IIRC, there is no best numerical derivative algorithm. Each of them is unstable for some inputs. Oddly, integration algorithms are usually stable, though often not fast.<P>Symbolic differention is a ...

Researchers have successfully extended the quantum phase difference estimation algorithm, a general quantum algorithm for the direct calculations of energy gaps, to enable the direct calculation of ...

A standard experimental setup for Inelastic Electron Tunneling Spectroscopy (IETS) performs the measurement of the second derivative of the current with respect to the voltage (\(d^2I/dV^2\)) using a ...

Calculation of high-order vertical derivatives represents a fundamental challenge in gravity and magnetic data processing, with critical applications in potential field separation, continuation ...

In recent years, research and development on quantum computers has made considerable progress. Quantum chemical calculations for electronic structures of atoms and molecules are attracting great ...