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How To Solve Simple Bilinear Equations Under Extra Linear Constraints?

What are good algorithms to solve equations (or systems of equations or differential equations) using cloud computing?

  • Non linear equations, systems of equations or differential equations are solved using iterative approaches. Are there any parallel algorithms that could be used to solve the same problems, but exploiting a parallel approach that could be implemented in the cloud?

  • Answer:

    Absolutely. Researchers and programmers have done it (i.e. running parallel iterative solvers on remote clusters) for years, since the beginning of parallel computing. However, note that the parallelization typically takes place in each iteration (rather than distributing the iterations). ------------------ If you specify a system of equations that you want to solve using an iterative method, it's likely that a parallel implementation of that method already exists freely on the internet.

Kenneth Tran at Quora Visit the source

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It's the Latency, Stupid -- Stuart Cheshire, 1996. Communication between instances in the cloud are hundreds times slower than that between nodes in a supercomputer. So I would expect a typical MPI-based PDE solver to be hundreds times slower in the cloud than on a supercomputer. That, however, may change as research effort is put into this topic.

Qiqi Wang

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