Abstract: New ultrasound imaging and therapeutic modalities may require transducer designs that are not easily facilitated by conventional design guidelines and analytical expressions. This motivates ...

Multi-impulse orbital rendezvous is a classical spacecraft trajectory optimization problem, which has been widely studied for a long time. Numerical optimization methods, deeplearning (DL) methods, ...

Abstract: The article traces the evolution of numerical tools from the Renaissance to the present. It examines the flourishing of numerical methods and concepts in the nineteenth century, particularly ...

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This repository presents a practical deep dive into numerical optimization methods frequently used in the field of machine learning. The goal is to better understand how optimization drives model ...

Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...

Stochastic control problems in finance often involve complex controls at discrete times. As a result, numerically solving such problems using, for example, methods based on partial differential or ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...