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1

Lie group methods for rigid body dynamics and time integration on manifolds

Elena Celledoni, Brynjulf Owren

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2003

Language:

english

File:

PDF, 496 KB

english, 2003

2

A uniqueness result related to the stability of explicit Runge-Kutta methods

Brynjulf Owren, Kristian Seip

Journal:

BIT Numerical Mathematics

Year:

1991

Language:

english

File:

PDF, 77 KB

english, 1991

3

The Magnus expansion and post-Lie algebras

Curry, Charles, Ebrahimi-Fard, Kurusch, Owren, Brynjulf

Journal:

Mathematics of Computation

Year:

2020

File:

PDF, 244 KB

2020

4

Some stability results for explicit Runge-Kutta methods

Brynjulf Owren, Kristian Seip

Journal:

BIT Numerical Mathematics

Year:

1990

Language:

english

File:

PDF, 361 KB

english, 1990

5

Topics in structure-preserving discretization

Christiansen, Snorre H., Munthe-Kaas, Hans Z., Owren, Brynjulf

Journal:

Year:

2011

Language:

english

File:

PDF, 1.21 MB

english, 2011

6

Energy-preserving Runge-Kutta methods

Celledoni, Elena, McLachlan, Robert I., McLaren, David I., Owren, Brynjulf, Reinout W. Quispel, G., Wright, William M.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 147 KB

english, 2009

7

Energy-preserving methods on Riemannian manifolds

Celledoni, Elena, Eidnes, Sølve, Owren, Brynjulf, Ringholm, Torbjørn

Journal:

Mathematics of Computation

Year:

2019

Language:

english

File:

PDF, 1.11 MB

english, 2019

8

An introduction to Lie group integrators – basics, new developments and applications

Celledoni, Elena, Marthinsen, Håkon, Owren, Brynjulf

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 2.05 MB

english, 2014

9

Order Barriers and Characterizations for Continuous Mono-Implicit Runge- Kutta Schemes

Paul Muir and Brynjulf Owren

Journal:

Mathematics of Computation

Year:

1993

Language:

english

File:

PDF, 509 KB

english, 1993

10

Multi-symplectic integration of the Camassa–Holm equation

David Cohen, Brynjulf Owren, Xavier Raynaud

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 514 KB

english, 2008

11

Geometric properties of Kahan's method

Celledoni, Elena, McLachlan, Robert I, Owren, Brynjulf, Quispel, G R W

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 2.00 MB

english, 2013

12

Modeling of water‐gun signatures

Landrø, Martin, Zaalberg‐Metselaar, Gitta, Owren, Brynjulf, Vaage, Svein

Journal:

The Leading Edge

Year:

1993

Language:

english

File:

PDF, 210 KB

english, 1993

13

Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

Celledoni, Elena, Evripidou, Charalampos Andreas, McLaren, D I, Owren, Brynjulf, Quispel, G Reinout W, Tapley, Benjamin, van der Kamp, Peter H

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2019

Language:

english

File:

PDF, 516 KB

english, 2019

14

Geometric Integration: Numerical Solution of Differential Equations on Manifolds || Computations in a Free Lie Algebra

Hans Munthe-Kaas and Brynjulf Owren

Journal:

Philosophical Transactions Mathematical Physical & Engineering Sciences

Year:

1999

Language:

english

File:

PDF, 1.97 MB

english, 1999

15

B-Series and Order Conditions for Exponential Integrators

Håvard Berland , Brynjulf Owren and Bård Skaflestad

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 347 KB

english, 2006

16

Preserving multiple first integrals by discrete gradients

Dahlby, Morten, Owren, Brynjulf, Yaguchi, Takaharu

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 872 KB

english, 2011

17

Order barriers and characterizations for continuous mono-implicit Runge-Kutta schemes

Muir, Paul, Owren, Brynjulf

Journal:

Mathematics of Computation

Year:

1993

Language:

english

File:

PDF, 2.33 MB

english, 1993

18

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

Elena Celledoni, David Cohen, Brynjulf Owren

Journal:

Foundations of Computational Mathematics

Year:

2008

Language:

english

File:

PDF, 826 KB

english, 2008

19

A Class of Intrinsic Schemes for Orthogonal Integration

Elena Celledoni and Brynjulf Owren

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 454 KB

english, 2003

20

Commutator-free Lie group methods

Elena Celledoni, Arne Marthinsen, Brynjulf Owren

Journal:

Future Generation Computer Systems

Year:

2003

Language:

english

File:

PDF, 194 KB

english, 2003

21

The behaviour of the local error in splitting methods applied to stiff problems

Roman Kozlov, Anne Kværnø, Brynjulf Owren

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 312 KB

english, 2004

22

Integrability properties of Kahanʼs method

Celledoni, Elena, I McLachlan, Robert, I McLaren, David, Owren, Brynjulf, R W Quispel, G

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2014

Language:

english

File:

PDF, 730 KB

english, 2014

23

Adaptive energy preserving methods for partial differential equations

Eidnes, Sølve, Owren, Brynjulf, Ringholm, Torbjørn

Journal:

Advances in Computational Mathematics

Year:

2017

Language:

english

File:

PDF, 1.29 MB

english, 2017

24

A Class of Intrinsic Schemes for Orthogonal Integration

Celledoni, Elena, Owren, Brynjulf

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 400 KB

english, 2002

25

Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows

Celledoni, Elena, Eidnes, Sølve, Owren, Brynjulf, Ringholm, Torbjørn

Journal:

SIAM Journal on Scientific Computing

Year:

2018

Language:

english

File:

PDF, 2.79 MB

english, 2018

26

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Structure of B-series for Some Classes of Geometric Integrators

Celledoni, Elena, McLachlan, Robert I., Owren, Brynjulf, Quispel, G. R. W., Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 270 KB

english, 2009

27

The minimal stage, energy preserving Runge–Kutta method for polynomial Hamiltonian systems is the averaged vector field method

Celledoni, Elena, Owren, Brynjulf, Sun, Yajuan

Journal:

Mathematics of Computation

Year:

2014

Language:

english

File:

PDF, 215 KB

english, 2014

28

A novel approach to rigid spheroid models in viscous flows using operator splitting methods

Tapley, Benjamin, Celledoni, Elena, Owren, Brynjulf, Andersson, Helge I.

Journal:

Numerical Algorithms

Year:

2019

Language:

english

File:

PDF, 857 KB

english, 2019

29

B-series and Order Conditions for Exponential Integrators

Berland, Havard, Owren, Brynjulf, Skaflestad, Bard

Journal:

SIAM Journal on Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 226 KB

english, 2005

30

Energy-Preserving Integrators and the Structure of

Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel

Journal:

Foundations of Computational Mathematics

Year:

2010

Language:

english

File:

PDF, 588 KB

english, 2010

31

Mathematics and Computation, a Contemporary View Volume 3 || The Dynamics of Transition to Turbulence in Plane Couette Flow

Munthe-Kaas, Hans, Owren, Brynjulf

Year:

2008

Language:

english

File:

PDF, 317 KB

english, 2008

32

Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods

Ekeland, Kersti, Owren, Brynjulf, Øines, Eivor

Journal:

ACM Transactions on Mathematical Software

Year:

1998

Language:

english

File:

PDF, 449 KB

english, 1998

33

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

Dahlby, Morten, Owren, Brynjulf

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 355 KB

english, 2011

34

Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods

Owren, Brynjulf, Zennaro, Marino

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1992

Language:

english

File:

PDF, 1.47 MB

english, 1992

35

Order Barriers for Continuous Explicit Runge-Kutta Methods

Brynjulf Owren and Marino Zennaro

Journal:

Mathematics of Computation

Year:

1991

Language:

english

File:

PDF, 395 KB

english, 1991

36

Mathematics and Computation, a Contemporary View Volume 3 ||

Munthe-Kaas, Hans, Owren, Brynjulf

Year:

2008

Language:

english

File:

PDF, 4.38 MB

english, 2008

37

Quadrature methods based on the Cayley transform

Arne Marthinsen, Brynjulf Owren

Journal:

Applied Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 137 KB

english, 2001

38

Integration methods based on canonical coordinates of the second kind

Brynjulf Owren, Arne Marthinsen

Journal:

Numerische Mathematik

Year:

2001

Language:

english

File:

PDF, 229 KB

english, 2001

39

Nonnormality Effects in a Discretised Nonlinear Reaction-Convection–Diffusion Equation

Desmond J. Higham, Brynjulf Owren

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 421 KB

english, 1996

40

Geometric integration of non-autonomous linear Hamiltonian problems

Marthinsen, Håkon, Owren, Brynjulf

Journal:

Advances in Computational Mathematics

Year:

2016

Language:

english

File:

PDF, 1.28 MB

english, 2016

41

Discretization of polynomial vector fields by polarization

Celledoni, Elena, McLachlan, Robert I., McLaren, David I., Owren, Brynjulf, Quispel, G. R. W.

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2015

Language:

english

File:

PDF, 263 KB

english, 2015

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