| Publication | Date of Publication | Type |
|---|
| (Spectral) Chebyshev collocation methods for solving differential equations | 2023-07-31 | Paper |
| A probabilistic approach to the twin prime and cousin prime conjectures | 2023-03-31 | Paper |
| A new framework for polynomial approximation to differential equations | 2022-11-17 | Paper |
| A general framework for solving differential equations | 2022-10-18 | Paper |
| A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials | 2022-09-23 | Paper |
| Arbitrarily high-order energy-conserving methods for Poisson problems | 2022-09-14 | Paper |
| On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic | 2022-07-21 | Paper |
| Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function | 2022-05-30 | Paper |
| A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles | 2022-03-23 | Paper |
| Continuous-Stage Runge-Kutta approximation to Differential Problems | 2022-03-21 | Paper |
| Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere | 2021-11-02 | Paper |
| Maximal‐entropy driven determination of weights in least‐square approximation | 2021-08-18 | Paper |
| A multiregional extension of the SIR model, with application to the COVID‐19 spread in Italy | 2021-07-30 | Paper |
| A new framework for polynomial approximation to differential equations | 2021-06-03 | Paper |
| A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic | 2021-02-19 | Paper |
| A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework | 2020-09-22 | Paper |
| Computation of higher order Lie derivatives on the infinity computer | 2020-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5116774 | 2020-08-18 | Paper |
| Maximal-entropy driven determination of weights in least-square approximation | 2020-07-18 | Paper |
| Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles | 2020-06-10 | Paper |
| Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems | 2020-04-22 | Paper |
| Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer | 2020-04-21 | Paper |
| Line integral solution of differential problems | 2020-03-20 | Paper |
| A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs) | 2020-01-09 | Paper |
| Fluid statics of a self-gravitating perfect-gas isothermal sphere | 2019-09-24 | Paper |
| Spectrally accurate space-time solution of Hamiltonian PDEs | 2019-08-06 | Paper |
| Energy-conserving methods for the nonlinear Schrödinger equation | 2019-06-21 | Paper |
| Energy conservation issues in the numerical solution of the semilinear wave equation | 2019-03-20 | Paper |
| Line Integral solution of Hamiltonian PDEs | 2019-03-15 | Paper |
| Analysis of energy and quadratic invariant preserving (EQUIP) methods | 2018-04-16 | Paper |
| Line integral solution of Hamiltonian systems with holonomic constraints | 2018-02-15 | Paper |
| Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods) | 2017-02-17 | Paper |
| Reprint of ``Analysis of Hamiltonian boundary value methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems | 2016-01-25 | Paper |
| Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics | 2015-12-07 | Paper |
| Line Integral Methods for Conservative Problems | 2015-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5498651 | 2015-02-10 | Paper |
| Analysis of Hamiltonian boundary value methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems | 2015-01-29 | Paper |
| A two-step, fourth-order method with energy preserving properties | 2014-12-17 | Paper |
| Efficient implementation of Radau collocation methods | 2014-10-31 | Paper |
| Energy conserving methods for Hamiltonian PDEs based on spectral space decomposition | 2014-10-26 | Paper |
| Efficient implementation of Gauss collocation and Hamiltonian boundary value methods | 2014-06-13 | Paper |
| Efficient implementation of geometric integrators for separable Hamiltonian problems | 2013-06-11 | Paper |
| Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae | 2013-03-04 | Paper |
| The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: the case of symplecticity | 2012-08-19 | Paper |
| Continued fractions as dynamical systems | 2012-08-19 | Paper |
| A simple framework for the derivation and analysis of effective one-step methods for ODEs | 2012-08-19 | Paper |
| Line integral methods which preserve all invariants of conservative problems | 2012-07-09 | Paper |
| Continued fractions without fractions: Lagrange theorem and Pell equations | 2012-06-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3106252 | 2011-12-20 | Paper |
| A note on the efficient implementation of Hamiltonian BVMs | 2011-11-10 | Paper |
| Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems | 2010-12-23 | Paper |
| Energy and quadratic invariants preserving integrators of Gaussian type | 2010-08-27 | Paper |
| Numerical comparisons among some methods for Hamiltonian problems | 2010-08-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3561644 | 2010-05-25 | Paper |
| Isospectral Property of Hamiltonian Boundary Value Methods (HBVMs) and their connections with Runge-Kutta collocation methods | 2010-02-23 | Paper |
| Isospectral Property of Hamiltonian Boundary Value Methods (HBVMs) and their blended implementation | 2010-02-08 | Paper |
| Hamiltonian BVMs (HBVMs): A Family of “Drift Free” Methods for Integrating polynomial Hamiltonian problems | 2010-01-22 | Paper |
| Hamiltonian BVMs (HBVMs): Implementation Details and Applications | 2010-01-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3621397 | 2009-04-21 | Paper |
| Conservative perturbations of positive definite Hamiltonian matrices | 2009-02-09 | Paper |
| Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems | 2009-02-09 | Paper |
| s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type | 2009-01-22 | Paper |
| State Dependent Symplecticity of Symmetric Methods | 2009-01-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3509937 | 2008-06-25 | Paper |
| State-dependent symplecticity and area preserving numerical methods | 2007-06-14 | Paper |
| Symmetric boundary value methods for second order initial and boundary value problems | 2007-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3420784 | 2007-02-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3420785 | 2007-02-02 | Paper |
| Multistep methods for conservative problems | 2006-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3371183 | 2006-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3371247 | 2006-02-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4664412 | 2005-04-05 | Paper |
| Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems | 2004-08-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2755703 | 2003-06-17 | Paper |
| Generalization of backward differentiation formulas for parallel computers | 2003-03-10 | Paper |
| Eigenvalues and quasi-eigenvalues of banded Toeplitz matrices: Some properties and applications | 2003-03-10 | Paper |
| Parallel implicit predictor corrector methods | 2002-08-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2718072 | 2002-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2724536 | 2002-02-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4945784 | 2000-10-05 | Paper |
| Block-Boundary Value Methods for the Solution of Ordinary Differential Equations | 1999-11-24 | Paper |
| Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques | 1999-07-19 | Paper |
| Boundary values methods for time-domain simulation of power system dynamic behavior | 1999-06-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4351780 | 1998-01-22 | Paper |
| Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems | 1997-09-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4878959 | 1996-08-18 | Paper |
