishing House, 2004, 296-308.

 

  •  A. K. Pani, R. K. Sinha and A. K. Otta, An H^1-Galerkin mixed method for second order hyperbolic equations, Int. J. Numer. Anal. Model., 1  (2004),  no. 2, 111--130.

 

  • A. K. Pani, R. K. Sinha and S. K. Chung, The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation, Numer. Funct. Anal. & Optimiz., 24 (2003), no.3-4, 311--325.

 

  •  R. K. Sinha, Finite element approximations with quadrature for second-order hyperbolic equations, Numer. Methods Partial Differential Equations, 18 (2002), no. 4, 537--559.

 

  • A. K. Pani and R. K. Sinha, Finite element approximation with quadrature to a time dependent parabolic integro-differential Equation with nonsmooth  initial data,  J. Integral Equations & Applications, 13 (2001),  35--72.

 

  • A. K. Pani and R. K. Sinha, Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equations with nonsmooth data, Calcolo, 37 (2000), 181--205.

 

  • R. K. Sinha and A. K. Pani, The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro differential equations, Numer. Funct. Anal. & Optimiz., 19 (1998), 1129--1153.

 

  • A. K. Pani and R. K. Sinha, On the backward Euler method for time dependent parabolic integro-differential equation with nonsmooth initial data, J. Integral Equations  & Applications, 10 (1998), 219--249.

 

  •  A. K. Pani and R. K. Sinha, Quadrature based finite element approximation to time dependent parabolic equations with nonsmooth initial data,  Calcolo, 35 (1998), 225--248.

 

  • A. K. Pani and R. K. Sinha, On superconvergence results and negative norm estimates for parabolic integro-differential equations, J. Integral Equations & Applications, 8 (1996), 65--98.