Optimal L2-error estimates for the semidiscrete Galerkin\ud approximation to a second order linear parabolic initial and\ud boundary value problem with nonsmooth initial data

In this article, we have discussed a priori error estimate for the semidiscrete Galerkin approximation of a general second order parabolic initial and boundary value problem with non-smooth initial data. Our analysis is based on an elementary energy argument without resorting to parabolic duality technique. The proposed technique is also extended to a semidiscrete mixed method for parabolic problems. Optimal L2-error estimate is derived for both cases, when the initial data is in L2

Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data

In this paper, a backward Euler method is discussed for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids of order one with the forcing term independent of time or in $L^{\infty}$ in time. It is shown that the estimates of the discrete solution in Dirichlet norm is bounded uniformly in time. Optimal a priori error estimate in L2-norm is derived for the discrete problem with non-smooth initial data. This estimate is shown to be uniform in time, under the assumption of uniqueness condition

Optimal L2 estimates for semidiscrete Galerkin methods for\ud parabolic integro-differential equations with nonsmooth data

In this article, we discuss an alternate approach to a priori error estimates for the semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth initial data. It is based on energy arguments and on a repeated use of time integration, but without using parabolic type duality technique. Optimal L2-error estimate is derived for the semidiscrete approximation, when the initial data is in L2

Satum – Sahpolo Song

One recording in which Mrs Satum Ronrang sings the Sahpolo song. This consists of one sound file: nst-ron_20130413_02_Q3HD_DG_Satum_SahpoloSong The details of this recording are as follows: nst-ron_20130413_02_Q3HD_DG_Satum_SahpoloSong_Duration 1’35”, Sahpolo Son

Maya – CALMSEA word list (2)

Two recordings in which Mrs Maya Ronrang provides some word lists in the Rera variety of Tangsa. This consists of two sound files: nst-ron_20130412_01_Q3HD_DG_Maya_WordList nst-ron_20130412_02_Q3HD_DG_Maya_WordList The details of these recordings are as follows: nst-ron_20130412_01_Q3HD_DG_Maya_WordList_Duration 24’08”, CALMSEA word list – Maya Ronrang’s voice is very soft nst-ron_20130412_02_Q3HD_DG_Maya_WordList_Duration 42’29”, CALMSEA word list – Maya Ronrang’s voice is very sof

Moipan – History

One recording in which Mrs Moipan Ronrang provides some historical information. This consists of one sound file: nst-ron_20130413_01_Q3HD_DG_Moipan_History The details of this recording are as follows: nst-ron_20130413_01_Q3HD_DG_Moipan_History_Duration 18’12”, History = starting with the crossing of the Tanai Wakrap (=RON_20130413_01_ZoomQ3HD_DG_MR_Story from Deep

Satum – History, from the origin at Rokachung

Two recordings in which Mrs Satum Ronrang talks about the history of the Ronrang. This consists of two video files: nst-ron_20130420_01_Q3HD_DG_Satum_History.mov nst-ron_20130420_02_Q3HD_DG_Satum_History_Translation.mov The details of these recordings are as follows: nst-ron_20130420_01_Q3HD_DG_Satum_History.mov_Duration 6’44”, History, reading about the history of the Ronrang, their origin at Rokachung and then the crossing at Tanai Wakrap. This is translated, sentence by sentence, into Assamese as nst-ron_20130420_02_Q3HD_DG_Satum_History_Translation.mov nst-ron_20130420_02_Q3HD_DG_Satum_History_Translation.mov_Duration 9’59”, Translation of the history at nst-ron_20130420_01_Q3HD_DG_Satum_History.mo