In this thesis, we study several nonlocal models to obtain their numerical solutions accurately and efficiently. In contrast to the classical (local) partial differential equation models, these nonlocal models are integro-differential equations that ...

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In this thesis, we study several nonlocal models to obtain their numerical solutions accurately and efficiently. In contrast to the classical (local) partial differential equation models, these nonlocal models are integro-differential equations that ...

Recent advances in deep reinforcement learning have achieved human-level performance on a variety of real-world applications. However, the current algorithms still suffer from poor gradient estimation with excessive variance, resulting in unstable tr...

Supramolecular polymers have enabled far-reaching fundamental science and the development of diverse macromolecular technologies owing to the reversible and noncovalent chemical connectivities that define their properties. Despite the unabated develo...

We consider a market index model for a large portfolio of risky assets traded in the stock market where the correlation is due to a market factor. By taking the limit of a simple systems of stochastic differential equations (SDEs), we obtain a limit ...

Advent of 5G technologies has ensued in massive growth of body-centric communications (BCCs), especially at millimeter-wave (mm-wave) frequencies. As a result, the portable/handheld terminals are becoming more and more “intelligent” but not without t...

We consider a market index model for a large portfolio of risky assets traded in the stock market where the correlation is due to a market factor. By taking the limit of a simple systems of stochastic differential equations (SDEs), we obtain a limit ...

We consider a market index model for a large portfolio of risky assets traded in the stock market where the correlation is due to a market factor. By taking the limit of a simple systems of stochastic differential equations (SDEs), we obtain a limit ...