Brynjulf Owren

Orcid: 0000-0002-6662-9704

According to our database1, Brynjulf Owren authored at least 38 papers between 1992 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Dynamical Systems-Based Neural Networks.
SIAM J. Sci. Comput., June, 2023

Using aromas to search for preserved measures and integrals in Kahan's method.
Math. Comput., 2023

Learning Hamiltonians of constrained mechanical systems.
J. Comput. Appl. Math., 2023

Neural networks for the approximation of Euler's elastica.
CoRR, 2023

B-stability of numerical integrators on Riemannian manifolds.
CoRR, 2023

Designing Stable Neural Networks using Convex Analysis and ODEs.
CoRR, 2023

Predictions Based on Pixel Data: Insights from PDEs and Finite Differences.
CoRR, 2023

2022
Computational geometric methods for preferential clustering of particle suspensions.
J. Comput. Phys., 2022

Lie group integrators for mechanical systems.
Int. J. Comput. Math., 2022

2021
Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators.
CoRR, 2021

Equivariant neural networks for inverse problems.
CoRR, 2021

2020
The Magnus expansion and post-Lie algebras.
Math. Comput., 2020

Energy-preserving methods on Riemannian manifolds.
Math. Comput., 2020

An integral model based on slender body theory, with applications to curved rigid fibers.
CoRR, 2020

Structure preserving deep learning.
CoRR, 2020

2019
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.
Numer. Algorithms, 2019

Variable step size commutator free Lie group integrators.
Numer. Algorithms, 2019

Computational methods for tracking inertial particles in discrete incompressible flows.
CoRR, 2019

Deep learning as optimal control problems: models and numerical methods.
CoRR, 2019

2018
Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows.
SIAM J. Sci. Comput., 2018

Adaptive energy preserving methods for partial differential equations.
Adv. Comput. Math., 2018

2016
Geometric integration of non-autonomous linear Hamiltonian problems.
Adv. Comput. Math., 2016

2014
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method.
Math. Comput., 2014

An introduction to Lie group integrators - basics, new developments and applications.
J. Comput. Phys., 2014

2012
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method.
J. Comput. Phys., 2012

2011
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs.
SIAM J. Sci. Comput., 2011

Topics in structure-preserving discretization.
Acta Numer., 2011

2010
Energy-Preserving Integrators and the Structure of B-series.
Found. Comput. Math., 2010

2008
Multi-symplectic integration of the Camassa-Holm equation.
J. Comput. Phys., 2008

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation.
Found. Comput. Math., 2008

2005
B-series and Order Conditions for Exponential Integrators.
SIAM J. Numer. Anal., 2005

2003
On the Implementation of Lie Group Methods on the Stiefel Manifold.
Numer. Algorithms, 2003

Commutator-free Lie group methods.
Future Gener. Comput. Syst., 2003

2002
A Class of Intrinsic Schemes for Orthogonal Integration.
SIAM J. Numer. Anal., 2002

2001
Integration methods based on canonical coordinates of the second kind.
Numerische Mathematik, 2001

2000
Construction of Runge-Kutta methods of Crouch-Grossman type of high order.
Adv. Comput. Math., 2000

1998
Stiffness Detection and Estimation of Dominant Spectrum with Explicit Runge-Kutta Methods.
ACM Trans. Math. Softw., 1998

1992
Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods.
SIAM J. Sci. Comput., 1992


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