MPhil, MSc

Mamatha T. M. currently serves as Assistant Professor at department of Mathematics, Amrita School of Engineering, Banglore campus. She is currently pursuing her Ph. D.


Degree University Year
M.Phil Sri Venkateswara University, Tirupti 2010
M.Sc. Bangalore University 2007


Publication Type: Journal Article

Year of Publication Title


B. Sreevidya, Rajesh M, and Mamatha, T. M., “Design and development of an enhanced security scheme using RSA for preventing false data injection in wireless sensor networks”, Advances in Intelligent Systems and Computing, vol. 696, pp. 225-236, 2018.[Abstract]

Wireless sensor networks are largely used in mission-critical applications such as border surveillance, intrusion detection, remote patient monitoring. These applications demand the data to be secured while processing as well as communicating. Data security during the processing phase is a largely researched area, and there exists enough number of techniques to achieve it. On the other hand, techniques to achieve data security during communication phase even though exist in multiple numbers, most of the techniques demand high processing capacity. This requirement leads to high energy consumption which is a challenge in the context of wireless sensor networks. So a technique which will provide data security during communication phase in a wireless sensor network-based application with minimal energy consumption will be a very good solution. The proposed scheme is to prevent false data injection in which malicious or compromised nodes inject false data into the WSN which will influence the decision making of the system. The proposed system provides an enhanced security scheme for preventing false data injection attack in WSN with an efficient reactive routing method. The proposed system addresses two parameters: authenticity of the nodes and the integrity of the data. The proposed system is simulated using Network Simulator 2 (NS2), and the results indicate that the scheme performs better than the existing schemes which provide either integrity of data or authentication of the sender. © Springer Nature Singapore Pte Ltd. 2018.

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T. M. Mamatha and Dr. B. Venkatesh, “Gauss quadrature rules for numerical integration over a standard tetrahedral element by decomposing into hexahedral elements”, Applied Mathematics and Computation, vol. 271, pp. 1062–1070, 2015.[Abstract]

In recent years hexahedral elements have gained more importance than compared to tetrahedral elements (e.g. importance in the study of aero-acoustic equations using hexahedral elements to check the computational efficiency between tetrahedral and hexahedral elements). Also among the various integration schemes, Gauss Legendre quadrature which can evaluate exactly the (2n−1)th order polynomial with n-Gaussian points is most commonly used in view of the accuracy and efficiency of calculations. In this paper, we present a Gauss quadrature method for numerical integration over a standard tetrahedral element T[0,1]3 by decomposing into hexahedral elements H[−1,1]3. The method can be used for computing integrals of smooth functions, as well as functions with end-point singularities. The performance of the method is demonstrated with several numerical examples. By the proposed method, with less number of divisions we are obtaining the exact solutions with minimum errors and number of computations is reduced drastically. We have evaluated the aspect ratio value of each hexahedral element which is in the range 1–5, as per the element quality check these elements can be used for mesh generation in FEM.

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Publication Type: Conference Paper

Year of Publication Title


T. M. Mamatha, “Restrained Domination of kth power of a Cycle”, in XVIII International Conference of forum for Inter Disciplinary Mathematics,, Waknaghat,Himachal Pradesh, 2009.