4 papers
Efficient Numerical Conformal Mappings on Multiply Connected Riemann Surfaces
H. Hakula, A. Rasila, Y. Zheng
The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and multiply connected domains on surfaces. In this paper the conjugate fun…
Generalized Adjoint Method
Andrew Zheng, Adam R. Stinchcombe
The adjoint method is an efficient way to numerically compute gradients in optimization problems with constraints, but is only formulated to differentiable cost and constraint func…
Evaluating singular and near-singular integrals on smooth surfaces with quadratic geometric approximation and closed form expressions
Andrew Zheng, Spyros Alexakis, Adam R Stinchcombe
Most Fredholm integral equations involve integrals with weakly singular kernels. Once the domain of integration is discretized into flat triangular elements, these weakly singular…
Effects of Dataset Sampling Rate for Noise Cancellation through Deep Learning
Brandon Colelough, Andrew Zheng
Background: Active noise cancellation has been a subject of research for decades. Traditional techniques, like the Fast Fourier Transform, have limitations in certain scenarios. Th…