Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise-linear finite element methods for parabolic integrodifferential ...

Computer scientists have devised an innovative and elegantly concise algorithm that can efficiently solve systems of linear equations that are critical to such important computer applications as image ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

QLSP refers to the problem of solving linear systems of equations using quantum computing. Solutions to the QLSP often rely on the quantumization of classical linear algebra algorithms used in quantum ...