QLSP refers to the problem of solving linear systems of equations using quantum computing ... By using the variational method, VQAs avoid the need to perform complex global operations in quantum ...

Even though their framework focuses on general, nonlinear problems, it can also be used to solve linear PDE. For instance, the method ... for Solving Parabolic Partial Differential Equations ...

This gives an approximate local description of the physics by a set of simple linear (but sometimes nonlinear) equations ... this method has been very successful in solving fluid flow problems.

Abstract: In this paper, we propose a tensor multigrid method and an iterative tensor multigrid method to solve the Sylvester tensor equations which may arise from the discretization of high order ...

This is a brief list of packages relevant when solving partial differential equations with Julia ... static and dynamic linear and nonlinear stress analysis, vibrations and fluids, model reduction, ...

Finally, we discuss the most straightforward method to impose ... of the governing equations in a physics-informed manner with limited or even no labeled data. PINNs show some significant advantages ...

We describe using the Newton Krylov method to solve the coupled cluster equation. The method uses a Krylov iterative ... method for solving the projected CC equation. The NK method is a widely used ...