1 citations · 1 across the 8 of their papers we have counts for
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Convergence of a moving window method for the Schrödinger equation with potential on
Arieh Iserles, Buyang Li, Fangyan Yao
We propose a novel framework, called moving window method, for solving the linear Schrödinger equation with an external potential in . This method employs a smooth cu…
Spectral methods on a triangle and W-systems
Jing Gao, Arieh Iserles
We present an overarching framework for stable spectral methods on a triangle, defined by a multivariate W-system and based on orthogonal polynomials on the triangle. Motivated by…
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…
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…