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Questions related to the calculation or use of the Jacobian matrix or its determinant. Not to be confused with the Jacobi iterative method for solving systems of linear equations. For those, use [iterative-method] instead.

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Method of Lines: How to simplify Jacobian with periodic BCs?

If your advection problem had Dirichlet of Neumann boundary conditions, the linear system would be tridiagonal and you could apply the Thomas algorithm. With periodic boundary conditions, however, we …
Steven Roberts's user avatar
4 votes

Specifying ode solver options to speed up compute time

('Jacobian', jacobian)); ttoc = toc(ttic); fprintf('runtime %f seconds ... … If you insist on having JPattern, use jacobian = advMat + diffMat; jpattern = jacobian ~= 0; …
Steven Roberts's user avatar
5 votes

Solving stiff ODEs: Dealing with Jacobian terms which take too long to compute with finite d...

In the extreme case of using the zero matrix as the Jacobian, Newton's method degenerates into a fixed point iteration. … Conclusion Probably the easiest think to do is try CVODE with the partial Jacobian because your code is already set up for this. …
Steven Roberts's user avatar