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Search results with tag "Method of lines"
1 The adjoint method - Stanford University Computer Science
cs.stanford.educontinuous; this method of lines induces a system of ODE. The method-of-lines treatment has two implications. First, the adjoint equation for the problem is also an ODE induced by the method of lines, and the derivation of the adjoint equation must re ect that. Second, the forward and adjoint ODE can be solved by standard adaptive ODE integrators.
The Numerical Method of Lines for Partial Differential ...
www.polymath-software.com3 The problem then requires the solution of Equations (3), (5), and (7) which results in nine simultaneous ordinary differential equations and two explicit algebraic