Davoud Moazami

I am a PhD-trained applied mathematics researcher specializing in numerical analysis, with a focus on the numerical solution of integral and differential equations. My work centers on methods that deliver both stability and accuracy for challenging Fredholm integral equation problems.

I developed kernel-based and meshless approaches for solving linear Fredholm integral equations of the second kind, including a kernel-based technique for three-dimensional problems over general domains. I also advanced hybrid strategies—combining hybrid radial kernels with particle swarm optimization—to enhance stability and accuracy for nonlinear Fredholm integral equations.

Beyond kernel formulations, I apply numerical linear algebra tools such as the Hilbert–Schmidt SVD approach and design discrete collocation schemes for high-dimensional settings. Across my publications, I consistently balance correctness, numerical stability, and practical simulation performance for scientific computing and modeling.