Bjørn Fredrik Nielsen

发表

Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems

Bjørn Fredrik Nielsen, Kent-André Mardal, 2013, SIAM J. Sci. Comput..

Computing Ischemic Regions in the Heart With the Bidomain Model—First Steps Towards Validation

Bjørn Fredrik Nielsen, Per Grøttum, Ola Marius Lysaker, 2013, IEEE Transactions on Medical Imaging.

Can ECG Recordings and Mathematics tell the Condition of Your Heart?

Aslak Tveito, Bjørn Fredrik Nielsen, Kent-André Mardal, 2010, Simula Research Laboratory.

Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator

Zdenek Strakos, Bjørn Fredrik Nielsen, Kent-André Mardal, 2018, SIAM J. Numer. Anal..

On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem

Aslak Tveito, Bjørn Fredrik Nielsen, Ola Marius Lysaker, 2007, J. Comput. Phys..

On the Computational Complexity of the Bidomain and the Monodomain Models of Electrophysiology

Xing Cai, Aslak Tveito, Joakim Sundnes, 2006, Annals of Biomedical Engineering.

Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems

Bjørn Fredrik Nielsen, Kent-André Mardal, K. Mardal, 2010, SIAM J. Control. Optim..

Preconditioners for PDE-constrained optimization problems with box constraints: Towards high resolution inverse ECG images

Bjørn Fredrik Nielsen, Ole Løseth Elvetun, 2017 .

Ill-Posed Point Neuron Models

Bjørn Fredrik Nielsen, John Wyller, 2016, Journal of mathematical neuroscience.

Stochastic Structural Modeling in Havana

Bjørn Fredrik Nielsen, Lars Holden, A. Vazquez, 2001 .

An order optimal solver for the discretized bidomain equations

Xing Cai, Aslak Tveito, Bjørn Fredrik Nielsen, 2007, Numer. Linear Algebra Appl..

On the Stability of Pressure and Velocity Computations for Heterogeneous Reservoirs

Are Magnus Bruaset, Bjørn Fredrik Nielsen, 1996, SIAM J. Appl. Math..

Numerical Methods for Financial Derivatives

Aslak Tveito, Bjørn Fredrik Nielsen, Ola Skavhaug, 2003 .

Optimal monodomain approximations of the bidomain equations

Aslak Tveito, Bjørn Fredrik Nielsen, Glenn Terje Lines, 2007, Appl. Math. Comput..

Generalized Spectrum of Second Order Differential Operators

Zdenek Strakos, Bjørn Fredrik Nielsen, Tomás Gergelits, 2020, SIAM J. Numer. Anal..

On the Approximation of the Solution of the Pressure Equation by Changing the Domain

Aslak Tveito, Bjørn Fredrik Nielsen, A. Tveito, 1997, SIAM J. Appl. Math..

A Computationally Efficient Method for Determining the Size and Location of Myocardial Ischemia

Joakim Sundnes, Bjørn Fredrik Nielsen, Ola Marius Lysaker, 2009, IEEE Transactions on Biomedical Engineering.

Efficient preconditioning of optimality systems

Kent-Andre Mardal, Bjørn Fredrik Nielsen, 2011 .

Computing ischemic regions in the heart: On the use of internal electrodes

Bjørn Fredrik Nielsen, Ola Marius Lysaker, Samuel T. Wall, 2013, Computing in Cardiology 2013.

Computing the size and location of myocardial ischemia using measurements of ST-segment shift

Aslak Tveito, Bjørn Fredrik Nielsen, Ola Marius Lysaker, 2006, IEEE Transactions on Biomedical Engineering.

Observability of ischemia and the need for patient specific geometrical models in inverse ECG

Bjørn Fredrik Nielsen, Ola Marius Lysaker, Glenn Terje Lines, 2013, Computing in Cardiology 2013.

PDE-Constrained Optimization with Local Control and Boundary Observations: Robust Preconditioners

Bjørn Fredrik Nielsen, Ole Løseth Elvetun, 2016, SIAM J. Sci. Comput..

A note on the efficiency of the conjugate gradient method for a class of time‐dependent problems

Xing Cai, Aslak Tveito, Bjørn Fredrik Nielsen, 2007, Numer. Linear Algebra Appl..

Bidomain simulations of subendocardial ischemia: The forward and inverse problems

Bjørn Fredrik Nielsen, Ola Marius Lysaker, Samuel T. Wall, 2014, Computing in Cardiology 2014.

The split Bregman algorithm applied to PDE-constrained optimization problems with total variation regularization

Bjørn Fredrik Nielsen, Ole Løseth Elvetun, B. F. Nielsen, 2016, Comput. Optim. Appl..

Numerical approximation of the spectrum of self-adjoint continuously invertible operators pdf

Zdenek Strakos, Bjørn Fredrik Nielsen, Tomás Gergelits, 2021, ArXiv.

A Finite Element Method for Fully Nonlinear Water Waves

Xing Cai, Aslak Tveito, Hans Petter Langtangen, 1998 .

Finite Element Discretizations of Elliptic Problems in the Presence of Arbitrarily Small Ellipticity: An Error Analysis

Bjørn Fredrik Nielsen, B. F. Nielsen, 1999 .

Preconditioning by inverting the Laplacian: an analysis of the eigenvalues

Aslak Tveito, Wolfgang Hackbusch, Bjørn Fredrik Nielsen, 2008 .

Penalty methods for the numerical solution of American multi-asset option problems

Aslak Tveito, Bjørn Fredrik Nielsen, Ola Skavhaug, 2008 .

Getting Started with Diffpack

Hans Petter Langtangen, Bjørn Fredrik Nielsen, 1996 .

Solving Linear Systems

Xing Cai, Aslak Tveito, Joakim Sundnes, 2006 .

A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia.

Aslak Tveito, Joakim Sundnes, Bjørn Fredrik Nielsen, 2007, Mathematical biosciences.

An upscaling method for one‐phase flow in heterogeneous reservoirs. A weighted output least squares (WOLS) approach

Aslak Tveito, Bjørn Fredrik Nielsen, A. Tveito, 1998 .