SciMLBenchmarks.jl holds webpages, pdfs, and notebooks showing the benchmarks for the SciML Scientific Machine Learning Software ecosystem, including: Benchmarks of equation solver implementations ...

Abstract: Artificial intelligence and nearly all its subfields include machine learning and deep learning in operations with the closings being a vital aspect across disciplines including solving ...

Abstract: A family of new integral equations (NIE) is proposed in this paper, which are transformed from the original Lippmann-Schwinger integral equation. It can be shown that the NIE can effectively ...

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...

Policy iteration: Run a local optimisation for the policy on each time-step. Piecewise constant policy timestepping: Approximate the policy function from a discrete set of values.