What is the maximum number of equations can be solved by ode15s solver?

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AZZAM YOUNUS
AZZAM YOUNUS 2016-1-7
评论： John D'Errico 2016-1-7
As pde15s solver can solve a system of n equations. What is the maximum value of n?

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Walter Roberson
Walter Roberson 2016-1-7
4503599627370495 is the most you can count on; beyond that you would not be sure that Mathworks has been careful to code all of their indices as uint64 instead of as double.
This assumes that you have a pre-production x64 architecture chip that implements more than 48 address bits, as otherwise you would be restricted by x64 architecture to 2^48-1 bytes per array, and as 8 bytes are needed for each output value, that would restrict you to a mere 2^45-1 (35184372088831) equations until Intel gets its act together. It is a real nuisance for the people who have more than 2 petabytes of RAM installed :(

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