Archipelago: A network security analysis tool (2003)
Tuva Stang, Fahimeh Pourbayat, Mark Burgess, Geoffrey Canright, Kenth Engø
Permission is granted for noncommercial reproduction of the work for educational or research purposes.
Archipelago: A network security analysis tool (2003)
Tuva Stang, Fahimeh Pourbayat, Mark Burgess, Geoffrey Canright, Kenth Engø, Asmund Weltzien
Archipelago is system analysis and visualization tool which implements several methods of resource and security analysis for human-computer networks; this includes physical networks, social networks,...
The Bergen Ocean Model Benchmark 1.0 (2000)
The Bergen ocean model benchmark (BOMB) is Open MP benchmark based Bergen ocean model (BOM) pioneered and developed Berntsen, Skogen Espelid this note briefly report the work undertaken implement...
Time-Symmetry of the Crouch-Grossman Method (2000)
Kenth Engø, Kenth Eng, Arne Marthinsen, Arne Marthinsen
We study time-symmetry of the Crouch--Grossman method. We introduce and motivate the definition for the adjoint of an s-stage Crouch--Grossman method. Further, we show that the adjoint method can be...
The Bergen Ocean Model Benchmark 1.0 (2000)
The Bergen ocean model benchmark (BOMB) 1.0 is an Open MP benchmark based on the Bergen ocean model (BOM) pioneered and developed by Berntsen, Skogen and Espelid [2, 1]. In this note we briefly...
On the BCH-formula in so(3) (2000)
We find a closed-form expression for the Baker--Campbell--Hausdorff formula in the Lie algebra so(3), and interpret the formula geometrically in terms of rotation vectors in R 3 . Mathematics Subject...
Partitioned Runge-Kutta methods in Lie-group setting (2000)
We introduce partitioned Runge--Kutta (PRK) methods as geometric integrators in the Runge-- Kutta--Munthe-Kaas (RKMK) method hierarchy. This is done by first noticing that tangent and cotangent...
Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy (1999)
Kenth Engø, Stig Faltinsen, Stig Faltinsen
In this paper we apply geometric integrators of the RKMK type to the problem of integrating Lie--Poisson systems numerically. By using the coadjoint action of the Lie group G on the dual Lie algebra...
DiffMan - an object oriented MATLAB toolbox for solving differential equations on manifolds (1999)
Di Man, Kenth Engø, Arne Marthinsen
We describe an object oriented MATLAB toolbox for solving differential equations on manifolds. The software reflects recent development within the area of geometric integration. Through the use of...
Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy (1999)
Kenth Engø, Kenth Engø, Stig Faltinsen, Stig Faltinsen, England Cb Ew
In this paper we apply geometric integrators of the RKMK type to the problem of integrating Lie-- Poisson systems numerically. By using the coadjoint action of the Lie group G on the dual Lie algebra...
Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy (1999)
Kenth Engø, Kenth Eng, Stig Faltinsen, Stig Faltinsen, England Cb Ew, England Cb Ew
In this paper we apply geometric integrators of the RKMK type to the problem of integrating Lie{Poisson systems numerically. By using the coadjoint action of the Lie group G on the dual Lie algebra g...
DiffMan User's Guide - Version 1.6 (1999)
K. Engø, Kenth Engø, A. Marthinsen
Contents 1 Introduction 1 2 The DiffMan environment 3 2.1 Object orientation and mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Object orientation in MATLAB and DiffMan ....
On the construction of geometric integrators in the RKMK class (1998)
We consider the construction of geometric integrators in the class of RKMK methods. Any di#erential equation in the form of an in#nitesimal generator on a homogeneous space is shown to be locally...
Modeling and Solution of some Mechanical Problems on Lie Groups (1998)
Kenth Engø, Arne Marthinsen, K. Eng
We apply Munthe-Kaas and Crouch-Grossman methods in the solution of some mechanical problems. These methods are quite new, and they exploit intrinsic properties of the manifolds de#ned by the...
Application of Geometric Integration to some Mechanical Problems (1997)
We apply Munthe-Kaas and Crouch-Grossman methods in the solution of some mechanical problems. These methods are quite new, and they exploit intrinsic properties of the manifolds definedby the...