| Publication | Date of Publication | Type |
|---|
| Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method | 2022-12-21 | Paper |
| On the theoretical foundation of overset grid methods for hyperbolic problems. II: Entropy bounded formulations for nonlinear conservation laws | 2022-10-21 | Paper |
| HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications | 2022-06-20 | Paper |
| On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation | 2022-05-03 | Paper |
| A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations | 2022-04-19 | Paper |
| An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility | 2022-04-08 | Paper |
| Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system | 2022-04-08 | Paper |
| On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws | 2022-03-21 | Paper |
| Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations | 2021-12-02 | Paper |
| Construction of modern robust nodal discontinuous Galerkin spectral element methods for the compressible Navier-Stokes equations | 2021-09-17 | Paper |
| A split-form, stable CG/DG-SEM for wave propagation modeled by linear hyperbolic systems | 2021-08-31 | 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 free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation | 2021-01-28 | Paper |
| A high resolution PDE approach to quadrilateral mesh generation | 2021-01-27 | Paper |
| Assessing standard and kinetic energy conserving volume fluxes in discontinuous Galerkin formulations for marginally resolved Navier-Stokes flows | 2020-06-15 | Paper |
| Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system | 2019-10-24 | Paper |
| Naturally curved quadrilateral mesh generation using an adaptive spectral element solver | 2019-08-12 | Paper |
| Free-stream preservation for curved geometrically non-conforming discontinuous Galerkin spectral elements | 2019-07-26 | Paper |
| Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compressibility | 2019-07-12 | Paper |
| Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable | 2019-03-19 | Paper |
| A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations | 2019-03-19 | Paper |
| The BR1 scheme is stable for the compressible Navier-Stokes equations | 2018-12-13 | Paper |
| Correction to: ``The BR1 scheme is stable for the compressible Navier-Stokes equations | 2018-12-13 | Paper |
| Stability of overintegration methods for nodal discontinuous Galerkin spectral element methods | 2018-08-29 | Paper |
| Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods | 2018-07-12 | Paper |
| A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes | 2018-06-26 | Paper |
| A polynomial spectral calculus for analysis of DG spectral element methods | 2018-02-15 | Paper |
| An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry | 2017-12-15 | Paper |
| Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations | 2017-10-25 | Paper |
| Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems | 2017-08-22 | Paper |
| ALE-DGSEM approximation of wave reflection and transmission from a moving medium | 2016-12-05 | Paper |
| Efficient and High-Order Explicit Local Time Stepping on Moving DG Spectral Element Meshes | 2016-11-02 | Paper |
| Quasi-a priori truncation error estimation in the DGSEM | 2015-09-30 | Paper |
| An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems | 2014-11-17 | Paper |
| High-order local time stepping on moving DG spectral element meshes | 2014-04-08 | Paper |
| A spectral element framework for option pricing under general exponential Lévy processes | 2014-01-29 | Paper |
| An Assessment of the Efficiency of Nodal Discontinuous Galerkin Spectral Element Methods | 2013-04-10 | Paper |
| Computation of the effects of uncertainty in volatility on option pricing and hedging | 2013-01-22 | Paper |
| Boundary states at reflective moving boundaries | 2012-09-04 | Paper |
| A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods | 2012-02-23 | Paper |
| Discontinuous Galerkin spectral element approximations on moving meshes | 2011-03-17 | Paper |
| A spectral element approximation to price European options. II. the Black-Scholes model with two underlying assets | 2011-01-16 | Paper |
| A spectral element method to price European options. I. Single asset with and without jump diffusion | 2011-01-16 | Paper |
| A spectral element approximation to price European options with one asset and stochastic volatility | 2011-01-16 | Paper |
| On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods | 2011-01-16 | Paper |
| Implementing Spectral Methods for Partial Differential Equations | 2009-03-12 | Paper |
| Towards efficient tracking of inertial particles with high-order multidomain methods | 2007-06-29 | Paper |
| A conservative isothermal wall boundary condition for the compressible Navier-Stokes equations | 2007-05-03 | Paper |
| Numerical simulation of the He II/He I phase transition in superconducting magnets | 2007-02-20 | Paper |
| Metric identities and the discontinuous spectral element method on curvilinear meshes | 2006-08-14 | Paper |
| Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method | 2002-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4952273 | 2000-05-09 | Paper |
| A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations | 1999-09-29 | Paper |
| Shock-fitted multidomain solution of supersonic flows | 1999-08-23 | Paper |
| Spectral solution of the viscous blunt-body problem 2 - Multidomain approximation | 1999-06-07 | Paper |
| A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method | 1997-07-31 | Paper |
| A conservative staggered-grid Chebyshev multidomain method for compressible flows | 1996-07-02 | Paper |
| Multidomain spectral solution of compressible viscous flows | 1994-12-07 | Paper |
| Multidomain spectral solutions of high-speed flows over blunt cones | 1994-05-03 | Paper |
| Spectral solution of the viscous blunt-body problem | 1993-12-20 | Paper |
| Spectral solution of inviscid supersonic flows over wedges and axisymmetric cones | 1993-01-16 | Paper |
| An Optimal Runge–Kutta Method for Steady-State Solutions of Hyperbolic Systems | 1992-09-27 | Paper |
| Multidomain spectral solution of the Euler gas-dynamics equations | 1991-01-01 | Paper |
| Solution of two-dimensional water-wave propagation problems by Chebyshev collocation | 1989-01-01 | Paper |
| Spectral collocation methods | 1989-01-01 | Paper |
| Domain decomposition with both spectral and finite difference methods for the accurate computation of flows with shocks | 1989-01-01 | Paper |
| Computation of Hyperbolic Equations on Complicated Domains with Patched and Overset Chebyshev Grids | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3829238 | 1989-01-01 | Paper |
| A practical assessment of spectral accuracy for hyperbolic problems with discontinuities | 1987-01-01 | Paper |
| A spectral multidomain method for the solution of hyperbolic systems | 1986-01-01 | Paper |
| Spectral methods for the Euler equations. I - Fourier methods and shock capturing | 1985-01-01 | Paper |
| Spectral methods for the Euler equations. II - Chebyshev methods andshock fitting | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3216342 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3342135 | 1983-01-01 | Paper |
