I have a directed graph consisting of nodes and edges. A system of ordinary differential equations describes how the value at each node changes with respect to time, as a function of the value of the surrounding nodes that are connected by edges.
After numerical integration I can see how the value at each node changes as a function of time. Is there a way for me to see how each edge affects the change at a single node (using the Jacobian perhaps)?
Apologies for the lack of mathematical language.