Arieh Iserles

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 25

Top Topics

Spectral Methods

Hamilton Jacobi

Top Venues

Found. Comput. Math.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Arieh Iserles, Karolina Kropielnicka
An elementary approach to splittings of unbounded operators. CoRR (2024)
Arieh Iserles, Karolina Kropielnicka
Splitting methods for unbounded operators. CoRR (2024)
Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Computation of some dispersive equations through their iterated linearisation. CoRR (2024)
Arieh Iserles, Georg Maierhofer
An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals. CoRR (2024)
Arieh Iserles
Mathematical foundations of spectral methods for time-dependent PDEs. CoRR (2024)
Jing Gao, Arieh Iserles
A framework for stable spectral methods in d-dimensional unit balls. CoRR (2023)
Arieh Iserles
Orthogonal systems for time-dependent spectral methods. CoRR (2023)
Jing Gao, Arieh Iserles
On an extended Filon method for highly oscillatory integrals over a simplex. Math. Comput. 92 (340) (2022)
Arieh Iserles, Marcus Webb
Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices. CoRR (2022)
Arieh Iserles, Karen Luong, Marcus Webb
Approximation of wave packets on the real line. CoRR (2021)
Sergio Blanes, Arieh Iserles, Shev MacNamara
Positivity-preserving methods for population models. CoRR (2021)
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
Solving the linear semiclassical Schrödinger equation on the real line. CoRR (2021)
Georg Maierhofer, Arieh Iserles, Nigel Peake
An extended Filon-Clenshaw-Curtis method for high-frequency wave scattering problems in two dimensions. CoRR (2020)
Arieh Iserles, Marcus Webb
A Differential Analogue of Favard's Theorem. CoRR (2020)
Arieh Iserles, Marcus Webb
Orthogonal Systems with a Skew-Symmetric Differentiation Matrix. Found. Comput. Math. 19 (6) (2019)
Jing Gao, Marissa Condon, Arieh Iserles
Spectral computation of highly oscillatory integral equations in laser theory. J. Comput. Phys. 395 (2019)
Arieh Iserles, Marcus Webb
Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix. CoRR (2019)
Arieh Iserles, Marcus Webb
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. CoRR (2019)
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion. Comput. Phys. Commun. 234 (2019)
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. J. Comput. Phys. 376 (2019)
Changying Liu, Arieh Iserles, Xinyuan Wu
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. J. Comput. Phys. 356 (2018)
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential. SIAM J. Numer. Anal. 56 (3) (2018)
Ernst Hairer, Arieh Iserles
Numerical Stability in the Presence of Variable Coefficients. Found. Comput. Math. 16 (3) (2016)
Bin Wang, Arieh Iserles, Xinyuan Wu
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems. Found. Comput. Math. 16 (1) (2016)
Arieh Iserles
The Joy and Pain of Skew Symmetry. Found. Comput. Math. 16 (6) (2016)
Alberto Gil C. P. Ramos, Arieh Iserles
Numerical solution of Sturm-Liouville problems via Fer streamers. Numerische Mathematik 131 (3) (2015)
Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Effective Approximation for the Semiclassical Schrödinger Equation. Found. Comput. Math. 14 (4) (2014)
María José Cantero, Arieh Iserles
On expansions in orthogonal polynomials. Adv. Comput. Math. 38 (1) (2013)
María José Cantero, Arieh Iserles
On Rapid Computation of Expansions in Ultraspherical Polynomials. SIAM J. Numer. Anal. 50 (1) (2012)
Arieh Iserles, David Levin
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Math. Comput. 80 (273) (2011)
Arieh Iserles
A fast and simple algorithm for the computation of Legendre coefficients. Numerische Mathematik 117 (3) (2011)
Arieh Iserles, Syvert P. Nørsett
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Math. Comput. 75 (255) (2006)
Anthony M. Bloch, Arieh Iserles
On an Isospectral Lie-Poisson System and Its Lie Algebra. Found. Comput. Math. 6 (1) (2006)
Arieh Iserles, Antonella Zanna
Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions. SIAM J. Numer. Anal. 42 (5) (2005)
Anthony M. Bloch, Arieh Iserles
Commutators of Skew-Symmetric Matrices. Int. J. Bifurc. Chaos 15 (3) (2005)
Anthony M. Bloch, Arieh Iserles
On the optimality of double-bracket flows. Int. J. Math. Math. Sci. 2004 (62) (2004)
Arieh Iserles, Antonella Zanna
On the Spectra of Certain Matrices Generated by Involutory Automorphisms. SIAM J. Matrix Anal. Appl. 25 (4) (2004)
Ronald A. DeVore, Arieh Iserles, Michael J. Todd
Editorial. Found. Comput. Math. 3 (2) (2003)
Anthony M. Bloch, Arieh Iserles
Optimality of double bracket and generalized double bracket flows. CDC (2003)
Elena Celledoni, Arieh Iserles, Syvert P. Nørsett, Bojan Orel
Complexity Theory for Lie-Group Solvers. J. Complex. 18 (1) (2002)
Arieh Iserles
On the Discretization of Double-Bracket Flows. Found. Comput. Math. 2 (3) (2002)
Arieh Iserles
On Cayley-Transform Methods for the Discretization of Lie-Group Equations. Found. Comput. Math. 1 (2) (2001)
Mari Paz Calvo, Arieh Iserles, Antonella Zanna
Semi-explicit methods for isospectral flows. Adv. Comput. Math. 14 (1) (2001)
Arieh Iserles, Antonella Zanna
On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations. LMS J. Comput. Math. 3 (2000)
Elena Celledoni, Arieh Iserles
Approximating the exponential from a Lie algebra to a Lie group. Math. Comput. 69 (232) (2000)
Mari Paz Calvo, Arieh Iserles, Antonella Zanna
Numerical solution of isospectral flows. Math. Comput. 66 (220) (1997)
Arieh Iserles
Biorthogonal polynomials: Recent developments. Numer. Algorithms 11 (1) (1996)
Arieh Iserles, Syvert P. Nørsett
Explicit representations of biorthogonal polynomials. Numer. Algorithms 10 (1) (1995)
Arieh Iserles, Gustaf Söderlind
Global Bounds on Numerical Error for Ordinary Differential Equations. J. Complex. 9 (1) (1993)