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Aayushman Raina

Observed name: Raina, Aayushman
ORCID: 0000-0002-2441-7949
Observed ORCID: 0000-0002-2441-7949
OpenAlex ID: A5107455703
A weak Galerkin finite element method for fourth-order parabolic singularly perturbed problems on layer adapted Shishkin mesh
2024 · Aayushman Raina, Srinivasan Natesan · Applied Numerical Mathematics · 15
A parameter-driven physics-informed neural network framework for solving two-parameter singular perturbation problems involving boundary layers
2025 · Pradanya Boro, Aayushman Raina, et al. · Advances in Computational Science and Engineering · 9
Application of PINN to obtain solution of boundary layer problems arising in fluid dynamics
2025 · Aayushman Raina, Satyadev Badireddi, et al. · Mathematical Foundations of Computing · 8
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Anisotropic error analysis of weak Galerkin finite element method for singularly perturbed biharmonic problems
2024 · Aayushman Raina, Srinivasan Natesan, et al. · Mathematics and Computers in Simulation · 7
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A Novel ADI‐Weak Galerkin Method for Singularly Perturbed Two‐Parameter 2D Parabolic Pdes
2025 · Aayushman Raina, Srinivasan Natesan, et al. · Numerical Methods for Partial Differential Equations · 5
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A Physics‐Informed Neural Network Framework for Tumor‐Immune Interactions, Metastatic Invasion, and Haptotaxis Systems
2025 · Aayushman Raina, Srinivasan Natesan · Mathematical Methods in the Applied Sciences · 1
An efficient operator splitting weak Galerkin method for singularly perturbed 2D parabolic PDEs
2025 · Aayushman Raina, Srinivasan Natesan, et al. · Numerical Algorithms · 1
Enhanced PINN approaches for biharmonic singular perturbation problems with clamped boundary conditions
2026 · Satyadev Badireddi, Aayushman Raina, et al. · Indian Journal of Pure and Applied Mathematics
A simple shallow neural network for emulating the solution to singularly perturbed problems
2026 · Xenophontos, Christos, Raina, Aayushman · arXiv (Cornell University)
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Error Analysis of a Fully-Discrete Implicit $θ$-Scheme with WG-FEM for Parabolic Singularly Perturbed Boundary Turning Point Problems
2026 · Raina, Aayushman, Natesan, Srinivasan · arXiv (Cornell University)
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A weak Galerkin mixed finite element method for singularly perturbed biharmonic problems on a layer-adapted mesh in 2D
2026 · Aayushman Raina, Srinivasan Natesan, et al. · Advances in Computational Mathematics
A weak Galerkin finite element method for singularly perturbed 2D elliptic boundary-value problems of reaction-diffusion type with exponentially graded mesh
2025 · Aayushman Raina, Srinivasan Natesan · International Journal of Computer Mathematics
Works count: 12
Citation count: 46
H-index: 5
I10-index: 1
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