Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

For many numerical computation algorithms, the very last step is to solve an algebra equation or a system of algebraic equations. Most of these algebraic equations cannot be solved analytically. In ...

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, ...