Burgers Equation with Differential Physics, PhiFlow
Burgers Equation The one-dimensional Burgers’ equation is expressed in the following formula Here, u represents the velocity field, t is…
Physics
kevin-tofu Maxwells Equations
Maxwell’s Equations Maxwell’s Equation is described by 4 queations as following(not only Integral form but also differential form), this article…
Modulus
Overview Nvidia is developing Neural Networks training tool for Physics. Here shows what functions it has https://docs.nvidia.com/deeplearning/modulus/modulus-v2209/user_guide/basics/modulus_overview.html Neural Netork Models…
Neural Operator for Training Partial Differential Equations
What this field is going to do The previously introduced Physics Informed Neural Network (PINN) directly estimates the solution (field)…
The Jordan Normal Form
Diagonalization of matrices plays a crucial role in numerical computations. However, when diagonalization of a matrix is not possible, how…
Bloch Sphere
|\psi\rangle = e^{i\Phi} \left( \cos\frac{\theta}{2} |0\rangle + \sin\frac{\theta}{2} e^{i\phi} |1\rangle \right)
The difference between Hamiltonian and Unitary transform in Quantum Computing
In summary, the Hamiltonian provides the “cause” for the temporal evolution of a quantum system, while the resulting time evolution…
Finite Element Method for Stress Analysis
Followed the equations from the page below. Thanks for greate explanations. Basically, I wrote up this flow, but slightly changed…
Deciphering The Heart of Control Engineering (2)
Classical Control Theory The deviation between the reference value and the output, denoted as (1), is input to the controller…
Deciphering The Heart of Control Engineering (1)
Second-Order Differential Equation of the Spring-Mass-Damper System Consider a system with the transfer function given by equation (1). This is…