33 research outputs found
Potential of Avoid-Shift-Improve Interventions in Achieving Climate Targets of Passenger Transportation Sector
No full textThe repository holds data outputs from the research paper titled 'Potential of Avoid-Shift-Improve Interventions in Achieving Climate Targets of Passenger Transportation Sector,' authored by Deepjyoti Das, Pradip P. Kalbar, and Nagendra R. Velaga from the Indian Institute of Technology (IIT) Bombay, India.
For details, you can contact the corresponding author Deepjyoti Das at [email protected]
OPTIMAL ESTIMATES FOR THE SEMIDISCRETE GALERKIN METHOD APPLIED TO PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA
No full textAWe propose and analyse 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. The method is based on energy arguments combined with repeated use of time integration, but without using parabolic-type duality techniques. An optimal L2-error estimate is derived for the semidiscrete approximation when the initial data is in L2. A superconvergence result is obtained and then used to prove a maximum norm estimate for parabolic integro-differential equations defined on a two-dimensional bounded domain. © 2014 Australian Mathematical Society.The first author would like to thank CSIR, Government of India, as well as INCTMat/CAPES (http://inctmat.impa.br) for financial support. The second author gratefully acknowledges the research support of the Department of Science and Technology, Government of India, under DST-CNPq Indo-Brazil Project-DST/INT/Brazil/RPO-05/2007 (Grant No. 490795/2007-2). The third author would like to acknowledge the financial support of MHRD, India. This publication is also based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST)
Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data
No full textIn the first part of this article, a new mixed method is proposed and analyzed for parabolic integro-differential equations (PIDE) with nonsmooth initial data. Compared to the standard mixed method for PIDE, the present method does not bank on a reformulation using a resolvent operator. Based on energy arguments combined with a repeated use of an integral operator and without using parabolic type duality technique, optimal L2 L2-error estimates are derived for semidiscrete approximations, when the initial condition is in L2 L2. Due to the presence of the integral term, it is, further, observed that a negative norm estimate plays a crucial role in our error analysis. Moreover, the proposed analysis follows the spirit of the proof techniques used in deriving optimal error estimates for finite element approximations to PIDE with smooth data and therefore, it unifies both the theories, i.e., one for smooth data and other for nonsmooth data. Finally, we extend the proposed analysis to the standard mixed method for PIDE with rough initial data and provide an optimal error estimate in L2, L 2, which improves upon the results available in the literature. © 2013 Springer Science+Business Media New York.The first author would like to thank CSIR, Government of India for the financial support. The second author acknowledges the research support of the Department of Science and Technology, Government of India under DST-CNPq Indo-Brazil Project No. DST/INT/Brazil /RPO-05/2007 (Grant No. 490795/2007-2). This publication is also based on the work (AKP) supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The authors also thank the referees for their valuable suggestions
Satum – Sahpolo Song
No full textOne 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
Moipan – History
No full textOne 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
No full textTwo 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
Maya – CALMSEA word list (2)
No full textTwo 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
An Alternate Approach to Optimal<i>L</i><sup>2</sup>-Error Analysis of Semidiscrete Galerkin Methods for Linear Parabolic Problems with Nonsmooth Initial Data
No full textOptimal 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
No full textIn 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
An Alternate Approach to Optimal L 2 -Error Analysis of Semidiscrete Galerkin Methods for Linear Parabolic Problems with Nonsmooth Initial Data
No full textIn this article, we propose and analyze an alternate proof of a priori error estimates for semidiscrete Galerkin approximations to a general second order linear parabolic initial and boundary value problem with rough initial data. Our analysis is based on energy arguments without using parabolic duality. Further, it follows the spirit of the proof technique used for deriving optimal error estimates for finite element approximations to parabolic problems with smooth initial data and hence, it unifies both theories, that is, one for smooth initial data and other for nonsmooth data. Moreover, the proposed technique is also extended to a semidiscrete mixed method for linear parabolic problems. In both cases, optimal L2-error estimates are derived, when the initial data is in L2. A superconvergence phenomenon is also observed, which is then used to prove L∞-estimates for linear parabolic problems defined on two-dimensional spatial domain again with rough initial data. Copyright © Taylor & Francis Group, LLC.D. G. would like to thank CSIR, Government of India, for the financial support. A. K. P. acknowledges the support provided by the DST (Department of Science and Technology), Government of India project No 08DST012. This publication is also based on work supported in part by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). The authors are grateful to the referees for their valuable suggestions and comments, which help to improve the present manuscript
