Next, I transform 10.4 to an ODE that I solve using Boost, which can handle complex coefficients.
I feel NDSolve could do this as well.
I suppose you won't get a Mac with 128 GB RAM in the first place, but if the sticks have temperature sensors it's, nomen omen, cool (the readings from the processor or motherboards are not reliable). Mine don't have them, so I used my fingerOn Macs you can get the temperature of each stick of RAM so there's probably a way to do that on a PC, too.The sticks are packed quite closely so they might overheat (I don't have any sensor there), but they felt just nicely warm. Besides, the computer didn't freeze specifically during computations, but at random moments. My friend told me that it sometimes happens on new Intel architectures (she's an overclocking maniac). I will see how it goes.You might also see if you can improve the cooling in the system either through software (changing the fan RPM settings) or changing the internal or external airflow.
I vaguely remember (from 10 years ago when I paid attention to this stuff) that RAM ran hot even under light loads but I may be wrong.
Yes, the code is in the book, middle of pg 461 -- I just use Mathematica's NIntegrate. There is an example calling routine on the previous page. Note that [$](a,b,c) = (\omega,\theta,\sigma)[$].Equation (10.4) looks like a very good example indeed. I have enough to write M(a,b,z) in the most general case (a,b,z are complex). Next, I transform 10.4 to an ODE that I solve using Boost, which can handle complex coefficients. BTW do you solve 10.4 using numerical quadrature?
CHF looks likes a benign integrand and even if not I reckon NIntegate is able to see that fact? (I'm guessing). The graphs of CHF in A&S look OK.Yes, the code is in the book, middle of pg 461 -- I just use Mathematica's NIntegrate. There is an example calling routine on the previous page. Note that [$](a,b,c) = (\omega,\theta,\sigma)[$].Equation (10.4) looks like a very good example indeed. I have enough to write M(a,b,z) in the most general case (a,b,z are complex). Next, I transform 10.4 to an ODE that I solve using Boost, which can handle complex coefficients. BTW do you solve 10.4 using numerical quadrature?