Writing & tutorials
Blog.
Notes on numerical methods, physics, and machine learning.
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Numerical methods for ordinary differential equations
Most basic numerical methods to solve Cauchy problem
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Finite difference methods for stationary elliptic equations
Numerical solution of the Poisson equation
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The Fourier interpolation
Investigating some computational and numerical aspects of the Fourier interpolation of a periodic function
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The Chebyshev interpolation
Investigating some computational and numerical aspects of the Lagrange interpolating polynomial
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Numerical solution of a partial differential equation using a collocation spectral method
Collocation spectral methods is used to solve an initial-value problem
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Searching for steady states
Numerical techniques to determine the steady states of a dynamical system
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Introduction to physics-informed neural networks
Neural networks, physical constraints, and the construction of a training loss.