| Publication | Date of Publication | Type |
|---|
| SGEM: stochastic gradient with energy and momentum | 2024-03-26 | Paper |
| On the SAV‐DG method for a class of fourth order gradient flows | 2023-12-12 | Paper |
| A positivity‐preserving and energy stable scheme for a quantum diffusion equation | 2023-12-12 | Paper |
| Data-driven optimal control with neural network modeling of gradient flows | 2023-12-02 | Paper |
| Global Dynamics and Photon Loss in the Kompaneets Equation | 2023-10-31 | Paper |
| Critical thresholds in the Euler-Poisson-alignment system | 2023-10-11 | Paper |
| Adaptive Preconditioned Gradient Descent with Energy | 2023-10-10 | Paper |
| Data-driven optimal control of a SEIR model for COVID-19 | 2023-04-19 | Paper |
| Radially symmetric solutions of the ultra-relativistic Euler equations | 2023-03-22 | Paper |
| On critical thresholds for hyperbolic balance law systems | 2023-02-24 | Paper |
| A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems | 2023-02-08 | Paper |
| A dynamic mass transport method for Poisson-Nernst-Planck equations | 2022-11-29 | Paper |
| Anderson acceleration of gradient methods with energy for optimization problems | 2022-11-15 | Paper |
| On the invariant region for compressible Euler equations with a general equation of state | 2022-10-24 | Paper |
| An Adaptive Gradient Method with Energy and Momentum | 2022-06-10 | Paper |
| Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations | 2022-05-04 | Paper |
| A dynamic mass transport method for Poisson-Nernst-Planck equations | 2022-05-03 | Paper |
| Numerical study of non-uniqueness for 2D compressible isentropic Euler equations | 2022-04-29 | Paper |
| Positive and free energy satisfying schemes for diffusion with interaction potentials | 2022-04-14 | Paper |
| Critical thresholds in 1D pressureless Euler-Poisson systems with variable background | 2022-03-16 | Paper |
| Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel | 2022-02-22 | Paper |
| High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation | 2022-02-16 | Paper |
| Necessary conditions for blow-up solutions to the restricted Euler-Poisson equations | 2022-02-16 | Paper |
| Sharp critical thresholds in a hyperbolic system with relaxation | 2022-02-14 | Paper |
| A mass- and energy-conserved DG method for the Schrödinger-Poisson equation | 2022-01-13 | Paper |
| Dynamics of many species through competition for resources | 2021-12-08 | Paper |
| Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schr ¨odinger Equations | 2021-11-01 | Paper |
| Unconditional Positivity-Preserving and Energy StableSchemesforaReducedPoisson-Nernst-Planck System | 2021-11-01 | Paper |
| An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation | 2021-10-27 | Paper |
| Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation | 2021-10-26 | Paper |
| An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System | 2021-10-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5153484 | 2021-09-29 | Paper |
| Well-posedness and critical thresholds in a nonlocal Euler system with relaxation | 2021-09-10 | Paper |
| Efficient, positive, and energy stable schemes for multi-d Poisson-Nernst-Planck systems | 2021-06-15 | Paper |
| Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations | 2021-04-28 | Paper |
| On accuracy of the mass-preserving DG method to multi-dimensional Schrödinger equations | 2021-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4964257 | 2021-02-25 | Paper |
| Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation | 2021-02-12 | Paper |
| Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations | 2021-01-29 | Paper |
| Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity | 2021-01-26 | Paper |
| Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows | 2020-12-31 | Paper |
| Data-driven optimal control of a SEIR model for COVID-19 | 2020-12-01 | Paper |
| Critical thresholds in one-dimensional damped Euler–Poisson systems | 2020-10-23 | Paper |
| Selection dynamics for deep neural networks | 2020-10-13 | Paper |
| Numerical Study of Non-uniqueness for 2D Compressible Isentropic Euler Equations | 2020-09-20 | Paper |
| Thresholds in three-dimensional restricted Euler-Poisson equations. | 2020-06-25 | Paper |
| Error estimates for Gaussian beam methods applied to symmetric strictly hyperbolic systems | 2020-06-18 | Paper |
| An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system | 2020-05-16 | Paper |
| Radially symmetric solutions of the ultra-relativistic Euler equations | 2020-02-04 | Paper |
| A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations | 2020-01-10 | Paper |
| General superpositions of Gaussian beams and propagation errors | 2019-12-27 | Paper |
| Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model | 2019-12-03 | Paper |
| Unconditionally energy stable DG schemes for the Swift-Hohenberg equation | 2019-11-13 | Paper |
| Positive and free energy satisfying schemes for diffusion with interaction potentials | 2019-09-30 | Paper |
| A note to paper: Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential | 2019-09-29 | Paper |
| A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations | 2019-08-28 | Paper |
| Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations | 2019-07-04 | Paper |
| An invariant‐region‐preserving limiter for DG schemes to isentropic Euler equations | 2019-06-26 | Paper |
| Error estimates of the third order runge-kutta alternating evolution discontinuous galerkin method for convection-diffusion problems | 2019-04-24 | Paper |
| An invariant-region-preserving (IRP) limiter to DG methods for compressible Euler equations | 2019-02-18 | Paper |
| A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems | 2019-01-31 | Paper |
| Alternating evolution methods for static Hamilton-Jacobi equations | 2019-01-29 | Paper |
| A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems | 2018-12-13 | Paper |
| On a non-local selection–mutation model with a gradient flow structure | 2017-12-13 | Paper |
| Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations | 2017-10-30 | Paper |
| An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation | 2017-10-27 | Paper |
| On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System | 2017-10-27 | Paper |
| A finite volume method for nonlocal competition-mutation equations with a gradient flow structure | 2017-10-13 | Paper |
| The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections | 2017-06-20 | Paper |
| Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations | 2017-01-26 | Paper |
| Mass preserving discontinuous Galerkin methods for Schrödinger equations | 2016-12-20 | Paper |
| Alternating evolution discontinuous Galerkin methods for convection-diffusion equations | 2016-12-20 | Paper |
| Sobolev and max norm error estimates for Gaussian beam superpositions | 2016-12-05 | Paper |
| Entropy/energy stable schemes for evolutionary dispersal models | 2016-12-05 | Paper |
| Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations | 2016-12-05 | Paper |
| A free energy satisfying finite difference method for Poisson-Nernst-Planck equations | 2016-12-05 | Paper |
| A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation | 2016-12-05 | Paper |
| An entropy satisfying discontinuous Galerkin method for nonlinear Fokker-Planck equations | 2016-10-28 | Paper |
| Oscillatory traveling wave solutions to an attractive chemotaxis system | 2016-10-21 | Paper |
| Error estimates of the Bloch band-based Gaussian beam superposition for the Schrödinger equation | 2016-09-02 | Paper |
| Global Dynamics of Bose--Einstein Condensation for a Model of the Kompaneets Equation | 2016-07-26 | Paper |
| An Invariant Preserving Discontinuous Galerkin Method for the Camassa--Holm Equation | 2016-07-07 | Paper |
| Threshold for shock formation in the hyperbolic Keller-Segel model | 2015-11-30 | Paper |
| The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations | 2015-07-24 | Paper |
| Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations | 2015-07-20 | Paper |
| Time-asymptotic convergence rates towards the discrete evolutionary stable distribution | 2015-06-08 | Paper |
| Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions | 2015-06-03 | Paper |
| Asymptotic stability of stationary discrete shocks of Lax-Friedrichs scheme for non-convex conservation laws | 2015-03-03 | Paper |
| The alternating evolution methods for first order nonlinear partial differential equations | 2015-02-12 | Paper |
| A local discontinuous Galerkin method for the Burgers-Poisson equation | 2015-02-03 | Paper |
| Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations | 2015-01-23 | Paper |
| Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics | 2014-12-08 | Paper |
| Gaussian Beam Methods for the Helmholtz Equation | 2014-09-26 | Paper |
| A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: energy conservation and boundary effect | 2014-08-27 | Paper |
| On traveling wave solutions of the \(\theta\)-equation of dispersive type | 2014-08-26 | Paper |
| A conservative discontinuous Galerkin method for the Degasperis-Procesi equation | 2014-06-25 | Paper |
| Alternating Evolution Schemes for Hamilton--Jacobi Equations | 2013-04-29 | Paper |
| Error estimates for Gaussian beam superpositions | 2013-03-20 | Paper |
| The Cauchy--Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids | 2013-02-04 | Paper |
| An Entropy Satisfying Conservative Method for the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model | 2012-08-23 | Paper |
| Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit | 2012-06-13 | Paper |
| Recovery of normal derivatives from the piecewise \(L^2\) projection | 2012-05-18 | Paper |
| Alternating Evolution Schemes for Hyperbolic Conservation Laws | 2012-02-23 | Paper |
| Global well-posedness for the microscopic FENE model with a sharp boundary condition | 2011-12-06 | Paper |
| A level set approach for dilute non-collisional fluid-particle flows | 2011-03-17 | Paper |
| Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations | 2011-03-02 | Paper |
| Superposition of multi-valued solutions in high frequency wave dynamics | 2011-01-16 | Paper |
| Global regularity of the 4D restricted Euler equations | 2010-08-19 | Paper |
| Recovery of High Frequency Wave Fields for the Acoustic Wave Equation | 2010-06-10 | Paper |
| Recovery of High Frequency Wave Fields from Phase Space–Based Measurements | 2010-06-10 | Paper |
| The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems | 2010-03-24 | Paper |
| Kinetic models for polymers with inertial effects | 2010-03-10 | Paper |
| Semiclassical limit of the nonlinear Schrödinger-Poisson equation with subcritical initial data. | 2009-08-06 | Paper |
| Critical thresholds in hyperbolic relaxation systems | 2009-06-10 | Paper |
| Critical thresholds in a relaxation system with resonance of characteristic speeds | 2009-05-29 | Paper |
| A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations | 2009-05-12 | Paper |
| Global attractor for a nonlinear thermoviscoelastic system in shape memory alloys | 2008-12-17 | Paper |
| Boundary Conditions for the Microscopic FENE Models | 2008-10-28 | Paper |
| On discreteness of the Hopf equation | 2008-09-22 | Paper |
| RIGOROUS DERIVATION OF THE HYDRODYNAMICAL EQUATIONS FOR ROTATING SUPERFLUIDS | 2008-08-26 | Paper |
| AN ALTERNATING EVOLUTION APPROXIMATION TO SYSTEMS OF HYPERBOLIC CONSERVATION LAWS | 2008-08-26 | Paper |
| Critical thresholds in a relaxation model for traffic flows | 2008-08-26 | Paper |
| A NONLOCAL CONSERVATION LAW WITH NONLINEAR "RADIATION" INHOMOGENEITY | 2008-08-26 | Paper |
| A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations | 2007-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3593763 | 2007-08-06 | Paper |
| Computing multi-valued velocity and electric fields for 1D Euler-Poisson equations | 2007-05-30 | Paper |
| Global orientation dynamics for liquid crystalline polymers | 2007-05-23 | Paper |
| Wave Breaking in a Class of Nonlocal Dispersive Wave Equations | 2007-04-19 | Paper |
| A level set framework for capturing multi-valued solutions of nonlinear first-order equations | 2007-02-14 | Paper |
| Stability of a traffic flow model with nonconvex relaxation | 2006-06-26 | Paper |
| Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential | 2006-06-26 | Paper |
| A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect | 2006-05-16 | Paper |
| Relaxation Dynamics, Scaling Limits and Convergence of Relaxation Schemes | 2006-04-28 | Paper |
| Critical thresholds in the semiclassical limit of 2D rotational Schrödinger equations | 2006-03-21 | Paper |
| Computational high-frequency wave propagation using the level set method with applications to the semi-classical limit of Schrödinger equations | 2006-01-16 | Paper |
| Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems | 2005-10-07 | Paper |
| Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation | 2005-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4657215 | 2005-03-14 | Paper |
| PATTERN FORMATION, WAVE PROPAGATION AND STABILITY IN CONSERVATION LAWS WITH SLOW DIFFUSION AND FAST REACTION | 2005-03-14 | Paper |
| KdV dynamics in the plasma-sheath transition. | 2005-02-25 | Paper |
| Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids | 2004-11-12 | Paper |
| Rotation prevents finite-time breakdown | 2004-08-10 | Paper |
| Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids | 2003-09-30 | Paper |
| Critical Thresholds in 2D Restricted Euler-Poisson Equations | 2003-09-28 | Paper |
| Asymptotic stability of relaxation shock profiles for hyperbolic conservation laws. | 2003-08-25 | Paper |
| Convergence rates to traveling waves for viscous conservation laws with dispersion | 2003-03-18 | Paper |
| Spectral dynamics of the velocity gradient field in restricted flows | 2002-12-01 | Paper |
| The $l^1$ global decay to discrete shocks for scalar monotone schemes | 2002-11-19 | Paper |
| TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM | 2002-11-13 | Paper |
| Asymptotic decay to relaxation shock fronts in two dimensions | 2002-09-25 | Paper |
| The \(L^p\) stability of relaxation rarefaction profiles | 2002-07-22 | Paper |
| Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation | 2002-07-22 | Paper |
| Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws | 2002-04-08 | Paper |
| Convergence rates to discrete shocks for nonconvex conservation laws | 2002-03-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2730766 | 2002-03-18 | Paper |
| Critical thresholds in Euler-Poisson equations | 2002-01-30 | Paper |
| A diffusive subcharacteristic condition for hyperbolic systems with diffusive relaxation | 2001-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762789 | 2001-02-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4514295 | 2000-11-14 | Paper |
| Convergence Rates for Relaxation Schemes Approximating Conservation Laws | 2000-10-19 | Paper |
| The LIP+ -Stability and Error Estimates for a Relaxation Scheme | 2000-10-19 | Paper |
| Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes | 2000-04-03 | Paper |
| Convergence rates to the discrete travelling wave for relaxation schemes | 2000-03-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4247612 | 1999-11-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4221635 | 1999-06-14 | Paper |
| Diffusion limit of a hyperbolic system with relaxation | 1999-05-27 | Paper |
| Decay rate for travelling waves of a relaxation model | 1999-03-04 | Paper |
| Stability of a Relaxation Model with a Nonconvex Flux | 1998-05-11 | Paper |
| Existence of the discrete travelling waves for a relaxing scheme | 1997-12-14 | Paper |
| Asymptotic stability of shock profiles for nonconvex convection-diffusion equation | 1997-10-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4716399 | 1997-08-04 | Paper |
| Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws | 1997-02-03 | Paper |
| Decay rate for perturbations of stationary discrete shocks for convex scalar conservation laws | 1997-01-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4698435 | 1995-06-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4024354 | 1993-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4025622 | 1993-02-18 | Paper |
