# Publikationer vid Beräkningsmatematik

The publication list is extracted from the DiVA - Academic Archive Online - publishing system. The extraction software is developed by Johan Wiklund.

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## Journal papers

2017

Åke Björck, Ulf G. Indahl,
"Fast and stable partial least squares modelling: A benchmark study with theoretical comments",
Journal of Chemometrics,
31(8),
2017.

Markus Wahlsten, Jan Nordström,
"The effect of uncertain geometries on advection–diffusion of scalar quantities",
BIT Numerical Mathematics,
226(1),
2017.

Ossian O'Reilly, Eric M Dunham, Jan Nordström,
"Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping",
SIAM Journal on Scientific Computing,
39(4):
B675-B702, 2017.

Hannes Frenander, Jan Nordström,
"A stable and accurate relaxation technique using multiple penalty terms in space and time",
Dynamics of atmospheres and oceans (Print),
79:
56-65, 2017.

Ossian O'Reilly, Tomas Lundquist, Eric M. Dunham, Jan Nordström,
"Energy stable and high-order-accurate finite difference methods on staggered grids",
Journal of Computational Physics,
346:
572-589, 2017.

Fredrik Berntsson, Lin Chen, Tao Xu, Dennis Wokiyi,
"An efficient regularization method for a large scale ill-posed geothermal problem",
Computers & Geosciences,
105:
1-9, 2017.

Fredrik Berntsson, Matts Karlsson, Vladimir Kozlov, Sergey A. Nazarov,
"A one-dimensional model of a false aneurysm",
International Journal of Research in Engineering and Science (IJRES),
5(6):
61-73, 2017.

AbstractKeywordsBiBTeX

Magnus Svärd, Jan Nordström,
"Response to “Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation”",
Journal of Scientific Computing,
218,
2017.

Bo Prochnow, Ossian O'Reilly, Eric M. Dunham, N. Anders Petersson,
"Treatment of the polar coordinate singularity in axisymmetric wave propagation using high-order summation-by-parts operators on a staggered grid",
Computers & Fluids,
149:
138-149, 2017.

Jan Nordström, Fatemeh Ghasemi,
"On the relation between conservation and dual consistency for summation-by-parts schemes",
Journal of Computational Physics,
344:
437-439, 2017.

Jan Nordström, Andrea Alessandro Ruggiu,
"On conservation and stability properties for summation-by-parts schemes",
Journal of Computational Physics,
344:
451-464, 2017.

Samira Nikkar, Jan Nordström,
"A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces",
Journal of Computational Physics,
339:
500-524, 2017.

Tommy Elfving, Per Christian Hansen, Touraj Nikazad,
"Correction: Convergence analysis for column-action methods in image reconstruction (vol 74, pg 905, 2017)",
Numerical Algorithms,
74(3):
925-925, 2017.

Tommy Elfving, Per Christian Hansen, Touraj Nikazad,
"Convergence analysis for column-action methods in image reconstruction",
Numerical Algorithms,
74(3):
905-924, 2017.

Yann T. Delorme, Kunal Puri, Jan Nordström, Viktor Linders, Suchuan Dong, Steven H. Frankel,
"A simple and efficient incompressible Navier-Stokes solver for unsteady complex geometry flows on truncated domains",
Computers & Fluids,
150:
84-94, 2017.

Viktor Linders, Marco Kupiainen, Jan Nordström,
"Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations",
Journal of Computational Physics,
340:
160-176, 2017.

Touraj Nikazad, Mokhtar Abbasi, Tommy Elfving,
"Error minimizing relaxation strategies in Landweber and Kaczmarz type iterations",
Journal of Inverse and Ill-Posed Problems,
25(1):
35-56, 2017.

Emanuel Evarest, Fredrik Berntsson, Martin Singull, Wilson M. Charles,
"Regime Switching models on Temperature Dynamics",
International Journal of Applied Mathematics and Statistics,
56(2),
2017.

AbstractKeywordsBiBTeX

Fredrik Berntsson, Anna Orlof, Johan Thim,
"Error Estimation for Eigenvalues of Unbounded Linear Operators and an Application to Energy Levels in Graphene Quantum Dots",
Numerical Functional Analysis and Optimization,
38(3):
293-305, 2017.

Marco Compagnoni, Roberto Notari, Andrea Alessandro Ruggiu, Fabio Antonacci, Augusto Sarti,
"The Algebro-geometric Study of Range Maps",
Journal of nonlinear science,
27(1):
99-157, 2017.

Fredrik Berntsson, Vladimir Kozlov, L. Mpinganzima, Bengt-Ove Turesson,
"Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation",
Computers and Mathematics with Applications,
73(1):
163-172, 2017.

David A. Kopriva, Jan Nordström, Gregor J. Gassner,
"Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems",
Journal of Scientific Computing,
72(1):
314-330, 2017.

Hannes Frenander, Jan Nordström,
"Constructing non-reflecting boundary conditions using summation-by-parts in time",
Journal of Computational Physics,
331:
38-48, 2017.

Jan Nordström,
"A Roadmap to Well Posed and Stable Problems in Computational Physics",
Journal of Scientific Computing,
71(1):
365-385, 2017.

Sofia Eriksson, Jan Nordström,
"Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability",
Foundations of Computational Mathematics,
17(4):
957-986, 2017.

2016

Lars Eldén,
"Preface to BIT 56:4 in BIT NUMERICAL MATHEMATICS",
BIT Numerical Mathematics,
56(4):
1163-1164, 2016.

Jan Nordström, Tomas Lundquist,
"Summation-By-Parts in Time: The Second Derivative",
SIAM Journal on Scientific Computing,
38(3):
A1561-A1586, 2016.

David Amsallem, Jan Nordström,
"Energy Stable Model Reduction of Neurons by Non-negative Discrete Empirical Interpolation",
SIAM Journal on Scientific Computing,
38(2):
B297-B326, 2016.

Irvy M.A. Gledhill, Hamed Roohani, Karl Forsberg, Peter Eliasson, Beric M. Skews, Jan Nordström,
"Theoretical treatment of fluid flow for accelerating bodies",
Theoretical and Computational Fluid Dynamics,
30(5):
449-467, 2016.

Jan Nordström, Samira Nikkar,
"Hyperbolic systems of equations posed on erroneous curved domains",
Journal of Computational Physics,
308:
438-442, 2016.

Tomas Lundquist, Jan Nordström,
"Efficient fully discrete summation-by-parts schemes for unsteady flow problems",
BIT Numerical Mathematics,
56(3):
951-966, 2016.

Hannes Frenander, Jan Nordström,
"A Stable and Accurate Davies-like Relaxation Procedure using Multiple Penalty Terms for Lateral Boundary Conditions",
Dynamics of atmospheres and oceans (Print),
73:
34-46, 2016.

Per Pettersson, Jan Nordström, Alireza Doostan,
"A Well-posed and Stable Stochastic Galerkin Formulation of the Incompressible Navier-Stokes Equations with Random Data",
Journal of Computational Physics,
306:
92-116, 2016.

Cristina La Cognata, Jan Nordström,
"Well-posedness, stability and conservation for a discontinuous interface problem",
BIT Numerical Mathematics,
56(2):
681-704, 2016.

2015

Lars Eldén,
"Editorial Material: Preface to BIT 55:4 in BIT NUMERICAL MATHEMATICS, vol 55, issue 4, pp 897-899",
BIT Numerical Mathematics,
55(4):
897-899, 2015.

Chiara Sorgentone, Cristina La Cognata, Jan Nordström,
"A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator",
Journal of Computational Physics,
301:
167-177, 2015.

Viktor Linders, Jan Nordström,
"Uniformly Best Wavenumber Approximations by Spatial Central Difference Operators",
Journal of Computational Physics,
300:
695-709, 2015.

Jan Nordström, Sarmad Ghader,
"A New Well-posed Vorticity Divergence Formulation of the Shallow Water Equations",
Ocean Modelling,
93:
1-6, 2015.

Samira Nikkar, Jan Nordström,
"Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains",
Journal of Computational Physics,
291:
82-98, 2015.

Lars Eldén,
"Computing Frechet derivatives in partial least squares regression",
Linear Algebra and its Applications,
473:
316-338, 2015.

Sarmad Ghader, Jan Nordström,
"High-order Compact Finite Difference Schemes for the Vorticity-divergence Representation of the Spherical Shallow Water Equations",
International Journal for Numerical Methods in Fluids,
78(12):
709-738, 2015.

Ossian O’Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham,
"Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods",
Communications in Computational Physics,
17(2):
337-370, 2015.

Jan Nordström, Markus Wahlsten,
"Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations",
Journal of Computational Physics,
282:
1-22, 2015.

## Reports

2017

Viktor Linders, Tomas Lundquist, Jan Nordström,
"On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-By-Parts Form",
LiTH-MAT-R,
No. 2017:11,
2017.

Jan Nordström, Cristina La Cognata,
"Energy Stable Boundary Conditions for the Nonlinear Incompressible Navier-Stokes Equations",
LiTH-MAT-R,
No. 2017:9,
2017.

Cristina La Cognata, Jan Nordström,
"Spectral analysis of the incompressible Navier-Stokes equations with different boundary conditions",
LiTH-MAT-R,
No. 2017:10,
2017.

Andrea Alessandro Ruggiu, Per Weinerfelt, Jan Nordström,
"A New Multigrid Formulation for High Order Finite Difference Methods on Summation-by-Parts Form",
LiTH-MAT-R,
No. 2017:08,
2017.

Emanuel Evarest Sinkwembe, Fredrik Berntsson, Martin Singull, Xiangfeng Yang,
"Weather derivatives pricing using regim switching models",
LiTH-MAT-R,
No. 2017/04,
2017.

Tomas Lundquist, Jan Nordström,
"An analysis of non-conforming grid techniques for high order summation-by-parts metods",
LiTH-MAT-R,
No. 2017:2,
2017.

Jan Nordström, Hannes Frenander,
"Long time error bounds for the wave equation on second order form",
LiTH-MAT-R,
No. 2017:1,
2017.

2016

Markus Wahlsten, Jan Nordström,
"The effect of uncertain geometries on advection-diffusion of scalar quantities",
LiTH-MAT-R,
No. 20,
2016.

Markus Wahlsten,
"Robust Boundary Conditions for Stochastic Incompletely Parabolic Systems of Equations",
LiTH-MAT-R,
No. 19,
2016.

Hannes Frenander, Jan Nordström,
"A stable and accurate data assmimilation technique using multiple penalty terms in space and time",
LiTH-MAT-R,
No. 18,
2016.

Ossian O’Reilly, Tomas Lundquist, Jan Nordström, Eric M. Dunham,
"Energy stable and high-order-accurate finite difference methods on staggered grids",
LiTH-MAT-R,
No. 2016:17,
2016.

Ossian Oreilly, Eric M. Dunham, Jan Nordström,
"Simultation of wave propagation along fluid-filled cracks using high-order summation-by-parts operators and implicit-explicit time stepping",
LiTH-MAT-R,
No. 2016:16,
2016.

Oskar Ålund, Jan Nordström,
"A provably stable, non-iterative domain decomposition technique for the advection-diffusion equation",
LiTH-MAT-R,
No. 2016:15,
2016.

Hannes Frenander, Jan Nordström,
"Constructing non-reflecting boundary conditions using summation-by-parts in time",
LiTH-MAT-R,
No. 2016:14,
2016.

David A. Kopriva, Jan Nordström, Gregor Gassner,
"Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems",
LiTH-MAT-R,
No. 2016:13,
2016.

Fatemeh Ghasemi, Jan Nordström,
"Coupling requirements for multi-physics problems",
LiTH-MAT-R,
No. 2016:08,
2016.

Emanuel Evarest, Fredrik Berntsson, Martin Singull, Wilson Charles,
"Regime Switching models on Temperature Dynamics",
LiTH-MAT-R,
No. 2016:12,
2016.

Samira Nikkar, Jan Nordström,
"Summation-by-parts operators for non-simply connected domains",
LiTH-MAT-R,
No. 2016:11,
2016.

Samira Nikkar, Jan Nordström,
"A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains",
LiTH-MAT-R,
No. 2016:10,
2016.

Samira Nikkar, Jan Nordström,
"A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces",
LiTH-MAT-R,
No. 2016:9,
2016.

Viktor Linders, Marco Kupiainen, Jan Nordström,
"Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations",
LiTH-MAT-R,
No. 2016:7,
2016.

Tomas Lundquist, Jan Nordström,
"An Energy Stable Summation-by-parts Formulation for General Multi-block and Hybrid Meshes",
LiTH-MAT-R,
No. 2016:03,
2016.

Tomas Lundquist, Jan Nordström,
"On the Suboptimal Accuracy of Summation-by-parts Schemes with Non-conforming Block Interfaces",
LiTH-MAT-R,
No. 2015:16,
2016.

Jan Nordström, Tomas Lundquist,
"Summation-by-parts in Time: the Second Derivative",
LiTH-MAT-R,
No. 2014:11,
2016.

2015

Per Pettersson, Jan Nordström, Alireza Doostan,
"A Well-posed and Stable Stochastic Galerkin Formulation of the Incompressible Navier-Stokes Equations with Random Data",
LiTH-MAT-R,
No. 2015:06,
2015.

Chiara Sorgentone, Cristina La Cognata, Jan Nordström,
"A New High Order Energy and Enstrophy Conserving Arakawa-like Jacobian Differential Operator",
LiTH-MAT-R,
No. 2015:05,
2015.

Viktor Linders, Jan Nordström,
"Uniformly Best Wavenumber Approximations by Spatial Central Difference Operators",
LiTH-MAT-R,
No. 2014:17,
2015.

Cristina La Cognata, Jan Nordström,
"Well-posedness, Stability and Conservation for a Discontinuous Interface Problem",
LiTH-MAT-R,
No. 2014:16,
2015.

Sidansvarig:
ingegerd.skoglund@liu.se

Senast uppdaterad: Tue Mar 11 09:19:23 CET 2014