Global Bounds on Numerical Error for Ordinary Differential Equations. - Arieh Iserles; Gustaf Söderlind (J. Complex., 1993)

Explicit representations of biorthogonal polynomials. - Arieh Iserles; Syvert P. Nørsett (Numer. Algorithms, 1995)

Biorthogonal polynomials: Recent developments. - Arieh Iserles (Numer. Algorithms, 1996)

Approximation theory and optimization - tributes to M. J. D. Powell. - Martin D. Buhmann; Arieh Iserles (Cambridge University Press, 1997)

Numerical solution of isospectral flows. - Mari Paz Calvo; Arieh Iserles; Antonella Zanna (Math. Comput., 1997)

On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations. - Arieh Iserles; Antonella Zanna (LMS J. Comput. Math., 2000)

Approximating the exponential from a Lie algebra to a Lie group. - Elena Celledoni; Arieh Iserles (Math. Comput., 2000)

Semi-explicit methods for isospectral flows. - Mari Paz Calvo; Arieh Iserles; Antonella Zanna (Adv. Comput. Math., 2001)

On Cayley-Transform Methods for the Discretization of Lie-Group Equations. - Arieh Iserles (Found. Comput. Math., 2001)

On the Discretization of Double-Bracket Flows. - Arieh Iserles (Found. Comput. Math., 2002)

Complexity Theory for Lie-Group Solvers. - Elena Celledoni; Arieh Iserles; Syvert P. Nørsett; Bojan Orel (J. Complex., 2002)

Optimality of double bracket and generalized double bracket flows. - Anthony M. Bloch; Arieh Iserles (CDC, 2003)

Editorial. - Ronald A. DeVore; Arieh Iserles; Michael J. Todd (Found. Comput. Math., 2003)

On the optimality of double-bracket flows. - Anthony M. Bloch; Arieh Iserles (Int. J. Math. Math. Sci., 2004)

On the Spectra of Certain Matrices Generated by Involutory Automorphisms. - Arieh Iserles; Antonella Zanna (SIAM J. Matrix Anal. Appl., 2004)

Commutators of Skew-Symmetric Matrices. - Anthony M. Bloch; Arieh Iserles (Int. J. Bifurc. Chaos, 2005)

Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions. - Arieh Iserles; Antonella Zanna (SIAM J. Numer. Anal., 2005)

On an Isospectral Lie-Poisson System and Its Lie Algebra. - Anthony M. Bloch; Arieh Iserles (Found. Comput. Math., 2006)

Quadrature methods for multivariate highly oscillatory integrals using derivatives. - Arieh Iserles; Syvert P. Nørsett (Math. Comput., 2006)

Asymptotic expansion and quadrature of composite highly oscillatory integrals. - Arieh Iserles; David Levin (Math. Comput., 2011)

A fast and simple algorithm for the computation of Legendre coefficients. - Arieh Iserles (Numerische Mathematik, 2011)

On Rapid Computation of Expansions in Ultraspherical Polynomials. - María José Cantero; Arieh Iserles (SIAM J. Numer. Anal., 2012)

On expansions in orthogonal polynomials. - María José Cantero; Arieh Iserles (Adv. Comput. Math., 2013)

Effective Approximation for the Semiclassical Schrödinger Equation. - Philipp Bader; Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (Found. Comput. Math., 2014)

Numerical solution of Sturm-Liouville problems via Fer streamers. - Alberto Gil C. P. Ramos; Arieh Iserles (Numerische Mathematik, 2015)

Numerical Stability in the Presence of Variable Coefficients. - Ernst Hairer; Arieh Iserles (Found. Comput. Math., 2016)

The Joy and Pain of Skew Symmetry. - Arieh Iserles (Found. Comput. Math., 2016)

Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems. - Bin Wang 016; Arieh Iserles; Xinyuan Wu (Found. Comput. Math., 2016)

Computing highly oscillatory integrals. - Alfredo Deaño; Daan Huybrechs; Arieh Iserles (SIAM, 2018)

Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. - Changying Liu; Arieh Iserles; Xinyuan Wu (J. Comput. Phys., 2018)

Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (SIAM J. Numer. Anal., 2018)

Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix. - Arieh Iserles; Marcus Webb (CoRR, 2019)

A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. - Arieh Iserles; Marcus Webb (CoRR, 2019)

Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (Comput. Phys. Commun., 2019)

Orthogonal Systems with a Skew-Symmetric Differentiation Matrix. - Arieh Iserles; Marcus Webb (Found. Comput. Math., 2019)

Spectral computation of highly oscillatory integral equations in laser theory. - Jing Gao; Marissa Condon; Arieh Iserles (J. Comput. Phys., 2019)

Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (J. Comput. Phys., 2019)

An extended Filon-Clenshaw-Curtis method for high-frequency wave scattering problems in two dimensions. - Georg Maierhofer; Arieh Iserles; Nigel Peake (CoRR, 2020)

A Differential Analogue of Favard's Theorem. - Arieh Iserles; Marcus Webb (CoRR, 2020)

Approximation of wave packets on the real line. - Arieh Iserles; Karen Luong; Marcus Webb (CoRR, 2021)

Solving the linear semiclassical Schrödinger equation on the real line. - Arieh Iserles; Karolina Kropielnicka; Katharina Schratz; Marcus Webb (CoRR, 2021)

Positivity-preserving methods for population models. - Sergio Blanes; Arieh Iserles; Shev MacNamara (CoRR, 2021)

Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices. - Arieh Iserles; Marcus Webb (CoRR, 2022)

On an extended Filon method for highly oscillatory integrals over a simplex. - Jing Gao; Arieh Iserles (Math. Comput., 2022)

Orthogonal systems for time-dependent spectral methods. - Arieh Iserles (CoRR, 2023)

A framework for stable spectral methods in d-dimensional unit balls. - Jing Gao; Arieh Iserles (CoRR, 2023)

An elementary approach to splittings of unbounded operators. - Arieh Iserles; Karolina Kropielnicka (Comput. Math. Appl., 2024)

Mathematical foundations of spectral methods for time-dependent PDEs. - Arieh Iserles (CoRR, 2024)

Splitting methods for unbounded operators. - Arieh Iserles; Karolina Kropielnicka (CoRR, 2024)

An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals. - Arieh Iserles; Georg Maierhofer (CoRR, 2024)

Computation of some dispersive equations through their iterated linearisation. - Guannan Chen; Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (CoRR, 2024)

Spectral methods on a triangle and W-systems. - Jing Gao; Arieh Iserles (CoRR, 2024)

Convergence of a moving window method for the Schrödinger equation with potential on Rd. - Arieh Iserles; Buyang Li; Fangyan Yao (CoRR, 2024)

Fourth-order compact exponential splittings for unbounded operators. - Juan Carlos del Valle; Arieh Iserles; Karolina Kropielnicka (CoRR, 2025)

Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure. - Arieh Iserles (Found. Comput. Math., 2025)