For numerical differentiation, dimensionality can be a blessing!
نویسندگان
چکیده
منابع مشابه
For numerical differentiation, dimensionality can be a blessing!
Finite difference methods, such as the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial differential equations. If such formulas are applied to observational data, in order to determine derivatives, the results can be disastrous. The reason for this is that measurement errors, and even rounding errors in computer approximations, are strongly ampli...
متن کاملFor Numerical Differentiation , Dimensionality Can Be
Finite diierence methods, like the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial diierential equations. If such formulas are applied to observational data, in order to determine derivatives, the results can be disastrous. The reason for this is that measurement errors, and even rounding errors in computer approximations, are strongly ampliied i...
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Intractability has been a thorny issue in cognitive science. Informally, intractability refers to the problem that computations that work for small toy domains cannot scale to domains of real-world complexity due to prohibitive resource consumption. It is not uncommon for cognitive scientists to try to discredit theories in competing frameworks by pointing out that those frameworks run into int...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-01033-9