The system be down for regular maintenance on April 3rd, 2024 from 8:00-10:00am.
Browsing Applied mathematics by Title
Now showing items 22-41 of 117
-
Data assimilation problems in glaciology
Rising sea levels due to mass loss from Greenland and Antarctica threaten to inun- date coastal areas the world over. For the purposes of urban planning and hazard mitigation, policy makers would like to know how much ... -
Data Sampling and Analysis for the Improvement of Estimating Heating Loads in Alaska
Due to the accelerated effects of climate change over the past 10 years, Alaska and the larger Arctic region are in need of decarbonization far more than the rest of the world does. Over 75% of the energy utilized in the ... -
Data-driven discovery and model reduction of complex systems
Dynamical systems play an integral role in the continued success of scientific theories in describing and predicting the world around us. They are at the heart of countless scientific models, including electromagnetic ... -
Data-Driven Methods for Time Series Forecasting, Classification, and Uncertainty Quantification
The increased availability of time series data has led to a burgeoning interest in data-driven modeling and time series analysis. The ability to model temporal data can not only enable us to ... -
Data-Driven Sensor Placement Methods
The scalable optimization of sensor placement remains an open challenge in engineering and physical sciences. Optimal placements can only be determined in general using a brute-force combinatorial search over the domain. ... -
Dimensionality hyper-reduction and machine learning for dynamical systems with varying parameters
This work demonstrates methods for hyper reduction and efficient computation of solutions of dynamical systems using optimization and machine learning techniques. We consider nonlinear partial differential equations that ... -
Dimensionality Reduction for Supervised and Unsupervised Learning: New Algorithms, Analysis and Application
Dimensionality reduction is an essential topic in data science, particularly when data are high-dimensional or have more features than samples. The process of reducing the data dimension usually involves solving an eigenvalue ... -
Dynamic, convex, and robust optimization with Bayesian learning for response-guided dosing
Medical treatment commonly involves the administration of drug doses at multiple time-points. Intuitively, the higher the doses, the higher the likelihood of disease control as well as the risk of adverse effects and of ... -
Dynamical Modeling and Numerical Methods for CAR-T Cell Therapy and Viral Tweets
The development of CAR-T cell immunotherapies has been one of the most exciting advancements in the field of cancer research over the last decade. Many mathematical models have been proposed to better understand the nonlinear ... -
Dynamics in Discrete Time: Successional Communities, Spatial Models, and Allee Effects
As humans rapidly alter the environment around them, impacts such as habitat disturbances and fragmentation, range shifts, and invasions are increasingly common. In the face of these events, knowledge of population dynamics ... -
Energy and Charge Transfer in Open Plasmonic Systems
Coherent and collective charge oscillations in metal nanoparticles (MNPs), known as localized surface plasmons, offer unprecedented control and enhancement of optical processes on the nanoscale. Since their discovery in ... -
ETG-ETL Portfolio Optimization
(2013-02-25)Modern Portfolio Theory dates back to 1950s, when Markowitz proposed mean-variance portfolio optimization to construct portfolios. It provided a systematic approach to determine portfolio allocation when one is facing ... -
Exploiting Low Dimensionality in Nonlinear Optics and Other Physical Systems
(2012-09-13)Dimensionality reduction techniques have long been used in a number of fields including nonlinear optics and fluid dynamics. Regardless of the specific technique, the underlying idea is to generate a reduced order model ... -
Finite Volume Methods for the Multilayer Shallow Water Equations with Applications to Storm Surges
(2011-07-11)Coastal hazards related to strong storms such as hurricanes and typhoons are one of the most frequently recurring and wide spread hazards to coastal communities. Storm surges are among the most devastating effects of these ... -
Finite volume methods for Tsunamis generated by submarine landslides
(2014-04-30)Submarine landslides can generate tsunamis, and the generated waves can be catastrophic when a large volume of landslide material is involved. Moreover, large earthquakes are often accompanied by submarine landslides that ... -
From data to dynamics: discovering governing equations from data
Governing laws and equations, such as Newton's second law for classical mechanics and the Navier-Stokes equations thence derived, have been responsible throughout history for numerous scientific breakthroughs in the physical ... -
From worms to wars, modeling and controlling networked dynamical systems
Networks in nature regularly exhibit dynamics that are difficult to characterize due to their nonlinear nature and use of obscure control signals. These systems are often marked by low-dimensional dynamics, multiple stable ... -
Generalized Matrix-fractional Functions and Their Applications
The support function of a closed convex set is a central object in convex geometry as it completely identifies the underlying set. For a particular class of sets -- the graph of matrix valued mapping $Y\mapsto -\half YY^T$ ... -
Geographic Range Shifts under Climate Warming
(2013-07-25)Rapid climate warming has caused species across the globe to shift their geographic ranges, and ecologists are increasingly concerned about whether species are able to track climate warming. Early efforts to predict species ... -
Green's Law and the Riemann Problem in Layered Media
The propagation of long waves onto a continental shelf is of great interest in tsunami modeling, where understanding the amplification of waves during shoaling is of significant importance. When the linearized shallow water ...