| Publication | Date of Publication | Type |
|---|
| Darboux-Bäcklund Transformations for Spin-Valued Linear Problems | 2021-08-27 | Paper |
| On the famous unpublished preprint "Methods of integration which preserve the contact transformation property of the Hamilton equations" by Ren\'e De Vogelaere | 2020-03-27 | Paper |
| Locally exact modifications of discrete gradient schemes | 2020-01-13 | Paper |
| Fast calculation of inverse square root with the use of magic constant -- analytical approach | 2019-04-29 | Paper |
| Fast exact digital differential analyzer for circle generation | 2019-03-22 | Paper |
| A discrete nonlinear Schrödinger-type hierarchy, its finite-dimensional reduction analysis, and the numerical integration scheme | 2018-07-23 | Paper |
| On the geometry of the hyperbolic scator space in \(1+2\) dimensions | 2017-06-30 | Paper |
| Group interpretation of the spectral parameter. The case of isothermic surfaces. | 2017-02-09 | Paper |
| Lax triples for integrable surfaces in three-dimensional space | 2016-09-08 | Paper |
| Locally exact modifications of numerical schemes | 2016-07-06 | Paper |
| On geometry of the scator space | 2015-06-16 | Paper |
| Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach | 2015-06-12 | Paper |
| Some implications of a new approach to exponential functions on time scales | 2015-03-02 | Paper |
| The sine-Gordon equation on time scales | 2014-11-19 | Paper |
| Improving the accuracy of the AVF method | 2014-07-23 | Paper |
| Discrete gradient algorithms of high order for one-dimensional systems | 2013-04-25 | Paper |
| Modified van der Pauw method based on formulas solvable by the Banach fixed point method | 2012-03-31 | Paper |
| New definitions of exponential, hyperbolic and trigonometric functions on time scales | 2012-02-11 | Paper |
| Improved \(q\)-exponential and \(q\)-trigonometric functions | 2011-12-28 | Paper |
| On the exact discretization of the classical harmonic oscillator equation | 2011-12-12 | Paper |
| Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems | 2011-05-13 | Paper |
| An orbit-preserving discretization of the classical Kepler problem | 2011-04-19 | Paper |
| Locally exact modifications of numerical integrators | 2011-01-03 | Paper |
| Comment on ‘Conservative discretizations of the Kepler motion’ | 2010-06-18 | Paper |
| A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients | 2010-05-17 | Paper |
| Geometry of submanifolds derived from spin-valued spectral problems | 2010-01-21 | Paper |
| Algebraic construction of the Darboux matrix revisited | 2010-01-05 | Paper |
| Long-time behaviour of discretizations of the simple pendulum equation | 2009-03-20 | Paper |
| Discretization of multidimensional submanifolds associated with Spin-valued spectral problems | 2008-10-28 | Paper |
| On simulations of the classical harmonic oscillator equation by difference equations | 2008-02-20 | Paper |
| Pseudospherical surfaces on time scales: a geometric definition and the spectral approach | 2007-11-07 | Paper |
| Divisors of zero in the Lipschitz semigroup | 2007-06-14 | Paper |
| A geometric interpretation of the spectral parameter for surfaces of constant mean curvature | 2007-04-19 | Paper |
| Pseudospherical surfaces on time scales | 2007-02-05 | Paper |
| The Darboux–Bäcklund transformation for the static 2-dimensional continuum Heisenberg chain | 2006-09-28 | Paper |
| Isometric immersions of domains of Lobachevsky spaces into spheres and Euclidean spaces, and a geometric interpretation of the spectral parameter | 2006-09-15 | Paper |
| A new approach to the Darboux–Bäcklund transformation versus the standard dressing method | 2006-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3373870 | 2006-03-09 | Paper |
| Algebraic representation of the linear problem as a method to construct the Darboux-Bäcklund transformation. | 2006-02-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5462632 | 2005-08-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4653319 | 2005-03-07 | Paper |
| Darboux covariant equations of von Neumann type and their generalizations | 2004-12-14 | Paper |
| The structure of spectral problems and geometry: hyperbolic surfaces inE3 | 2003-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2781678 | 2002-11-03 | Paper |
| The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach | 2002-04-08 | Paper |
| A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras | 2001-10-04 | Paper |
| A geometric interpretation of the spectral problem for the generalized sine-Gordon system | 2001-08-14 | Paper |
| The Darboux-Bäcklund transformation without using a matrix representation | 2001-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4491403 | 2000-07-25 | Paper |
| A class of linear spectral problems in Clifford algebras | 2000-07-03 | Paper |
| The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices | 2000-03-07 | Paper |
| The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\) | 2000-03-07 | Paper |
| Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces | 2000-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4250117 | 1999-09-02 | Paper |
| The Darboux-Bianchi-B\"acklund transformation and soliton surfaces | 1999-05-03 | Paper |
| A generalized formula for integrable classes of surfaces in Lie algebras | 1998-08-16 | Paper |
| The cross ratio and Clifford algebras | 1998-05-26 | Paper |
| An algebraic method to construct the Darboux matrix | 1996-09-11 | Paper |
| On integrability of the inhomogeneous Heisenberg ferromagnet model: Examination of a new test | 1996-08-15 | Paper |
| On the geometry of the inhomogeneous Heisenberg ferromagnet: nonintegrable case | 1993-11-10 | Paper |
| Group interpretation of the spectral parameter in the case of nonhomogeneous, nonlinear Schrödinger system | 1993-09-08 | Paper |
| Nonlocal symmetries and a working algorithm to isolate integrable geometries | 1993-08-17 | Paper |
| An effective method to compute N-fold Darboux matrix and N-soliton surfaces | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3972351 | 1992-06-25 | Paper |