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2020 – today
- 2025
[j120]David A. Kopriva, Andrew R. Winters
, Jan Nordström:
Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. J. Comput. Phys. 520: 113508 (2025)- 2024
- [j119]Alexander Rothkopf, Jan Nordström:
A symmetry and Noether charge preserving discretization of initial value problems. J. Comput. Phys. 498: 112652 (2024) - [j118]Jan Nordström:
Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics. J. Comput. Phys. 498: 112685 (2024) - [j117]Tomas Lundquist, Andrew R. Winters, Jan Nordström:
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. J. Comput. Phys. 498: 112699 (2024) - [j116]Viktor Linders, Mark H. Carpenter, Jan Nordström:
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. J. Comput. Phys. 501: 112794 (2024) - [j115]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. J. Comput. Phys. 504: 112889 (2024) - [j114]Jan Nordström:
Uncertain data in initial boundary value problems: Impact on short and long time predictions. J. Comput. Phys. 505: 112891 (2024) - [j113]Alexander Rothkopf, Jan Nordström:
The crucial role of Lagrange multipliers in a space-time symmetry preserving discretization scheme for IVPs. J. Comput. Phys. 511: 113138 (2024) - [j112]Jan Nordström:
A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations. J. Comput. Phys. 512: 113145 (2024) - [j111]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form. J. Sci. Comput. 98(1): 30 (2024) - [i30]Alexander Rothkopf, W. A. Horowitz, Jan Nordström:
Exact symmetry conservation and automatic mesh refinement in discrete initial boundary value problems. CoRR abs/2404.18676 (2024) - [i29]David A. Kopriva, Andrew R. Winters, Jan Nordström:
Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems. CoRR abs/2405.04668 (2024) - [i28]Jan Glaubitz, Jan Nordström, Philipp Öffner:
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids. CoRR abs/2405.08770 (2024) - [i27]Jan Nordström, Arnaud G. Malan:
An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation. CoRR abs/2406.19525 (2024) - [i26]Alexander Rothkopf, W. A. Horowitz, Jan Nordström:
Exact space-time symmetry conservation and automatic mesh refinement for classical lattice field theory. CoRR abs/2410.05896 (2024) - 2023
- [j110]Alexander Rothkopf, Jan Nordström:
A new variational discretization technique for initial value problems bypassing governing equations. J. Comput. Phys. 477: 111942 (2023) - [j109]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. J. Comput. Phys. 491: 112370 (2023) - [j108]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-Parts Operators for General Function Spaces. SIAM J. Numer. Anal. 61(2): 733-754 (2023) - [j107]Tomas Lundquist, Arnaud G. Malan, Jan Nordström:
A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian-Eulerian Methods. SIAM J. Numer. Anal. 61(5): 2327-2351 (2023) - [i25]Jan Nordström:
Nonlinear Boundary Conditions for Energy and Entropy Stable Initial Boundary Value Problems in Computational Fluid Dynamics. CoRR abs/2301.04568 (2023) - [i24]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. CoRR abs/2301.12996 (2023) - [i23]Tomas Lundquist, Arnaud G. Malan, Jan Nordström:
A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods. CoRR abs/2302.06385 (2023) - [i22]Tomas Lundquist, Andrew R. Winters, Jan Nordström:
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. CoRR abs/2305.18195 (2023) - [i21]Jan Nordström:
Nonlinear Boundary Conditions for Initial Boundary Value Problems with Applications in Computational Fluid Dynamics. CoRR abs/2306.01297 (2023) - [i20]Mojalefa P. Nchupang, Arnaud G. Malan, Fredrik Laurén, Jan Nordström:
A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations. CoRR abs/2306.02097 (2023) - [i19]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. CoRR abs/2306.16314 (2023) - [i18]Alexander Rothkopf, Jan Nordström:
A symmetry and Noether charge preserving discretization of initial value problems. CoRR abs/2307.04490 (2023) - [i17]Viktor Linders, Mark H. Carpenter, Jan Nordström:
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. CoRR abs/2307.14034 (2023) - [i16]Arnaud G. Malan, Jan Nordström:
An SBP-SAT Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields. CoRR abs/2311.05395 (2023) - [i15]Alexander Rothkopf, Jan Nordström:
The crucial role of Lagrange multipliers in a space-time symmetry preserving discretization scheme for IVPs. CoRR abs/2312.09772 (2023) - 2022
- [j106]Jan Nordström, Fredrik Laurén:
A stable and conservative nonlinear interface coupling for the incompressible Euler equations. Appl. Math. Lett. 132: 108171 (2022) - [j105]David A. Kopriva, Jan Nordström, Gregor J. Gassner:
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys. 448: 110732 (2022) - [j104]Jan Nordström:
Nonlinear and linearised primal and dual initial boundary value problems: When are they bounded? How are they connected? J. Comput. Phys. 455: 111001 (2022) - [j103]Fredrik Laurén, Jan Nordström:
Energy stable wall modeling for the Navier-Stokes equations. J. Comput. Phys. 457: 111046 (2022) - [j102]Jan Nordström, Andrew R. Winters:
A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. J. Comput. Phys. 463: 111254 (2022) - [j101]Tomas Lundquist, Fredrik Laurén, Jan Nordström:
A multi-domain summation-by-parts formulation for complex geometries. J. Comput. Phys. 463: 111269 (2022) - [j100]Jan Nordström:
A skew-symmetric energy and entropy stable formulation of the compressible Euler equations. J. Comput. Phys. 470: 111573 (2022) - [j99]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys. 471: 111620 (2022) - [j98]Ossian O'Reilly, Jan Nordström:
Provably non-stiff implementation of weak coupling conditions for hyperbolic problems. Numerische Mathematik 150(2): 551-589 (2022) - [i14]Jan Nordström:
A new energy stable formulation of the compressible Euler equations. CoRR abs/2201.05423 (2022) - [i13]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces. CoRR abs/2203.05479 (2022) - [i12]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws. CoRR abs/2203.11149 (2022) - [i11]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-stable global radial basis function methods on summation-by-parts form. CoRR abs/2204.03291 (2022) - [i10]Alexander Rothkopf, Jan Nordström:
A new discretization technique for initial value problems based on a variational principle. CoRR abs/2205.14028 (2022) - 2021
- [j97]Oskar Ålund, Gianluca Iaccarino, Jan Nordström:
Learning to differentiate. J. Comput. Phys. 424: 109873 (2021) - [j96]Jan Nordström, Oskar Ålund:
Neural network enhanced computations on coarse grids. J. Comput. Phys. 425: 109821 (2021) - [j95]Oskar Ålund, Yukinao Akamatsu, Fredrik Laurén, Takahiro Miura, Jan Nordström, Alexander Rothkopf:
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator. J. Comput. Phys. 425: 109917 (2021) - [j94]Fredrik Laurén, Jan Nordström:
Spectral properties of the incompressible Navier-Stokes equations. J. Comput. Phys. 429: 110019 (2021) - [j93]Magnus Svärd, Jan Nordström:
Convergence of energy stable finite-difference schemes with interfaces. J. Comput. Phys. 429: 110020 (2021) - [j92]Tomas Lundquist, Jan Nordström, Arnaud G. Malan:
Stable Dynamical Adaptive Mesh Refinement. J. Sci. Comput. 86(3): 43 (2021) - [j91]Jan Nordström, Andrew R. Winters:
Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods. J. Sci. Comput. 87(1): 17 (2021) - [j90]Hendrik Ranocha, Jan Nordström:
A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions. J. Sci. Comput. 87(1): 33 (2021) - [j89]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput. 88(1): 3 (2021) - [i9]Vikram Singh, Steven H. Frankel, Jan Nordström:
Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations. CoRR abs/2102.05080 (2021) - [i8]David A. Kopriva, Jan Nordström, Gregor J. Gassner:
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. CoRR abs/2105.04664 (2021) - [i7]Jan Nordström:
Nonlinear and Linearised Primal and Dual Initial Boundary Value Problems: When are they Bounded? How are they Connected? CoRR abs/2109.10041 (2021) - 2020
- [j88]Jan Nordström, Fatemeh Ghasemi:
The relation between primal and dual boundary conditions for hyperbolic systems of equations. J. Comput. Phys. 401 (2020) - [j87]Tomas Lundquist, Arnaud G. Malan, Jan Nordström:
Efficient and error minimized coupling procedures for unstructured and moving meshes. J. Comput. Phys. 406: 109158 (2020) - [j86]Fatemeh Ghasemi, Jan Nordström:
On conservation and dual consistency for summation-by-parts based approximations of parabolic problems. J. Comput. Phys. 410: 109282 (2020) - [j85]Viktor Linders, Mark H. Carpenter, Jan Nordström:
Accurate solution-adaptive finite difference schemes for coarse and fine grids. J. Comput. Phys. 410: 109393 (2020) - [j84]Viktor Linders, Jan Nordström, Steven H. Frankel:
Properties of Runge-Kutta-Summation-By-Parts methods. J. Comput. Phys. 419: 109684 (2020) - [j83]Tomas Lundquist, Jan Nordström:
Stable and Accurate Filtering Procedures. J. Sci. Comput. 82(1): 16 (2020) - [j82]Andrea Alessandro Ruggiu, Jan Nordström:
Multigrid Schemes for High Order Discretizations of Hyperbolic Problems. J. Sci. Comput. 82(3): 62 (2020) - [j81]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems. J. Sci. Comput. 85(2): 43 (2020) - [j80]Andrea Alessandro Ruggiu, Jan Nordström:
Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations. SIAM J. Numer. Anal. 58(2): 907-928 (2020) - [j79]Jan Nordström, Thomas M. Hagstrom:
The Number of Boundary Conditions for Initial Boundary Value Problems. SIAM J. Numer. Anal. 58(5): 2818-2828 (2020) - [c1]Marco Kupiainen, Jing Gong, Lilit Axner, Erwin Laure, Jan Nordström:
GPU-acceleration of A High Order Finite Difference Code Using Curvilinear Coordinates. CNIOT 2020: 41-47 - [i6]Hendrik Ranocha, Jan Nordström:
A Class of A Stable Summation by Parts Time Integration Schemes. CoRR abs/2003.03889 (2020) - [i5]Jan Nordström, Andrew R. Winters:
Stable filtering procedures for nodal discontinuous Galerkin methods. CoRR abs/2007.06948 (2020) - [i4]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. CoRR abs/2011.11746 (2020)
2010 – 2019
- 2019
- [j78]Samira Nikkar, Jan Nordström:
A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains. J. Comput. Phys. 376: 322-338 (2019) - [j77]Oskar Ålund, Jan Nordström:
Encapsulated high order difference operators on curvilinear non-conforming grids. J. Comput. Phys. 385: 209-224 (2019) - [j76]Per Pettersson, Alireza Doostan, Jan Nordström:
Level set methods for stochastic discontinuity detection in nonlinear problems. J. Comput. Phys. 392: 511-531 (2019) - [j75]Fatemeh Ghasemi, Jan Nordström:
An energy stable coupling procedure for the compressible and incompressible Navier-Stokes equations. J. Comput. Phys. 396: 280-302 (2019) - [j74]Magnus Svärd, Jan Nordström:
On the convergence rates of energy-stable finite-difference schemes. J. Comput. Phys. 397 (2019) - [j73]Jan Nordström, Andrea Alessandro Ruggiu:
Dual Time-Stepping Using Second Derivatives. J. Sci. Comput. 81(2): 1050-1071 (2019) - [j72]Markus Wahlsten, Jan Nordström:
On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. J. Sci. Comput. 81(2): 1111-1117 (2019) - [j71]Markus Wahlsten, Jan Nordström:
Correction to: On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. J. Sci. Comput. 81(2): 1118 (2019) - [j70]Brittany A. Erickson, Ossian O'Reilly, Jan Nordström:
Accuracy of Stable, High-order Finite Difference Methods for Hyperbolic Systems with Non-smooth Wave Speeds. J. Sci. Comput. 81(3): 2356-2387 (2019) - [j69]Jan Nordström, Cristina La Cognata:
Energy stable boundary conditions for the nonlinear incompressible Navier-Stokes equations. Math. Comput. 88(316): 665-690 (2019) - [i3]Jan Nordström, Andrew R. Winters:
Energy versus entropy estimates for nonlinear hyperbolic systems of equations. CoRR abs/1907.10713 (2019) - [i2]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear problems. CoRR abs/1912.08108 (2019) - [i1]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability. CoRR abs/1912.08390 (2019) - 2018
- [j68]Andrea Alessandro Ruggiu, Per Weinerfelt, Jan Nordström:
A new multigrid formulation for high order finite difference methods on summation-by-parts form. J. Comput. Phys. 359: 216-238 (2018) - [j67]Andrea Alessandro Ruggiu, Jan Nordström:
On pseudo-spectral time discretizations in summation-by-parts form. J. Comput. Phys. 360: 192-201 (2018) - [j66]Jan Nordström, Fatemeh Ghasemi:
Corrigendum to "On the relation between conservation and dual consistency for summation-by-parts schemes" [J. Comput. Phys. 344 (2017) 437-439]. J. Comput. Phys. 360: 344 (2018) - [j65]Tomas Lundquist, Arnaud G. Malan, Jan Nordström:
A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. J. Comput. Phys. 362: 49-68 (2018) - [j64]Jan Nordström, Viktor Linders:
Well-posed and stable transmission problems. J. Comput. Phys. 364: 95-110 (2018) - [j63]Markus Wahlsten, Jan Nordström:
Robust boundary conditions for stochastic incompletely parabolic systems of equations. J. Comput. Phys. 371: 192-213 (2018) - [j62]Sofia Eriksson, Jan Nordström:
Finite difference schemes with transferable interfaces for parabolic problems. J. Comput. Phys. 375: 935-949 (2018) - [j61]Magnus Svärd, Jan Nordström:
Response to "Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation". J. Sci. Comput. 74(2): 1188-1192 (2018) - [j60]Jan Nordström, Hannes Frenander:
On Long Time Error Bounds for the Wave Equation on Second Order Form. J. Sci. Comput. 76(3): 1327-1336 (2018) - [j59]Oskar Ålund, Jan Nordström:
A Stable Domain Decomposition Technique for Advection-Diffusion Problems. J. Sci. Comput. 77(2): 755-774 (2018) - [j58]Viktor Linders, Tomas Lundquist, Jan Nordström:
On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form. SIAM J. Numer. Anal. 56(2): 1048-1063 (2018) - [j57]Samira Nikkar, Jan Nordström:
Summation-by-Parts Operators for Non-Simply Connected Domains. SIAM J. Sci. Comput. 40(3) (2018) - 2017
- [j56]Sofia Eriksson, Jan Nordström:
Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability. Found. Comput. Math. 17(4): 957-986 (2017) - [j55]Hannes Frenander, Jan Nordström:
Constructing non-reflecting boundary conditions using summation-by-parts in time. J. Comput. Phys. 331: 38-48 (2017) - [j54]Samira Nikkar, Jan Nordström:
A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces. J. Comput. Phys. 339: 500-524 (2017) - [j53]Viktor Linders, Marco Kupiainen, Jan Nordström:
Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations. J. Comput. Phys. 340: 160-176 (2017) - [j52]Jan Nordström, Fatemeh Ghasemi:
On the relation between conservation and dual consistency for summation-by-parts schemes. J. Comput. Phys. 344: 437-439 (2017) - [j51]Jan Nordström, Andrea Alessandro Ruggiu:
On conservation and stability properties for summation-by-parts schemes. J. Comput. Phys. 344: 451-464 (2017) - [j50]Ossian O'Reilly, Tomas Lundquist, Eric M. Dunham, Jan Nordström:
Energy stable and high-order-accurate finite difference methods on staggered grids. J. Comput. Phys. 346: 572-589 (2017) - [j49]Mark H. Carpenter, Jan Nordström, David I. Gottlieb:
Corrigendum to "A stable and conservative interface treatment of arbitrary spatial accuracy" [J. Comput. Phys. 148 (1999) 341-365]. J. Comput. Phys. 351: 534 (2017) - [j48]Ken Mattsson, Jan Nordström:
Corrigendum to "Summation by parts operators for finite difference approximations of second derivatives" [J. Comput. Phys. 199 (2004) 503-540]. J. Comput. Phys. 351: 535 (2017) - [j47]Jan Nordström:
A Roadmap to Well Posed and Stable Problems in Computational Physics. J. Sci. Comput. 71(1): 365-385 (2017) - [j46]David A. Kopriva, Jan Nordström, Gregor J. Gassner:
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput. 72(1): 314-330 (2017) - [j45]Fatemeh Ghasemi, Jan Nordström:
Coupling Requirements for Multiphysics Problems Posed on Two Domains. SIAM J. Numer. Anal. 55(6): 2885-2904 (2017) - [j44]Ossian O'Reilly, Eric M. Dunham, Jan Nordström:
Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j43]Per Pettersson, Jan Nordström, Alireza Doostan:
A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. J. Comput. Phys. 306: 92-116 (2016) - [j42]Jan Nordström, Samira Nikkar:
Hyperbolic systems of equations posed on erroneous curved domains. J. Comput. Phys. 308: 438-442 (2016) - [j41]David Amsallem, Jan Nordström:
Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation. SIAM J. Sci. Comput. 38(2) (2016) - [j40]Jan Nordström, Tomas Lundquist:
Summation-By-Parts in Time: The Second Derivative. SIAM J. Sci. Comput. 38(3) (2016) - 2015
- [j39]Jan Nordström, Markus Wahlsten:
Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations. J. Comput. Phys. 282: 1-22 (2015) - [j38]Samira Nikkar, Jan Nordström:
Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains. J. Comput. Phys. 291: 82-98 (2015) - [j37]Viktor Linders, Jan Nordström:
Uniformly best wavenumber approximations by spatial central difference operators. J. Comput. Phys. 300: 695-709 (2015) - [j36]Chiara Sorgentone, Cristina La Cognata, Jan Nordström:
A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator. J. Comput. Phys. 301: 167-177 (2015) - 2014
- [j35]Brittany A. Erickson, Jan Nordström:
Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems. J. Comput. Appl. Math. 271: 328-338 (2014) - [j34]Per Pettersson, Gianluca Iaccarino, Jan Nordström:
A stochastic Galerkin method for the Euler equations with Roe variable transformation. J. Comput. Phys. 257: 481-500 (2014) - [j33]Jens Berg, Jan Nordström:
Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations. J. Comput. Phys. 259: 135-153 (2014) - [j32]Magnus Svärd, Jan Nordström:
Review of summation-by-parts schemes for initial-boundary-value problems. J. Comput. Phys. 268: 17-38 (2014) - [j31]Tomas Lundquist, Jan Nordström:
The SBP-SAT technique for initial value problems. J. Comput. Phys. 270: 86-104 (2014) - 2013
- [j30]Travis C. Fisher, Mark H. Carpenter, Jan Nordström, Nail K. Yamaleev, Charles Swanson:
Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions. J. Comput. Phys. 234: 353-375 (2013) - [j29]Jens Berg, Jan Nordström:
On the impact of boundary conditions on dual consistent finite difference discretizations. J. Comput. Phys. 236: 41-55 (2013) - [j28]Jan Nordström, Tomas Lundquist:
Summation-by-parts in time. J. Comput. Phys. 251: 487-499 (2013) - [j27]David Amsallem, Jan Nordström:
High-order accurate difference schemes for the Hodgkin-Huxley equations. J. Comput. Phys. 252: 573-590 (2013) - [j26]Jeremy E. Kozdon, Eric M. Dunham, Jan Nordström:
Simulation of Dynamic Earthquake Ruptures in Complex Geometries Using High-Order Finite Difference Methods. J. Sci. Comput. 55(1): 92-124 (2013) - 2012
- [j25]Jan Nordström, Sofia Eriksson, Peter Eliasson:
Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations. J. Comput. Phys. 231(14): 4867-4884 (2012) - [j24]Jens Berg, Jan Nordström:
Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. J. Comput. Phys. 231(20): 6846-6860 (2012) - [j23]Jeremy E. Kozdon, Eric M. Dunham, Jan Nordström:
Interaction of Waves with Frictional Interfaces Using Summation-by-Parts Difference Operators: Weak Enforcement of Nonlinear Boundary Conditions. J. Sci. Comput. 50(2): 341-367 (2012) - 2011
- [j22]Jing Gong, Jan Nordström:
Interface procedures for finite difference approximations of the advection-diffusion equation. J. Comput. Appl. Math. 236(5): 602-620 (2011) - [j21]Sofia Eriksson, Qaisar Abbas, Jan Nordström:
A stable and conservative method for locally adapting the design order of finite difference schemes. J. Comput. Phys. 230(11): 4216-4231 (2011) - [j20]Jens Berg, Jan Nordström:
Stable Robin solid wall boundary conditions for the Navier-Stokes equations. J. Comput. Phys. 230(19): 7519-7532 (2011) - 2010
- [j19]Jens Lindström, Jan Nordström:
A stable and high-order accurate conjugate heat transfer problem. J. Comput. Phys. 229(14): 5440-5456 (2010) - [j18]Mark H. Carpenter, Jan Nordström, David I. Gottlieb:
Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators. J. Sci. Comput. 45(1-3): 118-150 (2010)
2000 – 2009
- 2009
- [j17]Per Pettersson, Gianluca Iaccarino, Jan Nordström:
Numerical analysis of the Burgers' equation in the presence of uncertainty. J. Comput. Phys. 228(22): 8394-8412 (2009) - [j16]Jan Nordström, Jing Gong, Edwin van der Weide, Magnus Svärd:
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. J. Comput. Phys. 228(24): 9020-9035 (2009) - 2008
- [j15]Magnus Svärd, Jan Nordström:
A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions. J. Comput. Phys. 227(10): 4805-4824 (2008) - 2007
- [j14]Jan Nordström, Ken Mattsson, Charles Swanson:
Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations. J. Comput. Phys. 225(1): 874-890 (2007) - [j13]Magnus Svärd, Mark H. Carpenter, Jan Nordström:
A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions. J. Comput. Phys. 225(1): 1020-1038 (2007) - [j12]Jing Gong, Jan Nordström:
A stable and efficient hybrid scheme for viscous problems in complex geometries. J. Comput. Phys. 226(2): 1291-1309 (2007) - [j11]Jan Nordström:
Error Bounded Schemes for Time-dependent Hyperbolic Problems. SIAM J. Sci. Comput. 30(1): 46-59 (2007) - 2006
- [j10]Jan Nordström, Jing Gong:
A stable hybrid method for hyperbolic problems. J. Comput. Phys. 212(2): 436-453 (2006) - [j9]Magnus Svärd, Jan Nordström:
On the order of accuracy for difference approximations of initial-boundary value problems. J. Comput. Phys. 218(1): 333-352 (2006) - [j8]Ken Mattsson, Jan Nordström:
High order finite difference methods for wave propagation in discontinuous media. J. Comput. Phys. 220(1): 249-269 (2006) - [j7]Jan Nordström:
Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation. J. Sci. Comput. 29(3): 375-404 (2006) - 2005
- [j6]Magnus Svärd, Ken Mattsson, Jan Nordström:
Steady-State Computations Using Summation-by-Parts Operators. J. Sci. Comput. 24(1): 79-95 (2005) - [j5]Jan Nordström, Magnus Svärd:
Well-Posed Boundary Conditions for the Navier-Stokes Equations. SIAM J. Numer. Anal. 43(3): 1231-1255 (2005) - 2004
- [j4]Ken Mattsson, Magnus Svärd, Jan Nordström:
Stable and Accurate Artificial Dissipation. J. Sci. Comput. 21(1): 57-79 (2004) - 2003
- [j3]Jan Nordström, Rikard Gustafsson:
High Order Finite Difference Approximations of Electromagnetic Wave Propagation Close to Material Discontinuities. J. Sci. Comput. 18(2): 215-234 (2003) - 2001
- [j2]Gunilla Kreiss, Gunilla Efraimsson, Jan Nordström:
Elimination of First Order Errors in Shock Calculations. SIAM J. Numer. Anal. 38(6): 1986-1998 (2001)
1990 – 1999
- 1999
- [j1]Jan Nordström, Niklas Nordin, Dan S. Henningson:
The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows. SIAM J. Sci. Comput. 20(4): 1365-1393 (1999)
Coauthor Index
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