Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

Floating-point arithmetic provides a practical means of representing real numbers on digital computers by encoding them in a finite number of bits for sign, exponent and significand. The IEEE-754 ...

Quantum computers are one of the key future technologies of the 21st century. Their potential surpasses even the best supercomputers. They have proven to be a powerful tool, in particular for solving ...

Spectral methods are very efficient numerical algorithms for solving partial differential equations in relatively simple geometries. The numerical errors introduced by spectral algorithms typically ...