| Publication | Date of Publication | Type |
|---|
| A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations | 2024-04-09 | Paper |
| A superconvergent stencil-adaptive SBP-SAT finite difference scheme | 2024-04-09 | Paper |
| A symmetry and Noether charge preserving discretization of initial value problems | 2024-01-31 | Paper |
| Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics | 2024-01-31 | Paper |
| Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes | 2024-01-31 | Paper |
| Energy-stable global radial basis function methods on summation-by-parts form | 2024-01-16 | Paper |
| The crucial role of Lagrange multipliers in a space-time symmetry preserving discretization scheme for IVPs | 2023-12-15 | Paper |
| Multi-dimensional summation-by-parts operators for general function spaces: theory and construction | 2023-11-27 | Paper |
| An SBP-SAT Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields | 2023-11-09 | Paper |
| A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian–Eulerian Methods | 2023-10-25 | Paper |
| Uncertain Data in Initial Boundary Value Problems: Impact on Short and Long Time Predictions | 2023-06-28 | Paper |
| Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability | 2023-06-13 | Paper |
| Summation-by-Parts Operators for General Function Spaces | 2023-04-26 | Paper |
| A comparative study of two different shallow water formulations using stable summation by parts schemes | 2023-02-17 | Paper |
| On the order reduction of approximations of fractional derivatives: an explanation and a cure | 2023-02-16 | Paper |
| A new variational discretization technique for initial value problems bypassing governing equations | 2023-02-10 | Paper |
| Nonlinear Boundary Conditions for Energy and Entropy Stable Initial Boundary Value Problems in Computational Fluid Dynamics | 2023-01-11 | Paper |
| On the theoretical foundation of overset grid methods for hyperbolic problems. II: Entropy bounded formulations for nonlinear conservation laws | 2022-10-21 | Paper |
| A skew-symmetric energy and entropy stable formulation of the compressible Euler equations | 2022-10-11 | Paper |
| A stable and conservative nonlinear interface coupling for the incompressible Euler equations | 2022-06-13 | Paper |
| A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions | 2022-06-03 | Paper |
| A multi-domain summation-by-parts formulation for complex geometries | 2022-06-03 | Paper |
| A new variational discretization technique for initial value problems bypassing governing equations | 2022-05-27 | Paper |
| Energy stable wall modeling for the Navier-Stokes equations | 2022-05-09 | Paper |
| Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? | 2022-05-05 | Paper |
| On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation | 2022-05-03 | Paper |
| An efficient hybrid method for uncertainty quantification | 2022-04-28 | Paper |
| Learning to differentiate | 2022-04-14 | Paper |
| Neural network enhanced computations on coarse grids | 2022-04-14 | Paper |
| Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator | 2022-04-14 | Paper |
| Properties of Runge-Kutta-summation-by-parts methods | 2022-04-14 | Paper |
| Spectral properties of the incompressible Navier-Stokes equations | 2022-03-31 | Paper |
| Convergence of energy stable finite-difference schemes with interfaces | 2022-03-31 | Paper |
| Provably non-stiff implementation of weak coupling conditions for hyperbolic problems | 2022-03-21 | Paper |
| On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws | 2022-03-21 | Paper |
| Summation-by-parts operators for general function spaces | 2022-03-10 | Paper |
| A skew-symmetric energy and entropy stable formulation of the compressible Euler equations | 2022-01-14 | Paper |
| Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations | 2021-11-15 | Paper |
| Nonlinear and Linearised Primal and Dual Initial Boundary Value Problems: When are they Bounded? How are they Connected? | 2021-09-21 | Paper |
| Stability of discontinuous Galerkin spectral element schemes for wave propagation when the coefficient matrices have jumps | 2021-06-15 | Paper |
| On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation | 2021-05-10 | Paper |
| A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions | 2021-05-03 | Paper |
| Stable dynamical adaptive mesh refinement | 2021-03-02 | Paper |
| Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations | 2021-02-09 | Paper |
| Efficient and error minimized coupling procedures for unstructured and moving meshes | 2021-01-28 | Paper |
| An energy stable coupling procedure for the compressible and incompressible Navier-Stokes equations | 2021-01-27 | Paper |
| On the convergence rates of energy-stable finite-difference schemes | 2021-01-27 | Paper |
| The relation between primal and dual boundary conditions for hyperbolic systems of equations | 2021-01-27 | Paper |
| Level set methods for stochastic discontinuity detection in nonlinear problems | 2021-01-26 | Paper |
| Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems | 2021-01-21 | Paper |
| Encapsulated high order difference operators on curvilinear non-conforming grids | 2020-12-10 | Paper |
| The Number of Boundary Conditions for Initial Boundary Value Problems | 2020-10-14 | Paper |
| Stable filtering procedures for nodal discontinuous Galerkin methods | 2020-07-14 | Paper |
| On conservation and dual consistency for summation-by-parts based approximations of parabolic problems | 2020-07-07 | Paper |
| Accurate solution-adaptive finite difference schemes for coarse and fine grids | 2020-07-07 | Paper |
| The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations | 2020-03-31 | Paper |
| Multigrid schemes for high order discretizations of hyperbolic problems | 2020-02-26 | Paper |
| Accuracy of stable, high-order finite difference methods for hyperbolic systems with non-smooth wave speeds | 2020-01-31 | Paper |
| Stable and accurate filtering procedures | 2020-01-31 | Paper |
| Galerkin projection and numerical integration for a stochastic investigation of the viscous Burgers' equation: an initial attempt | 2019-11-26 | Paper |
| Dual time-stepping using second derivatives | 2019-11-13 | Paper |
| On stochastic investigation of flow problems using the viscous Burgers' equation as an example | 2019-11-13 | Paper |
| Correction to: ``On stochastic investigation of flow problems using the viscous Burgers' equation as an example | 2019-11-13 | Paper |
| A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions | 2019-07-24 | Paper |
| Finite difference schemes with transferable interfaces for parabolic problems | 2019-07-11 | Paper |
| A dual consistent summation-by-parts formulation for the linearized incompressible Navier-Stokes equations posed on deforming domains | 2019-07-10 | Paper |
| Robust boundary conditions for stochastic incompletely parabolic systems of equations | 2019-06-26 | Paper |
| A stable domain decomposition technique for advection-diffusion problems | 2018-12-13 | Paper |
| Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations | 2018-12-05 | Paper |
| Practical inlet boundary conditions for internal flow calculations | 2018-10-31 | Paper |
| On long time error bounds for the wave equation on second order form | 2018-09-28 | Paper |
| Well-posed and stable transmission problems | 2018-08-10 | Paper |
| A simple and efficient incompressible Navier-Stokes solver for unsteady complex geometry flows on truncated domains | 2018-06-27 | Paper |
| The effect of uncertain geometries on advection-diffusion of scalar quantities | 2018-06-26 | Paper |
| On pseudo-spectral time discretizations in summation-by-parts form | 2018-06-14 | Paper |
| Corrigendum to: ``On the relation between conservation and dual consistency for summation-by-parts schemes | 2018-06-14 | Paper |
| A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes | 2018-06-14 | Paper |
| Spurious solutions for the advection‐diffusion equation using wide stencils for approximating the second derivative | 2018-05-31 | Paper |
| Summation-by-Parts Operators for Non-Simply Connected Domains | 2018-05-18 | Paper |
| On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form | 2018-04-26 | Paper |
| Response to ``Convergence of summation-by-parts finite difference methods for the wave equation | 2018-04-12 | Paper |
| A new multigrid formulation for high order finite difference methods on summation-by-parts form | 2018-03-27 | Paper |
| A roadmap to well posed and stable problems in computational physics | 2018-03-13 | Paper |
| On the relation between conservation and dual consistency for summation-by-parts schemes | 2018-02-01 | Paper |
| On conservation and stability properties for summation-by-parts schemes | 2018-02-01 | Paper |
| Energy stable and high-order-accurate finite difference methods on staggered grids | 2018-01-25 | Paper |
| Constructing non-reflecting boundary conditions using summation-by-parts in time | 2018-01-22 | Paper |
| Summation-by-parts operators with minimal dispersion error for coarse grid flow calculations | 2017-12-15 | Paper |
| A fully discrete, stable and conservative summation-by-parts formulation for deforming interfaces | 2017-12-14 | Paper |
| Corrigendum to ``Summation by parts operators for finite difference approximations of second derivatives | 2017-12-13 | Paper |
| Corrigendum to ``A stable and conservative interface treatment of arbitrary spatial accuracy | 2017-12-13 | Paper |
| Coupling Requirements for Multiphysics Problems Posed on Two Domains | 2017-11-27 | Paper |
| A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain | 2017-10-27 | Paper |
| Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods | 2017-10-27 | Paper |
| Exact non-reflecting boundary conditions revisited: well-posedness and stability | 2017-10-06 | Paper |
| Simulation of Wave Propagation Along Fluid-Filled Cracks Using High-Order Summation-by-Parts Operators and Implicit-Explicit Time Stepping | 2017-08-28 | Paper |
| Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems | 2017-08-22 | Paper |
| Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling | 2017-07-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268580 | 2017-06-20 | Paper |
| Fluid Structure Interaction Problems: the Necessity of a Well Posed, Stable and Accurate Formulation | 2017-06-20 | Paper |
| Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations | 2016-12-20 | Paper |
| A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data | 2016-12-20 | Paper |
| Hyperbolic systems of equations posed on erroneous curved domains | 2016-12-20 | Paper |
| Summation-by-parts in time | 2016-12-05 | Paper |
| High-order accurate difference schemes for the Hodgkin-Huxley equations | 2016-12-05 | Paper |
| A stochastic Galerkin method for the Euler equations with roe variable transformation | 2016-12-05 | Paper |
| Duality based boundary conditions and dual consistent finite difference discretizations of the Navier-Stokes and Euler equations | 2016-12-05 | Paper |
| Review of summation-by-parts schemes for initial-boundary-value problems | 2016-12-05 | Paper |
| The SBP-SAT technique for initial value problems | 2016-12-05 | Paper |
| Fully discrete energy stable high order finite difference methods for hyperbolic problems in deforming domains | 2016-12-05 | Paper |
| Uniformly best wavenumber approximations by spatial central difference operators | 2016-12-05 | Paper |
| A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator | 2016-12-05 | Paper |
| Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation | 2016-11-02 | Paper |
| Higher Order Accurate Solutions for Flow in a Cavity: Experiences and Lessons Learned | 2016-11-02 | Paper |
| Efficient fully discrete summation-by-parts schemes for unsteady flow problems | 2016-10-21 | Paper |
| Well-posedness, stability and conservation for a discontinuous interface problem | 2016-06-10 | Paper |
| Summation-By-Parts in Time: The Second Derivative | 2016-06-01 | Paper |
| Energy Stable Model Reduction of Neurons by Nonnegative Discrete Empirical Interpolation | 2016-04-15 | Paper |
| Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems | 2015-08-26 | Paper |
| Polynomial chaos methods for hyperbolic partial differential equations. Numerical techniques for fluid dynamics problems in the presence of uncertainties | 2015-04-15 | Paper |
| An intrusive hybrid method for discontinuous two-phase flow under uncertainty | 2014-06-19 | Paper |
| On stability and monotonicity requirements of finite difference approximations of stochastic conservation laws with random viscosity | 2014-05-13 | Paper |
| On the impact of boundary conditions on dual consistent finite difference discretizations | 2014-05-12 | Paper |
| Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form | 2014-04-23 | Paper |
| Energy decay of vortices in viscous fluids: an applied mathematics view | 2013-11-21 | Paper |
| Simulation of dynamic earthquake ruptures in complex geometries using high-order finite difference methods | 2013-08-01 | Paper |
| Linear and Nonlinear Boundary Conditions for Wave Propagation Problems | 2013-04-10 | Paper |
| Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains | 2012-09-26 | Paper |
| Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations | 2012-08-19 | Paper |
| A hybrid method for unsteady inviscid fluid flow | 2012-07-11 | Paper |
| A computational study of vortex-airfoil interaction using high-order finite difference methods | 2012-07-11 | Paper |
| Interaction of waves with frictional interfaces using summation-by-parts difference operators: weak enforcement of nonlinear boundary conditions | 2012-05-23 | Paper |
| Stable Robin solid wall boundary conditions for the Navier-Stokes equations | 2011-12-28 | Paper |
| Interface procedures for finite difference approximations of the advection-diffusion equation | 2011-12-19 | Paper |
| Boundary procedures for the time-dependent Burgers' equation under uncertainty | 2011-07-19 | Paper |
| A stable and conservative method for locally adapting the design order of finite difference schemes | 2011-07-13 | Paper |
| Energy Stability of the MUSCL Scheme | 2011-05-18 | Paper |
| A Stable and High Order Interface Procedure for Conjugate Heat Transfer Problems | 2011-05-18 | Paper |
| Efficiency of Shock Capturing Schemes for Burgers’ Equation with Boundary Uncertainty | 2011-05-18 | Paper |
| Revisiting and extending interface penalties for multi-domain summation-by-parts operators | 2011-01-16 | Paper |
| A stable and high-order accurate conjugate heat transfer problem | 2010-07-28 | Paper |
| High-order accurate computations for unsteady aerodynamics | 2009-12-07 | Paper |
| Numerical analysis of the Burgers' equation in the presence of uncertainty | 2009-11-17 | Paper |
| A stable and conservative high order multi-block method for the compressible Navier-Stokes equations | 2009-11-16 | Paper |
| Analysis of the order of accuracy for node-centered finite volume schemes | 2009-08-07 | Paper |
| Error Bounded Schemes for Time-dependent Hyperbolic Problems | 2009-03-10 | Paper |
| An accuracy evaluation of unstructured node-centred finite volume methods | 2008-07-11 | Paper |
| A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions | 2008-05-16 | Paper |
| A stable and efficient hybrid scheme for viscous problems in complex geometries | 2007-11-01 | Paper |
| A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions | 2007-09-14 | Paper |
| Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation | 2007-02-14 | Paper |
| High order finite difference methods for wave propagation in discontinuous media | 2007-01-09 | Paper |
| A stable and efficient hybrid method for aeroacoustic sound generation and propagation | 2006-12-07 | Paper |
| Stable artificial dissipation operators for finite volume schemes on unstructured grids | 2006-11-15 | Paper |
| On the order of accuracy for difference approximations of initial-boundary value problems | 2006-11-15 | Paper |
| A stable hybrid method for hyperbolic problems | 2006-01-10 | Paper |
| Steady-state computations using summation-by-parts operators | 2005-11-09 | Paper |
| Well-Posed Boundary Conditions for the Navier--Stokes Equations | 2005-10-28 | Paper |
| Stable and accurate artificial dissipation | 2005-01-17 | Paper |
| Stability of finite volume approximations for the Laplacian operator on quadrilateral and triangular grids | 2004-10-12 | Paper |
| Summation by parts operators for finite difference approximations of second derivatives | 2004-10-12 | Paper |
| High order finite difference approximations of electromagnetic wave propagation close to material discontinuities | 2003-08-20 | Paper |
| Finite volume methods, unstructured meshes and strict stability for hyperbolic problems | 2003-06-17 | Paper |
| Analysis of extrapolation boundary conditions for the linearized Euler equations | 2003-03-10 | Paper |
| High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates | 2002-01-27 | Paper |
| Finite volume approximations and strict stability for hyperbolic problems | 2001-10-10 | Paper |
| Elimination of First Order Errors in Shock Calculations | 2001-03-19 | Paper |
| A stable and conservative interface treatment of arbitrary spatial accuracy | 1999-09-29 | Paper |
| Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations | 1999-09-29 | Paper |
| On flux-extrapolation at supersonic outflow boundaries | 1999-06-29 | Paper |
| The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows | 1999-06-24 | Paper |
| On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations | 1997-07-17 | Paper |
| The use of characteristic boundary conditions for the Navier-Stokes equations | 1996-09-22 | Paper |
| Accurate solutions of the Navier-Stokes equations despite unknown outflow boundary data | 1996-08-11 | Paper |
| Extrapolation procedures for the time-dependent Navier-Stokes equations | 1993-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5202765 | 1990-01-01 | Paper |
| The influence of open boundary conditions on the convergence to steady state for the Navier-Stokes equations | 1989-01-01 | Paper |
