Edit Profile (opens in new tab) Nordström, Jan Co-Author Distance Author ID: nordstrom.jan Published as: Nordström, Jan; Nordstrom, Jan; Nordström, J. more...less Homepage: https://liu.se/en/employee/janno11 External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 174 Publications since 1989, including 1 Book and 10 Additional arXiv Preprints Co-Authors: 74 Co-Authors with 157 Joint Publications 1,078 Co-Co-Authors all top 5 Co-Authors 17 single-authored 17 Svärd, Magnus 13 Lundquist, Tomas 10 Carpenter, Mark H. 9 Laurén, Fredrik 8 Berg, Jens 8 Gong, Jing 8 Iaccarino, Gianluca 8 Linders, Viktor 8 Mattsson, Ken 8 Pettersson, Per 7 Wahlsten, Markus 6 Ålund, Oskar 6 Eriksson, Sofia 6 Ghasemi, Fatemeh 6 Malan, Arnaud George 6 Öffner, Philipp 5 Dunham, Eric M. 5 Nikkar, Samira 5 O’Reilly, Ossian 5 Ruggiu, Andrea Alessandro 4 Abbas, Qaisar 4 Frenander, Hannes 4 Gassner, Gregor J. 4 Glaubitz, Jan 4 Kopriva, David Alan 4 La Cognata, Cristina 4 Rothkopf, Alexander 3 Doostan, Alireza 3 Eliasson, Peter 3 Erickson, Brittany A. 3 Frankel, Steven H. 3 Gottlieb, David I. 3 Kozdon, Jeremy Edward 3 van der Weide, Edwin 3 Winters, Andrew R. 2 Abgrall, Rémi 2 Amsallem, David 2 Hagstrom, Thomas M. 2 Klein, Simon-Christian 2 Tokareva, Svetlana A. 1 Abbas Haghshenas, S. 1 Adamsson, Carl 1 Akamatsu, Yukinao 1 Berggren, Martin 1 Björck, Martin 1 Delorme, Yann T. 1 Dong, Suchuan 1 Efraimsson, Gunilla 1 Ekström, Sven-Erik 1 Fisher, Travis C. 1 Forsberg, Karl 1 Ghader, Sarmad 1 Gustafsson, Bertil 1 Gustafsson, Rikard 1 Hadi Shamsnia, S. 1 Ham, Frank E. 1 Henningson, Dan S. 1 Jacobs, Byron A. 1 Kreiss, Gunilla 1 Kupiainen, Marco 1 Kupianen, Marco 1 Lönn, Björn 1 Lundberg, Johan 1 Miura, Takahiro 1 Nchupang, Mojalefa P. 1 Nordin, Niklas 1 Pettersson, Mass Per 1 Puri, Kunal 1 Ranocha, Hendrik 1 Shoeybi, Mohammad 1 Singh, Vikram 1 Sorgentone, Chiara 1 Weinerfelt, Per Å. 1 Yamaleev, Nail K. all top 5 Serials 76 Journal of Computational Physics 23 Journal of Scientific Computing 10 Applied Numerical Mathematics 9 Computers and Fluids 7 SIAM Journal on Numerical Analysis 6 SIAM Journal on Scientific Computing 5 BIT 4 Communications in Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational and Applied Mathematics 1 AIAA Journal 1 Journal of Fluid Mechanics 1 Wave Motion 1 Mathematics of Computation 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Foundations of Computational Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Mathematical Engineering 1 Communications on Applied Mathematics and Computation all top 5 Fields 139 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 65 Fluid mechanics (76-XX) 7 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 2,741 times in 823 Documents Cited by ▼ Year ▼ Review of summation-by-parts schemes for initial-boundary-value problems. Zbl 1349.65336 Svärd, Magnus; Nordström, Jan 222 2014 Summation by parts operators for finite difference approximations of second derivatives. Zbl 1071.65025 Mattsson, Ken; Nordström, Jan 177 2004 A stable and conservative interface treatment of arbitrary spatial accuracy. Zbl 0921.65059 Carpenter, Mark H.; Nordström, Jan; Gottlieb, David 165 1999 On the order of accuracy for difference approximations of initial-boundary value problems. Zbl 1123.65088 Svärd, Magnus; Nordström, Jan 95 2006 A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions. Zbl 1118.76047 Svärd, Magnus; Carpenter, Mark H.; Nordström, Jan 92 2007 Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions. Zbl 1284.65102 Fisher, Travis C.; Carpenter, Mark H.; Nordström, Jan; Yamaleev, Nail K.; Swanson, Charles 86 2013 A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions. Zbl 1260.76021 Svärd, Magnus; Nordström, Jan 81 2008 Stable and accurate artificial dissipation. Zbl 1085.76050 Mattsson, Ken; Svärd, Magnus; Nordström, Jan 75 2004 Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation. Zbl 1109.65076 Nordström, Jan 73 2006 Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations. Zbl 0921.76111 Nordström, Jan; Carpenter, Mark H. 70 1999 High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates. Zbl 0987.65081 Nordström, Jan; Carpenter, Mark H. 66 2001 Well-posed boundary conditions for the Navier-Stokes equations. Zbl 1319.35163 Nordström, Jan; Svärd, Magnus 65 2005 Finite volume methods, unstructured meshes and strict stability for hyperbolic problems. Zbl 1019.65066 Nordström, Jan; Forsberg, Karl; Adamsson, Carl; Eliasson, Peter 64 2003 A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. Zbl 1375.76036 Nordström, Jan; Gong, Jing; van der Weide, Edwin; Svärd, Magnus 60 2009 The fringe region technique and the Fourier method used in the direct numerical simulation of spatially evolving viscous flows. Zbl 0930.35015 Nordström, Jan; Nordin, Niklas; Henningson, Dan 49 1999 Summation-by-parts in time. Zbl 1349.65399 Nordström, Jan; Lundquist, Tomas 49 2013 Revisiting and extending interface penalties for multi-domain summation-by-parts operators. Zbl 1203.65176 Carpenter, Mark H.; Nordström, Jan; Gottlieb, David 42 2010 A roadmap to well posed and stable problems in computational physics. Zbl 06849361 Nordström, Jan 38 2017 High-order accurate computations for unsteady aerodynamics. Zbl 1177.76261 Mattsson, Ken; Svärd, Magnus; Carpenter, Mark; Nordström, Jan 37 2007 Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 36 2020 Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations. Zbl 1245.76020 Nordström, Jan; Eriksson, Sofia; Eliasson, Peter 34 2012 The SBP-SAT technique for initial value problems. Zbl 1349.65550 Lundquist, Tomas; Nordström, Jan 34 2014 High order finite difference methods for wave propagation in discontinuous media. Zbl 1158.65333 Mattsson, Ken; Nordström, Jan 32 2006 Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods. Zbl 1278.86009 Kozdon, Jeremy E.; Dunham, Eric M.; Nordström, Jan 29 2013 A stochastic Galerkin method for the Euler equations with roe variable transformation. Zbl 1349.76251 Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan 28 2014 Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations. Zbl 1118.76046 Nordström, Jan; Mattsson, Ken; Swanson, Charles 27 2007 Error bounded schemes for time-dependent hyperbolic problems. Zbl 1171.35308 Nordström, Jan 27 2007 Steady-state computations using summation-by-parts operators. Zbl 1080.76044 Svärd, Magnus; Mattsson, Ken; Nordström, Jan 26 2005 High order finite difference approximations of electromagnetic wave propagation close to material discontinuities. Zbl 1029.78012 Nordström, Jan; Gustafsson, Rikard 26 2003 Numerical analysis of the Burgers’ equation in the presence of uncertainty. Zbl 1177.65017 Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan 25 2009 Interaction of waves with frictional interfaces using summation-by-parts difference operators: weak enforcement of nonlinear boundary conditions. Zbl 1325.74161 Kozdon, Jeremy E.; Dunham, Eric M.; Nordström, Jan 24 2012 Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties. Zbl 1325.76004 Pettersson, Mass Per; Iaccarino, Gianluca; Nordström, Jan 24 2015 Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. Zbl 1284.65098 Berg, Jens; Nordström, Jan 24 2012 Finite volume approximations and strict stability for hyperbolic problems. Zbl 0985.65103 Nordström, Jan; Björck, Martin 23 2001 Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids. Zbl 1065.65111 Svärd, Magnus; Nordström, Jan 23 2004 The use of characteristic boundary conditions for the Navier-Stokes equations. Zbl 0845.76075 Nordström, Jan 22 1995 A stable hybrid method for hyperbolic problems. Zbl 1083.65085 Nordström, Jan; Gong, Jing 22 2006 The influence of open boundary conditions on the convergence to steady state for the Navier-Stokes equations. Zbl 0679.76039 Nordström, Jan 21 1989 On the convergence rates of energy-stable finite-difference schemes. Zbl 1453.65233 Svärd, Magnus; Nordström, Jan 21 2019 A stable and high-order accurate conjugate heat transfer problem. Zbl 1346.80004 Lindström, Jens; Nordström, Jan 19 2010 Stable Robin solid wall boundary conditions for the Navier-Stokes equations. Zbl 1280.76023 Berg, Jens; Nordström, Jan 18 2011 A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. Zbl 1391.76560 Lundquist, Tomas; Malan, Arnaud; Nordström, Jan 18 2018 Energy stable boundary conditions for the nonlinear incompressible Navier-Stokes equations. Zbl 1405.65107 Nordström, Jan; La Cognata, Cristina 18 2019 Uniformly best wavenumber approximations by spatial central difference operators. Zbl 1349.65566 Linders, Viktor; Nordström, Jan 17 2015 Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains. Zbl 1349.65326 Nikkar, Samira; Nordström, Jan 17 2015 Energy stable and high-order-accurate finite difference methods on staggered grids. Zbl 1380.65173 O’Reilly, Ossian; Lundquist, Tomas; Dunham, Eric M.; Nordström, Jan 17 2017 Interface procedures for finite difference approximations of the advection-diffusion equation. Zbl 1231.65141 Gong, Jing; Nordström, Jan 16 2011 On the order of accuracy of finite difference operators on diagonal norm based summation-by-parts form. Zbl 1448.65192 Linders, Viktor; Lundquist, Tomas; Nordström, Jan 16 2018 On the impact of boundary conditions on dual consistent finite difference discretizations. Zbl 1286.65107 Berg, Jens; Nordström, Jan 16 2013 Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. Zbl 1371.65097 Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. 13 2017 An accuracy evaluation of unstructured node-centred finite volume methods. Zbl 1139.76040 Svärd, Magnus; Gong, Jing; Nordström, Jan 13 2008 A simple and efficient incompressible Navier-Stokes solver for unsteady complex geometry flows on truncated domains. Zbl 1390.76562 Delorme, Yann T.; Puri, Kunal; Nordstrom, Jan; Linders, Viktor; Dong, Suchuan; Frankel, Steven H. 13 2017 A stable and conservative method for locally adapting the design order of finite difference schemes. Zbl 1220.65112 Eriksson, Sofia; Abbas, Qaisar; Nordström, Jan 12 2011 Stable artificial dissipation operators for finite volume schemes on unstructured grids. Zbl 1103.65096 Svärd, Magnus; Gong, Jing; Nordström, Jan 12 2006 Encapsulated high order difference operators on curvilinear non-conforming grids. Zbl 1451.65103 Ålund, Oskar; Nordström, Jan 12 2019 On conservation and stability properties for summation-by-parts schemes. Zbl 1380.65172 Nordström, Jan; Ruggiu, Andrea A. 11 2017 Summation-by-parts in time: the second derivative. Zbl 1382.65278 Nordström, Jan; Lundquist, Tomas 10 2016 Accurate solutions of the Navier-Stokes equations despite unknown outflow boundary data. Zbl 0842.76065 Nordström, Jan 9 1995 A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator. Zbl 1349.76534 Sorgentone, Chiara; La Cognata, Cristina; Nordström, Jan 9 2015 Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations. Zbl 1349.76431 Berg, Jens; Nordström, Jan 9 2014 Exact non-reflecting boundary conditions revisited: well-posedness and stability. Zbl 1414.65013 Eriksson, Sofia; Nordström, Jan 9 2017 Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling. Zbl 1365.76276 Nordström, Jan; Berg, Jens 9 2013 Properties of Runge-Kutta-summation-by-parts methods. Zbl 07507243 Linders, Viktor; Nordström, Jan; Frankel, Steven H. 9 2020 Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations. Zbl 1351.35278 Nordström, Jan; Wahlsten, Markus 8 2015 A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. Zbl 1351.76020 Pettersson, Per; Nordström, Jan; Doostan, Alireza 8 2016 Fluid structure interaction problems: the necessity of a well posed, stable and accurate formulation. Zbl 1364.74037 Nordstrom, Jan; Eriksson, Sofia 8 2010 Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems. Zbl 1321.86003 Erickson, Brittany A.; Nordström, Jan 8 2014 On pseudo-spectral time discretizations in summation-by-parts form. Zbl 1395.65107 Ruggiu, Andrea A.; Nordström, Jan 8 2018 A stable and efficient hybrid scheme for viscous problems in complex geometries. Zbl 1121.76041 Gong, Jing; Nordström, Jan 7 2007 Analysis of the order of accuracy for node-centered finite volume schemes. Zbl 1173.65055 Eriksson, Sofia; Nordström, Jan 7 2009 A hybrid method for unsteady inviscid fluid flow. Zbl 1242.76181 Nordström, Jan; Ham, Frank; Shoeybi, Mohammad; Van Der Weide, Edwin; Svärd, Magnus; Mattsson, Ken; Iaccarino, Gianluca; Gong, Jing 7 2009 High-order accurate difference schemes for the Hodgkin-Huxley equations. Zbl 1349.92037 Amsallem, David; Nordström, Jan 7 2013 Summation-by-parts operators with minimal dispersion error for coarse grid flow calculations. Zbl 1376.76039 Linders, Viktor; Kupiainen, Marco; Nordström, Jan 7 2017 On long time error bounds for the wave equation on second order form. Zbl 1405.65099 Nordström, Jan; Frenander, Hannes 7 2018 The number of boundary conditions for initial boundary value problems. Zbl 1450.35126 Nordström, Jan; Hagstrom, Thomas M. 7 2020 Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 7 2023 A stable and efficient hybrid method for aeroacoustic sound generation and propagation. Zbl 1102.76043 Nordström, Jan; Gong, Jing 6 2005 A computational study of vortex-airfoil interaction using high-order finite difference methods. Zbl 1242.76214 Svärd, Magnus; Lundberg, Johan; Nordström, Jan 6 2010 Coupling requirements for multiphysics problems posed on two domains. Zbl 1378.65158 Ghasemi, Fatemeh; Nordström, Jan 6 2017 The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations. Zbl 1436.76006 Nordström, Jan; Laurén, Fredrik 6 2020 Well-posed and stable transmission problems. Zbl 1395.65052 Nordström, Jan; Linders, Viktor 6 2018 On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity. Zbl 1286.65138 Pettersson, Per; Doostan, Alireza; Nordström, Jan 6 2013 Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains. Zbl 1251.65120 Berg, Jens; Nordström, Jan 5 2012 A new multigrid formulation for high order finite difference methods on summation-by-parts form. Zbl 1422.65442 Ruggiu, Andrea A.; Weinerfelt, Per; Nordström, Jan 5 2018 Simulation of earthquake rupture dynamics in complex geometries using coupled finite difference and finite volume methods. Zbl 1373.86011 O’Reilly, Ossian; Nordström, Jan; Kozdon, Jeremy E.; Dunham, Eric M. 5 2015 Well-posedness, stability and conservation for a discontinuous interface problem. Zbl 1341.65036 La Cognata, Cristina; Nordström, Jan 5 2016 Summation-by-parts operators for general function spaces. Zbl 07679126 Glaubitz, Jan; Nordström, Jan; Öffner, Philipp 5 2023 A multi-domain summation-by-parts formulation for complex geometries. Zbl 07536769 Lundquist, Tomas; Laurén, Fredrik; Nordström, Jan 5 2022 A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions. Zbl 1471.65083 Ranocha, Hendrik; Nordström, Jan 5 2021 Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 1476.65317 Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 5 2021 Stable and accurate filtering procedures. Zbl 1434.65126 Lundquist, Tomas; Nordström, Jan 5 2020 Elimination of first order errors in shock calculations. Zbl 0991.35050 Kreiss, Gunilla; Efraimsson, Gunilla; Nordström, Jan 4 2001 On flux-extrapolation at supersonic outflow boundaries. Zbl 0923.76184 Nordström, Jan 4 1999 Extrapolation procedures at outflow boundaries for the Navier-Stokes equations. Zbl 0725.76068 Gustafsson, Bertil; Nordström, Jan 4 1990 A flexible boundary procedure for hyperbolic problems: multiple penalty terms applied in a domain. Zbl 1388.65064 Nordström, Jan; Abbas, Qaisar; Erickson, Brittany A.; Frenander, Hannes 4 2014 On the relation between conservation and dual consistency for summation-by-parts schemes. Zbl 1380.35124 Nordström, Jan; Ghasemi, Fatemeh 4 2017 Energy stable model reduction of neurons by nonnegative discrete empirical interpolation. Zbl 1359.37145 Amsallem, David; Nordström, Jan 4 2016 Efficient and error minimized coupling procedures for unstructured and moving meshes. Zbl 1453.65273 Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan 4 2020 An intrusive hybrid method for discontinuous two-phase flow under uncertainty. Zbl 1290.76158 Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan 4 2013 Neural network enhanced computations on coarse grids. Zbl 07508480 Nordström, Jan; Ålund, Oskar 4 2021 Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability. Zbl 1524.65498 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 7 2023 Summation-by-parts operators for general function spaces. Zbl 07679126 Glaubitz, Jan; Nordström, Jan; Öffner, Philipp 5 2023 Multi-dimensional summation-by-parts operators for general function spaces: theory and construction. Zbl 07771286 Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp 2 2023 A new variational discretization technique for initial value problems bypassing governing equations. Zbl 07652824 Rothkopf, Alexander; Nordström, Jan 1 2023 A multi-domain summation-by-parts formulation for complex geometries. Zbl 07536769 Lundquist, Tomas; Laurén, Fredrik; Nordström, Jan 5 2022 On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation. Zbl 07516816 Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. 3 2022 Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? Zbl 07518085 Nordström, Jan 3 2022 A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. Zbl 07536758 Nordström, Jan; Winters, Andrew R. 3 2022 Energy stable wall modeling for the Navier-Stokes equations. Zbl 1515.76038 Laurén, Fredrik; Nordström, Jan 1 2022 A skew-symmetric energy and entropy stable formulation of the compressible Euler equations. Zbl 07599607 Nordström, Jan 1 2022 On the theoretical foundation of overset grid methods for hyperbolic problems. II: Entropy bounded formulations for nonlinear conservation laws. Zbl 07605591 Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 1 2022 Provably non-stiff implementation of weak coupling conditions for hyperbolic problems. Zbl 1492.65241 O’Reilly, Ossian; Nordström, Jan 1 2022 A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions. Zbl 1471.65083 Ranocha, Hendrik; Nordström, Jan 5 2021 Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps. Zbl 1476.65317 Kopriva, David A.; Gassner, Gregor J.; Nordström, Jan 5 2021 Neural network enhanced computations on coarse grids. Zbl 07508480 Nordström, Jan; Ålund, Oskar 4 2021 Convergence of energy stable finite-difference schemes with interfaces. Zbl 07500752 Svärd, Magnus; Nordström, Jan 3 2021 Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations. Zbl 1521.76366 Singh, Vikram; Frankel, Steven; Nordström, Jan 1 2021 Spectral properties of the incompressible Navier-Stokes equations. Zbl 07500751 Laurén, Fredrik; Nordström, Jan 1 2021 Stable dynamical adaptive mesh refinement. Zbl 1459.76093 Lundquist, Tomas; Nordström, Jan; Malan, Arnaud 1 2021 Learning to differentiate. Zbl 07508475 Ålund, Oskar; Iaccarino, Gianluca; Nordström, Jan 1 2021 Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems. Zbl 1456.65100 Abgrall, R.; Nordström, J.; Öffner, P.; Tokareva, S. 36 2020 Properties of Runge-Kutta-summation-by-parts methods. Zbl 07507243 Linders, Viktor; Nordström, Jan; Frankel, Steven H. 9 2020 The number of boundary conditions for initial boundary value problems. Zbl 1450.35126 Nordström, Jan; Hagstrom, Thomas M. 7 2020 The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations. Zbl 1436.76006 Nordström, Jan; Laurén, Fredrik 6 2020 Stable and accurate filtering procedures. Zbl 1434.65126 Lundquist, Tomas; Nordström, Jan 5 2020 Efficient and error minimized coupling procedures for unstructured and moving meshes. Zbl 1453.65273 Lundquist, Tomas; Malan, Arnaud G.; Nordström, Jan 4 2020 The relation between primal and dual boundary conditions for hyperbolic systems of equations. Zbl 1453.65230 Nordström, Jan; Ghasemi, Fatemeh 2 2020 On conservation and dual consistency for summation-by-parts based approximations of parabolic problems. Zbl 1436.65131 Ghasemi, Fatemeh; Nordström, Jan 1 2020 Accurate solution-adaptive finite difference schemes for coarse and fine grids. Zbl 1436.65105 Linders, Viktor; Carpenter, Mark H.; Nordström, Jan 1 2020 Multigrid schemes for high order discretizations of hyperbolic problems. Zbl 1440.65127 Ruggiu, Andrea A.; Nordström, Jan 1 2020 On the convergence rates of energy-stable finite-difference schemes. Zbl 1453.65233 Svärd, Magnus; Nordström, Jan 21 2019 Energy stable boundary conditions for the nonlinear incompressible Navier-Stokes equations. Zbl 1405.65107 Nordström, Jan; La Cognata, Cristina 18 2019 Encapsulated high order difference operators on curvilinear non-conforming grids. Zbl 1451.65103 Ålund, Oskar; Nordström, Jan 12 2019 Dual time-stepping using second derivatives. Zbl 1423.76350 Nordström, Jan; Ruggiu, Andrea A. 2 2019 Level set methods for stochastic discontinuity detection in nonlinear problems. Zbl 1452.65020 Pettersson, Per; Doostan, Alireza; Nordström, Jan 2 2019 On stochastic investigation of flow problems using the viscous Burgers’ equation as an example. Zbl 1466.65148 Wahlsten, Markus; Nordström, Jan 1 2019 A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains. Zbl 1416.76186 Nikkar, Samira; Nordström, Jan 1 2019 A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. Zbl 1391.76560 Lundquist, Tomas; Malan, Arnaud; Nordström, Jan 18 2018 On the order of accuracy of finite difference operators on diagonal norm based summation-by-parts form. Zbl 1448.65192 Linders, Viktor; Lundquist, Tomas; Nordström, Jan 16 2018 On pseudo-spectral time discretizations in summation-by-parts form. Zbl 1395.65107 Ruggiu, Andrea A.; Nordström, Jan 8 2018 On long time error bounds for the wave equation on second order form. Zbl 1405.65099 Nordström, Jan; Frenander, Hannes 7 2018 Well-posed and stable transmission problems. Zbl 1395.65052 Nordström, Jan; Linders, Viktor 6 2018 A new multigrid formulation for high order finite difference methods on summation-by-parts form. Zbl 1422.65442 Ruggiu, Andrea A.; Weinerfelt, Per; Nordström, Jan 5 2018 Response to “Convergence of summation-by-parts finite difference methods for the wave equation”. Zbl 1398.65220 Svärd, Magnus; Nordström, Jan 3 2018 Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative. Zbl 1390.65067 Frenander, Hannes; Nordström, Jan 2 2018 Practical inlet boundary conditions for internal flow calculations. Zbl 1410.76295 Laurén, Fredrik; Nordström, Jan 2 2018 A stable domain decomposition technique for advection-diffusion problems. Zbl 1407.65174 Ålund, Oskar; Nordström, Jan 2 2018 Finite difference schemes with transferable interfaces for parabolic problems. Zbl 1416.65259 Eriksson, Sofia; Nordström, Jan 2 2018 Corrigendum to: “On the relation between conservation and dual consistency for summation-by-parts schemes”. Zbl 1390.35185 Nordström, Jan; Ghasemi, Fatemeh 1 2018 The effect of uncertain geometries on advection-diffusion of scalar quantities. Zbl 1398.35103 Wahlsten, Markus; Nordström, Jan 1 2018 A roadmap to well posed and stable problems in computational physics. Zbl 06849361 Nordström, Jan 38 2017 Energy stable and high-order-accurate finite difference methods on staggered grids. Zbl 1380.65173 O’Reilly, Ossian; Lundquist, Tomas; Dunham, Eric M.; Nordström, Jan 17 2017 Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. Zbl 1371.65097 Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. 13 2017 A simple and efficient incompressible Navier-Stokes solver for unsteady complex geometry flows on truncated domains. Zbl 1390.76562 Delorme, Yann T.; Puri, Kunal; Nordstrom, Jan; Linders, Viktor; Dong, Suchuan; Frankel, Steven H. 13 2017 On conservation and stability properties for summation-by-parts schemes. Zbl 1380.65172 Nordström, Jan; Ruggiu, Andrea A. 11 2017 Exact non-reflecting boundary conditions revisited: well-posedness and stability. Zbl 1414.65013 Eriksson, Sofia; Nordström, Jan 9 2017 Summation-by-parts operators with minimal dispersion error for coarse grid flow calculations. Zbl 1376.76039 Linders, Viktor; Kupiainen, Marco; Nordström, Jan 7 2017 Coupling requirements for multiphysics problems posed on two domains. Zbl 1378.65158 Ghasemi, Fatemeh; Nordström, Jan 6 2017 On the relation between conservation and dual consistency for summation-by-parts schemes. Zbl 1380.35124 Nordström, Jan; Ghasemi, Fatemeh 4 2017 Simulation of wave propagation along fluid-filled cracks using high-order summation-by-parts operators and implicit-explicit time stepping. Zbl 1369.86008 O’Reilly, Ossian; Dunham, Eric M.; Nordström, Jan 3 2017 Constructing non-reflecting boundary conditions using summation-by-parts in time. Zbl 1380.65153 Frenander, Hannes; Nordström, Jan 2 2017 A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces. Zbl 1380.65171 Nikkar, Samira; Nordström, Jan 1 2017 Summation-by-parts in time: the second derivative. Zbl 1382.65278 Nordström, Jan; Lundquist, Tomas 10 2016 A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. Zbl 1351.76020 Pettersson, Per; Nordström, Jan; Doostan, Alireza 8 2016 Well-posedness, stability and conservation for a discontinuous interface problem. Zbl 1341.65036 La Cognata, Cristina; Nordström, Jan 5 2016 Energy stable model reduction of neurons by nonnegative discrete empirical interpolation. Zbl 1359.37145 Amsallem, David; Nordström, Jan 4 2016 Efficient fully discrete summation-by-parts schemes for unsteady flow problems. Zbl 1457.65056 Lundquist, Tomas; Nordström, Jan 2 2016 Hyperbolic systems of equations posed on erroneous curved domains. Zbl 1351.35093 Nordström, Jan; Nikkar, Samira 1 2016 Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties. Zbl 1325.76004 Pettersson, Mass Per; Iaccarino, Gianluca; Nordström, Jan 24 2015 Uniformly best wavenumber approximations by spatial central difference operators. Zbl 1349.65566 Linders, Viktor; Nordström, Jan 17 2015 Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains. Zbl 1349.65326 Nikkar, Samira; Nordström, Jan 17 2015 A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator. Zbl 1349.76534 Sorgentone, Chiara; La Cognata, Cristina; Nordström, Jan 9 2015 Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations. Zbl 1351.35278 Nordström, Jan; Wahlsten, Markus 8 2015 Simulation of earthquake rupture dynamics in complex geometries using coupled finite difference and finite volume methods. Zbl 1373.86011 O’Reilly, Ossian; Nordström, Jan; Kozdon, Jeremy E.; Dunham, Eric M. 5 2015 Review of summation-by-parts schemes for initial-boundary-value problems. Zbl 1349.65336 Svärd, Magnus; Nordström, Jan 222 2014 The SBP-SAT technique for initial value problems. Zbl 1349.65550 Lundquist, Tomas; Nordström, Jan 34 2014 A stochastic Galerkin method for the Euler equations with roe variable transformation. Zbl 1349.76251 Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan 28 2014 Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations. Zbl 1349.76431 Berg, Jens; Nordström, Jan 9 2014 Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems. Zbl 1321.86003 Erickson, Brittany A.; Nordström, Jan 8 2014 A flexible boundary procedure for hyperbolic problems: multiple penalty terms applied in a domain. Zbl 1388.65064 Nordström, Jan; Abbas, Qaisar; Erickson, Brittany A.; Frenander, Hannes 4 2014 Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions. Zbl 1284.65102 Fisher, Travis C.; Carpenter, Mark H.; Nordström, Jan; Yamaleev, Nail K.; Swanson, Charles 86 2013 Summation-by-parts in time. Zbl 1349.65399 Nordström, Jan; Lundquist, Tomas 49 2013 Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods. Zbl 1278.86009 Kozdon, Jeremy E.; Dunham, Eric M.; Nordström, Jan 29 2013 On the impact of boundary conditions on dual consistent finite difference discretizations. Zbl 1286.65107 Berg, Jens; Nordström, Jan 16 2013 Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling. Zbl 1365.76276 Nordström, Jan; Berg, Jens 9 2013 High-order accurate difference schemes for the Hodgkin-Huxley equations. Zbl 1349.92037 Amsallem, David; Nordström, Jan 7 2013 On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity. Zbl 1286.65138 Pettersson, Per; Doostan, Alireza; Nordström, Jan 6 2013 An intrusive hybrid method for discontinuous two-phase flow under uncertainty. Zbl 1290.76158 Pettersson, Per; Iaccarino, Gianluca; Nordström, Jan 4 2013 Linear and nonlinear boundary conditions for wave propagation problems. Zbl 1260.76020 Nordström, Jan 1 2013 Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations. Zbl 1245.76020 Nordström, Jan; Eriksson, Sofia; Eliasson, Peter 34 2012 Interaction of waves with frictional interfaces using summation-by-parts difference operators: weak enforcement of nonlinear boundary conditions. Zbl 1325.74161 Kozdon, Jeremy E.; Dunham, Eric M.; Nordström, Jan 24 2012 Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. Zbl 1284.65098 Berg, Jens; Nordström, Jan 24 2012 Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains. Zbl 1251.65120 Berg, Jens; Nordström, Jan 5 2012 Energy decay of vortices in viscous fluids: an applied mathematics view. Zbl 1275.76176 Nordström, Jan; Lönn, Björn 3 2012 Stable Robin solid wall boundary conditions for the Navier-Stokes equations. Zbl 1280.76023 Berg, Jens; Nordström, Jan 18 2011 Interface procedures for finite difference approximations of the advection-diffusion equation. Zbl 1231.65141 Gong, Jing; Nordström, Jan 16 2011 A stable and conservative method for locally adapting the design order of finite difference schemes. Zbl 1220.65112 Eriksson, Sofia; Abbas, Qaisar; Nordström, Jan 12 2011 Revisiting and extending interface penalties for multi-domain summation-by-parts operators. Zbl 1203.65176 Carpenter, Mark H.; Nordström, Jan; Gottlieb, David 42 2010 A stable and high-order accurate conjugate heat transfer problem. Zbl 1346.80004 Lindström, Jens; Nordström, Jan 19 2010 Fluid structure interaction problems: the necessity of a well posed, stable and accurate formulation. Zbl 1364.74037 Nordstrom, Jan; Eriksson, Sofia 8 2010 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,073 Authors 134 Nordström, Jan 36 Mattsson, Ken 33 Svärd, Magnus 32 Gassner, Gregor J. 28 Carpenter, Mark H. 26 Ranocha, Hendrik 25 Del Rey Fernández, David C. 22 Öffner, Philipp 19 Winters, Andrew R. 19 Zingg, David W. 16 Henningson, Dan S. 16 Kopriva, David Alan 16 Kreiss, Gunilla 15 Parsani, Matteo 14 Lundquist, Tomas 14 Sjogreen, Bjorn 14 Wang, Siyang 13 Almquist, Martin 13 Bodony, Daniel J. 13 Dunham, Eric M. 13 Hagstrom, Thomas M. 12 Linders, Viktor 12 Yee, Helen C. 11 Dalcín, Lisandro D. 10 Abgrall, Rémi 10 Duru, Kenneth 10 Sandham, Neil D. 10 Yamaleev, Nail K. 9 Glaubitz, Jan 8 Appelö, Daniel 8 Berg, Jens 8 Brandt, Luca 8 Chan, Jesse 8 Colonius, Tim 8 Eriksson, Sofia 8 Hindenlang, Florian J. 8 Iaccarino, Gianluca 8 Kozdon, Jeremy Edward 8 Laurén, Fredrik 8 Pantano, Carlos 8 Sandberg, Richard D. 8 Schlatter, Philipp 7 Banks, Jeffrey W. 7 Gong, Jing 7 O’Reilly, Ossian 7 Petersson, N. Anders 7 Shu, Chi-Wang 7 Werpers, Jonatan 6 Ålund, Oskar 6 Bagheri, Shervin 6 Deng, Xiaogang 6 Hicken, Jason E. 6 Nikkar, Samira 6 Pullin, Dale I. 6 Rueda-Ramírez, Andrés Mauricio 6 Torlo, Davide 6 Valero, Eusebio 5 Birken, Philipp 5 Boom, Pieter D. 5 Capecelatro, Jesse 5 Chen, Yaming 5 Dong, Suchuan 5 Dumbser, Michael 5 Frankel, Steven H. 5 Freund, Jonathan B. 5 Ghasemi, Fatemeh 5 Jin, Shi 5 Ketcheson, David I. 5 Keyes, David Elliot 5 Kusch, Jonas 5 Pettersson, Per 5 Ruggiu, Andrea Alessandro 5 Sarna, Neeraj 5 Torrilhon, Manuel 5 Towne, Aaron 5 Upperman, Johnathon 5 Virta, Kristoffer 5 Wahlsten, Markus 4 Bellan, Josette 4 Boukharfane, Radouan 4 Eliasson, Peter 4 Erickson, Brittany A. 4 Ferrer, Esteban 4 Frank, Martin 4 Ham, Frank E. 4 Herty, Michael Matthias 4 Kramer, Richard M. J. 4 La Cognata, Cristina 4 Lukáčová-Medviďová, Mária 4 Malan, Arnaud George 4 Manzanero, Juan 4 Mishra, Siddhartha 4 Nishikawa, Hiroaki 4 Nissen, Anna 4 Radhakrishnan, Senthilkumaran 4 Ricchiuto, Mario 4 Rubio, Gonzalo 4 Rydin, Ylva Ljungberg 4 Stiernström, Vidar 4 Tsynkov, Semyon V. ...and 973 more Authors all top 5 Cited in 94 Serials 301 Journal of Computational Physics 110 Journal of Scientific Computing 69 Computers and Fluids 51 Journal of Fluid Mechanics 27 SIAM Journal on Scientific Computing 21 Applied Numerical Mathematics 16 Journal of Computational and Applied Mathematics 14 BIT 13 Computers & Mathematics with Applications 13 Computer Methods in Applied Mechanics and Engineering 13 Applied Mathematics and Computation 13 SIAM Journal on Numerical Analysis 8 Communications on Applied Mathematics and Computation 7 Physics of Fluids 7 International Journal of Computational Fluid Dynamics 6 Computational Geosciences 5 Communications in Computational Physics 4 Theoretical and Computational Fluid Dynamics 3 International Journal for Numerical Methods in Fluids 3 Wave Motion 3 Numerische Mathematik 3 Numerical Methods for Partial Differential Equations 3 Journal of Turbulence 3 Advances in Applied Mathematics and Mechanics 3 SN Partial Differential Equations and Applications 2 Classical and Quantum Gravity 2 Physica A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 Advances in Computational Mathematics 2 Nonlinear Dynamics 2 European Journal of Mechanics. B. Fluids 2 Flow, Turbulence and Combustion 2 Archives of Computational Methods in Engineering 2 Computational Methods in Applied Mathematics 2 International Journal of Numerical Analysis and Modeling 2 GEM - International Journal on Geomathematics 2 SIAM/ASA Journal on Uncertainty Quantification 2 SMAI Journal of Computational Mathematics 1 Acta Mechanica 1 Geophysical and Astrophysical Fluid Dynamics 1 General Relativity and Gravitation 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Shock Waves 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of Computational Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Communications in Statistics. Simulation and Computation 1 SIAM Review 1 SIAM Journal on Optimization 1 Potential Analysis 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 Living Reviews in Relativity 1 Lobachevskii Journal of Mathematics 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Kinetic and Related Models 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applied Mathematics and Nonlinear Sciences 1 Results in Applied Mathematics 1 Journal of Computational Physics: X all top 5 Cited in 35 Fields 624 Numerical analysis (65-XX) 462 Fluid mechanics (76-XX) 307 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 30 Geophysics (86-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Probability theory and stochastic processes (60-XX) 16 Optics, electromagnetic theory (78-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Approximations and expansions (41-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Relativity and gravitational theory (83-XX) 7 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 6 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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