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 Jan 14 comment Solving gradient of an especial heat equation @JoonasIlmavirta, I meant a closed form solution for given initial and boundary conditions. Jan 13 revised Solving gradient of an especial heat equation edited body Jan 13 revised Solving gradient of an especial heat equation added 42 characters in body Jan 13 revised Solving gradient of an especial heat equation added 42 characters in body Jan 12 revised Solving gradient of an especial heat equation added 75 characters in body Jan 12 revised Solving gradient of an especial heat equation edited tags Jan 11 asked Solving gradient of an especial heat equation Aug 1 comment Finding gradient of an optimization @Dirk you're right. the relaxed variable $w$ would be better. I have modified my question, now. well because in each step $w$ would be changed to a new one then from the equation the heat $T(t_i, w)$ would change, too. Maybe if I say that $T(t_i, w)$ is updating in each step, rather would be better. Aug 1 revised Finding gradient of an optimization deleted 2 characters in body Aug 1 asked Finding gradient of an optimization Jul 11 awarded Supporter Jun 2 comment How to model a time-discrete heat equation on a graph? @DelioMungnolo: Because I aim at measuring temperature in some arbitrary vertices after modeling, then I guess(not sure) this wont lead to what I have in mind(edge-based identification problem). I would like to use incidence matrix and, consequently, one can use Laplacian matrix as well. Jun 2 revised How to model a time-discrete heat equation on a graph? edited tags Jun 2 asked How to model a time-discrete heat equation on a graph? Jun 1 comment Heat equation with graph laplacian @DelioMugnolo I was deleting some unanswered old questions that unfortunately that question was among of them and I did wrong. This is why I posted it again. May 31 revised Heat equation with graph laplacian added 6 characters in body May 31 asked Heat equation with graph laplacian May 29 awarded Commentator Jan 9 asked Lagrange multiplier and semidefinite programming Oct 18 comment positive semidefinite matrix condition I want to have an embedding model in terms of column of $V$, i.e. $v_i$'s.