k-Wave is an open source MATLAB toolbox designed for the time-domain simulation of propagating acoustic waves in 1D, 2D, or 3D [1]. The toolbox has a wide range of functionality, but at its heart is ...

Abstract: The image denoising algorithm based on partial differential equation can selectively solve the problem of noise and image smoothing, which has become the focus of current image denoising ...

Optimal control problems are pervasive across numerous disciplines, including engineering, economics, biology, and medicine, where they play a crucial role in optimizing the performance of dynamic ...

1 Department of Engineering, United Tribes Technical College, Bismarck, North Dakota, USA. 2 Department of Environmental Science, United Tribes Technical College, Bismarck, North Dakota, USA. Making ...

Simo Särkkä and Arno Solin (2019). Applied Stochastic Differential Equations. Cambridge University Press. Cambridge, UK. The book can be ordered through Cambridge University Press or, e.g., from ...

We demonstrate that a neural network automatically solves, explains, and generates university-level problems from the largest Massachusetts Institute of Technology (MIT) mathematics courses at a human ...

1 College of Mathematics and Statistics, Sichuan University of Science & Engineering, Zigong, China. 2 Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

The steady two dimensional magnetohydrodynamic (MHD) boundary layer flow and heat transfer over a stretching/shrinking permeable wedge is numerically investigated. The partial differential equations ...

In undergraduate physical chemistry, Schrödinger’s equation is solved for a variety of cases. In doing so, the energies and wave functions of the system can be interpreted to provide connections with ...