Tveito, Aslak; Langtangen, Hans Petter; Nielsen, Bjørn Frederik; Cai, Xing Elements of scientific computing. (English) Zbl 1220.65001 Texts in Computational Science and Engineering 7. Berlin: Springer (ISBN 978-3-642-11298-0/hbk; 978-3-642-26519-8/pbk; 978-3-642-11299-7/ebook). xii, 460 p. (2010). Reviewer: Rudolf Gorenflo (Berlin) MSC: 65-01 68W30 65H10 65L12 65M12 65M32 35R30 35K05 65D32 00A06 PDFBibTeX XMLCite \textit{A. Tveito} et al., Elements of scientific computing. Berlin: Springer (2010; Zbl 1220.65001) Full Text: DOI
Nielsen, Bjørn Fredrik; Cai, Xing; Sundnes, Joakim; Tveito, Aslak Towards a computational method for imaging the extracellular potassium concentration during regional ischemia. (English) Zbl 1168.92032 Math. Biosci. 220, No. 2, 118-130 (2009). MSC: 92C55 92C50 35R30 35Q92 PDFBibTeX XMLCite \textit{B. F. Nielsen} et al., Math. Biosci. 220, No. 2, 118--130 (2009; Zbl 1168.92032) Full Text: DOI
Nielsen, Bjørn Fredrik; Tveito, Aslak; Hackbusch, Wolfgang Preconditioning by inverting the Laplacian: An analysis of the eigenvalues. (English) Zbl 1167.65066 IMA J. Numer. Anal. 29, No. 1, 24-42 (2009). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N25 65F35 35P15 PDFBibTeX XMLCite \textit{B. F. Nielsen} et al., IMA J. Numer. Anal. 29, No. 1, 24--42 (2009; Zbl 1167.65066) Full Text: DOI
Nielsen, Bjørn Fredrik; Skavhaug, Ola; Tveito, Aslak Penalty methods for the numerical solution of American multi-asset option problems. (English) Zbl 1152.91542 J. Comput. Appl. Math. 222, No. 1, 3-16 (2008). MSC: 91G60 65M06 65M12 65Y20 91G20 60G40 PDFBibTeX XMLCite \textit{B. F. Nielsen} et al., J. Comput. Appl. Math. 222, No. 1, 3--16 (2008; Zbl 1152.91542) Full Text: DOI
Cai, Xing; Nielsen, Bjørn Fredrik; Tveito, Aslak A note on the efficiency of the conjugate gradient method for a class of time-dependent problems. (English) Zbl 1199.65098 Numer. Linear Algebra Appl. 14, No. 5, 459-467 (2007). MSC: 65F10 65F50 65M55 35K20 65F08 PDFBibTeX XMLCite \textit{X. Cai} et al., Numer. Linear Algebra Appl. 14, No. 5, 459--467 (2007; Zbl 1199.65098) Full Text: DOI
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak An order optimal solver for the discretized bidomain equations. (English) Zbl 1199.65111 Numer. Linear Algebra Appl. 14, No. 2, 83-98 (2007). MSC: 65F10 65M60 92C05 65F08 35Q92 PDFBibTeX XMLCite \textit{K.-A. Mardal} et al., Numer. Linear Algebra Appl. 14, No. 2, 83--98 (2007; Zbl 1199.65111) Full Text: DOI
MacLachlan, Mary C.; Sundnes, Joakim; Skavhaug, Ola; Lysaker, Marius; Nielsen, Bjørn Fredrik; Tveito, Aslak A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia. (English) Zbl 1129.92043 Math. Biosci. 210, No. 1, 238-252 (2007). MSC: 92C50 35Q92 65C20 PDFBibTeX XMLCite \textit{M. C. MacLachlan} et al., Math. Biosci. 210, No. 1, 238--252 (2007; Zbl 1129.92043) Full Text: DOI
Nielsen, Bjørn Fredrik; Ruud, Tomas Syrstad; Lines, Glenn Terje; Tveito, Aslak Optimal monodomain approximations of the bidomain equations. (English) Zbl 1115.92005 Appl. Math. Comput. 184, No. 2, 276-290 (2007). MSC: 92C05 65N99 93B30 35Q92 78A70 PDFBibTeX XMLCite \textit{B. F. Nielsen} et al., Appl. Math. Comput. 184, No. 2, 276--290 (2007; Zbl 1115.92005) Full Text: DOI Link
Nielsen, Bjørn Fredrik; Lysaker, Marius; Tveito, Aslak On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem. (English) Zbl 1104.92035 J. Comput. Phys. 220, No. 2, 772-790 (2007). MSC: 92C50 78A70 35R30 92C55 35J25 PDFBibTeX XMLCite \textit{B. F. Nielsen} et al., J. Comput. Phys. 220, No. 2, 772--790 (2007; Zbl 1104.92035) Full Text: DOI
Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak Computing the electrical activity in the heart. (English) Zbl 1182.92020 Monographs in Computational Science and Engineering 1. Berlin: Springer (ISBN 3-540-33432-7/hbk). xi, 311 p. (2006). MSC: 92C30 92C05 92-02 92-08 78A70 PDFBibTeX XMLCite \textit{J. Sundnes} et al., Computing the electrical activity in the heart. Berlin: Springer (2006; Zbl 1182.92020) Full Text: DOI
Cai, Xing; Nielsen, Bjørn Fredrik; Tveito, Aslak An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation. (English) Zbl 0932.65114 IMA J. Numer. Anal. 19, No. 2, 291-316 (1999). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65N30 65F10 35J25 76M10 35Q35 76S05 65F35 PDFBibTeX XMLCite \textit{X. Cai} et al., IMA J. Numer. Anal. 19, No. 2, 291--316 (1999; Zbl 0932.65114) Full Text: DOI
Nielsen, Bjørn Fredrik; Tveito, Aslak An upscaling method for one-phase flow in heterogeneous reservoirs. A weighted output least squares (WOLS) approach. (English) Zbl 0949.76082 Comput. Geosci. 2, No. 2, 93-123 (1998). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 76S05 76M50 74Q15 PDFBibTeX XMLCite \textit{B. F. Nielsen} and \textit{A. Tveito}, Comput. Geosci. 2, No. 2, 93--123 (1998; Zbl 0949.76082) Full Text: DOI
Cai, Xing; Langtangen, Hans Petter; Nielsen, Bjørn Fredrik; Tveito, Aslak A finite element method for fully nonlinear water waves. (English) Zbl 0935.76042 J. Comput. Phys. 143, No. 2, 544-568 (1998). MSC: 76M10 76B15 PDFBibTeX XMLCite \textit{X. Cai} et al., J. Comput. Phys. 143, No. 2, 544--568 (1998; Zbl 0935.76042) Full Text: DOI Link
Nielsen, Bjørn Fredrik; Tveito, Aslak On the approximation of the solution of the pressure equation by changing the domain. (English) Zbl 0871.35029 SIAM J. Appl. Math. 57, No. 1, 15-33 (1997). Reviewer: S.Tersian (Russe) MSC: 35J25 65N22 PDFBibTeX XMLCite \textit{B. F. Nielsen} and \textit{A. Tveito}, SIAM J. Appl. Math. 57, No. 1, 15--33 (1997; Zbl 0871.35029) Full Text: DOI
Bruaset, A. M.; Nielsen, B. F.; Tveito, A. On the stability of solutions of the pressure equation with respect to perturbations in the mobility tensor. (English) Zbl 0900.76645 Z. Angew. Math. Mech. 76, Suppl. 2, 491-492 (1996). MSC: 76S05 PDFBibTeX XMLCite \textit{A. M. Bruaset} et al., Z. Angew. Math. Mech. 76, 491--492 (1996; Zbl 0900.76645)