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Arieh Iserles
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- affiliation: University of Cambridge, UK
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2020 – today
- 2024
- [j34]Arieh Iserles, Karolina Kropielnicka
:
An elementary approach to splittings of unbounded operators. Comput. Math. Appl. 176: 29-34 (2024) - [i17]Arieh Iserles, Karolina Kropielnicka:
An elementary approach to splittings of unbounded operators. CoRR abs/2401.06635 (2024) - [i16]Arieh Iserles:
Mathematical foundations of spectral methods for time-dependent PDEs. CoRR abs/2402.16744 (2024) - [i15]Arieh Iserles, Karolina Kropielnicka:
Splitting methods for unbounded operators. CoRR abs/2403.15147 (2024) - [i14]Arieh Iserles, Georg Maierhofer:
An accelerated Levin-Clenshaw-Curtis method for the evaluation of highly oscillatory integrals. CoRR abs/2404.11448 (2024) - [i13]Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh:
Computation of some dispersive equations through their iterated linearisation. CoRR abs/2405.04958 (2024) - [i12]Jing Gao, Arieh Iserles:
Spectral methods on a triangle and W-systems. CoRR abs/2408.01132 (2024) - [i11]Arieh Iserles, Buyang Li, Fangyan Yao:
Convergence of a moving window method for the Schrödinger equation with potential on Rd. CoRR abs/2408.09463 (2024) - 2023
- [i10]Arieh Iserles:
Orthogonal systems for time-dependent spectral methods. CoRR abs/2302.04217 (2023) - [i9]Jing Gao, Arieh Iserles:
A framework for stable spectral methods in d-dimensional unit balls. CoRR abs/2312.13183 (2023) - 2022
- [j33]Jing Gao, Arieh Iserles:
On an extended Filon method for highly oscillatory integrals over a simplex. Math. Comput. 92(340): 867-893 (2022) - [i8]Arieh Iserles, Marcus Webb:
Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices. CoRR abs/2206.07560 (2022) - 2021
- [i7]Arieh Iserles, Karen Luong
Approximation of wave packets on the real line. CoRR abs/2101.02566 (2021) - [i6]Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb:
Solving the linear semiclassical Schrödinger equation on the real line. CoRR abs/2102.00413 (2021) - [i5]Sergio Blanes, Arieh Iserles, Shev MacNamara:
Positivity-preserving methods for population models. CoRR abs/2102.08242 (2021) - 2020
- [i4]Georg Maierhofer, Arieh Iserles, Nigel Peake:
An extended Filon-Clenshaw-Curtis method for high-frequency wave scattering problems in two dimensions. CoRR abs/2006.05551 (2020) - [i3]Arieh Iserles, Marcus Webb:
A Differential Analogue of Favard's Theorem. CoRR abs/2012.07400 (2020)
2010 – 2019
- 2019
- [j32]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: 195-201 (2019) - [j31]Arieh Iserles, Marcus Webb
Orthogonal Systems with a Skew-Symmetric Differentiation Matrix. Found. Comput. Math. 19(6): 1191-1221 (2019) - [j30]Arieh Iserles, Karolina Kropielnicka
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. J. Comput. Phys. 376: 564-584 (2019) - [j29]Jing Gao, Marissa Condon, Arieh Iserles:
Spectral computation of highly oscillatory integral equations in laser theory. J. Comput. Phys. 395: 351-381 (2019) - [i2]Arieh Iserles, Marcus Webb:
Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix. CoRR abs/1911.05583 (2019) - [i1]Arieh Iserles, Marcus Webb:
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. CoRR abs/1911.08917 (2019) - 2018
- [b2]Alfredo Deaño, Daan Huybrechs, Arieh Iserles:
Computing highly oscillatory integrals. SIAM 2018, ISBN 978-1-611-97511-6, pp. 1-180 - [j28]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: 1-30 (2018) - [j27]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): 1547-1569 (2018) - 2016
- [j26]Bin Wang
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems. Found. Comput. Math. 16(1): 151-181 (2016) - [j25]Ernst Hairer, Arieh Iserles:
Numerical Stability in the Presence of Variable Coefficients. Found. Comput. Math. 16(3): 751-777 (2016) - [j24]Arieh Iserles:
The Joy and Pain of Skew Symmetry. Found. Comput. Math. 16(6): 1607-1630 (2016) - 2015
- [j23]Alberto Gil C. P. Ramos, Arieh Iserles:
Numerical solution of Sturm-Liouville problems via Fer streamers. Numerische Mathematik 131(3): 541-565 (2015) - 2014
- [j22]Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Effective Approximation for the Semiclassical Schrödinger Equation. Found. Comput. Math. 14(4): 689-720 (2014) - 2013
- [j21]María José Cantero, Arieh Iserles:
On expansions in orthogonal polynomials. Adv. Comput. Math. 38(1): 35-61 (2013) - 2012
- [j20]María José Cantero, Arieh Iserles:
On Rapid Computation of Expansions in Ultraspherical Polynomials. SIAM J. Numer. Anal. 50(1): 307-327 (2012) - 2011
- [j19]Arieh Iserles, David Levin:
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Math. Comput. 80(273): 279-296 (2011) - [j18]Arieh Iserles:
A fast and simple algorithm for the computation of Legendre coefficients. Numerische Mathematik 117(3): 529-553 (2011)
2000 – 2009
- 2006
- [j17]Anthony M. Bloch, Arieh Iserles:
On an Isospectral Lie-Poisson System and Its Lie Algebra. Found. Comput. Math. 6(1): 121-144 (2006) - [j16]Arieh Iserles, Syvert P. Nørsett:
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Math. Comput. 75(255): 1233-1258 (2006) - 2005
- [j15]Anthony M. Bloch, Arieh Iserles:
Commutators of Skew-Symmetric Matrices. Int. J. Bifurc. Chaos 15(3): 793-801 (2005) - [j14]Arieh Iserles, Antonella Zanna:
Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions. SIAM J. Numer. Anal. 42(5): 2218-2256 (2005) - 2004
- [j13]Anthony M. Bloch, Arieh Iserles:
On the optimality of double-bracket flows. Int. J. Math. Math. Sci. 2004(62): 3301-3319 (2004) - [j12]Arieh Iserles, Antonella Zanna:
On the Spectra of Certain Matrices Generated by Involutory Automorphisms. SIAM J. Matrix Anal. Appl. 25(4): 1110-1123 (2004) - 2003
- [j11]Ronald A. DeVore, Arieh Iserles, Michael J. Todd:
Editorial. Found. Comput. Math. 3(2): 111 (2003) - [c1]Anthony M. Bloch, Arieh Iserles:
Optimality of double bracket and generalized double bracket flows. CDC 2003: 528-532 - 2002
- [j10]Arieh Iserles:
On the Discretization of Double-Bracket Flows. Found. Comput. Math. 2(3): 305-329 (2002) - [j9]Elena Celledoni, Arieh Iserles, Syvert P. Nørsett, Bojan Orel:
Complexity Theory for Lie-Group Solvers. J. Complex. 18(1): 242-286 (2002) - 2001
- [j8]Mari Paz Calvo
Semi-explicit methods for isospectral flows. Adv. Comput. Math. 14(1): 1-24 (2001) - [j7]Arieh Iserles:
On Cayley-Transform Methods for the Discretization of Lie-Group Equations. Found. Comput. Math. 1(2): 129-160 (2001) - 2000
- [j6]Arieh Iserles, Antonella Zanna:
On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations. LMS J. Comput. Math. 3: 44-75 (2000) - [j5]Elena Celledoni, Arieh Iserles:
Approximating the exponential from a Lie algebra to a Lie group. Math. Comput. 69(232): 1457-1480 (2000)
1990 – 1999
- 1997
- [b1]Martin D. Buhmann, Arieh Iserles:
Approximation theory and optimization - tributes to M. J. D. Powell. Cambridge University Press 1997, ISBN 978-0-521-58190-5, pp. I-XIII, 1-220 - [j4]Mari Paz Calvo
Numerical solution of isospectral flows. Math. Comput. 66(220): 1461-1486 (1997) - 1996
- [j3]Arieh Iserles:
Biorthogonal polynomials: Recent developments. Numer. Algorithms 11(1): 215-228 (1996) - 1995
- [j2]Arieh Iserles, Syvert P. Nørsett:
Explicit representations of biorthogonal polynomials. Numer. Algorithms 10(1): 51-67 (1995) - 1993
- [j1]Arieh Iserles, Gustaf Söderlind:
Global Bounds on Numerical Error for Ordinary Differential Equations. J. Complex. 9(1): 97-112 (1993)
Coauthor Index
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