37 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Indian Institute of PetroleumIN2 papers
- Indian Institute of Technology DelhiIN1 paper
- National Institute of Technology TiruchirappalliIN1 paper
- Pohang University of Science and TechnologyKR1 paper
- RWTH Aachen UniversityDE1 paper
- Singapore Management UniversitySG1 paper
- Singapore University of Technology and DesignSG1 paper
- Visvesvaraya National Institute of TechnologyIN1 paper
7 papers
Exponential approximation space reconstruction WENO scheme for dispersive PDEs
Lavanya V Salian, Samala Rathan
In this work, we construct a fifth-order weighted essentially non-oscillatory (WENO) scheme with exponential approximation space for solving dispersive equations. A conservative th…
Numerical schemes for a class of nonlocal conservation laws: a general approach
Jan Friedrich, Sanjibanee Sudha, Samala Rathan
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate…
Adaptive IQ and IMQ-RBFs for solving Initial Value Problems: Adam-Bashforth and Adam-Moulton methods
Samala Rathan, Deepit Shah, T. Hemanth Kumar +1
In this paper, our objective is primarily to use adaptive inverse-quadratic (IQ) and inverse-multi-quadratic (IMQ) radial basis function (RBF) interpolation techniques to develop a…
A sixth-order central WENO scheme for nonlinear degenerate parabolic equations
Samala Rathan, Jiaxi Gu
In this paper we develop a new sixth-order finite difference central weighted essentially non-oscillatory (WENO) scheme with Z-type nonlinear weights for nonlinear degenerate parab…
Towards Systematically Deriving Defence Mechanisms from Functional Requirements of Cyber-Physical Systems
Cheah Huei Yoong, Venkata Reddy Palleti, Arlindo Silva +1
The threats faced by cyber-physical systems (CPSs) in critical infrastructure have motivated the development of different attack detection mechanisms, such as those that monitor fo…
Arc length based WENO scheme for Hamilton-Jacobi Equations
Samala Rathan, Biswarup Biswas
In this article, novel smoothness indicators are presented for calculating the nonlinear weights of weighted essentially non-oscillatory scheme to approximate the viscosity numeric…
Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws
Samala Rathan, G. Naga Raju, Ashlesha A. Bhise
The advantage of WENO-JS5 scheme [ J. Comput. Phys. 1996] over the WENO-LOC scheme [J. Comput. Phys.1994] is that the WENO-LOC nonlinear weights do not achieve the desired order of…