| Publication | Date of Publication | Type |
|---|
| Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations | 2024-04-17 | Paper |
| Efficient Entropy-Stable Discontinuous Spectral-Element Methods Using Tensor-Product Summation-by-Parts Operators on Triangles and Tetrahedra | 2023-12-12 | Paper |
| Quadrature Rules on Triangles and Tetrahedra for Multidimensional Summation-By-Parts Operators | 2023-11-27 | Paper |
| A Solution to the Ill-Conditioning of Gradient-Enhanced Covariance Matrices for Gaussian Processes | 2023-07-11 | Paper |
| A non-intrusive solution to the ill-conditioning problem of the gradient-enhanced Gaussian covariance matrix for Gaussian processes | 2023-06-20 | Paper |
| Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra | 2023-06-09 | Paper |
| Accurate high-order tensor-product generalized summation-by-parts discretizations of hyperbolic conservation laws: general curved domains and functional superconvergence | 2022-09-28 | Paper |
| A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property | 2022-08-05 | Paper |
| Unisolvency for polynomial interpolation in simplices with symmetrical nodal distributions | 2022-08-04 | Paper |
| Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators | 2022-04-29 | Paper |
| Stability and functional superconvergence of narrow-stencil second-derivative generalized summation-by-parts discretizations | 2022-01-10 | Paper |
| Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators | 2020-12-14 | Paper |
| Optimization of multidimensional diagonal-norm summation-by-parts operators on simplices | 2020-07-07 | Paper |
| Entropy-stable multidimensional summation-by-parts discretizations on \textit{hp}-adaptive curvilinear grids for hyperbolic conservation laws | 2020-05-07 | Paper |
| Superconvergent functional estimates from tensor-product generalized summation-by-parts discretizations in curvilinear coordinates | 2020-02-26 | Paper |
| Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates | 2019-10-22 | Paper |
| Optimization of high-order diagonally-implicit Runge-Kutta methods | 2019-06-26 | Paper |
| Monolithic homotopy continuation with predictor based on higher derivatives | 2018-11-16 | Paper |
| Matrix-free monolithic homotopy continuation with application to computational aerodynamics | 2018-08-10 | Paper |
| Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations | 2018-06-19 | Paper |
| Conservative and stable degree preserving SBP operators for non-conforming meshes | 2018-06-01 | Paper |
| Simultaneous approximation terms for multi-dimensional summation-by-parts operators | 2018-04-26 | Paper |
| Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements | 2018-02-22 | Paper |
| Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy | 2018-01-25 | Paper |
| Design and evaluation of homotopies for efficient and robust continuation | 2017-06-22 | Paper |
| The Design of Steady State Schemes for Computational Aerodynamics | 2017-05-18 | Paper |
| Dual consistency and functional accuracy: a finite-difference perspective | 2016-12-05 | Paper |
| A monolithic homotopy continuation algorithm with application to computational fluid dynamics | 2016-12-05 | Paper |
| Generalized Summation by Parts Operators: Second Derivative and Time-Marching Methods | 2016-11-02 | Paper |
| Comparison of Parallel Preconditioners for a Newton-Krylov Flow Solver | 2016-09-30 | Paper |
| Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements | 2016-07-07 | Paper |
| Simultaneous Approximation Terms for Multi-Dimensional Summation-by-Parts Operators | 2016-05-10 | Paper |
| Efficient numerical differentiation of implicitly-defined curves for sparse systems | 2016-04-22 | Paper |
| Generalized Summation-by-Parts Operators for the Second Derivative | 2015-12-18 | Paper |
| High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators | 2015-11-25 | Paper |
| An adaptive geometry parametrization for aerodynamic shape optimization | 2015-02-04 | Paper |
| Runge-Kutta Characterization of the Generalized Summation-by-Parts Approach in Time | 2014-10-01 | Paper |
| A generalized framework for nodal first derivative summation-by-parts operators | 2014-08-12 | Paper |
| Fundamental Algorithms in Computational Fluid Dynamics | 2014-07-30 | Paper |
| A comparative evaluation of genetic and gradient-based algorithms applied to aerodynamic optimization | 2014-07-28 | Paper |
| The optimal control of unsteady flows with a discrete adjoint method | 2013-10-24 | Paper |
| Summation-by-parts operators and high-order quadrature | 2012-10-22 | Paper |
| A hybrid algorithm for far-field noise minimization | 2012-08-30 | Paper |
| Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations | 2011-10-28 | Paper |
| A Simplified and Flexible Variant of GCROT for Solving Nonsymmetric Linear Systems | 2011-04-19 | Paper |
| Three-dimensional aerodynamic computations on unstructured grids using a Newton-Krylov approach | 2010-09-16 | Paper |
| A perspective on turbulence models for aerodynamic flows | 2010-04-15 | Paper |
| A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows | 2009-05-12 | Paper |
| A Newton-Krylov Algorithm for Aerodynamic Analysis and Design | 2005-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550835 | 2003-11-10 | Paper |
| Comparison of several spatial discretizations for the Navier-Stokes equations | 2001-08-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2732682 | 2001-08-09 | Paper |
| Numerical Solution of the Time-Domain Maxwell Equations Using High-Accuracy Finite-Difference Methods | 2001-03-19 | Paper |
| Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation | 2000-10-19 | Paper |
| Runge-Kutta methods for linear ordinary differential equations | 2000-04-24 | Paper |
| Improvements to a Dual-Time-Stepping Method for Computing Unsteady Flows | 1998-11-15 | Paper |
| High-Lift Aerodynamic Computations with One- and Two-Equation Turbulence Models | 1998-03-30 | Paper |
| Viscous airfoil computations using adaptive grid redistribution | 1996-11-20 | Paper |
| High-Accuracy Finite-Difference Schemes for Linear Wave Propagation | 1996-06-06 | Paper |
| Finite-difference schemes on regular triangular grids | 1995-01-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4295528 | 1994-12-11 | Paper |
| A Method of Smooth Bivariate Interpolation for Data Given on a Generalized Curvilinear Grid | 1992-08-13 | Paper |
