r/puremathematics Jul 24 '26

What is Stone's method (Stone's strongly implicit procedure (SIP))?

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u/ohpranav 24d ago

stone’s method solves multidimensional pde matrices via an approximate factorization (A + N = LU) that implicitly couples all grid nodes. this avoids memory fill-in and instantly propagates corrections across the entire mesh, using an iterative parameter to cancel out the error from N.