Nordström, Jan Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics. (English) Zbl 07797664 J. Comput. Phys. 498, Article ID 112685, 19 p. (2024). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{J. Nordström}, J. Comput. Phys. 498, Article ID 112685, 19 p. (2024; Zbl 07797664) Full Text: DOI arXiv
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Energy-stable global radial basis function methods on summation-by-parts form. (English) Zbl 07788952 J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024). MSC: 65M70 65M06 65N35 65N12 65D12 65D25 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024; Zbl 07788952) Full Text: DOI arXiv OA License
Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. (English) Zbl 07771286 J. Comput. Phys. 491, Article ID 112370, 23 p. (2023). MSC: 65Mxx 65Dxx 35Lxx PDFBibTeX XMLCite \textit{J. Glaubitz} et al., J. Comput. Phys. 491, Article ID 112370, 23 p. (2023; Zbl 07771286) Full Text: DOI arXiv
Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods. (English) Zbl 07754854 SIAM J. Numer. Anal. 61, No. 5, 2327-2351 (2023). MSC: 65M20 65L06 65M12 65N50 35R37 PDFBibTeX XMLCite \textit{T. Lundquist} et al., SIAM J. Numer. Anal. 61, No. 5, 2327--2351 (2023; Zbl 07754854) Full Text: DOI arXiv
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. (English) Zbl 1524.65498 Commun. Appl. Math. Comput. 5, No. 2, 573-595 (2023). MSC: 65M60 65M12 65M06 65N30 65M15 PDFBibTeX XMLCite \textit{R. Abgrall} et al., Commun. Appl. Math. Comput. 5, No. 2, 573--595 (2023; Zbl 1524.65498) Full Text: DOI arXiv
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Summation-by-parts operators for general function spaces. (English) Zbl 07679126 SIAM J. Numer. Anal. 61, No. 2, 733-754 (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M70 65M06 65L06 65N30 65N35 65K10 65D25 65D12 65T40 65M12 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., SIAM J. Numer. Anal. 61, No. 2, 733--754 (2023; Zbl 07679126) Full Text: DOI arXiv
Linders, Viktor; Carpenter, Mark; Nordström, Jan A superconvergent stencil-adaptive SBP-SAT finite difference scheme. arXiv:2307.14034 Preprint, arXiv:2307.14034 [math.NA] (2023). MSC: 65M06 65M12 BibTeX Cite \textit{V. Linders} et al., ``A superconvergent stencil-adaptive SBP-SAT finite difference scheme'', Preprint, arXiv:2307.14034 [math.NA] (2023) Full Text: arXiv OA License
Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp Summation-by-parts operators for general function spaces: The second derivative. arXiv:2306.16314 Preprint, arXiv:2306.16314 [math.NA] (2023). MSC: 65M12 65M60 65M70 65D25 BibTeX Cite \textit{J. Glaubitz} et al., ``Summation-by-parts operators for general function spaces: The second derivative'', Preprint, arXiv:2306.16314 [math.NA] (2023) Full Text: DOI arXiv OA License
Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan On the theoretical foundation of overset grid methods for hyperbolic problems. II: Entropy bounded formulations for nonlinear conservation laws. (English) Zbl 07605591 J. Comput. Phys. 471, Article ID 111620, 18 p. (2022). MSC: 65Mxx 76Mxx 76Nxx PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., J. Comput. Phys. 471, Article ID 111620, 18 p. (2022; Zbl 07605591) Full Text: DOI arXiv
Nordström, Jan A skew-symmetric energy and entropy stable formulation of the compressible Euler equations. (English) Zbl 07599607 J. Comput. Phys. 470, Article ID 111573, 9 p. (2022). MSC: 65Mxx 35Lxx 76Nxx PDFBibTeX XMLCite \textit{J. Nordström}, J. Comput. Phys. 470, Article ID 111573, 9 p. (2022; Zbl 07599607) Full Text: DOI
Nordström, Jan; Laurén, Fredrik A stable and conservative nonlinear interface coupling for the incompressible Euler equations. (English) Zbl 1524.76137 Appl. Math. Lett. 132, Article ID 108171, 8 p. (2022). MSC: 76D05 65M06 65M12 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{F. Laurén}, Appl. Math. Lett. 132, Article ID 108171, 8 p. (2022; Zbl 1524.76137) Full Text: DOI
Lundquist, Tomas; Laurén, Fredrik; Nordström, Jan A multi-domain summation-by-parts formulation for complex geometries. (English) Zbl 07536769 J. Comput. Phys. 463, Article ID 111269, 9 p. (2022). MSC: 65Mxx 76Mxx 35Qxx PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Comput. Phys. 463, Article ID 111269, 9 p. (2022; Zbl 07536769) Full Text: DOI
Nordström, Jan; Winters, Andrew R. A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. (English) Zbl 07536758 J. Comput. Phys. 463, Article ID 111254, 15 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{J. Nordström} and \textit{A. R. Winters}, J. Comput. Phys. 463, Article ID 111254, 15 p. (2022; Zbl 07536758) Full Text: DOI arXiv
Laurén, Fredrik; Nordström, Jan Energy stable wall modeling for the Navier-Stokes equations. (English) Zbl 1515.76038 J. Comput. Phys. 457, Article ID 111046, 18 p. (2022). MSC: 76D05 76M99 65M12 65M30 PDFBibTeX XMLCite \textit{F. Laurén} and \textit{J. Nordström}, J. Comput. Phys. 457, Article ID 111046, 18 p. (2022; Zbl 1515.76038) Full Text: DOI
Nordström, Jan Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? (English) Zbl 07518085 J. Comput. Phys. 455, Article ID 111001, 13 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{J. Nordström}, J. Comput. Phys. 455, Article ID 111001, 13 p. (2022; Zbl 07518085) Full Text: DOI arXiv
Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation. (English) Zbl 07516816 J. Comput. Phys. 448, Article ID 110732, 23 p. (2022). MSC: 65Mxx 35Kxx 35Lxx PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., J. Comput. Phys. 448, Article ID 110732, 23 p. (2022; Zbl 07516816) Full Text: DOI arXiv
O’Reilly, Ossian; Nordström, Jan Provably non-stiff implementation of weak coupling conditions for hyperbolic problems. (English) Zbl 1492.65241 Numer. Math. 150, No. 2, 551-589 (2022). MSC: 65M06 65M12 76Q05 74J20 PDFBibTeX XMLCite \textit{O. O'Reilly} and \textit{J. Nordström}, Numer. Math. 150, No. 2, 551--589 (2022; Zbl 1492.65241) Full Text: DOI
Nordström, Jan A skew-symmetric energy and entropy stable formulation of the compressible Euler equations. arXiv:2201.05423 Preprint, arXiv:2201.05423 [math.AP] (2022). MSC: 65M12 BibTeX Cite \textit{J. Nordström}, ``A skew-symmetric energy and entropy stable formulation of the compressible Euler equations'', Preprint, arXiv:2201.05423 [math.AP] (2022) Full Text: DOI arXiv OA License
Ålund, Oskar; Iaccarino, Gianluca; Nordström, Jan Learning to differentiate. (English) Zbl 07508475 J. Comput. Phys. 424, Article ID 109873, 13 p. (2021). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{O. Ålund} et al., J. Comput. Phys. 424, Article ID 109873, 13 p. (2021; Zbl 07508475) Full Text: DOI
Svärd, Magnus; Nordström, Jan Convergence of energy stable finite-difference schemes with interfaces. (English) Zbl 07500752 J. Comput. Phys. 429, Article ID 110020, 5 p. (2021). MSC: 65Mxx 35Kxx 35Gxx PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 429, Article ID 110020, 5 p. (2021; Zbl 07500752) Full Text: DOI
Singh, Vikram; Frankel, Steven; Nordström, Jan Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations. (English) Zbl 1521.76366 Comput. Fluids 220, Article ID 104870, 15 p. (2021). MSC: 76M10 65M60 76N06 PDFBibTeX XMLCite \textit{V. Singh} et al., Comput. Fluids 220, Article ID 104870, 15 p. (2021; Zbl 1521.76366) Full Text: DOI arXiv
Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. (English) Zbl 1476.65317 J. Sci. Comput. 88, No. 1, Paper No. 3, 23 p. (2021). MSC: 65N35 65N30 65L06 35F05 PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., J. Sci. Comput. 88, No. 1, Paper No. 3, 23 p. (2021; Zbl 1476.65317) Full Text: DOI arXiv
Ranocha, Hendrik; Nordström, Jan A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions. (English) Zbl 1471.65083 J. Sci. Comput. 87, No. 1, Paper No. 33, 26 p. (2021). MSC: 65L06 65L20 65M20 PDFBibTeX XMLCite \textit{H. Ranocha} and \textit{J. Nordström}, J. Sci. Comput. 87, No. 1, Paper No. 33, 26 p. (2021; Zbl 1471.65083) Full Text: DOI arXiv
Lundquist, Tomas; Nordström, Jan; Malan, Arnaud Stable dynamical adaptive mesh refinement. (English) Zbl 1459.76093 J. Sci. Comput. 86, No. 3, Paper No. 43, 28 p. (2021). MSC: 76M20 65M50 65M12 PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Sci. Comput. 86, No. 3, Paper No. 43, 28 p. (2021; Zbl 1459.76093) Full Text: DOI
Linders, Viktor; Nordström, Jan; Frankel, Steven H. Properties of Runge-Kutta-summation-by-parts methods. (English) Zbl 07507243 J. Comput. Phys. 419, Article ID 109684, 16 p. (2020). MSC: 41-XX 65-XX PDFBibTeX XMLCite \textit{V. Linders} et al., J. Comput. Phys. 419, Article ID 109684, 16 p. (2020; Zbl 07507243) Full Text: DOI
Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan Efficient and error minimized coupling procedures for unstructured and moving meshes. (English) Zbl 1453.65273 J. Comput. Phys. 406, Article ID 109158, 21 p. (2020). MSC: 65M12 65M50 PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Comput. Phys. 406, Article ID 109158, 21 p. (2020; Zbl 1453.65273) Full Text: DOI Link
Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. (English) Zbl 1456.65100 J. Sci. Comput. 85, No. 2, Paper No. 43, 28 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{R. Abgrall} et al., J. Sci. Comput. 85, No. 2, Paper No. 43, 28 p. (2020; Zbl 1456.65100) Full Text: DOI arXiv
Nordström, Jan; Hagstrom, Thomas M. The number of boundary conditions for initial boundary value problems. (English) Zbl 1450.35126 SIAM J. Numer. Anal. 58, No. 5, 2818-2828 (2020). MSC: 35G46 65M12 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{T. M. Hagstrom}, SIAM J. Numer. Anal. 58, No. 5, 2818--2828 (2020; Zbl 1450.35126) Full Text: DOI
Nordström, Jan; Laurén, Fredrik The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations. (English) Zbl 1436.76006 Comput. Methods Appl. Mech. Eng. 363, Article ID 112857, 21 p. (2020). MSC: 76D05 76D07 65M12 65M06 76M20 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{F. Laurén}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112857, 21 p. (2020; Zbl 1436.76006) Full Text: DOI
Ruggiu, Andrea A.; Nordström, Jan Multigrid schemes for high order discretizations of hyperbolic problems. (English) Zbl 1440.65127 J. Sci. Comput. 82, No. 3, Paper No. 62, 39 p. (2020). MSC: 65M55 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{A. A. Ruggiu} and \textit{J. Nordström}, J. Sci. Comput. 82, No. 3, Paper No. 62, 39 p. (2020; Zbl 1440.65127) Full Text: DOI
Lundquist, Tomas; Nordström, Jan Stable and accurate filtering procedures. (English) Zbl 1434.65126 J. Sci. Comput. 82, No. 1, Paper No. 16, 21 p. (2020). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{T. Lundquist} and \textit{J. Nordström}, J. Sci. Comput. 82, No. 1, Paper No. 16, 21 p. (2020; Zbl 1434.65126) Full Text: DOI
Svärd, Magnus; Nordström, Jan On the convergence rates of energy-stable finite-difference schemes. (English) Zbl 1453.65233 J. Comput. Phys. 397, Article ID 108819, 32 p. (2019). MSC: 65M06 65M12 35G05 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 397, Article ID 108819, 32 p. (2019; Zbl 1453.65233) Full Text: DOI
Ghasemi, Fatemeh; Nordström, Jan An energy stable coupling procedure for the compressible and incompressible Navier-Stokes equations. (English) Zbl 1452.76153 J. Comput. Phys. 396, 280-302 (2019). MSC: 76M20 76T10 76D05 76N06 65M06 65M12 PDFBibTeX XMLCite \textit{F. Ghasemi} and \textit{J. Nordström}, J. Comput. Phys. 396, 280--302 (2019; Zbl 1452.76153) Full Text: DOI Link
Ålund, Oskar; Nordström, Jan Encapsulated high order difference operators on curvilinear non-conforming grids. (English) Zbl 1451.65103 J. Comput. Phys. 385, 209-224 (2019). MSC: 65M06 65M12 65M50 PDFBibTeX XMLCite \textit{O. Ålund} and \textit{J. Nordström}, J. Comput. Phys. 385, 209--224 (2019; Zbl 1451.65103) Full Text: DOI Link
Erickson, Brittany A.; O’Reilly, Ossian; Nordström, Jan Accuracy of stable, high-order finite difference methods for hyperbolic systems with non-smooth wave speeds. (English) Zbl 1447.65021 J. Sci. Comput. 81, No. 3, 2356-2387 (2019). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 35C05 44A10 PDFBibTeX XMLCite \textit{B. A. Erickson} et al., J. Sci. Comput. 81, No. 3, 2356--2387 (2019; Zbl 1447.65021) Full Text: DOI Link
Nikkar, Samira; Nordström, Jan A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains. (English) Zbl 1416.76186 J. Comput. Phys. 376, 322-338 (2019). MSC: 76M20 76D05 65M12 PDFBibTeX XMLCite \textit{S. Nikkar} and \textit{J. Nordström}, J. Comput. Phys. 376, 322--338 (2019; Zbl 1416.76186) Full Text: DOI Link
Nordström, Jan; La Cognata, Cristina Energy stable boundary conditions for the nonlinear incompressible Navier-Stokes equations. (English) Zbl 1405.65107 Math. Comput. 88, No. 316, 665-690 (2019). MSC: 65M12 65M06 35M33 76D05 35Q35 76M20 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{C. La Cognata}, Math. Comput. 88, No. 316, 665--690 (2019; Zbl 1405.65107) Full Text: DOI Link
Wahlsten, Markus; Nordström, Jan Galerkin projection and numerical integration for a stochastic investigation of the viscous Burgers’ equation: an initial attempt. (English) Zbl 07136785 Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 1005-1013 (2018). MSC: 65C30 60H15 35R60 65M60 65M06 65M12 65L06 65M15 65P30 PDFBibTeX XMLCite \textit{M. Wahlsten} and \textit{J. Nordström}, Lect. Notes Comput. Sci. Eng. 126, 1005--1013 (2018; Zbl 07136785) Full Text: DOI
Eriksson, Sofia; Nordström, Jan Finite difference schemes with transferable interfaces for parabolic problems. (English) Zbl 1416.65259 J. Comput. Phys. 375, 935-949 (2018). MSC: 65M06 35K10 35K05 65M12 PDFBibTeX XMLCite \textit{S. Eriksson} and \textit{J. Nordström}, J. Comput. Phys. 375, 935--949 (2018; Zbl 1416.65259) Full Text: DOI Link
Ålund, Oskar; Nordström, Jan A stable domain decomposition technique for advection-diffusion problems. (English) Zbl 1407.65174 J. Sci. Comput. 77, No. 2, 755-774 (2018). MSC: 65M55 65L06 35Q35 65M12 76R50 PDFBibTeX XMLCite \textit{O. Ålund} and \textit{J. Nordström}, J. Sci. Comput. 77, No. 2, 755--774 (2018; Zbl 1407.65174) Full Text: DOI
Nordström, Jan; Linders, Viktor Well-posed and stable transmission problems. (English) Zbl 1395.65052 J. Comput. Phys. 364, 95-110 (2018). MSC: 65M12 35R99 65M50 65M55 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{V. Linders}, J. Comput. Phys. 364, 95--110 (2018; Zbl 1395.65052) Full Text: DOI Link
Lundquist, Tomas; Malan, Arnaud; Nordström, Jan A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. (English) Zbl 1391.76560 J. Comput. Phys. 362, 49-68 (2018). MSC: 76M25 76M12 76M20 65M12 PDFBibTeX XMLCite \textit{T. Lundquist} et al., J. Comput. Phys. 362, 49--68 (2018; Zbl 1391.76560) Full Text: DOI
Frenander, Hannes; Nordström, Jan Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative. (English) Zbl 1390.65067 Numer. Methods Partial Differ. Equations 34, No. 2, 501-517 (2018). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{H. Frenander} and \textit{J. Nordström}, Numer. Methods Partial Differ. Equations 34, No. 2, 501--517 (2018; Zbl 1390.65067) Full Text: DOI Link
Nikkar, Samira; Nordström, Jan Summation-by-parts operators for non-simply connected domains. (English) Zbl 1450.65083 SIAM J. Sci. Comput. 40, No. 3, A1250-A1273 (2018). Reviewer: Bülent Karasözen (Ankara) MSC: 65M06 65M12 35A01 35A02 35Q31 PDFBibTeX XMLCite \textit{S. Nikkar} and \textit{J. Nordström}, SIAM J. Sci. Comput. 40, No. 3, A1250--A1273 (2018; Zbl 1450.65083) Full Text: DOI
Linders, Viktor; Lundquist, Tomas; Nordström, Jan On the order of accuracy of finite difference operators on diagonal norm based summation-by-parts form. (English) Zbl 1448.65192 SIAM J. Numer. Anal. 56, No. 2, 1048-1063 (2018). MSC: 65N06 65D25 65D30 65N12 PDFBibTeX XMLCite \textit{V. Linders} et al., SIAM J. Numer. Anal. 56, No. 2, 1048--1063 (2018; Zbl 1448.65192) Full Text: DOI
Svärd, Magnus; Nordström, Jan Response to “Convergence of summation-by-parts finite difference methods for the wave equation”. (English) Zbl 1398.65220 J. Sci. Comput. 74, No. 2, 1188-1192 (2018). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Sci. Comput. 74, No. 2, 1188--1192 (2018; Zbl 1398.65220) Full Text: DOI Link
Nordström, Jan A roadmap to well posed and stable problems in computational physics. (English) Zbl 06849361 J. Sci. Comput. 71, No. 1, 365-385 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{J. Nordström}, J. Sci. Comput. 71, No. 1, 365--385 (2017; Zbl 06849361) Full Text: DOI Link
Nordström, Jan; Ruggiu, Andrea A. On conservation and stability properties for summation-by-parts schemes. (English) Zbl 1380.65172 J. Comput. Phys. 344, 451-464 (2017). MSC: 65M06 65M12 35L04 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{A. A. Ruggiu}, J. Comput. Phys. 344, 451--464 (2017; Zbl 1380.65172) Full Text: DOI Link
O’Reilly, Ossian; Lundquist, Tomas; Dunham, Eric M.; Nordström, Jan Energy stable and high-order-accurate finite difference methods on staggered grids. (English) Zbl 1380.65173 J. Comput. Phys. 346, 572-589 (2017). MSC: 65M06 PDFBibTeX XMLCite \textit{O. O'Reilly} et al., J. Comput. Phys. 346, 572--589 (2017; Zbl 1380.65173) Full Text: DOI Link
Frenander, Hannes; Nordström, Jan Constructing non-reflecting boundary conditions using summation-by-parts in time. (English) Zbl 1380.65153 J. Comput. Phys. 331, 38-48 (2017). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{H. Frenander} and \textit{J. Nordström}, J. Comput. Phys. 331, 38--48 (2017; Zbl 1380.65153) Full Text: DOI Link
Nikkar, Samira; Nordström, Jan A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces. (English) Zbl 1380.65171 J. Comput. Phys. 339, 500-524 (2017). MSC: 65M06 35R37 76Q05 35Q31 35Q60 PDFBibTeX XMLCite \textit{S. Nikkar} and \textit{J. Nordström}, J. Comput. Phys. 339, 500--524 (2017; Zbl 1380.65171) Full Text: DOI Link
Carpenter, Mark H.; Nordström, Jan; Gottlieb, David Corrigendum to “A stable and conservative interface treatment of arbitrary spatial accuracy”. (English) Zbl 1380.65148 J. Comput. Phys. 351, 534 (2017). MSC: 65M06 65M12 35K15 35Q53 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., J. Comput. Phys. 351, 534 (2017; Zbl 1380.65148) Full Text: DOI
Mattsson, Ken; Nordström, Jan Corrigendum to “Summation by parts operators for finite difference approximations of second derivatives”. (English) Zbl 1378.65068 J. Comput. Phys. 351, 535 (2017). MSC: 65D25 65M15 65M06 35M10 35Q30 65M12 PDFBibTeX XMLCite \textit{K. Mattsson} and \textit{J. Nordström}, J. Comput. Phys. 351, 535 (2017; Zbl 1378.65068) Full Text: DOI
Ghasemi, Fatemeh; Nordström, Jan Coupling requirements for multiphysics problems posed on two domains. (English) Zbl 1378.65158 SIAM J. Numer. Anal. 55, No. 6, 2885-2904 (2017). MSC: 65M06 35L50 65M12 PDFBibTeX XMLCite \textit{F. Ghasemi} and \textit{J. Nordström}, SIAM J. Numer. Anal. 55, No. 6, 2885--2904 (2017; Zbl 1378.65158) Full Text: DOI
Eriksson, Sofia; Nordström, Jan Exact non-reflecting boundary conditions revisited: well-posedness and stability. (English) Zbl 1414.65013 Found. Comput. Math. 17, No. 4, 957-986 (2017). MSC: 65M12 65M06 35M33 35Q30 76N10 PDFBibTeX XMLCite \textit{S. Eriksson} and \textit{J. Nordström}, Found. Comput. Math. 17, No. 4, 957--986 (2017; Zbl 1414.65013) Full Text: DOI
Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. (English) Zbl 1371.65097 J. Sci. Comput. 72, No. 1, 314-330 (2017). MSC: 65M15 35L04 65M60 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., J. Sci. Comput. 72, No. 1, 314--330 (2017; Zbl 1371.65097) Full Text: DOI Link
Lundquist, Tomas; Nordström, Jan Efficient fully discrete summation-by-parts schemes for unsteady flow problems. (English) Zbl 1457.65056 BIT 56, No. 3, 951-966 (2016). MSC: 65M06 65M55 65M12 65L06 PDFBibTeX XMLCite \textit{T. Lundquist} and \textit{J. Nordström}, BIT 56, No. 3, 951--966 (2016; Zbl 1457.65056) Full Text: DOI Link
La Cognata, Cristina; Nordström, Jan Well-posedness, stability and conservation for a discontinuous interface problem. (English) Zbl 1341.65036 BIT 56, No. 2, 681-704 (2016). MSC: 65M20 35L04 35R05 65M06 65M12 PDFBibTeX XMLCite \textit{C. La Cognata} and \textit{J. Nordström}, BIT 56, No. 2, 681--704 (2016; Zbl 1341.65036) Full Text: DOI Link
Nordström, Jan; Lundquist, Tomas Summation-by-parts in time: the second derivative. (English) Zbl 1382.65278 SIAM J. Sci. Comput. 38, No. 3, A1561-A1586 (2016). MSC: 65M12 65M06 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{T. Lundquist}, SIAM J. Sci. Comput. 38, No. 3, A1561--A1586 (2016; Zbl 1382.65278) Full Text: DOI
O’Reilly, Ossian; Nordström, Jan; Kozdon, Jeremy E.; Dunham, Eric M. Simulation of earthquake rupture dynamics in complex geometries using coupled finite difference and finite volume methods. (English) Zbl 1373.86011 Commun. Comput. Phys. 17, No. 2, 337-370 (2015). MSC: 86A17 86A15 86-08 74S10 74L10 35Q86 65M08 65M12 35B30 35L65 PDFBibTeX XMLCite \textit{O. O'Reilly} et al., Commun. Comput. Phys. 17, No. 2, 337--370 (2015; Zbl 1373.86011) Full Text: DOI
Nordström, Jan; Wahlsten, Markus Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations. (English) Zbl 1351.35278 J. Comput. Phys. 282, 1-22 (2015). MSC: 35R60 60H10 35B30 35B35 35L50 60H25 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{M. Wahlsten}, J. Comput. Phys. 282, 1--22 (2015; Zbl 1351.35278) Full Text: DOI Link
Sorgentone, Chiara; La Cognata, Cristina; Nordström, Jan A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator. (English) Zbl 1349.76534 J. Comput. Phys. 301, 167-177 (2015). MSC: 76M20 65M06 65M12 76B47 PDFBibTeX XMLCite \textit{C. Sorgentone} et al., J. Comput. Phys. 301, 167--177 (2015; Zbl 1349.76534) Full Text: DOI Link
Nikkar, Samira; Nordström, Jan Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains. (English) Zbl 1349.65326 J. Comput. Phys. 291, 82-98 (2015). MSC: 65M06 PDFBibTeX XMLCite \textit{S. Nikkar} and \textit{J. Nordström}, J. Comput. Phys. 291, 82--98 (2015; Zbl 1349.65326) Full Text: DOI Link
La Cognata, Cristina; Nordström, Jan Well-posedness, stability and conservation for a discontinuous interface problem: an initial investigation. (English) Zbl 1352.65293 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 147-155 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 65M12 65M06 35L02 PDFBibTeX XMLCite \textit{C. La Cognata} and \textit{J. Nordström}, Lect. Notes Comput. Sci. Eng. 106, 147--155 (2015; Zbl 1352.65293) Full Text: DOI Link
Nordström, Jan; Abbas, Qaisar; Erickson, Brittany A.; Frenander, Hannes A flexible boundary procedure for hyperbolic problems: multiple penalty terms applied in a domain. (English) Zbl 1388.65064 Commun. Comput. Phys. 16, No. 2, 345-358 (2014). MSC: 65M06 65M12 35L50 PDFBibTeX XMLCite \textit{J. Nordström} et al., Commun. Comput. Phys. 16, No. 2, 345--358 (2014; Zbl 1388.65064) Full Text: DOI Link
Lundquist, Tomas; Nordström, Jan The SBP-SAT technique for initial value problems. (English) Zbl 1349.65550 J. Comput. Phys. 270, 86-104 (2014). MSC: 65M99 PDFBibTeX XMLCite \textit{T. Lundquist} and \textit{J. Nordström}, J. Comput. Phys. 270, 86--104 (2014; Zbl 1349.65550) Full Text: DOI Link
Svärd, Magnus; Nordström, Jan Review of summation-by-parts schemes for initial-boundary-value problems. (English) Zbl 1349.65336 J. Comput. Phys. 268, 17-38 (2014). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 268, 17--38 (2014; Zbl 1349.65336) Full Text: DOI arXiv
Berg, Jens; Nordström, Jan Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations. (English) Zbl 1349.76431 J. Comput. Phys. 259, 135-153 (2014). MSC: 76M20 76D05 65M06 65M12 76B15 76N99 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, J. Comput. Phys. 259, 135--153 (2014; Zbl 1349.76431) Full Text: DOI
Nordström, Jan; Berg, Jens Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling. (English) Zbl 1365.76276 Comput. Fluids 72, 20-29 (2013). MSC: 76N10 76M20 80M20 80A20 65M06 65M12 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{J. Berg}, Comput. Fluids 72, 20--29 (2013; Zbl 1365.76276) Full Text: DOI
Amsallem, David; Nordström, Jan High-order accurate difference schemes for the Hodgkin-Huxley equations. (English) Zbl 1349.92037 J. Comput. Phys. 252, 573-590 (2013). MSC: 92C20 37N25 92-08 PDFBibTeX XMLCite \textit{D. Amsallem} and \textit{J. Nordström}, J. Comput. Phys. 252, 573--590 (2013; Zbl 1349.92037) Full Text: DOI arXiv
Nordström, Jan; Lundquist, Tomas Summation-by-parts in time. (English) Zbl 1349.65399 J. Comput. Phys. 251, 487-499 (2013). MSC: 65M20 39A12 65B10 65L05 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{T. Lundquist}, J. Comput. Phys. 251, 487--499 (2013; Zbl 1349.65399) Full Text: DOI
Pettersson, Per; Doostan, Alireza; Nordström, Jan On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity. (English) Zbl 1286.65138 Comput. Methods Appl. Mech. Eng. 258, 134-151 (2013). MSC: 65M75 65M06 35R60 60H35 PDFBibTeX XMLCite \textit{P. Pettersson} et al., Comput. Methods Appl. Mech. Eng. 258, 134--151 (2013; Zbl 1286.65138) Full Text: DOI Link
Berg, Jens; Nordström, Jan On the impact of boundary conditions on dual consistent finite difference discretizations. (English) Zbl 1286.65107 J. Comput. Phys. 236, 41-55 (2013). MSC: 65M08 65M12 35K99 35Q30 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, J. Comput. Phys. 236, 41--55 (2013; Zbl 1286.65107) Full Text: DOI Link
Fisher, Travis C.; Carpenter, Mark H.; Nordström, Jan; Yamaleev, Nail K.; Swanson, Charles Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions. (English) Zbl 1284.65102 J. Comput. Phys. 234, 353-375 (2013). MSC: 65M06 70H33 65Z05 PDFBibTeX XMLCite \textit{T. C. Fisher} et al., J. Comput. Phys. 234, 353--375 (2013; Zbl 1284.65102) Full Text: DOI Link
Berg, Jens; Nordström, Jan Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. (English) Zbl 1284.65098 J. Comput. Phys. 231, No. 20, 6846-6860 (2012). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, J. Comput. Phys. 231, No. 20, 6846--6860 (2012; Zbl 1284.65098) Full Text: DOI Link
Berg, Jens; Nordström, Jan Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains. (English) Zbl 1251.65120 Appl. Numer. Math. 62, No. 11, 1620-1638 (2012). MSC: 65M06 35K05 65M12 35L45 65M15 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, Appl. Numer. Math. 62, No. 11, 1620--1638 (2012; Zbl 1251.65120) Full Text: DOI Link
Berg, Jens; Nordström, Jan Stable Robin solid wall boundary conditions for the Navier-Stokes equations. (English) Zbl 1280.76023 J. Comput. Phys. 230, No. 19, 7519-7532 (2011). MSC: 76M20 76N99 65M06 65M12 PDFBibTeX XMLCite \textit{J. Berg} and \textit{J. Nordström}, J. Comput. Phys. 230, No. 19, 7519--7532 (2011; Zbl 1280.76023) Full Text: DOI
Gong, Jing; Nordström, Jan Interface procedures for finite difference approximations of the advection-diffusion equation. (English) Zbl 1231.65141 J. Comput. Appl. Math. 236, No. 5, 602-620 (2011). MSC: 65M06 35K20 65M20 PDFBibTeX XMLCite \textit{J. Gong} and \textit{J. Nordström}, J. Comput. Appl. Math. 236, No. 5, 602--620 (2011; Zbl 1231.65141) Full Text: DOI
Eriksson, Sofia; Abbas, Qaisar; Nordström, Jan A stable and conservative method for locally adapting the design order of finite difference schemes. (English) Zbl 1220.65112 J. Comput. Phys. 230, No. 11, 4216-4231 (2011). MSC: 65M06 35L45 65M12 35L67 35Q53 35L65 PDFBibTeX XMLCite \textit{S. Eriksson} et al., J. Comput. Phys. 230, No. 11, 4216--4231 (2011; Zbl 1220.65112) Full Text: DOI Link
Nordstrom, Jan; Eriksson, Sofia Fluid structure interaction problems: the necessity of a well posed, stable and accurate formulation. (English) Zbl 1364.74037 Commun. Comput. Phys. 8, No. 5, 1111-1138 (2010). MSC: 74F10 74S10 PDFBibTeX XMLCite \textit{J. Nordstrom} and \textit{S. Eriksson}, Commun. Comput. Phys. 8, No. 5, 1111--1138 (2010; Zbl 1364.74037) Full Text: DOI Link
Svärd, Magnus; Lundberg, Johan; Nordström, Jan A computational study of vortex-airfoil interaction using high-order finite difference methods. (English) Zbl 1242.76214 Comput. Fluids 39, No. 8, 1267-1274 (2010). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{M. Svärd} et al., Comput. Fluids 39, No. 8, 1267--1274 (2010; Zbl 1242.76214) Full Text: DOI
Carpenter, Mark H.; Nordström, Jan; Gottlieb, David Revisiting and extending interface penalties for multi-domain summation-by-parts operators. (English) Zbl 1203.65176 J. Sci. Comput. 45, No. 1-3, 118-150 (2010). MSC: 65M60 65M06 65M12 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., J. Sci. Comput. 45, No. 1--3, 118--150 (2010; Zbl 1203.65176) Full Text: DOI Link
Lindström, Jens; Nordström, Jan A stable and high-order accurate conjugate heat transfer problem. (English) Zbl 1346.80004 J. Comput. Phys. 229, No. 14, 5440-5456 (2010). MSC: 80A20 80M20 PDFBibTeX XMLCite \textit{J. Lindström} and \textit{J. Nordström}, J. Comput. Phys. 229, No. 14, 5440--5456 (2010; Zbl 1346.80004) Full Text: DOI
Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan Numerical analysis of the Burgers’ equation in the presence of uncertainty. (English) Zbl 1177.65017 J. Comput. Phys. 228, No. 22, 8394-8412 (2009). MSC: 65C30 60H15 35Q53 35R60 65P20 65M60 65M12 PDFBibTeX XMLCite \textit{P. Pettersson} et al., J. Comput. Phys. 228, No. 22, 8394--8412 (2009; Zbl 1177.65017) Full Text: DOI Link
Nordström, Jan; Gong, Jing; van der Weide, Edwin; Svärd, Magnus A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. (English) Zbl 1375.76036 J. Comput. Phys. 228, No. 24, 9020-9035 (2009). MSC: 76D05 76M20 65M06 PDFBibTeX XMLCite \textit{J. Nordström} et al., J. Comput. Phys. 228, No. 24, 9020--9035 (2009; Zbl 1375.76036) Full Text: DOI
Svärd, Magnus; Nordström, Jan A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions. (English) Zbl 1260.76021 J. Comput. Phys. 227, No. 10, 4805-4824 (2008). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 227, No. 10, 4805--4824 (2008; Zbl 1260.76021) Full Text: DOI
Nordström, Jan Error bounded schemes for time-dependent hyperbolic problems. (English) Zbl 1171.35308 SIAM J. Sci. Comput. 30, No. 1, 46-59 (2007). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 35A35 65M06 65M12 65M15 35L50 PDFBibTeX XMLCite \textit{J. Nordström}, SIAM J. Sci. Comput. 30, No. 1, 46--59 (2007; Zbl 1171.35308) Full Text: DOI
Svärd, Magnus; Carpenter, Mark H.; Nordström, Jan A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions. (English) Zbl 1118.76047 J. Comput. Phys. 225, No. 1, 1020-1038 (2007). MSC: 76M20 76N15 65M12 PDFBibTeX XMLCite \textit{M. Svärd} et al., J. Comput. Phys. 225, No. 1, 1020--1038 (2007; Zbl 1118.76047) Full Text: DOI
Nordström, Jan Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. (English) Zbl 1109.65076 J. Sci. Comput. 29, No. 3, 375-404 (2006). MSC: 65M06 35L45 65M12 65M15 PDFBibTeX XMLCite \textit{J. Nordström}, J. Sci. Comput. 29, No. 3, 375--404 (2006; Zbl 1109.65076) Full Text: DOI Link
Mattsson, Ken; Nordström, Jan High order finite difference methods for wave propagation in discontinuous media. (English) Zbl 1158.65333 J. Comput. Phys. 220, No. 1, 249-269 (2006). MSC: 65M06 PDFBibTeX XMLCite \textit{K. Mattsson} and \textit{J. Nordström}, J. Comput. Phys. 220, No. 1, 249--269 (2006; Zbl 1158.65333) Full Text: DOI
Svärd, Magnus; Nordström, Jan On the order of accuracy for difference approximations of initial-boundary value problems. (English) Zbl 1123.65088 J. Comput. Phys. 218, No. 1, 333-352 (2006). Reviewer: S. Burys (Kraków) MSC: 65M06 65M20 65M12 35L05 35K15 35M20 35Q30 35Q53 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, J. Comput. Phys. 218, No. 1, 333--352 (2006; Zbl 1123.65088) Full Text: DOI
Svärd, Magnus; Gong, Jing; Nordström, Jan Stable artificial dissipation operators for finite volume schemes on unstructured grids. (English) Zbl 1103.65096 Appl. Numer. Math. 56, No. 12, 1481-1490 (2006). MSC: 65M06 65M12 35K05 35L45 35Q53 PDFBibTeX XMLCite \textit{M. Svärd} et al., Appl. Numer. Math. 56, No. 12, 1481--1490 (2006; Zbl 1103.65096) Full Text: DOI Link
Nordström, Jan; Gong, Jing A stable hybrid method for hyperbolic problems. (English) Zbl 1083.65085 J. Comput. Phys. 212, No. 2, 436-453 (2006). MSC: 65M12 65M06 35L45 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{J. Gong}, J. Comput. Phys. 212, No. 2, 436--453 (2006; Zbl 1083.65085) Full Text: DOI
Nordström, Jan; Gong, Jing A stable and efficient hybrid method for aeroacoustic sound generation and propagation. (English) Zbl 1102.76043 C. R., Méc., Acad. Sci. Paris 333, No. 9, 713-718 (2005). MSC: 76M20 76M12 76Q05 65M12 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{J. Gong}, C. R., Méc., Acad. Sci. Paris 333, No. 9, 713--718 (2005; Zbl 1102.76043) Full Text: DOI
Svärd, Magnus; Mattsson, Ken; Nordström, Jan Steady-state computations using summation-by-parts operators. (English) Zbl 1080.76044 J. Sci. Comput. 24, No. 1, 79-95 (2005). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{M. Svärd} et al., J. Sci. Comput. 24, No. 1, 79--95 (2005; Zbl 1080.76044) Full Text: DOI Link
Nordström, Jan; Svärd, Magnus Well-posed boundary conditions for the Navier-Stokes equations. (English) Zbl 1319.35163 SIAM J. Numer. Anal. 43, No. 3, 1231-1255 (2005). MSC: 35Q30 35B30 65M99 76N99 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{M. Svärd}, SIAM J. Numer. Anal. 43, No. 3, 1231--1255 (2005; Zbl 1319.35163) Full Text: DOI Link
Mattsson, Ken; Nordström, Jan Summation by parts operators for finite difference approximations of second derivatives. (English) Zbl 1071.65025 J. Comput. Phys. 199, No. 2, 503-540 (2004); erratum ibid. 351, 535 (2017). Reviewer: J. B. Butler jun. (Portland) MSC: 65D25 65M15 65M06 35M10 35Q30 65M12 PDFBibTeX XMLCite \textit{K. Mattsson} and \textit{J. Nordström}, J. Comput. Phys. 199, No. 2, 503--540 (2004; Zbl 1071.65025) Full Text: DOI
Svärd, Magnus; Nordström, Jan Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids. (English) Zbl 1065.65111 Appl. Numer. Math. 51, No. 1, 101-125 (2004). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65M06 35K05 35L05 65M50 65M12 PDFBibTeX XMLCite \textit{M. Svärd} and \textit{J. Nordström}, Appl. Numer. Math. 51, No. 1, 101--125 (2004; Zbl 1065.65111) Full Text: DOI
Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. (English) Zbl 1019.65066 Appl. Numer. Math. 45, No. 4, 453-473 (2003). MSC: 65M06 65M12 65M50 35L45 PDFBibTeX XMLCite \textit{J. Nordström} et al., Appl. Numer. Math. 45, No. 4, 453--473 (2003; Zbl 1019.65066) Full Text: DOI
Nordström, Jan; Carpenter, Mark H. High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates. (English) Zbl 0987.65081 J. Comput. Phys. 173, No. 1, 149-174 (2001). MSC: 65M06 65Z05 35L45 35Q60 35Q35 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{M. H. Carpenter}, J. Comput. Phys. 173, No. 1, 149--174 (2001; Zbl 0987.65081) Full Text: DOI Link