| Publication | Date of Publication | Type |
|---|
| Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise | 2024-02-29 | Paper |
| A splitting semi-implicit Euler method for stochastic incompressible Euler equations on đ2 | 2024-02-06 | Paper |
| Numerical Approximations of Stochastic Maxwell Equations | 2024-01-27 | Paper |
| Wellposedness and regularity estimates for stochastic Cahn-Hilliard equation with unbounded noise diffusion | 2023-11-30 | Paper |
| Large deviations principles for symplectic discretizations of stochastic linear Schrödinger equation | 2023-10-13 | Paper |
| Probabilistic limit behaviors of numerical discretizations for time-homogeneous Markov processes | 2023-10-12 | Paper |
| Error analysis of numerical methods on graded meshes for stochastic Volterra equations | 2023-08-31 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6162204 | 2023-06-15 | Paper |
| Novel structure-preserving schemes for stochastic Klein--Gordon--Schr\"odinger equations with additive noise | 2023-05-10 | Paper |
| Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density | 2023-04-12 | Paper |
| Probabilistic evolution of the error of numerical method for linear stochastic differential equation | 2023-04-04 | Paper |
| CLT for approximating ergodic limit of SPDEs via a full discretization | 2023-02-23 | Paper |
| Symplectic integration of stochastic Hamiltonian systems | 2022-12-20 | Paper |
| An adaptive time-stepping fully discrete scheme for stochastic NLS equation: Strong convergence and numerical asymptotics | 2022-12-04 | Paper |
| Ergodic numerical approximations for stochastic Maxwell equations | 2022-10-12 | Paper |
| Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation | 2022-10-10 | Paper |
| Convergence analysis of one-point large deviations rate functions of numerical discretizations for stochastic wave equations with small noise | 2022-09-17 | Paper |
| Semi-implicit energy-preserving numerical schemes for stochastic wave equation via SAV approach | 2022-08-29 | Paper |
| Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation | 2022-08-23 | Paper |
| Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations | 2022-08-05 | Paper |
| Weak intermittency of stochastic heat equation under discretizations | 2022-07-11 | Paper |
| Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions | 2022-05-17 | Paper |
| Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise | 2022-05-03 | Paper |
| Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model | 2022-04-28 | Paper |
| Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations | 2022-04-11 | Paper |
| Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems | 2022-04-04 | Paper |
| Optimal Hölder continuity and hitting probabilities for SPDEs with rough fractional noises | 2022-03-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5862230 | 2022-03-07 | Paper |
| Density convergence of a fully discrete finite difference method for stochastic Cahn--Hilliard equation | 2022-03-01 | Paper |
| Convergence analysis of a finite difference method for stochastic Cahn--Hilliard equation | 2022-02-18 | Paper |
| Central limit theorem for full discretization of parabolic SPDE | 2022-02-18 | Paper |
| Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations | 2022-01-20 | Paper |
| Strong Convergence of Full Discretization for Stochastic Cahn--Hilliard Equation Driven by Additive Noise | 2021-11-09 | Paper |
| Structure-preserving splitting methods for stochastic logarithmic Schr\"odinger equation via regularized energy approximation | 2021-11-08 | Paper |
| Structure-Preserving Numerical Methods for Stochastic Poisson Systems | 2021-11-03 | Paper |
| Strong convergence of adaptive time-stepping schemes for the stochastic Allen--Cahn equation | 2021-08-04 | Paper |
| Large deviations principles of sample paths and invariant measures of numerical methods for parabolic SPDEs | 2021-06-21 | Paper |
| Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise | 2021-05-31 | Paper |
| Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients | 2021-04-27 | Paper |
| Influences of Numerical Discretizations on Hitting Probabilities for Linear Stochastic Parabolic System | 2021-04-12 | Paper |
| Weak intermittency and second moment bound of a fully discrete scheme for stochastic heat equation | 2021-03-03 | Paper |
| A new efficient operator splitting method for stochastic Maxwell equations | 2021-02-21 | Paper |
| Convergence analysis for minimum action methods coupled with a finite difference method | 2021-02-08 | Paper |
| Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises | 2021-01-14 | Paper |
| Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations | 2020-12-16 | Paper |
| Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations | 2020-09-28 | Paper |
| Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion | 2020-09-18 | Paper |
| Convergence of Density Approximations for Stochastic Heat Equation | 2020-07-25 | Paper |
| Super-convergence analysis on exponential integrator for stochastic heat equation driven by additive fractional Brownian motion | 2020-07-04 | Paper |
| Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion | 2020-04-01 | Paper |
| A review on stochastic multi-symplectic methods for stochastic Maxwell equations | 2020-01-27 | Paper |
| Strong convergence rates of semidiscrete splitting approximations for the stochastic AllenâCahn equation | 2019-11-18 | Paper |
| Parareal Exponential $\theta$-Scheme for Longtime Simulation of Stochastic Schrödinger Equations with Weak Damping | 2019-11-18 | Paper |
| Dynamic Evaluation of Exponential Polynomial Curves and Surfaces via Basis Transformation | 2019-10-30 | Paper |
| On global existence and blow-up for damped stochastic nonlinear Schrödinger equation | 2019-10-10 | Paper |
| Invariant measures for stochastic nonlinear Schrödinger equations. Numerical approximations and symplectic structures | 2019-09-03 | Paper |
| Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient | 2019-09-02 | Paper |
| Energy-preserving exponential integrable numerical method for stochastic cubic wave equation with additive noise | 2019-09-02 | Paper |
| Convergence analysis of a symplectic semi-discretization for stochastic nls equation with quadratic potential | 2019-08-28 | Paper |
| Energy-preserving multi-symplectic Runge-Kutta methods for Hamiltonian wave equations | 2019-07-24 | Paper |
| Stochastic modified equations for symplectic methods applied to rough Hamiltonian systems based on the Wong--Zakai approximation | 2019-07-05 | Paper |
| Approximation of Invariant Measures for Stochastic Differential Equations with Piecewise Continuous Arguments via Backward Euler Method | 2019-06-10 | Paper |
| The probabilistic superiority of stochastic symplectic methods via large deviations principles | 2019-06-08 | Paper |
| Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces | 2019-05-21 | Paper |
| Runge--Kutta Semidiscretizations for Stochastic Maxwell Equations with Additive Noise | 2019-05-06 | Paper |
| Mean-Square Convergence of a Semidiscrete Scheme for Stochastic Maxwell Equations | 2019-05-06 | Paper |
| Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation | 2019-04-23 | Paper |
| Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations | 2019-03-26 | Paper |
| Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises | 2019-02-08 | Paper |
| Numerical analysis of a full discretization for stochastic Cahn--Hilliard equation driven by additive noise | 2018-12-15 | Paper |
| Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion | 2018-11-23 | Paper |
| Weak convergence and invariant measure of a full discretization for non-globally Lipschitz parabolic SPDE | 2018-11-07 | Paper |
| Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrödinger equation | 2018-09-26 | Paper |
| Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise | 2018-07-17 | Paper |
| Strong convergence of numerical discretizations for semilinear stochastic evolution equations driven by multiplicative white noise | 2018-05-19 | Paper |
| Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths | 2018-05-02 | Paper |
| Explicit pseudo-symplectic methods for stochastic Hamiltonian systems | 2018-04-11 | Paper |
| Stochastic conformal multi-symplectic method for damped stochastic nonlinear Schrodinger equation | 2018-03-28 | Paper |
| Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrödinger equation | 2018-02-15 | Paper |
| Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion | 2017-12-15 | Paper |
| An energy-conserving method for stochastic Maxwell equations with multiplicative noise | 2017-12-13 | Paper |
| High Order Conformal Symplectic and Ergodic Schemes for the Stochastic Langevin Equation via Generating Functions | 2017-12-08 | Paper |
| Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model | 2017-11-09 | Paper |
| Strong convergence rate of Runge--Kutta methods and simplified step-$N$ Euler schemes for SDEs driven by fractional Brownian motions | 2017-11-08 | Paper |
| LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates | 2017-10-27 | Paper |
| Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation | 2017-10-27 | Paper |
| A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations | 2017-10-27 | Paper |
| Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems | 2017-10-27 | Paper |
| Local energyâ and momentumâpreserving schemes for KleinâGordonâSchrödinger equations and convergence analysis | 2017-08-24 | Paper |
| Approximating Stochastic Evolution Equations with Additive White and Rough Noises | 2017-08-18 | Paper |
| Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations | 2017-08-03 | Paper |
| Optimal error estimate of a compact scheme for nonlinear Schrödinger equation | 2017-08-01 | Paper |
| Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise | 2017-06-23 | Paper |
| Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term | 2017-06-20 | Paper |
| Dynamic Evaluation of Free-Form Curves and Surfaces | 2017-05-31 | Paper |
| Symplectic Runge-Kutta Methods for Hamiltonian Systems Driven by Gaussian Rough Paths | 2017-04-13 | Paper |
| Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme | 2017-03-02 | Paper |
| Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme | 2017-03-01 | Paper |
| Projection methods for stochastic differential equations with conserved quantities | 2016-12-21 | Paper |
| Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods | 2016-12-20 | Paper |
| A stochastic multi-symplectic scheme for stochastic Maxwell equations with additive noise | 2016-12-05 | Paper |
| Energy-dissipation splitting finite-difference time-domain method for Maxwell equations with perfectly matched layers | 2016-12-05 | Paper |
| Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation | 2016-11-26 | Paper |
| Modified equations for weakly convergent stochastic symplectic schemes via their generating functions | 2016-10-21 | Paper |
| Symplectic Runge--Kutta Semidiscretization for Stochastic Schrödinger Equation | 2016-09-02 | Paper |
| Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise | 2016-07-05 | Paper |
| Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary | 2016-04-13 | Paper |
| Compact and efficient conservative schemes for coupled nonlinear <scp>S</scp>chrödinger equations | 2015-12-21 | Paper |
| Quasi-effective stability for nearly integrable Hamiltonian systems | 2015-11-25 | Paper |
| Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis | 2015-09-10 | Paper |
| Modified equations for weak stochastic symplectic schemes via their generating functions | 2014-11-09 | Paper |
| Preservation of quadratic invariants of stochastic differential equations via Runge-Kutta methods | 2014-10-31 | Paper |
| Near Preservation of Quadratic Invariants by Stochastic Runge-Kutta Methods | 2014-10-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5398789 | 2014-02-28 | Paper |
| Mean-square convergence of numerical approximations for a class of backward stochastic differential equations | 2013-11-12 | Paper |
| Generating functions for stochastic symplectic methods | 2013-11-11 | Paper |
| Solvability of concatenated Runge-Kutta equations for second-order nonlinear PDEs | 2013-04-22 | Paper |
| Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity | 2012-02-22 | Paper |
| Symplectic structure-preserving integrators for the two-dimensional Gross-Pitaevskii equation for BEC | 2011-08-02 | Paper |
| High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations | 2011-05-10 | Paper |
| Splitting multisymplectic integrators for Maxwell's equations | 2010-05-27 | Paper |
| Symplectic integrator for nonlinear high order Schrödinger equation with a trapped term | 2009-08-05 | Paper |
| Explicit multi-symplectic methods for Klein-Gordon-Schrödinger equations | 2009-05-12 | Paper |
| Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations | 2009-05-05 | Paper |
| Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations | 2008-12-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3538700 | 2008-11-24 | Paper |
| Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme | 2008-10-21 | Paper |
| Predictor-corrector methods for a linear stochastic oscillator with additive noise | 2008-01-18 | Paper |
| Multi-symplectic Runge-Kutta-Nyström methods for nonlinear Schrödinger equations with variable coefficients | 2007-11-01 | Paper |
| Almost periodic random sequences in probability | 2007-09-26 | Paper |
| Numerical comparison of five difference schemes for coupled KleinâGordonâSchrödinger equations in quantum physics | 2007-09-07 | Paper |
| Near-invariant tori on exponentially long time for Poisson systems | 2007-07-09 | Paper |
| Existence of \(\psi\)-bounded solutions for linear difference equations | 2007-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5493038 | 2006-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482710 | 2006-08-28 | Paper |
| Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients | 2006-06-30 | Paper |
| THE COMPUTATION OF LYAPUNOV EXPONENTS FOR PERIODIC TRAJECTORIES | 2006-06-23 | Paper |
| Spurious behavior of a symplectic integrator | 2006-02-06 | Paper |
| Optimization of explicit symplectic schemes for time-dependent Schrödinger equations | 2006-02-06 | Paper |
| The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs | 2005-12-12 | Paper |
| Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations | 2005-11-16 | Paper |
| Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves | 2005-02-22 | Paper |
| A novel numerical approach to simulating nonlinear Schrödinger equations with varying coeffi\-cients | 2004-06-11 | Paper |
| Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions | 2003-03-10 | Paper |
| Almost-periodic-type solutions of some differential equations with piecewise constant argument | 2002-10-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2754437 | 2002-10-15 | Paper |
| Ergodic type solutions of differential equations with piecewise constant arguments | 2002-08-13 | Paper |
| Numerical simulation of periodic and quasiperiodic solutions for nonautonomous Hamiltonian systems via the scheme preserving weak invariance | 2002-07-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4539095 | 2002-07-04 | Paper |
| The almost periodic type difference equations | 2002-05-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2746470 | 2002-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4763109 | 2001-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2721075 | 2001-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2715329 | 2001-06-20 | Paper |
| Ergodic solutions via ergodic sequences | 2001-03-20 | Paper |
| Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences | 2001-02-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4487401 | 2000-12-06 | Paper |
| A class of ergodic solutions of nonlinear differential equations and numerical treatment | 2000-11-14 | Paper |
| Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations | 2000-04-25 | Paper |
| Exponential dichotomy and trichotomy for difference equations | 2000-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4241041 | 1999-12-19 | Paper |
| Existence of a class of ergodic solutions implies exponential trichotomy | 1999-11-25 | Paper |
| Almost-periodic solutions to linear differential equations with piecewise constant argument | 1999-01-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4381267 | 1998-09-24 | Paper |
| The existence of almost periodic solution of a population equation with delay | 1998-01-19 | Paper |
| Exponential dichotomies, almost periodic structurally stable differential systems, and an example | 1997-11-13 | Paper |
| Existence of almost periodic solutions of neutral differential equations with piecewise constant argument | 1997-09-04 | Paper |
| The existence of almost periodic solutions for a class of differential equations with piecewise constant argument | 1997-08-17 | Paper |
| The Sacker-Sell problem in the quasiperiodic case | 1996-10-17 | Paper |
| ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT | 1996-07-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4848889 | 1995-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4286044 | 1994-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5289619 | 1993-08-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693479 | 1993-08-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4024307 | 1993-02-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3984247 | 1992-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3356711 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3483611 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3825385 | 1988-01-01 | Paper |
