| Publication | Date of Publication | Type |
|---|
| Physics Informed Neural Networks for an Inverse Problem in Peridynamic Models | 2023-12-18 | Paper |
| A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models | 2023-11-23 | Paper |
| A fast-convolution based space-time Chebyshev spectral method for peridynamic models | 2022-12-21 | Paper |
| A fast-convolution based space-time Chebyshev spectral method for peridynamic models | 2022-09-06 | Paper |
| A space-time discretization of a nonlinear peridynamic model on a 2D lamina | 2022-06-23 | Paper |
| Computation of Eigenvalues for Nonlocal Models by Spectral Methods | 2021-05-30 | Paper |
| Sharp sufficient attractivity conditions for sliding on a co-dimension 2 discontinuity surface | 2021-02-19 | Paper |
| A space-time discretization of a nonlinear peridynamic model on a 2D lamina | 2021-02-12 | Paper |
| On Filippov solutions of discontinuous DAEs of index 1 | 2021-01-20 | Paper |
| A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils | 2020-11-20 | Paper |
| Numerical methods for the nonlocal wave equation of the peridynamics | 2020-04-21 | Paper |
| Computational techniques to locate crossing/sliding regions and their sets of attraction in non-smooth dynamical systems | 2018-09-05 | Paper |
| Mimetic finite difference methods for Hamiltonian wave equations in 2D | 2018-06-19 | Paper |
| A new data assimilation technique based on ensemble Kalman filter and Brownian bridges: an application to Richards' equation | 2017-12-05 | Paper |
| Direct event location techniques based on Adams multistep methods for discontinuous ODEs | 2016-05-30 | Paper |
| One-sided direct event location techniques in the numerical solution of discontinuous differential systems | 2016-02-01 | Paper |
| Uniqueness of Filippov sliding vector field on the intersection of two surfaces in \(\mathbb R^3\) and implications for stability of periodic orbits | 2015-12-17 | Paper |
| A model for the hepatic glucose metabolism based on Hill and step functions | 2015-09-09 | Paper |
| Spectral properties and conservation laws in mimetic finite difference methods for PDEs | 2015-09-09 | Paper |
| On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks | 2015-01-20 | Paper |
| Numerical solution of discontinuous differential systems: Approaching the discontinuity surface from one side | 2013-04-18 | Paper |
| A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis | 2013-02-28 | Paper |
| A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side | 2012-07-09 | Paper |
| On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs | 2012-05-18 | Paper |
| GEOMETRIC INTEGRATION OF ODES ON THE GENERAL LINEAR GROUP OF MATRICES | 2012-01-01 | Paper |
| SEMI-EXPLICIT TIME-STEPPING METHODS FOR DYNAMICAL SYSTEMS WITH COMPLEMENTARY CONSTRAINTS | 2012-01-01 | Paper |
| Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field | 2011-04-08 | Paper |
| Fundamental matrix solutions of piecewise smooth differential systems | 2011-03-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3162225 | 2010-10-19 | Paper |
| Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach | 2010-07-13 | Paper |
| Computation of functions of Hamiltonian and skew-symmetric matrices | 2009-04-03 | Paper |
| A Survey on Methods for Computing Matrix Exponentials in Numerical Schemes for ODEs | 2008-09-30 | Paper |
| Numerical methods for ordinary differential equations on matrix manifolds | 2008-03-11 | Paper |
| Smooth singular value decomposition on the symplectic group and Lyapunov exponents approximation | 2007-04-26 | Paper |
| Computational Science - ICCS 2004 | 2005-12-23 | Paper |
| Computation of the Exponential of Large Sparse Skew-Symmetric Matrices | 2005-09-22 | Paper |
| On the Low-Rank Approximation of Data on the Unit Sphere | 2005-09-19 | Paper |
| Numerical methods for dynamical systems in the Lorentz group. | 2004-08-26 | Paper |
| Symplectic Methods Based on the Matrix Variational Equation for Hamiltonian System | 2004-08-12 | Paper |
| Smooth SVD on the Lorentz group with application to computation of Lyapunov exponents. | 2004-03-15 | Paper |
| Lyapunov Exponents of Systems Evolving on Quadratic Groups | 2004-01-18 | Paper |
| Numerical integration of a class of ordinary differential equations on the general linear group of matrices | 2004-01-14 | Paper |
| Runge Kutta type methods for isodynamical matrix flows: Applications to balanced realizations | 2002-09-10 | Paper |
| Geometric Integration on Manifold of Square Oblique Rotation Matrices | 2002-04-23 | Paper |
| Applications of the Cayley approach in the numerical solution of matrix differential systems on quadratic groups | 2002-04-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2718081 | 2002-02-25 | Paper |
| Numerical methods for Hermitian unitary differential systems | 2000-07-20 | Paper |
| Newton-type methods for solving nonlinear equations on quadratic matrix groups | 2000-06-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4945660 | 2000-03-23 | Paper |
| The use of the factorization of five-diagonal matrices by tridiagonal Toeplitz matrices | 2000-03-15 | Paper |
| Numerical procedures based on Runge-Kutta methods for solving isospectral flows | 1999-01-26 | Paper |
| One step semi-explicit methods based on the Cayley transform for solving isospectral flows | 1999-01-19 | Paper |
| The Cayley transform in the numerical solution of unitary differential systems | 1998-08-10 | Paper |
| Variable step-size techniques in continuous Runge-Kutta methods for isospectral dynamical systems | 1998-03-12 | Paper |
| Tridiagonal splittings in the conditioning and parallel solution of banded linear systems | 1997-08-19 | Paper |
| Boundary value methods and BV-stability in the solution of initial value problems | 1993-10-10 | Paper |
| A method for the numerical solution of a class of nonlinear diffusion equations | 1993-04-01 | Paper |
| Parallel methods in the numerical treatment of population dynamic models | 1992-11-08 | Paper |
| One-step collocation methods for differential-algebraic systems of index 1 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3201662 | 1989-01-01 | Paper |
| A projection method for the numerical solution of linear systems in separable stiff differential equations | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3792533 | 1988-01-01 | Paper |
| An explicit two-step method for solving stiff systems of ordinary differential equations | 1987-01-01 | Paper |
| A finite difference scheme for a stiff problem arising in the numerical solution of a population dynamic model with spatial diffusion | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3795164 | 1985-01-01 | Paper |
| Stability and Asymptotic Behaviour for the Numerical Solution of a Reaction—Diffusion Model for a Deterministic Diffusive Epidemic | 1983-01-01 | Paper |
| A hybrid scheme for solving a model of population dynamics | 1982-01-01 | Paper |
| Decay to spatially homogeneous states for the numerical solution of reaction-diffusion systems | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4749154 | 1982-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3711695 | 1981-01-01 | Paper |
