Abstract

This chapter deals with fundamental theories on the accuracy of numerical calculation and some cases that seems to be important, somewhat different from previous chapters. We must remember that numerical errors are included in the output data of the computer. In particular, do not overlook the important points you need to know when parallelizing codes. Pursuit of calculation speed is, of course, the central theme of this book, however, it is premised that it produces correct results. This chapter introduces a numerical computation method with guaranteed accuracy in large-scale numerical computations, convergence accuracy problems in parallel computing, and high-precision calculation in HPC.

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