Helge Holden

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 10

Top Topics

Diffusion Equation

Conservation Laws

Vehicular Traffic

Nonlinear Dynamics

Top Venues

Numerische Mathematik

J. Optim. Theory Appl.

Networks Heterog. Media

Publications

Aekta Aggarwal, Helge Holden, Ganesh Vaidya
On the accuracy of the finite volume approximations to nonlocal conservation laws. Numerische Mathematik 156 (1) (2024)
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
Systems of nonlocal balance laws For Dense multilane vehicular traffic. CoRR (2023)
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
On the accuracy of the finite volume approximations to nonlocal conservation laws. CoRR (2023)
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
Well-posedness and error estimates for coupled systems of nonlocal conservation laws. CoRR (2023)
Rinaldo M. Colombo, Helge Holden, Francesca Marcellini
On the Microscopic Modeling of Vehicular Traffic on General Networks. SIAM J. Appl. Math. 80 (3) (2020)
Giuseppe Maria Coclite, Helge Holden, Nils Henrik Risebro
Singular Diffusion with Neumann boundary conditions. CoRR (2020)
Helge Holden, Nils Henrik Risebro
Models for Dense Multilane Vehicular Traffic. SIAM J. Math. Anal. 51 (5) (2019)
Helge Holden, Nils Henrik Risebro
Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks Heterog. Media 13 (3) (2018)
Rinaldo M. Colombo, Helge Holden
On the Braess Paradox with Nonlinear Dynamics and Control Theory. J. Optim. Theory Appl. 168 (1) (2016)
Rajib Dutta, Helge Holden, Ujjwal Koley, Nils Henrik Risebro
Convergence of finite difference schemes for the Benjamin-Ono equation. Numerische Mathematik 134 (2) (2016)
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
Operator splitting for two-dimensional incompressible fluid equations. Math. Comput. 82 (282) (2013)
Helge Holden, Christian Lubich, Nils Henrik Risebro
Operator splitting for partial differential equations with Burgers nonlinearity. Math. Comput. 82 (281) (2013)
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
Operator Splitting for Well-Posed Active Scalar Equations. SIAM J. Math. Anal. 45 (1) (2013)
Hermano Frid, Helge Holden, Kenneth H. Karlsen
Solutions for a Model of Nonisothermal Polytropic Gas Flow. SIAM J. Math. Anal. 43 (5) (2011)
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro, Terence Tao
Operator splitting for the KdV equation. Math. Comput. 80 (274) (2011)
Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro
Convergent difference schemes for the Hunter-Saxton equation. Math. Comput. 76 (258) (2007)
Helge Holden, Xavier Raynaud
Convergence of a Finite Difference Scheme for the Camassa-Holm Equation. SIAM J. Numer. Anal. 44 (4) (2006)
Giuseppe Maria Coclite, Helge Holden, Kenneth H. Karlsen
Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation. SIAM J. Math. Anal. 37 (4) (2005)
Helge Holden, Nils Henrik Risebro, Aslak Tveito
Maximum Principles for a Class of Conservation Laws. SIAM J. Appl. Math. 55 (3) (1995)