Convergence of Solvers and the Importance of Well-Posedness
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We solve the Poisson equation by setting up a black-box solver and examine the implications of convergence for a particular scenario.
Blog
Here are some blog articles that I have written to motivate novel and existing ideas. My fundamental target is always clarity of exosition, reproducibility of results, and bridging theory and application. If you have a comment or any questions, please send me an email.Neural Networks I: First Network from Scratch
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We describe the framework of neural networks and build an example from scratch using NumPy.
Accelerating Convergence of Newton’s Method for Degenerate Functions
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We explore the application of Newton’s method when solving the Butler-Volmer equation, and ways to reduce the number of iterations taken by the solver.
An Introduction to Kalman Filters Using the Heat Equation
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We present a basic application of Kalman filters in measuring the temperature of a heating object.