| Publication | Date of Publication | Type |
|---|
| Complete radiation boundary conditions for the Helmholtz equation. II: Domains with corners | 2023-05-19 | Paper |
| An energy-based discontinuous Galerkin method with tame CFL numbers for the wave equation | 2023-02-16 | Paper |
| The Hermite-Taylor Correction Function Method for Embedded Boundary and Maxwell's Interface Problems | 2023-01-04 | Paper |
| Energy-based discontinuous Galerkin difference methods for second-order wave equations | 2022-08-10 | Paper |
| Continuous/discontinuous Galerkin difference discretizations of high-order differential operators | 2022-08-04 | Paper |
| An energy-based discontinuous Galerkin method for semilinear wave equations | 2022-04-11 | Paper |
| Hermite methods in time | 2021-12-02 | Paper |
| Variations on Hermite Methods for Wave Propagation | 2021-10-26 | Paper |
| An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation | 2021-10-13 | Paper |
| Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form | 2021-06-29 | Paper |
| Energy-based discontinuous Galerkin difference methods for second-order wave equations | 2021-05-04 | Paper |
| High-order discretization of a stable time-domain integral equation for 3D acoustic scattering | 2021-01-27 | Paper |
| Robust approaches to handling complex geometries with Galerkin difference methods | 2021-01-26 | Paper |
| The Number of Boundary Conditions for Initial Boundary Value Problems | 2020-10-14 | Paper |
| Optimized first-order absorbing boundary conditions for anisotropic elastodynamics | 2020-04-16 | Paper |
| An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form | 2020-04-08 | Paper |
| The double absorbing boundary method for a class of anisotropic elastic media | 2020-04-06 | Paper |
| Galerkin Differences for High-Order Partial Differential Equations | 2020-03-27 | Paper |
| Discontinuous Galerkin difference methods for symmetric hyperbolic systems | 2020-01-31 | Paper |
| An energy-based discontinuous Galerkin method for semilinear wave equations | 2020-01-27 | Paper |
| On two new inequalities for Leray solutions of the Navier-Stokes equations in \(\mathbb{R}^n\) | 2019-11-28 | Paper |
| An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection | 2019-11-08 | Paper |
| Leapfrog time-stepping for Hermite methods | 2019-07-26 | Paper |
| Galerkin differences for acoustic and elastic wave equations in two space dimensions | 2019-06-28 | Paper |
| Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides | 2019-03-18 | Paper |
| Hermite Methods for the Scalar Wave Equation | 2018-12-07 | Paper |
| GPU acceleration of Hermite methods for the simulation of wave propagation | 2018-02-15 | Paper |
| Numerical experiments on a nonlinear wave equation with singular solutions | 2018-02-15 | Paper |
| Complete Radiation Boundary Conditions for Convective Waves | 2017-10-27 | Paper |
| Double absorbing boundaries for finite-difference time-domain electromagnetics | 2017-10-26 | Paper |
| An inequality for solutions of the Navier-Stokes equations in Rn | 2017-07-01 | Paper |
| HIGH-ORDER RADIATION BOUNDARY CONDITIONS FOR STRATIFIED MEDIA AND CURVILINEAR COORDINATES | 2017-05-09 | Paper |
| STRESS–VELOCITY COMPLETE RADIATION BOUNDARY CONDITIONS | 2017-05-09 | Paper |
| Long-time stable high-order absorbing boundary conditions for elastodynamics | 2017-01-12 | Paper |
| The solution of the scalar wave equation in the exterior of a sphere | 2016-12-20 | Paper |
| Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain | 2016-12-20 | Paper |
| A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations | 2016-12-05 | Paper |
| The double absorbing boundary method | 2016-12-05 | Paper |
| On Galerkin difference methods | 2016-12-05 | Paper |
| Solving PDEs with Hermite Interpolation | 2016-11-02 | Paper |
| On the stability of time-domain integral equations for acoustic wave propagation | 2016-03-29 | Paper |
| A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form | 2016-01-05 | Paper |
| High-resolution difference methods with exact evolution for multidimensional waves | 2015-05-06 | Paper |
| Double Absorbing Boundary Formulations for Acoustics and Elastodynamics | 2014-09-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5400976 | 2014-03-12 | Paper |
| P-adaptive Hermite methods for initial value problems | 2013-08-14 | Paper |
| Grid stabilization of high-order one-sided differencing. II: Second-order wave equations | 2012-12-20 | Paper |
| On generalized discrete PML optimized for propagative and evanescent waves | 2012-10-29 | Paper |
| A finite element scheme with a high order absorbing boundary condition for elastodynamics | 2011-12-19 | Paper |
| Analysis of supercontinuum generation under general dispersion characteristics and beyond the slowly varying envelope approximation | 2011-04-06 | Paper |
| Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods | 2010-11-11 | Paper |
| A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems | 2010-10-19 | Paper |
| Radiation boundary conditions for time-dependent waves based on complete plane wave expansions | 2010-06-10 | Paper |
| High-order absorbing boundary conditions for anisotropic and convective wave equations | 2010-02-09 | Paper |
| Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes | 2010-01-06 | Paper |
| LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES | 2008-05-28 | Paper |
| High-order local absorbing conditions for the wave equation: Extensions and improvements | 2008-03-28 | Paper |
| Automatic Symmetrization and Energy Estimates Using Local Operators for Partial Differential Equations | 2007-10-24 | Paper |
| Finite element formulation with high-order absorbing boundary conditions for time-dependent waves | 2007-09-20 | Paper |
| Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations | 2007-05-23 | Paper |
| Grid stabilization of high-order one-sided differencing. I: First-order hyperbolic systems | 2007-04-18 | Paper |
| Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability | 2007-03-27 | Paper |
| On the spectral deferred correction of splitting methods for initial value problems | 2006-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5493513 | 2006-10-23 | Paper |
| Hermite methods for hyperbolic initial-boundary value problems | 2006-03-27 | Paper |
| A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems | 2005-09-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4450070 | 2004-02-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4450194 | 2004-02-15 | Paper |
| On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows | 2003-10-13 | Paper |
| Decay in time of incompressible flows | 2003-08-27 | Paper |
| Analysis of extrapolation boundary conditions for the linearized Euler equations | 2003-03-10 | Paper |
| Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains | 2003-01-05 | Paper |
| Nonreflecting boundary conditions for the time-dependent wave equation | 2002-09-17 | Paper |
| Locating discontinuities of a bounded function by the partial sums of its Fourier series | 2001-04-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4518050 | 2001-01-10 | Paper |
| An integral evolution formula for the wave equation | 2000-11-06 | Paper |
| Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation | 2000-10-19 | Paper |
| Detecting the singularities of a function of \(V_p\) class by its integrated Fourier series | 2000-09-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4938225 | 2000-07-10 | Paper |
| Experiments with approximate radiation boundary conditions for computational aeroacoustics | 1999-10-25 | Paper |
| A formulation of asymptotic and exact boundary conditions using local operators | 1999-09-12 | Paper |
| All-Time Existence of Classical Solutions for Slightly Compressible Flows | 1998-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499665 | 1998-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499667 | 1998-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4341114 | 1997-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332588 | 1997-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4332589 | 1997-02-13 | Paper |
| All-time existence of smooth solutions to PDEs of mixed type and the invariant subspace of uniform states | 1997-02-03 | Paper |
| An efficient spectral method for ordinary differential equations with rational function coefficients | 1996-06-18 | Paper |
| Open boundary conditions for a parabolic system | 1995-02-09 | Paper |
| On the Accurate Long-Time Solution of the Wave Equation in Exterior Domains: Asymptotic Expansions and Corrected Boundary Conditions | 1994-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4279370 | 1994-02-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3976487 | 1992-06-26 | Paper |
| Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow | 1991-01-01 | Paper |
| Asymptotic Boundary Conditions for Dissipative Waves: General Theory | 1991-01-01 | Paper |
| Multidimensional Travelling Wave Solutions to Reaction-Diffusion Equations | 1989-01-01 | Paper |
| Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems | 1988-01-01 | Paper |
| Accurate Boundary Conditions for Exterior Problems in Gas Dynamics | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3777691 | 1988-01-01 | Paper |
| Boundary conditions at outflow for a problem with transport and diffusion | 1987-01-01 | Paper |
| Asymptotic Boundary Conditions and Numerical Methods for Nonlinear Elliptic Problems on Unbounded Domains | 1987-01-01 | Paper |
| Asymptotic Expansions and Boundary Conditions for Time-Dependent Problems | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3833573 | 1986-01-01 | Paper |
| The Numerical Calculation of Traveling Wave Solutions of Nonlinear Parabolic Equations | 1986-01-01 | Paper |
| Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders | 1986-01-01 | Paper |
