The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows. - Jan Nordström; Niklas Nordin; Dan S. Henningson (SIAM J. Sci. Comput., 1999)

Elimination of First Order Errors in Shock Calculations. - Gunilla Kreiss; Gunilla Efraimsson; Jan Nordström (SIAM J. Numer. Anal., 2001)

High Order Finite Difference Approximations of Electromagnetic Wave Propagation Close to Material Discontinuities. - Jan Nordström; Rikard Gustafsson (J. Sci. Comput., 2003)

Stable and Accurate Artificial Dissipation. - Ken Mattsson; Magnus Svärd; Jan Nordström (J. Sci. Comput., 2004)

Steady-State Computations Using Summation-by-Parts Operators. - Magnus Svärd; Ken Mattsson; Jan Nordström (J. Sci. Comput., 2005)

Well-Posed Boundary Conditions for the Navier-Stokes Equations. - Jan Nordström; Magnus Svärd (SIAM J. Numer. Anal., 2005)

High order finite difference methods for wave propagation in discontinuous media. - Ken Mattsson; Jan Nordström (J. Comput. Phys., 2006)

A stable hybrid method for hyperbolic problems. - Jan Nordström; Jing Gong (J. Comput. Phys., 2006)

On the order of accuracy for difference approximations of initial-boundary value problems. - Magnus Svärd; Jan Nordström (J. Comput. Phys., 2006)

Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation. - Jan Nordström (J. Sci. Comput., 2006)

A stable and efficient hybrid scheme for viscous problems in complex geometries. - Jing Gong; Jan Nordström (J. Comput. Phys., 2007)

Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations. - Jan Nordström; Ken Mattsson; Charles Swanson (J. Comput. Phys., 2007)

A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions. - Magnus Svärd; Mark H. Carpenter; Jan Nordström (J. Comput. Phys., 2007)

Error Bounded Schemes for Time-dependent Hyperbolic Problems. - Jan Nordström (SIAM J. Sci. Comput., 2007)

A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions. - Magnus Svärd; Jan Nordström (J. Comput. Phys., 2008)

A stable and conservative high order multi-block method for the compressible Navier-Stokes equations. - Jan Nordström; Jing Gong; Edwin van der Weide; Magnus Svärd (J. Comput. Phys., 2009)

Numerical analysis of the Burgers' equation in the presence of uncertainty. - Per Pettersson; Gianluca Iaccarino; Jan Nordström (J. Comput. Phys., 2009)

A stable and high-order accurate conjugate heat transfer problem. - Jens Lindström; Jan Nordström (J. Comput. Phys., 2010)

Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators. - Mark H. Carpenter; Jan Nordström; David I. Gottlieb (J. Sci. Comput., 2010)

Interface procedures for finite difference approximations of the advection-diffusion equation. - Jing Gong; Jan Nordström (J. Comput. Appl. Math., 2011)

Stable Robin solid wall boundary conditions for the Navier-Stokes equations. - Jens Berg; Jan Nordström (J. Comput. Phys., 2011)

A stable and conservative method for locally adapting the design order of finite difference schemes. - Sofia Eriksson; Qaisar Abbas; Jan Nordström (J. Comput. Phys., 2011)

Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form. - Jens Berg; Jan Nordström (J. Comput. Phys., 2012)

Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations. - Jan Nordström; Sofia Eriksson; Peter Eliasson (J. Comput. Phys., 2012)

Interaction of Waves with Frictional Interfaces Using Summation-by-Parts Difference Operators: Weak Enforcement of Nonlinear Boundary Conditions. - Jeremy E. Kozdon; Eric M. Dunham; Jan Nordström (J. Sci. Comput., 2012)

High-order accurate difference schemes for the Hodgkin-Huxley equations. - David Amsallem; Jan Nordström (J. Comput. Phys., 2013)

On the impact of boundary conditions on dual consistent finite difference discretizations. - Jens Berg; Jan Nordström (J. Comput. Phys., 2013)

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions. - Travis C. Fisher; Mark H. Carpenter; Jan Nordström; Nail K. Yamaleev; Charles Swanson (J. Comput. Phys., 2013)

Summation-by-parts in time. - Jan Nordström; Tomas Lundquist (J. Comput. Phys., 2013)

Simulation of Dynamic Earthquake Ruptures in Complex Geometries Using High-Order Finite Difference Methods. - Jeremy E. Kozdon; Eric M. Dunham; Jan Nordström (J. Sci. Comput., 2013)

Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems. - Brittany A. Erickson; Jan Nordström (J. Comput. Appl. Math., 2014)

Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations. - Jens Berg; Jan Nordström (J. Comput. Phys., 2014)

The SBP-SAT technique for initial value problems. - Tomas Lundquist; Jan Nordström (J. Comput. Phys., 2014)

A stochastic Galerkin method for the Euler equations with Roe variable transformation. - Per Pettersson; Gianluca Iaccarino; Jan Nordström (J. Comput. Phys., 2014)

Review of summation-by-parts schemes for initial-boundary-value problems. - Magnus Svärd; Jan Nordström (J. Comput. Phys., 2014)

Uniformly best wavenumber approximations by spatial central difference operators. - Viktor Linders; Jan Nordström (J. Comput. Phys., 2015)

Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains. - Samira Nikkar; Jan Nordström (J. Comput. Phys., 2015)

Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations. - Jan Nordström; Markus Wahlsten (J. Comput. Phys., 2015)

A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator. - Chiara Sorgentone; Cristina La Cognata; Jan Nordström (J. Comput. Phys., 2015)

Hyperbolic systems of equations posed on erroneous curved domains. - Jan Nordström; Samira Nikkar (J. Comput. Phys., 2016)

A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data. - Per Pettersson; Jan Nordström; Alireza Doostan (J. Comput. Phys., 2016)

Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation. - David Amsallem; Jan Nordström (SIAM J. Sci. Comput., 2016)

Summation-By-Parts in Time: The Second Derivative. - Jan Nordström; Tomas Lundquist (SIAM J. Sci. Comput., 2016)

Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability. - Sofia Eriksson; Jan Nordström (Found. Comput. Math., 2017)

Corrigendum to "A stable and conservative interface treatment of arbitrary spatial accuracy" [J. Comput. Phys. 148 (1999) 341-365]. - Mark H. Carpenter; Jan Nordström; David I. Gottlieb (J. Comput. Phys., 2017)

Constructing non-reflecting boundary conditions using summation-by-parts in time. - Hannes Frenander; Jan Nordström (J. Comput. Phys., 2017)

Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations. - Viktor Linders; Marco Kupiainen; Jan Nordström (J. Comput. Phys., 2017)

Corrigendum to "Summation by parts operators for finite difference approximations of second derivatives" [J. Comput. Phys. 199 (2004) 503-540]. - Ken Mattsson; Jan Nordström (J. Comput. Phys., 2017)

A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces. - Samira Nikkar; Jan Nordström (J. Comput. Phys., 2017)

On the relation between conservation and dual consistency for summation-by-parts schemes. - Jan Nordström; Fatemeh Ghasemi (J. Comput. Phys., 2017)

On conservation and stability properties for summation-by-parts schemes. - Jan Nordström; Andrea Alessandro Ruggiu (J. Comput. Phys., 2017)

Energy stable and high-order-accurate finite difference methods on staggered grids. - Ossian O'Reilly; Tomas Lundquist; Eric M. Dunham; Jan Nordström (J. Comput. Phys., 2017)

Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. - David A. Kopriva; Jan Nordström; Gregor J. Gassner (J. Sci. Comput., 2017)

A Roadmap to Well Posed and Stable Problems in Computational Physics. - Jan Nordström (J. Sci. Comput., 2017)

Coupling Requirements for Multiphysics Problems Posed on Two Domains. - Fatemeh Ghasemi; Jan Nordström (SIAM J. Numer. Anal., 2017)

Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping. - Ossian O'Reilly; Eric M. Dunham; Jan Nordström (SIAM J. Sci. Comput., 2017)

Finite difference schemes with transferable interfaces for parabolic problems. - Sofia Eriksson; Jan Nordström (J. Comput. Phys., 2018)

A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (J. Comput. Phys., 2018)

Corrigendum to "On the relation between conservation and dual consistency for summation-by-parts schemes" [J. Comput. Phys. 344 (2017) 437-439]. - Jan Nordström; Fatemeh Ghasemi (J. Comput. Phys., 2018)

Well-posed and stable transmission problems. - Jan Nordström; Viktor Linders (J. Comput. Phys., 2018)

On pseudo-spectral time discretizations in summation-by-parts form. - Andrea Alessandro Ruggiu; Jan Nordström (J. Comput. Phys., 2018)

A new multigrid formulation for high order finite difference methods on summation-by-parts form. - Andrea Alessandro Ruggiu; Per Weinerfelt; Jan Nordström (J. Comput. Phys., 2018)

Robust boundary conditions for stochastic incompletely parabolic systems of equations. - Markus Wahlsten; Jan Nordström (J. Comput. Phys., 2018)

A Stable Domain Decomposition Technique for Advection-Diffusion Problems. - Oskar Ålund; Jan Nordström (J. Sci. Comput., 2018)

On Long Time Error Bounds for the Wave Equation on Second Order Form. - Jan Nordström; Hannes Frenander (J. Sci. Comput., 2018)

Response to "Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation". - Magnus Svärd; Jan Nordström (J. Sci. Comput., 2018)

On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form. - Viktor Linders; Tomas Lundquist; Jan Nordström (SIAM J. Numer. Anal., 2018)

Summation-by-Parts Operators for Non-Simply Connected Domains. - Samira Nikkar; Jan Nordström (SIAM J. Sci. Comput., 2018)

Energy versus entropy estimates for nonlinear hyperbolic systems of equations. - Jan Nordström; Andrew R. Winters (CoRR, 2019)

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability. - Rémi Abgrall; Jan Nordström; Philipp Öffner; Svetlana V. Tokareva (CoRR, 2019)

Encapsulated high order difference operators on curvilinear non-conforming grids. - Oskar Ålund; Jan Nordström (J. Comput. Phys., 2019)

An energy stable coupling procedure for the compressible and incompressible Navier-Stokes equations. - Fatemeh Ghasemi; Jan Nordström (J. Comput. Phys., 2019)

A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains. - Samira Nikkar; Jan Nordström (J. Comput. Phys., 2019)

Level set methods for stochastic discontinuity detection in nonlinear problems. - Per Pettersson; Alireza Doostan; Jan Nordström (J. Comput. Phys., 2019)

On the convergence rates of energy-stable finite-difference schemes. - Magnus Svärd; Jan Nordström (J. Comput. Phys., 2019)

Accuracy of Stable, High-order Finite Difference Methods for Hyperbolic Systems with Non-smooth Wave Speeds. - Brittany A. Erickson; Ossian O'Reilly; Jan Nordström (J. Sci. Comput., 2019)

Dual Time-Stepping Using Second Derivatives. - Jan Nordström; Andrea Alessandro Ruggiu (J. Sci. Comput., 2019)

On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. - Markus Wahlsten; Jan Nordström (J. Sci. Comput., 2019)

Correction to: On Stochastic Investigation of Flow Problems Using the Viscous Burgers' Equation as an Example. - Markus Wahlsten; Jan Nordström (J. Sci. Comput., 2019)

Energy stable boundary conditions for the nonlinear incompressible Navier-Stokes equations. - Jan Nordström; Cristina La Cognata (Math. Comput., 2019)

GPU-acceleration of A High Order Finite Difference Code Using Curvilinear Coordinates. - Marco Kupiainen; Jing Gong; Lilit Axner; Erwin Laure; Jan Nordström (CNIOT, 2020)

A Class of A Stable Summation by Parts Time Integration Schemes. - Hendrik Ranocha; Jan Nordström (CoRR, 2020)

On conservation and dual consistency for summation-by-parts based approximations of parabolic problems. - Fatemeh Ghasemi; Jan Nordström (J. Comput. Phys., 2020)

Accurate solution-adaptive finite difference schemes for coarse and fine grids. - Viktor Linders; Mark H. Carpenter; Jan Nordström (J. Comput. Phys., 2020)

Properties of Runge-Kutta-Summation-By-Parts methods. - Viktor Linders; Jan Nordström; Steven H. Frankel (J. Comput. Phys., 2020)

Efficient and error minimized coupling procedures for unstructured and moving meshes. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (J. Comput. Phys., 2020)

The relation between primal and dual boundary conditions for hyperbolic systems of equations. - Jan Nordström; Fatemeh Ghasemi (J. Comput. Phys., 2020)

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems. - Rémi Abgrall; Jan Nordström; Philipp Öffner; Svetlana V. Tokareva (J. Sci. Comput., 2020)

Stable and Accurate Filtering Procedures. - Tomas Lundquist; Jan Nordström (J. Sci. Comput., 2020)

Multigrid Schemes for High Order Discretizations of Hyperbolic Problems. - Andrea Alessandro Ruggiu; Jan Nordström (J. Sci. Comput., 2020)

The Number of Boundary Conditions for Initial Boundary Value Problems. - Jan Nordström; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2020)

Eigenvalue Analysis for Summation-by-Parts Finite Difference Time Discretizations. - Andrea Alessandro Ruggiu; Jan Nordström (SIAM J. Numer. Anal., 2020)

Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations. - Vikram Singh; Steven H. Frankel; Jan Nordström (CoRR, 2021)

Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator. - Oskar Ålund; Yukinao Akamatsu; Fredrik Laurén; Takahiro Miura; Jan Nordström; Alexander Rothkopf (J. Comput. Phys., 2021)

Learning to differentiate. - Oskar Ålund; Gianluca Iaccarino; Jan Nordström (J. Comput. Phys., 2021)

Spectral properties of the incompressible Navier-Stokes equations. - Fredrik Laurén; Jan Nordström (J. Comput. Phys., 2021)

Neural network enhanced computations on coarse grids. - Jan Nordström; Oskar Ålund (J. Comput. Phys., 2021)

Convergence of energy stable finite-difference schemes with interfaces. - Magnus Svärd; Jan Nordström (J. Comput. Phys., 2021)

Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. - David A. Kopriva; Gregor J. Gassner; Jan Nordström (J. Sci. Comput., 2021)

Stable Dynamical Adaptive Mesh Refinement. - Tomas Lundquist; Jan Nordström; Arnaud G. Malan (J. Sci. Comput., 2021)

Stable Filtering Procedures for Nodal Discontinuous Galerkin Methods. - Jan Nordström; Andrew R. Winters (J. Sci. Comput., 2021)

A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions. - Hendrik Ranocha; Jan Nordström (J. Sci. Comput., 2021)

A stable and conservative nonlinear interface coupling for the incompressible Euler equations. - Jan Nordström; Fredrik Laurén (Appl. Math. Lett., 2022)

A new energy stable formulation of the compressible Euler equations. - Jan Nordström (CoRR, 2022)

A new discretization technique for initial value problems based on a variational principle. - Alexander Rothkopf; Jan Nordström (CoRR, 2022)

On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. - David A. Kopriva; Gregor J. Gassner; Jan Nordström (J. Comput. Phys., 2022)

On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. - David A. Kopriva; Jan Nordström; Gregor J. Gassner (J. Comput. Phys., 2022)

Energy stable wall modeling for the Navier-Stokes equations. - Fredrik Laurén; Jan Nordström (J. Comput. Phys., 2022)

A multi-domain summation-by-parts formulation for complex geometries. - Tomas Lundquist; Fredrik Laurén; Jan Nordström (J. Comput. Phys., 2022)

Nonlinear and linearised primal and dual initial boundary value problems: When are they bounded? How are they connected? - Jan Nordström (J. Comput. Phys., 2022)

A skew-symmetric energy and entropy stable formulation of the compressible Euler equations. - Jan Nordström (J. Comput. Phys., 2022)

A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. - Jan Nordström; Andrew R. Winters (J. Comput. Phys., 2022)

Provably non-stiff implementation of weak coupling conditions for hyperbolic problems. - Ossian O'Reilly; Jan Nordström (Numerische Mathematik, 2022)

Nonlinear Boundary Conditions for Energy and Entropy Stable Initial Boundary Value Problems in Computational Fluid Dynamics. - Jan Nordström (CoRR, 2023)

A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations. - Mojalefa P. Nchupang; Arnaud G. Malan; Fredrik Laurén; Jan Nordström (CoRR, 2023)

An SBP-SAT Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields. - Arnaud G. Malan; Jan Nordström (CoRR, 2023)

A new variational discretization technique for initial value problems bypassing governing equations. - Alexander Rothkopf; Jan Nordström (J. Comput. Phys., 2023)

Summation-by-Parts Operators for General Function Spaces. - Jan Glaubitz; Jan Nordström; Philipp Öffner (SIAM J. Numer. Anal., 2023)

Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. - Jan Glaubitz; Simon-Christian Klein; Jan Nordström; Philipp Öffner (J. Comput. Phys., 2023)

A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian-Eulerian Methods. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (SIAM J. Numer. Anal., 2023)

An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids. - Jan Glaubitz; Jan Nordström; Philipp Öffner (CoRR, 2024)

An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation. - Jan Nordström; Arnaud G. Malan (CoRR, 2024)

Exact space-time symmetry conservation and automatic mesh refinement for classical lattice field theory. - Alexander Rothkopf; W. A. Horowitz; Jan Nordström (CoRR, 2024)

Summation-by-parts operators for general function spaces: The second derivative. - Jan Glaubitz; Simon-Christian Klein; Jan Nordström; Philipp Öffner (J. Comput. Phys., 2024)

Uncertain data in initial boundary value problems: Impact on short and long time predictions. - Jan Nordström (J. Comput. Phys., 2024)

A skew-symmetric energy stable almost dissipation free formulation of the compressible Navier-Stokes equations. - Jan Nordström (J. Comput. Phys., 2024)

The crucial role of Lagrange multipliers in a space-time symmetry preserving discretization scheme for IVPs. - Alexander Rothkopf; Jan Nordström (J. Comput. Phys., 2024)

Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form. - Jan Glaubitz; Jan Nordström; Philipp Öffner (J. Sci. Comput., 2024)

Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. - Tomas Lundquist; Andrew R. Winters; Jan Nordström (J. Comput. Phys., 2024)

Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics. - Jan Nordström (J. Comput. Phys., 2024)

A symmetry and Noether charge preserving discretization of initial value problems. - Alexander Rothkopf; Jan Nordström (J. Comput. Phys., 2024)

A superconvergent stencil-adaptive SBP-SAT finite difference scheme. - Viktor Linders; Mark H. Carpenter; Jan Nordström (J. Comput. Phys., 2024)

Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. - David A. Kopriva; Andrew R. Winters; Jan Nordström (J. Comput. Phys., 2025)

Open boundary conditions for nonlinear initial boundary value problems. - Jan Nordström (J. Comput. Phys., 2025)

An energy stable incompressible multi-phase flow formulation. - Jan Nordström; Arnaud G. Malan (J. Comput. Phys., 2025)

Exact symmetry conservation and automatic mesh refinement in discrete initial boundary value problems. - Alexander Rothkopf; W. A. Horowitz; Jan Nordström (J. Comput. Phys., 2025)

Global Bounds for the Error in Solutions of Linear Hyperbolic Systems due to Inaccurate Boundary Geometry. - David A. Kopriva; Andrew R. Winters; Jan Nordström (CoRR, 2025)

A Stable and Conservative Hybrid Scheme for the Frank-Kamenetskii Equation. - Charis Harley; Ebrahim Momoniat; Jan Nordström (J. Sci. Comput., 2025)

Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators. - Wasilij Barsukow; Christian Klingenberg; Lisa Lechner; Jan Nordström; Sigrun Ortleb; Hendrik Ranocha (CoRR, 2025)