1 citations · 1 across the 6 of their papers we have counts for
6 papers
Splitting methods for unbounded operators
Arieh Iserles, Karolina Kropielnicka
This paper considers computational methods that split a vector field into three components in the case when both the vector field and the split components might be unbounded. We fi…
Mathematical foundations of spectral methods for time-dependent PDEs
Arieh Iserles
The contention of this paper is that a spectral method for time-dependent PDEs is basically no more than a choice of an orthonormal basis of the underlying Hilbert space. This choi…
An elementary approach to splittings of unbounded operators
Arieh Iserles, Karolina Kropielnicka
Using elementary means, we derive the three most popular splittings of and their error bounds in the case when and are (possibly unbounded) operators in a Hilbe…
A recurrence relation for generalised connection coefficients
Jing Gao, Arieh Iserles
We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients be…
On skyburst polynomials and their zeros
María José Cantero, Arieh Iserles
We consider polynomials orthogonal on the unit circle with respect to the complex-valued measure , where . We derive their explic…
Orthogonal systems for time-dependent spectral methods
Arieh Iserles
This paper is concerned with orthonormal systems in real intervals, given with zero Dirichlet boundary conditions. More specifically, our interest is in systems with a skew-symmetr…