butgiventhefrequencyyouwilluseitduringThermoitishelpfultohaveaveryfastwayofinterpolating.Thishand-outwillbehelpfulinquicklyinterpolatingbyassumingalinearrelationshipbetweendatapoints.InThermo,mostdatatablesthatyouwillusearesetupsothatlinearinterpolationwillgiveaveryclosevalue(betterthan1%inmostcases).Assumeadependentvariable...
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Moreover, by combining the differential inequality approach and Gagliardo–Nirenberg interpolation inequality, the explicit upper and lower bounds of the blow-up time are deduced when blow-up singularity occurs. However, the present methods cannot be directly used to handle the blow-up properties of...