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Journal Articles

A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations

Yash Vats, Mani Mehra, Dietmar Oelz, Abhishek Kumar Singh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121003.
Paper No: CND-24-1099
https://doi.org/10.1115/1.4066330
Published Online: September 21, 2024
View Article titled, A New Perspective for Scientific Modelling: Sparse Reconstruction-Based Approach for Learning Time-Space Fractional Differential Equations
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Topics: Differential equations, Diffusion (Physics), Noise (Sound), Algorithms, Wave equations, Modeling
Journal Articles

High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions

Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101001.
Paper No: CND-23-1297
https://doi.org/10.1115/1.4066023
Published Online: August 20, 2024
View Article titled, High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions
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Topics: Approximation, Diffusion (Physics), Errors, Stability, Interpolation
Proceedings Papers

An OpenMP Based Parallel Solver for MLPG Analysis of Heat Conduction

Abhishek Kumar Singh, Krishna Mohan Singh
Proc. ASME. IMECE2022, Volume 8: Fluids Engineering; Heat Transfer and Thermal Engineering, V008T11A052, October 30–November 3, 2022
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2022-94919
https://doi.org/10.1115/IMECE2022-94919
View Paper titled, An OpenMP Based Parallel Solver for MLPG Analysis of Heat Conduction
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Topics: Heat conduction, American Petroleum Institute, Computer simulation, Steady state
Proceedings Papers

GMRES Solver for MLPG Method Applied to Heat Conduction

Abhishek Kumar Singh, Krishna Mohan Singh
Proc. ASME. IMECE2020, Volume 11: Heat Transfer and Thermal Engineering, V011T11A038, November 16–19, 2020
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2020-24566
https://doi.org/10.1115/IMECE2020-24566
View Paper titled, GMRES Solver for MLPG Method Applied to Heat Conduction
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Topics: Heat conduction, Algebra, Computation, Geometry, Iterative methods, Linear systems, Relaxation (Physics), Steady state
Proceedings Papers

A Comprehensive Bejan’s Heatline Approach for Natural Convection Heat Transfer Within Inclined Square Cavities

Abhishek Kumar Singh, S. Roy, Tanmay Basak
Proc. ASME. HT2012, Volume 1: Heat Transfer in Energy Systems; Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Transport Phenomena in Materials Processing and Manufacturing; Heat and Mass Transfer in Biotechnology; Environmental Heat Transfer; Visualization of Heat Transfer; Education and Future Directions in Heat Transfer, 1067-1076, July 8–12, 2012
Publisher: American Society of Mechanical Engineers
Paper No: HT2012-58226
https://doi.org/10.1115/HT2012-58226
View Paper titled, A Comprehensive Bejan’s Heatline Approach for Natural Convection Heat Transfer Within Inclined Square Cavities
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Topics: Cavities, Heat transfer, Heatlines, Natural convection, Heating, Flow (Dynamics), Fluids, Heat, Buoyancy, Finite element methods