| Publication | Date of Publication | Type |
|---|
| A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations | 2024-04-16 | Paper |
| Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations | 2024-03-11 | Paper |
| Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems | 2023-12-15 | Paper |
| Optimal error estimates of SAV Crank-Nicolson finite element method for the coupled nonlinear Schrödinger equation | 2023-11-16 | Paper |
| Linearized fast time-stepping schemes for time-space fractional Schrödinger equations | 2023-09-12 | Paper |
| Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary | 2023-07-20 | Paper |
| Efficient and energy stable numerical schemes for the two-mode phase field crystal equation | 2023-06-20 | Paper |
| Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems | 2023-02-10 | Paper |
| Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems | 2023-02-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5871217 | 2023-01-25 | Paper |
| Data-driven method to learn the most probable transition pathway and stochastic differential equation | 2023-01-06 | Paper |
| Preconditioned SAV-leapfrog finite difference methods for spatial fractional Cahn-Hilliard equations | 2023-01-06 | Paper |
| A structure-preserving and variable-step BDF2 Fourier pseudo-spectral method for the two-mode phase field crystal model | 2022-12-07 | Paper |
| Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs | 2022-10-18 | Paper |
| Performance analysis for unconstrained analysis based approaches* | 2022-08-25 | Paper |
| Preconditioners with symmetrized techniques for space fractional Cahn-Hilliard equations | 2022-08-04 | Paper |
| Unconditionally optimal convergence of an energy-conserving and linearly implicit scheme for nonlinear wave equations | 2022-07-26 | Paper |
| A novel discrete fractional Grönwall-type inequality and its application in pointwise-in-time error estimates | 2022-06-17 | Paper |
| A stabilized fully-discrete scheme for phase field crystal equation | 2022-05-30 | Paper |
| A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions | 2021-12-17 | Paper |
| A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem | 2021-12-13 | Paper |
| A novel numerical scheme for a time fractional Black-Scholes equation | 2021-11-29 | Paper |
| A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations | 2021-11-29 | Paper |
| Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations | 2021-11-01 | Paper |
| Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain | 2021-10-29 | Paper |
| Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems | 2021-10-28 | Paper |
| Structure-preserving Gauss methods for the nonlinear Schrödinger equation | 2021-07-26 | Paper |
| Newton Linearized Methods for Semilinear Parabolic Equations | 2021-07-01 | Paper |
| Long time numerical behaviors of fractional pantograph equations | 2021-03-06 | Paper |
| Sharp pointwise-in-time error estimate of L1 scheme for nonlinear subdiffusion equations | 2021-01-12 | Paper |
| Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations | 2020-11-12 | Paper |
| A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator | 2020-10-23 | Paper |
| Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations | 2020-10-08 | Paper |
| Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations | 2020-06-16 | Paper |
| A linear finite difference scheme for generalized time fractional Burgers equation | 2020-01-29 | Paper |
| Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations | 2019-12-09 | Paper |
| A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations | 2019-11-25 | Paper |
| Exact solutions and numerical study of time fractional Burgers' equations | 2019-11-21 | Paper |
| A note on compact finite difference method for reaction-diffusion equations with delay | 2019-11-20 | Paper |
| Numerical Investigations of a Class of Biological Models on Unbounded Domain | 2019-10-02 | Paper |
| Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction | 2019-07-26 | Paper |
| A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations | 2019-06-27 | Paper |
| Stability and convergence of compact finite difference method for parabolic problems with delay | 2019-06-21 | Paper |
| Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs | 2019-03-20 | Paper |
| A Newton linearized compact finite difference scheme for one class of Sobolev equations | 2019-02-15 | Paper |
| Stepsize restrictions for nonlinear stability properties of neutral delay differential equations | 2019-02-14 | Paper |
| Stability of exact and discrete energy for non-Fickian reaction-diffusion equations with a variable delay | 2019-02-14 | Paper |
| Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations | 2018-09-04 | Paper |
| Improved genetic algorithm with two-level approximation for truss optimization by using discrete shape variables | 2018-08-27 | Paper |
| Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations | 2018-06-21 | Paper |
| Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations | 2018-05-18 | Paper |
| Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations | 2018-01-05 | Paper |
| Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system | 2017-11-10 | Paper |
| Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations | 2017-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2984798 | 2017-05-17 | Paper |
| Superconvergence of Discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations | 2017-04-20 | Paper |
| Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain | 2016-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2824380 | 2016-10-06 | Paper |
| Multistep finite difference schemes for the variable coefficient delay parabolic equations | 2016-08-25 | Paper |
| Some notes on split Newton iterative algorithm | 2016-06-17 | Paper |
| Global attractor for a class of retarded lattice dynamical systems | 2015-01-16 | Paper |
| Stable recovery of sparse signals via \(\ell_p\)-minimization | 2014-11-03 | Paper |
| \(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations | 2014-06-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5400225 | 2014-02-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4900517 | 2013-01-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4901889 | 2013-01-24 | Paper |
| Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations | 2012-10-05 | Paper |
| Long time behavior of non-Fickian delay reaction-diffusion equations | 2012-06-10 | Paper |
| Superconvergence of a Dg Method for First-Order Linear Delay Differential Equations | 2012-06-01 | Paper |
| Long time behavior of solutions of gKdV equations | 2012-03-29 | Paper |
| Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations | 2011-11-11 | Paper |
| Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations | 2011-08-28 | Paper |
| LDG method for reaction-diffusion dynamical systems with time delay | 2011-06-27 | Paper |
| Split Newton iterative algorithm and its application | 2010-11-18 | Paper |
| Nonlinear stability of discontinuous Galerkin methods for delay differential equations | 2010-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3640234 | 2009-11-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5319272 | 2009-07-22 | Paper |
