Arieh Iserles

CoRR, 2024

Mathematical foundations of spectral methods for time-dependent PDEs.

[BibT_eX]

[DOI]

CoRR, 2024

An elementary approach to splittings of unbounded operators.

[BibT_eX]

[DOI]

CoRR, 2024

2023

A framework for stable spectral methods in d-dimensional unit balls.

[BibT_eX]

[DOI]

Jing Gao

CoRR, 2023

Orthogonal systems for time-dependent spectral methods.

[BibT_eX]

[DOI]

CoRR, 2023

2022

On an extended Filon method for highly oscillatory integrals over a simplex.

[BibT_eX]

[DOI]

Jing Gao

Math. Comput., November, 2022

Sobolev-Orthogonal Systems with Tridiagonal Skew-Hermitian Differentiation Matrices.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Positivity-preserving methods for population models.

[BibT_eX]

[DOI]

Sergio Blanes

Shev MacNamara

CoRR, 2021

Solving the linear semiclassical Schrödinger equation on the real line.

[BibT_eX]

[DOI]

Katharina Schratz

CoRR, 2021

Approximation of wave packets on the real line.

[BibT_eX]

[DOI]

Karen Luong

CoRR, 2021

2020

A Differential Analogue of Favard's Theorem.

[BibT_eX]

[DOI]

CoRR, 2020

An extended Filon-Clenshaw-Curtis method for high-frequency wave scattering problems in two dimensions.

[BibT_eX]

[DOI]

Georg Maierhofer

Nigel Peake

CoRR, 2020

2019

Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials.

[BibT_eX]

[DOI]

J. Comput. Phys., 2019

Spectral computation of highly oscillatory integral equations in laser theory.

[BibT_eX]

[DOI]

Jing Gao

Marissa Condon

J. Comput. Phys., 2019

Orthogonal Systems with a Skew-Symmetric Differentiation Matrix.

[BibT_eX]

[DOI]

Found. Comput. Math., 2019

Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion.

[BibT_eX]

[DOI]

Comput. Phys. Commun., 2019

A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix.

[BibT_eX]

[DOI]

CoRR, 2019

Fast Computation of Orthogonal Systems with a Skew-symmetric Differentiation Matrix.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations.

[BibT_eX]

[DOI]

Changying Liu

Xinyuan Wu

J. Comput. Phys., 2018

Computing highly oscillatory integrals.

[BibT_eX]

[DOI]

Alfredo Deaño

Daan Huybrechs

SIAM, ISBN: 978-1-611-97511-6, 2018

2016

Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems.

[BibT_eX]

[DOI]

Bin Wang

Xinyuan Wu

Found. Comput. Math., 2016

The Joy and Pain of Skew Symmetry.

[BibT_eX]

[DOI]

Found. Comput. Math., 2016

Numerical Stability in the Presence of Variable Coefficients.

[BibT_eX]

[DOI]

Ernst Hairer

Found. Comput. Math., 2016

2015

Numerical solution of Sturm-Liouville problems via Fer streamers.

[BibT_eX]

[DOI]

Alberto Gil C. P. Ramos

Numerische Mathematik, 2015

2014

Effective Approximation for the Semiclassical Schrödinger Equation.

[BibT_eX]

[DOI]

Philipp Bader

Found. Comput. Math., 2014

2013

On expansions in orthogonal polynomials.

[BibT_eX]

[DOI]

María José Cantero

Adv. Comput. Math., 2013

2012

On Rapid Computation of Expansions in Ultraspherical Polynomials.

[BibT_eX]

[DOI]

María José Cantero

SIAM J. Numer. Anal., 2012

2011

A fast and simple algorithm for the computation of Legendre coefficients.

[BibT_eX]

[DOI]

Numerische Mathematik, 2011

Asymptotic expansion and quadrature of composite highly oscillatory integrals.

[BibT_eX]

[DOI]

David Levin

Math. Comput., 2011

2006

Quadrature methods for multivariate highly oscillatory integrals using derivatives.

[BibT_eX]

[DOI]

Syvert P. Nørsett

Math. Comput., 2006

On an Isospectral Lie-Poisson System and Its Lie Algebra.

[BibT_eX]

[DOI]

Found. Comput. Math., 2006

2005

Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

Commutators of Skew-Symmetric Matrices.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2005

2004

On the Spectra of Certain Matrices Generated by Involutory Automorphisms.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

On the optimality of double-bracket flows.

[BibT_eX]

[DOI]

Int. J. Math. Math. Sci., 2004

2003

Editorial.

[BibT_eX]

[DOI]

Ronald A. DeVore

Michael J. Todd

Found. Comput. Math., 2003

Optimality of double bracket and generalized double bracket flows.

[BibT_eX]

[DOI]

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

Complexity Theory for Lie-Group Solvers.

[BibT_eX]

[DOI]

J. Complex., 2002

On the Discretization of Double-Bracket Flows.

[BibT_eX]

[DOI]

Found. Comput. Math., 2002

2001

On Cayley-Transform Methods for the Discretization of Lie-Group Equations.

[BibT_eX]

[DOI]

Found. Comput. Math., 2001

Semi-explicit methods for isospectral flows.

[BibT_eX]

[DOI]

Mari Paz Calvo

Adv. Comput. Math., 2001

2000

Approximating the exponential from a Lie algebra to a Lie group.

[BibT_eX]

[DOI]

Elena Celledoni

Math. Comput., 2000

On the Dimension of Certain Graded Lie Algebras Arising in Geometric Integration of Differential Equations.

[BibT_eX]

[DOI]

LMS J. Comput. Math., 2000

1997

Numerical solution of isospectral flows.

[BibT_eX]

[DOI]

Mari Paz Calvo

Math. Comput., 1997

Approximation theory and optimization - tributes to M. J. D. Powell.

[BibT_eX]

Martin D. Buhmann

Cambridge University Press, ISBN: 978-0-521-58190-5, 1997

1996

Biorthogonal polynomials: Recent developments.

[BibT_eX]

[DOI]

Numer. Algorithms, 1996

1995

Explicit representations of biorthogonal polynomials.

[BibT_eX]

[DOI]

Syvert P. Nørsett

Numer. Algorithms, 1995

1993

Global Bounds on Numerical Error for Ordinary Differential Equations.

[BibT_eX]

[DOI]