List of Publications for Fredrik Berntsson
Department of Mathematics, Linköping University.
 
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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
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.
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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.
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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.
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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.
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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.
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2016
Fredrik Berntsson, Matts Karlsson, Vladimir Kozlov, Sergey A. Nazarov, "A one-dimensional model of viscous blood flow in an elastic vessel", Applied Mathematics and Computation, 274: 125-132, 2016.
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2014
Fredrik Berntsson, George Baravdish, "Coefficient identification in PDEs applied to image inpainting", Applied Mathematics and Computation, 242: 227-235, 2014.
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Lin Chen, Fredrik Berntsson, Zhongjie Zhang, Peng Wang, Jing Wu, Tao Xu, "Seismically constrained thermo-rheological structure of the eastern Tibetan margin: Implication for lithospheric delamination", Tectonophysics, 627: 122-134, 2014.
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Fredrik Berntsson, Vladimir Kozlov, Lydie Mpinganzima, Bengt-Ove Turesson, "An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation", Computers and Mathematics with Applications, 68(1-2): 44-60, 2014.
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Fredrik Berntsson, Vladimir Kozlov, Lydie Mpinganzima, Bengt-Ove Turesson, "An alternating iterative procedure for the Cauchy problem for the Helmholtz equation", Inverse Problems in Science and Engineering, 22(1): 45-62, 2014.
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2012
Fredrik Berntsson, "An Inverse Heat Conduction Problem and Improving Shielded Thermocouple Accuracy", Numerical Heat Transfer, Part A Applications, 61(10): 754-763, 2012.
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2007
P. Wikstrom, W. Blasiak, Fredrik Berntsson, "Estimation of the transient surface temperature and heat flux of a steel slab using an inverse method", Applied Thermal Engineering, 27(14-15): 2463-2472, 2007.
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2005
Lars Elden, Fredrik Berntsson, "A stability estimate for a Cauchy problem for an elliptic partial differential equation", Inverse Problems, 21(5): 1643-1653, 2005.
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2003
Fredrik Berntsson, "Sequential solution of the sideways heat equation by windowing of the data", Inverse Problems in Engineering, 11(2): 91-103, 2003.
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2002
Fredrik Berntsson, "Boundary identification for an elliptic equation", Inverse Problems, 18(6): 1579-1592, 2002.
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2001
Fredrik Berntsson, "A survey of methods for determinig surface temperatures using interior measurements", Trends in Heat, Mass & Momentum Transfer, 7(pp): 105-128, 2001.
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Fredrik Berntsson, Lars Eldén, "Numerical solution of a Cauchy problem for the Laplace equation", Inverse Problems, 17(4): 839-853, 2001.
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2000
Lars Elden, Fredrik Berntsson, Teresa Reginska, "Wavelet and Fourier methods for solving the sideways heat equation", SIAM Journal on Scientific Computing, 21(6): 2187-2205, 2000.
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1999
Fredrik Berntsson, "A spectral method for solving the sideways heat equation", Inverse Problems, 15(4): 891-906, 1999.
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Conference papers

2005
Fredrik Berntsson, Lars Eldén, "Numerical Solution of Cauchy Problems for Elliptic Equations in ``Rectangle-like'' Geometries", Proceedings for the FEMLAB Conference 2005, 2005.
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Fredrik Berntsson, Lars Elden, "Numerical Solution of Cauchy Problems for Elliptic Equations in "Rectangle-like" Geometries", FEMLAB Conference,2005, 2005.
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2000
Fredrik Berntsson, Lars Eldén, "Numerical Solution of an Inverse Steady State Heat Conduction Problem", International Symposium on Inverse Problems In Engineering Mechanics, Nagano, Japan, March 2000, 2000.
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Fredrik Berntsson, Lars Eldén, "An inverse heat conduction problem and an application to heat treatment of aluminium", Inverse Problems in Engineering Mechanics II, 99-106, 2000.
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1998
Fredrik Berntsson, Lars Eldén, "Spectral and Wavelet Methods for Solving an Inverse Heat Conduction Problem", Inverse Problems in Engineering Mechanics, 3-10, 1998.
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Fredrik Berntsson, "Numerical Methods for an Inverse Heat Conduction Problem", The ECMI98 Conference, Göteborg, June 1998, 1998.
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1997
Fredrik Berntsson, "Simulation Tools for Injection Moulding", Nordic Matlab Conference, Stockholm, October 1997, 1997.
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Fredrik Berntsson, Lars Eldén, Dan Loyd, Ricardo Garcia-Padrón, "A Comparison of Three Numerical Methods for an Inverse Heat Conduction Problem and an Industrial Application", Numerical Methods in Thermal Problems Conference, University of Wales, Swansea, 1997.
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Theses

2001
Fredrik Berntsson, "Numerical methods for inverse heat conduction problems", Linköping Studies in Science and Technology. Dissertations, No. 723, 2001.
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Reports

2017
Fredrik Berntsson, Martin Ohlson, "More on Estimation of Banded and Banded Toeplitz Covariance Matrices", LiTH-MAT-R, No. 2017:12, 2017.
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Emanuel Evarest Sinkwembe, Fredrik Berntsson, Martin Singull, Xiangfeng Yang, "Weather derivatives pricing using regim switching models", LiTH-MAT-R, No. 2017/04, 2017.
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2016
Emanuel Evarest, Fredrik Berntsson, Martin Singull, Wilson Charles, "Regime Switching models on Temperature Dynamics", LiTH-MAT-R, No. 2016:12, 2016.
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2014
Fredrik Berntsson, Vladimir A. Kozlov, Lydie Mpinganzima, Bengt-Ove Turesson, "Numerical Solution of the Cauchy Problem for the Helmholtz Equation", LiTH-MAT-R, No. 2014:04, 2014.
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2011
Fredrik Berntsson, Lydie Mpinganzima, "A Data Assimilation Approach to Coefficient Identification", LiTH-MAT-R, No. 2011:9, 2011.
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2001
Fredrik Berntsson, "Boundary identification for an elliptic equation", LiTH-MAT-R, No. 23, 2001.
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