do not have explicit solutions and therefore numerical algorithms are required for their approximations. it is important to mention that if \(h\neq \frac {1}{2}\) the process b h is not a semi-martingale and the
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[Lecture Notes in Computer Science] Numerical Software Verification Volume 10381 || Formal Correctness of Comparison Algorithms Between Binary64 and Decimal64 Floating-Point Numbersdoi:10.1007/978-3-319-63501-9_3Abate, AlessandroBoldo, Sylvie
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1 . these results also show that with the offline/online procedure proposed in algorithms 1 and 2 , the evaluation cost of the rh scheme is comparable with the one of other schemes. note that, for a fair comparison, the other schemes have also been implemented in an offline/online...
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types of numerical errors that all these algorithms are destined to exhibit, the two most basic algorithms, Forward Euler (FE) and Backward Euler (BE), are introduced, and the fundamental differences between explicit and implicit integration schemes are demonstrated by means of these two algorithms...
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All of the apparatus, methods and algorithms disclosed and claimed herein can be made and executed without undue experimentation in light of the present disclosure. While the invention has been described in terms of preferred embodiments, it will be apparent to those of skill in the art that var...