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 Jul31 comment Obtaining a bound on the differential operator This almost makes sense. But the left hand side of the inequality uses $\frac{du}{dy}$, not $\left| \frac{du}{dy}\right|$. Unless it is somehow implicitly assumed that $\frac{du}{dy}>0$, I just can't see how we can conclude this. Jul31 asked Obtaining a bound on the differential operator Jul12 comment Explaining the physical meaning of an eigenvalue in a real world problem The question is about understanding and interpreting the eigenvalues/eigenvectors, not finding a method to solve the equation. Jul11 comment Explaining the physical meaning of an eigenvalue in a real world problem @AsalBeagDubh: Whatever it takes to confer your doctorate is worth it, even vodka with beer! :) Jul11 comment Explaining the physical meaning of an eigenvalue in a real world problem @AsalBeagDubh: I edited the question for consistency, replacing all instances of 'rum' with 'beer'. Jul11 revised Explaining the physical meaning of an eigenvalue in a real world problem consistency edit Jul11 asked Explaining the physical meaning of an eigenvalue in a real world problem Jul10 awarded Custodian Jul10 accepted Decomposition an operator in terms of symmetric and anti-symmetric components Jul10 reviewed Approve Decomposition an operator in terms of symmetric and anti-symmetric components Jul10 asked Decomposition an operator in terms of symmetric and anti-symmetric components Jul10 comment Factorizing a saddle point operator @ShuhaoCao: It is the divergence operator, but my current formulation is continuous, not discrete. For simplicity, I'm currently considering a 1D case where the divergence and gradient operators are equivalent. In the future, I'd like to consider higher dimensional cases where $u_1$ is, in fact, vector valued. Jul10 comment Factorizing a saddle point operator @RobertLewis: LU is not favorable because the resulting discrete linear operator is large. I'm trying to avoid a large solve by splitting the continuous operator before discretizing the system. Jul10 asked Factorizing a saddle point operator Jun5 accepted Laplace equation with periodic boundary conditions Jun4 comment Laplace equation with periodic boundary conditions @Landscape: Sounds fair enough :) Jun4 comment Laplace equation with periodic boundary conditions @Landscape: Indeed, this is what I suspected. But what of the form of the solutions? Are all solutions scalar shifts of each other if the periodic neumann condition is not imposed? Jun4 comment Laplace equation with periodic boundary conditions @Landscape: Of course! Jun4 asked Laplace equation with periodic boundary conditions May6 awarded Caucus