Arieh Iserles - Author Profile

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Iserles, Arieh

Author ID:	iserles.arieh
Published as:	Iserles, Arieh; Iserles, A.
Homepage:	http://www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Arieh_Iserles.html
External Links:	MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef

Documents Indexed:	230 Publications since 1977, including 6 Books and 15 Additional arXiv Preprints
	50 Contributions as Editor · 1 Further Contribution
Biographic References:	2 Publications
Co-Authors:	85 Co-Authors with 165 Joint Publications
	3,360 Co-Co-Authors

all top 5

Co-Authors

114	single-authored
43	Nørsett, Syvert Paul
14	Condon, Marissa
13	Kropielnicka, Karolina
12	Gao, Jing
12	Zanna, Antonella
11	Deaño, Alfredo
9	Singh, Pranav
7	Buhmann, Martin Dietrich
7	Hairer, Ernst
7	Webb, Marcus
6	Bloch, Anthony Michael
5	Cantero, María José
5	Huybrechs, Daan
5	Saff, Edward Barry
4	Böttcher, Albrecht
4	Liu, Yunkang
3	Bader, Philipp
3	Brunner, Hermann
3	Celledoni, Elena
3	Grudsky, Sergei Mikhailovich
3	MacNamara, Shev F.
3	Quispel, Gilles Reinout Willem
3	Sanz-Serna, Jesús María
2	Baxter, Brad J. C.
2	Blanes, Sergio
2	Budd, Christopher John
2	Calvo, M. P.
2	Fokas, Athanassios S.
2	Hochbruck, Marlis
2	Koch, Per Erik
2	Levin, David N.
2	Liu, Xiaoyan
2	Lubich, Christian
2	Maierhofer, Georg
2	Marsden, Jerrold Eldon
2	Paz Calvo, Mari
2	Powell, Michael James David
2	Ratiu, Tudor Stefan
2	Strang, William Gilbert
2	Stuart, Andrew M.
2	Wang, Bin
2	Wu, Xinyuan
1	Adcock, Ben
1	Blatt, Hans-Peter
1	Brînzănescu, Vasile
1	Broomhead, David S.
1	Casas, Fernando
1	Celsus, Andrew F.
1	Chen, Guannan
1	Davis, Philip J.
1	DeVore, Ronald A.
1	Engquist, Bjorn E.
1	Feldstein, Alan
1	Gautschi, Walter
1	Gilvey, Benjamin
1	Gómez-Ullate, David
1	Levi, Decio
1	Li, Buyang
1	Liu, Changying
1	Luong, Karen
1	Maczynski, Kornel
1	Marthinsen, Arne
1	McLachlan, Robert I.
1	Munthe-Kaas, Hans Z.
1	Olver, Peter John
1	Olver, Sheehan Shakiban
1	Orel, Bojan
1	Peake, Nigel
1	Peplow, Andrew T.
1	Ramaswami, Geetha
1	Ramos, Alberto Gil Couto Pimentel
1	Rasmussen, Atgeirr Flø
1	Schönlieb, Carola-Bibiane
1	Schratz, Katharina
1	Smitheman, S. A.
1	Söderlind, Gustaf
1	Sofroniou, Mark
1	Süli, Endre E.
1	Tempesta, Piergiulio
1	Terjéki, József
1	Trevelyan, Jon
1	Tse, P. S. P.
1	Üsküplü Altınbaşak, Sevda
1	Williamson, R. A.
1	Winternitz, Pavel
1	Xu, Tao
1	Yao, Fangyan

all top 5

Serials

40	Acta Numerica
25	IMA Journal of Numerical Analysis
12	Mathematics of Computation
10	BIT
9	SIAM Journal on Numerical Analysis
8	Foundations of Computational Mathematics
7	Applied Numerical Mathematics
6	Journal of Computational and Applied Mathematics
6	SIAM Journal on Mathematical Analysis
4	Numerische Mathematik
4	Transactions of the American Mathematical Society
3	Journal of Computational Physics
3	Journal of Mathematical Analysis and Applications
3	Journal of Computational Mathematics
3	Constructive Approximation
3	European Journal of Applied Mathematics
3	Annals of Numerical Mathematics
3	Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3	Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2	Computers & Mathematics with Applications
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Journal of Approximation Theory
2	Journal of Complexity
2	Journal of Integral Equations and Applications
2	Numerical Algorithms
2	Advances in Computational Mathematics
2	Discrete and Continuous Dynamical Systems
2	Oberwolfach Reports
2	BIT. Nordisk Tidskrift for Informationsbehandling
2	The Institute of Mathematics and Its Applications Conference Series. New Series
2	London Mathematical Society Lecture Note Series
2	Journal of Computational Dynamics
2	Cambridge Texts in Applied Mathematics
1	Communications in Mathematical Physics
1	Computer Physics Communications
1	Communications on Pure and Applied Mathematics
1	Rocky Mountain Journal of Mathematics
1	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1	Calcolo
1	International Journal of Mathematics and Mathematical Sciences
1	Journal of Differential Equations
1	Journal of the London Mathematical Society. Second Series
1	Studies in Applied Mathematics
1	Utilitas Mathematica
1	Bulletin of the Greek Mathematical Society
1	Physica D
1	COMPEL
1	SIAM Journal on Matrix Analysis and Applications
1	CWI Quarterly
1	Journal of Physics A: Mathematical and General
1	Bulletin. The Institute of Mathematics and its Applications
1	Notices of the American Mathematical Society
1	Celestial Mechanics and Dynamical Astronomy
1	New Zealand Journal of Mathematics
1	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1	The New York Journal of Mathematics
1	Methods and Applications of Analysis
1	The Journal of Fourier Analysis and Applications
1	European Mathematical Society Newsletter
1	Mathematics Today (Southend-on-Sea)
1	LMS Journal of Computation and Mathematics
1	Discrete and Continuous Dynamical Systems. Series B
1	HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1	Applied Mathematics and Mathematical Computation
1	CRM Proceedings & Lecture Notes
1	Statistics: Textbooks and Monographs
1	Science China. Mathematics
1	S\(\vec{\text{e}}\)MA Journal
1	Dolomites Research Notes on Approximation
1	Research in the Mathematical Sciences
1	Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1	Other Titles in Applied Mathematics
1	Transactions of Mathematics and its Applications

all top 5

Fields

216	Numerical analysis (65-XX)
79	Ordinary differential equations (34-XX)
53	General and overarching topics; collections (00-XX)
46	Approximations and expansions (41-XX)
32	Harmonic analysis on Euclidean spaces (42-XX)
30	Partial differential equations (35-XX)
23	Dynamical systems and ergodic theory (37-XX)
21	Special functions (33-XX)
10	Functions of a complex variable (30-XX)
7	Integral equations (45-XX)
6	Nonassociative rings and algebras (17-XX)
6	Topological groups, Lie groups (22-XX)
5	Optics, electromagnetic theory (78-XX)
4	Linear and multilinear algebra; matrix theory (15-XX)
4	Difference and functional equations (39-XX)
4	Operator theory (47-XX)
3	Real functions (26-XX)
2	Combinatorics (05-XX)
2	Geometry (51-XX)
2	Quantum theory (81-XX)
2	Information and communication theory, circuits (94-XX)
1	History and biography (01-XX)
1	Number theory (11-XX)
1	Associative rings and algebras (16-XX)
1	Sequences, series, summability (40-XX)
1	Functional analysis (46-XX)
1	Differential geometry (53-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Probability theory and stochastic processes (60-XX)
1	Mechanics of particles and systems (70-XX)
1	Fluid mechanics (76-XX)
1	Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

207 Publications have been cited 3,345 times in 1,978 Documents	Cited by ▼	Year ▼
Lie-group methods. Zbl 1064.65147 Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella	240	2000
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309 Iserles, Arieh; Nørsett, Syvert P.	199	2005
A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060 Iserles, Arieh	188	2009
On the generalized pantograph functional-differential equation. Zbl 0767.34054 Iserles, A.	139	1993
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080 Iserles, A.; Nørsett, S. P.	125	1999
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025 Iserles, A.; Nørsett, S. P.	121	2004
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016 Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.	119	1991
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029 Wang, Bin; Iserles, Arieh; Wu, Xinyuan	77	2016
Stability of the discretized pantograph differential equation. Zbl 0774.34057 Buhmann, Martin; Iserles, Arieh	72	1993
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149 Iserles, Arieh	64	2004
The pantograph equation in the complex plane. Zbl 0891.34072 Derfel, G.; Iserles, A.	48	1997
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142 Budd, C. J.; Iserles, A.	46	1999
On neutral functional-differential equations with proportional delays. Zbl 0873.34066 Iserles, Arieh; Liu, Yunkang	44	1997
Numerical solution of isospectral flows. Zbl 0907.65067 Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella	43	1997
Computing highly oscillatory integrals. Zbl 1400.65004 Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh	40	2018
On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148 Iserles, Arieh	38	2005
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348 Iserles, Arieh; Nørsett, Syvert P.	37	2008
On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107 Iserles, Arieh	36	2002
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019 Iserles, Arieh; Nørsett, Syvert P.	35	2006
Exact and discretized stability of the pantograph equation. Zbl 0880.65058 Iserles, Arieh	32	1997
On the theory of parallel Runge-Kutta methods. Zbl 0712.65071 Iserles, Arieh; Nørsett, Syvert P.	31	1990
Stability and dynamics of numerical methods for nonlinear ordinary differential equations. Zbl 0686.65054 Iserles, A.	30	1990
Highly oscillatory problems. Zbl 1170.37002	30	2009
On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077 Iserles, A.; Marthinsen, A.; Nørsett, S. P.	29	1999
Generalized leapfrog methods. Zbl 0637.65089 Iserles, A.	28	1986
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052 Liu, Changying; Iserles, Arieh; Wu, Xinyuan	28	2018
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002 Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	28	2010
Order stars. Zbl 0743.65062 Iserles, Arieh; Nørsett, Syvert P.	27	1991
Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009 Celledoni, Elena; Iserles, Arieh	27	2000
Highly oscillatory quadrature: the story so far. Zbl 1119.65317 Iserles, A.; Nørsett, S. P.; Olver, S.	27	2006
The optimal accuracy of difference schemes. Zbl 0573.65071 Iserles, Arieh; Strang, Gilbert	26	1983
B-series methods cannot be volume-preserving. Zbl 1128.65054 Iserles, A.; Quispel, G. R. W.; Tse, P. S. P.	26	2007
Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230 Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	26	2014
Solving linear ordinary differential equations by exponentials of iterated commutators. Zbl 0562.65046 Iserles, A.	25	1984
Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050 Iserles, Arieh	24	2002
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030 Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.	23	1990
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060 Casas, Fernando; Iserles, Arieh	23	2006
Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040 Celledoni, Elena; Iserles, Arieh	23	2001
Stability and asymptotic stability of functional-differential equations. Zbl 0832.34080 Iserles, Arieh; Terjéki, József	23	1995
On pantograph integro-differential equations. Zbl 0816.45005 Iserles, Arieh; Liu, Yunkang	22	1994
On the dynamics of a discretized neutral equation. Zbl 0759.65056 Buhmann, M. D.; Iserles, A.	21	1992
Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069 Iserles, Arieh; Zanna, Antonella	21	2000
Numerical analysis of delay differential equations with variable delays. Zbl 0828.65083 Iserles, Arieh	21	1994
A unified approach to spurious solutions introduced by time discretization. I: Basic theory. Zbl 0736.65050 Iserles, A.; Peplow, A. T.; Stuart, A. M.	20	1991
Order stars and a saturation theorem for first-order hyperbolics. Zbl 0493.65039 Iserles, Arieh	20	1982
On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	19	2010
How large is the exponential of a banded matrix? Zbl 0968.22016 Iserles, Arieh	19	2000
Runge-Kutta methods for orthogonal and isospectral flows. Zbl 0871.65074 Calvo, M. P.; Iserles, A.; Zanna, A.	18	1996
On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060 Iserles, A.	18	2001
Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040 Iserles, Arieh; Zanna, Antonella	18	2005
On the theory of biorthogonal polynomials. Zbl 0662.42017 Iserles, Arieh; Nørsett, Syvert P.	18	1988
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149 Iserles, Arieh; Nørsett, Syvert P.	18	2009
On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	18	2009
A first course in the numerical analysis of differential equations. Zbl 0841.65001 Iserles, Arieh	17	1995
Runge-Kutta methods for neutral differential equations. Zbl 0834.65061 Buhmann, M. D.; Iserles, A.; Nørsett, S. P.	17	1993
On nonlinear delay differential equations. Zbl 0804.34065 Iserles, A.	16	1994
On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099 Iserles, A.	16	2004
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280 Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	16	2016
Qualitative numerical analysis of ordinary differential equations. Zbl 0856.65082 Iserles, Arieh; Zanna, Antonella	15	1996
Expansions that grow on trees. Zbl 1126.34310 Iserles, Arieh	15	2002
A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056 Gao, Jing; Iserles, Arieh	15	2017
A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001 Iserles, Arieh	15	2011
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020 Iserles, A.; Nørsett, S. P.	15	2006
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123 Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	15	2011
Zeros of expansions in orthogonal polynomials. Zbl 0679.33007 Iserles, A.; Saff, E. B.	14	1989
Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301	14	2006
On transformations and zeros of polynomials. Zbl 0754.26007 Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B.	13	1991
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002 Davis, Philip J.	13	1993
On orthogonal polynomials transformed by the QR algorithm. Zbl 0764.65008 Buhmann, M. D.; Iserles, A.	13	1992
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154 Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.	13	2011
On systems of differential equations with extrinsic oscillation. Zbl 1207.65093 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	13	2010
Equilibria of Runge-Kutta methods. Zbl 0693.65047 Hairer, E.; Iserles, A.; Sanz-Serna, J. M.	13	1990
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045 Blanes, Sergio; Iserles, Arieh	12	2012
Embedding of delay equations into an infinite-dimensional ODE system. Zbl 0817.34045 Feldstein, Alan; Iserles, Arieh; Levin, David	12	1995
On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao	12	2009
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048 Iserles, Arieh; Webb, Marcus	12	2019
Time symmetry and high-order Magnus methods. Zbl 0996.65071 Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.	11	2001
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022 Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	11	2010
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079 Blanes, Sergio; Iserles, Arieh; Macnamara, Shev	11	2022
Unified approach to spurious solutions introduced by time discretization. II: BDF-like methods. Zbl 0760.65071 Iserles, A.; Stuart, A. M.	10	1992
Zeros of transformed polynomials. Zbl 0698.33007 Iserles, Arieh; Nørsett, Syvert P.	10	1990
On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013 Iserles, A.; Powell, M. J. D.	9	1981
Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022 Iserles, Arieh; Nørsett, Syvert P.	9	1987
Order stars and rational approximants to exp(z). Zbl 0674.65043 Iserles, Arieh; Nørsett, Syvert P.	9	1989
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. Zbl 1459.42006 Iserles, Arieh; Webb, Marcus	9	2020
Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081 Gao, Jing; Iserles, Arieh	9	2017
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh	9	2011
Numerical stability in the presence of variable coefficients. Zbl 1347.65144 Hairer, Ernst; Iserles, Arieh	9	2016
Integro-differential equations and generalized hypergeometric functions. Zbl 0880.45005 Iserles, Arieh; Liu, Yunkang	8	1997
Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. Zbl 1395.65102 Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	8	2018
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167 Iserles, A.; Macnamara, S.	8	2019
The dynamics of numerics and the numerics of dynamics. Based on the proceedings of a conference, organized by the Institute of Mathematics and its Applications, held at the University of Bristol, UK, 31st July - 2nd August 1990. Zbl 0745.00036	7	1992
The asymptotic behaviour of certain difference equations with proportional delays. Zbl 0808.39008 Iserles, A.	7	1994
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045 Iserles, Arieh; Levin, David	7	2011
Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina	7	2012
Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139 Iserles, Arieh; McLachlan, Robert; Zanna, Antonella	7	1999
On skew-symmetric differentiation matrices. Zbl 1288.65121 Iserles, Arieh	7	2014
The kissing polynomials and their Hankel determinants. Zbl 1503.33011 Celsus, Andrew F.; Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh	7	2022
Numerical analysis of functional equations with a variable delay. Zbl 0795.65048 Buhmann, M.; Iserles, A.	6	1992
Beyond the classical theory of computational ordinary differential equations. Zbl 0886.65073 Iserles, Arieh	6	1997
On an extended Filon method for highly oscillatory integrals over a simplex. Zbl 1511.65018 Gao, Jing; Iserles, Arieh	2	2023
Approximation of wave packets on the real line. Zbl 1530.41025 Iserles, Arieh; Luong, Karen; Webb, Marcus	1	2023
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079 Blanes, Sergio; Iserles, Arieh; Macnamara, Shev	11	2022
The kissing polynomials and their Hankel determinants. Zbl 1503.33011 Celsus, Andrew F.; Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh	7	2022
Quadrature methods for highly oscillatory singular integrals. Zbl 1474.65056 Gao, Jing; Condon, Marissa; Iserles, Arieh; Gilvey, Benjamin; Trevelyan, Jon	4	2021
Fast computation of orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1503.65156 Iserles, Arieh; Webb, Marcus	3	2021
A differential analogue of Favard’s theorem. Zbl 1500.42010 Iserles, Arieh; Webb, Marcus	2	2021
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. Zbl 1459.42006 Iserles, Arieh; Webb, Marcus	9	2020
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048 Iserles, Arieh; Webb, Marcus	12	2019
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167 Iserles, A.; Macnamara, S.	8	2019
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. Zbl 1416.81064 Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	6	2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200 Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	4	2019
Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion. Zbl 07682603 Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	3	2019
Spectral computation of highly oscillatory integral equations in laser theory. Zbl 1452.65400 Gao, Jing; Condon, Marissa; Iserles, Arieh	2	2019
Computing highly oscillatory integrals. Zbl 1400.65004 Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh	40	2018
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052 Liu, Changying; Iserles, Arieh; Wu, Xinyuan	28	2018
Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. Zbl 1395.65102 Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	8	2018
An adaptive Filon algorithm for highly oscillatory integrals. Zbl 1405.65028 Gao, Jing; Iserles, Arieh	1	2018
A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056 Gao, Jing; Iserles, Arieh	15	2017
Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081 Gao, Jing; Iserles, Arieh	9	2017
Banded, stable, skew-symmetric differentiation matrices of high order. Zbl 1433.65138 Hairer, Ernst; Iserles, Arieh	3	2017
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029 Wang, Bin; Iserles, Arieh; Wu, Xinyuan	77	2016
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280 Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	16	2016
Numerical stability in the presence of variable coefficients. Zbl 1347.65144 Hairer, Ernst; Iserles, Arieh	9	2016
From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028 Cantero, María José; Iserles, Arieh	6	2016
The joy and pain of skew symmetry. Zbl 1357.65151 Iserles, Arieh	4	2016
On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs. Zbl 1351.65055 Condon, Marissa; Gao, Jing; Iserles, Arieh	1	2016
Numerical solution of Sturm-Liouville problems via Fer streamers. Zbl 1331.65108 Ramos, Alberto Gil C. P.; Iserles, Arieh	4	2015
Asymptotic solvers for ordinary differential equations with multiple frequencies. Zbl 1331.65095 Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh	4	2015
The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061 Fokas, A. S.; Iserles, A.; Smitheman, S. A.	3	2015
Acta Numerica 2015. Reprint of the journal Acta Numerica 24 (2015). Zbl 1315.65002	1	2015
Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230 Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav	26	2014
On skew-symmetric differentiation matrices. Zbl 1288.65121 Iserles, Arieh	7	2014
Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083 Condon, M.; Iserles, A.; Nørsett, S. P.	4	2014
Asymptotic solvers for second-order differential equation systems with multiple frequencies. Zbl 1311.65090 Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh	2	2014
Dirichlet series for dynamical systems of first-order ordinary differential equations. Zbl 1291.37103 Wang, Bin; Iserles, Arieh	1	2014
Highly oscillatory diffusion-type equations. Zbl 1299.35011 Altınbaşak, Sevda Üsküplü; Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	3	2013
Three stories of high oscillation. Zbl 1360.65189 Iserles, Arieh	2	2013
On expansions in orthogonal polynomials. Zbl 1277.42029 Cantero, María José; Iserles, Arieh	1	2013
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045 Blanes, Sergio; Iserles, Arieh	12	2012
Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina	7	2012
From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232 Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P.	6	2012
The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh	5	2012
First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024 Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh	4	2012
On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023 Cantero, María José; Iserles, Arieh	3	2012
A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001 Iserles, Arieh	15	2011
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123 Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	15	2011
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154 Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.	13	2011
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh	9	2011
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045 Iserles, Arieh; Levin, David	7	2011
From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129 Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.	6	2011
Asymptotic solvers for oscillatory systems of differential equations. Zbl 1242.65132 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	5	2011
Magnus expansions and beyond. Zbl 1291.65253 Iserles, Arieh	2	2011
Acta Numerica 1992. Reprint of the 1992 hardback ed. Zbl 1207.00045	1	2011
Acta Numerica 2002. Reprint of the Journal Acta Numerica 11 (2002). Zbl 1231.65008	1	2011
Acta Numerica 2003. Reprint of the Journal Acta Numerica 12 (2003). Zbl 1231.65009	1	2011
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002 Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	28	2010
On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	19	2010
On systems of differential equations with extrinsic oscillation. Zbl 1207.65093 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	13	2010
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022 Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.	11	2010
A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060 Iserles, Arieh	188	2009
Highly oscillatory problems. Zbl 1170.37002	30	2009
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149 Iserles, Arieh; Nørsett, Syvert P.	18	2009
On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh	18	2009
On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018 Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao	12	2009
A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030 Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S.	6	2009
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348 Iserles, Arieh; Nørsett, Syvert P.	37	2008
B-series methods cannot be volume-preserving. Zbl 1128.65054 Iserles, A.; Quispel, G. R. W.; Tse, P. S. P.	26	2007
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019 Iserles, Arieh; Nørsett, Syvert P.	35	2006
Highly oscillatory quadrature: the story so far. Zbl 1119.65317 Iserles, A.; Nørsett, S. P.; Olver, S.	27	2006
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060 Casas, Fernando; Iserles, Arieh	23	2006
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020 Iserles, A.; Nørsett, S. P.	15	2006
Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301	14	2006
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033 Bloch, Anthony M.; Iserles, Arieh	6	2006
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309 Iserles, Arieh; Nørsett, Syvert P.	199	2005
On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148 Iserles, Arieh	38	2005
Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040 Iserles, Arieh; Zanna, Antonella	18	2005
On the numerical analysis of rapid oscillation. Zbl 1080.65058 Iserles, A.	5	2005
Commutators of skew-symmetric matrices. Zbl 1100.17004 Bloch, Anthony M.; Iserles, Arieh	5	2005
Aspects of generalized double-bracket flows. Zbl 1085.34037 Bloch, A. M.; Iserles, A.	1	2005
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025 Iserles, A.; Nørsett, S. P.	121	2004
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149 Iserles, Arieh	64	2004
On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099 Iserles, A.	16	2004
On the foundations of computational mathematics. Zbl 1060.65005 Baxter, B. J. C.; Iserles, A.	3	2003
On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107 Iserles, Arieh	36	2002
Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050 Iserles, Arieh	24	2002
Expansions that grow on trees. Zbl 1126.34310 Iserles, Arieh	15	2002
On the discretization of double-bracket flows. Zbl 1019.65049 Iserles, Arieh	3	2002
Complexity theory for Lie-group solvers. Zbl 0996.65070 Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan	1	2002
Brief introduction to Lie-group methods. Zbl 1494.65062 Iserles, A.	1	2002
Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040 Celledoni, Elena; Iserles, Arieh	23	2001
On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060 Iserles, A.	18	2001
Time symmetry and high-order Magnus methods. Zbl 0996.65071 Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.	11	2001
Semi-explicit methods for isospectral flows. Zbl 0976.65110 Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella	4	2001
A Magnus expansion for the equation \(Y^{\prime} = AY - YB\). Zbl 0979.34004 Iserles, Arieh	3	2001
Multistep methods on manifolds. Zbl 0974.65077 Iserles, Arieh	3	2001
Acta Numerica 2001. Reprint of the Journal Acta Numerica 10 (2001). Zbl 1231.65007	2	2001
Foundations of computational mathematics. Conference, Oxford, GB, July 18–28, 1999. Zbl 0962.00005	2	2001
Numerical analysis in Lie groups. Zbl 0978.65057 Iserles, Arieh	1	2001
Lie-group methods. Zbl 1064.65147 Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella	240	2000
...and 107 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 2,528 Authors

83	Iserles, Arieh
49	Marcellán Español, Francisco
40	Wang, Bin
37	Wu, Xinyuan
37	Xiang, Shuhuang
29	Blanes, Sergio
21	Munthe-Kaas, Hans Z.
21	Nørsett, Syvert Paul
20	Celledoni, Elena
20	Owren, Brynjulf
19	Casas, Fernando
16	Huybrechs, Daan
16	Liu, Changying
16	Liu, Mingzhu
16	Sheng, Qin
14	Chen, Ruyun
14	Gao, Jing
14	Kang, Hongchao
14	Leok, Melvin
14	Sezer, Mehmet
13	Brunner, Hermann
13	Moreno-Balcázar, Juan José
13	van Brunt, Bruce
13	Wang, Wansheng
13	Zanna, Antonella
12	Sharapudinov, Idris Idrisovich
12	Siraj-ul-Islam
12	Wang, Haiyong
11	Ebrahimi-Fard, Kurusch
11	Fang, Yonglei
11	Ma, Junjie
11	McLachlan, Robert I.
11	Quispel, Gilles Reinout Willem
11	Xu, Yang
10	Bader, Philipp
10	Liu, Yunkang
10	Piñar, Miguel A.
10	Yang, Zhanwen
9	Čermák, Jan
9	Condon, Marissa
9	Deaño, Alfredo
9	Huang, Chengming
9	Kropielnicka, Karolina
9	Pérez, Teresa E.
9	Sri Ranga, Alagacone
9	Zaman, Sakhi
8	Abgrall, Rémi
8	Adcock, Ben
8	Böttcher, Albrecht
8	Colbrook, Matthew J.
8	Jiang, Yaolin
8	Lopez, Luciano
8	Majidian, Hassan
8	Manchon, Dominique
8	Meijer, Henk G.
8	Olver, Sheehan Shakiban
8	Ostapenko, Vladimir Viktorovich
8	Perdikaris, Paris G.
8	Ponsoda, Enrique
8	Webb, Marcus
8	Wu, Qinghua
8	Zhao, Jingjun
7	Cai, Haotao
7	Cieśliński, Jan L.
7	Grudsky, Sergei Mikhailovich
7	Liu, Chein-Shan
7	Liu, Kai
7	Politi, Tiziano
7	Qian, Xu
7	Schratz, Katharina
7	Shi, Wei
7	Song, Songhe
7	Wake, Graeme Charles
7	Xu, Zhenhua
7	You, Xiong
7	Zhao, Longbin
6	Băleanu, Dumitru I.
6	Butcher, John C.
6	Fejzullahu, Bujar Xh.
6	Gay-Balmaz, François
6	Hayotov, Abdullo Rakhmonovich
6	Ledoux, Veerle
6	Li, JianBing
6	Li, Jiyong
6	Li, Ting
6	Martín de Diego, David
6	Müller, Andreas
6	Pinzón-Cortés, Natalia Camila
6	Rodríguez García, José Manuel
6	Rossovskiĭ, Leonid Efimovich
6	Singh, Pranav
6	Wang, Tao
6	Wang, Xuesong
6	Xiao, Aiguo
6	Zaheeruddin, M.
5	Abdi, Ali
5	Area, Iván
5	Arnold, Martin
5	Asheim, Andreas
5	Cai, Yongyong
...and 2,428 more Authors

all top 5

Cited in 363 Serials

209	Journal of Computational and Applied Mathematics
112	Applied Mathematics and Computation
94	Applied Numerical Mathematics
66	Journal of Computational Physics
63	BIT
53	Numerical Algorithms
42	Journal of Mathematical Analysis and Applications
41	Computers & Mathematics with Applications
39	Mathematics of Computation
37	Numerische Mathematik
34	Foundations of Computational Mathematics
33	Journal of Scientific Computing
30	International Journal of Computer Mathematics
27	Journal of Approximation Theory
25	SIAM Journal on Scientific Computing
24	SIAM Journal on Numerical Analysis
22	Advances in Computational Mathematics
20	Computer Methods in Applied Mechanics and Engineering
19	Applied Mathematics Letters
19	Linear Algebra and its Applications
18	Mathematical Methods in the Applied Sciences
16	Discrete and Continuous Dynamical Systems
16	Journal of Computational Dynamics
15	Calcolo
15	Communications in Nonlinear Science and Numerical Simulation
14	Computational and Applied Mathematics
13	Journal of Mathematical Physics
12	Computer Physics Communications
12	Physica D
12	Journal of Difference Equations and Applications
11	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10	Numerical Methods for Partial Differential Equations
10	Engineering Analysis with Boundary Elements
10	Advances in Difference Equations
9	Journal of Differential Equations
9	Mathematics and Computers in Simulation
9	Constructive Approximation
9	Abstract and Applied Analysis
8	Computers and Fluids
8	Systems & Control Letters
8	Acta Applicandae Mathematicae
8	Applied Mathematical Modelling
8	Integral Transforms and Special Functions
8	Nonlinear Dynamics
7	Chaos, Solitons and Fractals
7	Studies in Applied Mathematics
7	Journal of Complexity
7	Celestial Mechanics and Dynamical Astronomy
7	Communications in Numerical Methods in Engineering
7	ETNA. Electronic Transactions on Numerical Analysis
7	Journal of Mathematical Chemistry
7	Mathematical Problems in Engineering
7	Multibody System Dynamics
6	Journal of the Franklin Institute
6	Automatica
6	Proceedings of the American Mathematical Society
6	Mathematical and Computer Modelling
6	SIAM Journal on Matrix Analysis and Applications
6	Journal of Nonlinear Science
6	The ANZIAM Journal
6	Frontiers of Mathematics in China
6	Journal of Physics A: Mathematical and Theoretical
5	Journal of Fluid Mechanics
5	Ukrainian Mathematical Journal
5	International Journal for Numerical Methods in Engineering
5	Transactions of the American Mathematical Society
5	Journal of Integral Equations and Applications
5	Journal of Mathematical Sciences (New York)
5	Numerical Linear Algebra with Applications
5	Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5	Discrete and Continuous Dynamical Systems. Series B
5	Acta Numerica
5	Dolomites Research Notes on Approximation
4	Communications in Mathematical Physics
4	Inverse Problems
4	Physics Letters. A
4	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4	Applied Mathematics and Mechanics. (English Edition)
4	European Journal of Applied Mathematics
4	Computational Mathematics and Mathematical Physics
4	Indagationes Mathematicae. New Series
4	Russian Mathematics
4	Doklady Mathematics
4	Journal of Inequalities and Applications
4	Journal of Applied Mathematics
4	Mediterranean Journal of Mathematics
4	Afrika Matematika
4	Statistics and Computing
4	Communications on Applied Mathematics and Computation
3	Communications on Pure and Applied Mathematics
3	Journal of Engineering Mathematics
3	Journal of Mathematical Biology
3	Nonlinearity
3	Rocky Mountain Journal of Mathematics
3	Advances in Mathematics
3	Numerical Functional Analysis and Optimization
3	Siberian Mathematical Journal
3	Bulletin of the Iranian Mathematical Society
3	Computational Mechanics
3	The Annals of Applied Probability
...and 263 more Serials

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Cited in 59 Fields

1,279	Numerical analysis (65-XX)
481	Ordinary differential equations (34-XX)
292	Partial differential equations (35-XX)
210	Harmonic analysis on Euclidean spaces (42-XX)
179	Special functions (33-XX)
179	Dynamical systems and ergodic theory (37-XX)
174	Approximations and expansions (41-XX)
104	Integral equations (45-XX)
97	Fluid mechanics (76-XX)
96	Mechanics of particles and systems (70-XX)
87	Probability theory and stochastic processes (60-XX)
72	Linear and multilinear algebra; matrix theory (15-XX)
67	Quantum theory (81-XX)
57	Operator theory (47-XX)
57	Systems theory; control (93-XX)
52	Computer science (68-XX)
43	Difference and functional equations (39-XX)
42	Differential geometry (53-XX)
41	Mechanics of deformable solids (74-XX)
41	Biology and other natural sciences (92-XX)
40	Real functions (26-XX)
34	Optics, electromagnetic theory (78-XX)
31	Functional analysis (46-XX)
31	Calculus of variations and optimal control; optimization (49-XX)
29	Topological groups, Lie groups (22-XX)
28	Statistics (62-XX)
27	Nonassociative rings and algebras (17-XX)
26	Combinatorics (05-XX)
26	Functions of a complex variable (30-XX)
24	Statistical mechanics, structure of matter (82-XX)
22	Integral transforms, operational calculus (44-XX)
22	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15	Global analysis, analysis on manifolds (58-XX)
15	Operations research, mathematical programming (90-XX)
15	Information and communication theory, circuits (94-XX)
14	Number theory (11-XX)
13	Associative rings and algebras (16-XX)
13	Classical thermodynamics, heat transfer (80-XX)
10	History and biography (01-XX)
7	General and overarching topics; collections (00-XX)
4	Algebraic geometry (14-XX)
4	Relativity and gravitational theory (83-XX)
4	Geophysics (86-XX)
3	Group theory and generalizations (20-XX)
3	Geometry (51-XX)
3	Algebraic topology (55-XX)
3	Astronomy and astrophysics (85-XX)
2	Field theory and polynomials (12-XX)
2	Commutative algebra (13-XX)
2	Category theory; homological algebra (18-XX)
2	Measure and integration (28-XX)
2	Several complex variables and analytic spaces (32-XX)
2	General topology (54-XX)
2	Manifolds and cell complexes (57-XX)
1	General algebraic systems (08-XX)
1	Potential theory (31-XX)
1	Sequences, series, summability (40-XX)
1	Abstract harmonic analysis (43-XX)
1	Mathematics education (97-XX)

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