Jitendra Nath Naik Ph.D. Scholar in Mathematics | IIT Goa

👋 ABOUT ME

Hello! I am a Ph.D. Scholar in Mathematics at IIT Goa, specializing in the theoretical and numerical analysis of Stochastic Partial Differential Equations (SPDEs). I strongly value academic collaboration and welcome connections from the global mathematical community.

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🎯 CURRENT FOCUS

My primary research investigates Stochastic Partial Differential Equations (SPDEs). My work bridges abstract frameworks and practical computation by utilizing semigroup theory to establish well-posedness and regularity, alongside deriving optimal error estimates for the Finite Element Method (FEM) and running simulations in MATLAB and FreeFEM++.

🔬 RESEARCH INTERESTS

As a Research Scholar at IIT Goa, my work addresses both the theoretical and computational challenges of Stochastic Partial Differential Equations (SPDEs) and Fractional Stochastic Partial Differential Equations.

Theoretical Analysis: Investigating the well-posedness and regularity of solutions.
Numerical Methods: Developing algorithms for SPDEs and Fractional SPDEs, with implementation and verification conducted via MATLAB and FreeFEM++.

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