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Results tagged with pde
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user 46717
Partial differential equations (PDEs) are equations that relate the partial derivatives of a function of more than one variable. This tag is intended for questions on modeling phenomena with PDEs, solving PDEs, and other related aspects.
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How to set Neumann BC for coupled transport problem in weak form?
Consider
$$\begin{aligned}
\partial_t v + b\cdot \nabla \phi &=0 \\
\partial_t \phi + b\cdot \nabla v &= 0
\end{aligned}$$
for $v:(x,y)\mapsto \mathbb{R}$, unknown and time-dependent ($\phi$ s …
- 90
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Overview of positivity and maximum-principle-preserving numerical schemes for PDEs
I am interested in why and when positivity preserving numerical schemes for PDE are used.
Related: Which methods can ensure that physical quantities remain positive throughout a PDE simulation? … A particular technique
I encountered a specific technique for preserving the positivity of the density $\rho$ in a PDE problem. …
- 90