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Showing 1-30 of 459 Thesis
This study addresses the fragmentation between discrete and continuous perspectives in spectral graph signal theory and proposes a unified multiscale framework ...
This study investigates how optimal transport theory can enhance municipal transit routing in the City of Adelaide to improve service reliability, reduce travel...
Incomputational science routinely solves large sparse linear systems arising from discretized partial differential equations and data-intensive applications; ho...
The rapid expansion of Internet of Things (IoT) ecosystems across critical sectors, including manufacturing, healthcare, and smart cities, has intensified the d...
The accurate solution of partial differential equations (PDEs) arising in engineering and physics hinges on the reliability and efficiency of numerical methods ...
The rapid growth of high-dimensional data arising from network analytics, recommender systems, and scientific simulations has intensified the need for scalable ...
This study addresses the challenge of ensuring robust stability in nonlinear dynamics across complex networked systems, where traditional linear spectral method...
This study addresses the escalating risk exposure of contemporary microgrid networks within urban distribution systems, where topology-driven connectivity and o...
Stochastic differential equations (SDEs) provide a foundational framework for modeling systems influenced by random fluctuations across finance, physics, and en...
The rapid evolution of communication and sensor networks has intensified the need for adaptive network topologies that can respond to dynamic traffic patterns, ...
This study addresses the practical performance and reliability of numerical methods used for solving large-scale partial differential equations (PDEs) in scient...
This study addresses the challenge of solving large-scale sparse linear systems efficiently, a problem central to simulations in scientific computing, engineeri...
Fractional-order dynamical systems (FODS) offer a versatile modeling framework for intrinsic memory effects and anomalous diffusion across engineering, physics,...
Urban freight logistics in metropolitan areas faces rising congestion, emissions, and delivery delays, threatening service levels and urban livability. This stu...
This study investigates the comparative performance of spectral methods for solving partial differential equations (PDEs) on irregular domains, addressing a gap...
This study investigates the use of deep learning surrogates to accelerate numerical solutions of partial differential equations (PDEs) in complex engineering si...
This study investigates whether stock price movements in contemporary financial markets exhibit random-walk characteristics within the microstructure context, a...
The increasing demand for efficient and scalable solvers for sparse partial differential equations (PDEs) in high-dimensional and time-dependent problems motiva...
This study addresses the limitations of classical linear spectral methods in capturing nonlinear geometric and functional properties of large-scale graphs, wher...
The rapid integration of intermittent renewable energy sources into modern power grids has heightened exposure to operational and market risks, challenging grid...
Graph neural networks (GNNs) have emerged as powerful tools for modeling complex dynamical systems by exploiting relational structures in data. Despite rapid pe...
The rapid expansion of digital communication networks has accentuated the critical need for efficient and adaptive traffic routing mechanisms to enhance network...
The increasing availability of complex and high-dimensional real-world data has significantly influenced the development and application of nonlinear optimizati...
Nonlinear differential equations (NDEs) are fundamental to modeling complex phenomena across diverse scientific and engineering disciplines, yet their analytica...
The complexity inherent in modern networks, such as social, biological, and technological systems, necessitates advanced analytical frameworks to capture their ...
Effective inventory management remains a critical challenge for manufacturing organizations seeking to minimize costs while maximizing operational efficiency. F...
In the realm of mathematical modeling, nonlinear differential equations serve as fundamental tools for describing complex dynamical systems across sciences and ...
The rapid proliferation of interconnected devices and data-intensive applications in urban environments has accentuated the critical need for efficient, adaptiv...
Urban traffic congestion remains a persistent challenge for city planners and transportation authorities worldwide, leading to increased travel times, environme...
The efficient and accurate numerical solution of nonlinear differential equations remains a critical challenge in applied mathematics, with broad implications a...