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PhD Student in Computational Mathematics

Researching mathematical analysis and algorithms related to computational mathematics

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About Me

I am a PhD student specializing in computational mathematics with a focus on mathematical analysis and algorithm development. My research interests lie at the intersection of theoretical mathematics and practical computational applications.

My work involves developing and analyzing algorithms for complex mathematical problems, with particular emphasis on numerical methods, optimization techniques, and their applications in various fields of science and engineering.

Research Interests

  • Mathematical Analysis
  • Numerical Analysis
  • Algorithm Design and Analysis
  • Computational Mathematics
  • Optimization Theory
  • Scientific Computing

Research

Numerical Methods for Differential Equations

Developing efficient numerical schemes for solving partial differential equations with applications in physics and engineering. Focus on stability analysis and convergence properties.

$$\frac{\partial u}{\partial t} = \alpha \nabla^2 u + f(x,t)$$

Optimization Algorithms

Research on convergence analysis of optimization algorithms, particularly for non-convex problems and large-scale applications.

$$\min_{x \in \mathbb{R}^n} f(x) \text{ subject to } g(x) \leq 0$$

Computational Complexity Analysis

Analyzing the computational complexity of mathematical algorithms and developing more efficient approaches for solving large-scale problems.

$$T(n) = O(n \log n)$$

Publications

Recent Publications

Publications will be updated as research progresses.

Currently working on several manuscripts related to numerical analysis and computational algorithms.

Conference Presentations

Conference presentations and talks will be listed here.

Contact

I'm always interested in discussing research collaborations and opportunities in computational mathematics.

Email

your.email@university.edu

Office

Department of Mathematics
Your University
Office Number

Links

ORCID | Google Scholar | ResearchGate