Aishwarya Jaiswal is a dedicated researcher in numerical analysis of partial differential equations, contributing to the advancement of efficient and uniformly convergent computational methods. With strong academic preparation in mathematics and computing from premier Indian institutes, she has developed expertise in numerical schemes for singularly perturbed systems, convection–diffusion models, parabolic reaction–diffusion equations, and multiscale interface problems. Her scholarly output includes multiple peer-reviewed publications in international journals, supported by citation metrics that reflect early research impact, including 1 citation, 1 h-index, and 0 i10-index, along with 1 indexed document. She has worked on diverse research themes such as boundary and interior layer phenomena, component-wise splitting algorithms, higher-order numerical schemes, and efficient discretization techniques. Her academic journey includes hands-on research experience through conference presentations, workshops, and collaborative visits at reputed institutions, contributing to global knowledge exchange in applied mathematics. Her interests span numerical PDEs, error analysis, computational methods, and scientific computing. She has been recognized with prestigious competitive awards, including highly regarded research fellowships that support her doctoral investigations. Through her continued focus on accuracy, robustness, and computational efficiency, she aims to contribute impactful advancements to the field of numerical mathematics and applied scientific computation.
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Featured Publications
Jaiswal, A., Kumar, S., & Ramos, H. Boundary and interior layer phenomena in coupled multiscale parabolic convection–diffusion interface problems: Efficient numerical resolution and analysis. International Journal of Numerical Methods for Heat & Fluid Flow., Cited by: 1
Jaiswal, A., Kumar, S., & Clavero, C. Efficient component-wise splitting approach to solve coupled singularly perturbed parabolic reaction–diffusion systems with interior layers. Numerical Algorithms.
Jaiswal, A., Kumar, S., & Ramos, H. Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction–diffusion systems with discontinuous source term. Journal of Applied Mathematics and Computing.
Jaiswal, A., Kumar, S., & Kumar, S. A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations. Computational and Applied Mathematics, 42(6), 278.