A Simulink-based software solution using the infinity computer methodology for higher order differentiation
DOI10.1016/j.amc.2020.125606OpenAlexW3082024953WikidataQ114211012 ScholiaQ114211012MaRDI QIDQ2244122
Alberto Falcone, Alfredo Garro, Yaroslav D. Sergeyev, Marat S. Mukhametzhanov
Publication date: 11 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2020.125606
numerical differentiationscientific computingSimulinkinfinity computercomputer simulation and modelling
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Mathematical programming (90Cxx) Numerical methods for ordinary differential equations (65Lxx) Theory of computing (68Qxx) Nonstandard models (03Hxx)
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- The use of grossone in mathematical programming and operations research
- Computing sums of conditionally convergent and divergent series using the concept of grossone
- Cellular automata using infinite computations
- On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions
- Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically
- DNAD, a simple tool for automatic differentiation of Fortran codes using dual numbers
- Higher order numerical differentiation on the infinity computer
- Hybrid systems
- Importance of the first-order derivative formula in the Obrechkoff method
- Derivative-free local tuning and local improvement techniques embedded in the univariate global optimization
- Generalized property-directed reachability for hybrid systems
- A univariate global search working with a set of Lipschitz constants for the first derivative
- Differential dynamic logic for hybrid systems
- Nonlinear control systems.
- Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming
- Sequential and parallel algorithms for global minimizing functions with Lipschitzian derivatives
- Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer
- Solving the lexicographic multi-objective mixed-integer linear programming problem using branch-and-bound and grossone methodology
- On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales
- A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
- Independence of the grossone-based infinity methodology from non-standard analysis and comments upon logical fallacies in some texts asserting the opposite
- Numerical infinities and infinitesimals: methodology, applications, and repercussions on two Hilbert problems
- Nonlinear programming and grossone: quadratic programing and the role of constraint qualifications
- Lexicographic multi-objective linear programming using grossone methodology: theory and algorithm
- Numerical infinitesimals in a variable metric method for convex nonsmooth optimization
- Using Multicomplex Variables for Automatic Computation of High-Order Derivatives
- Verification of Hybrid Systems
- Numerical Differentiation of Analytic Functions
- Algorithm 984
- A benchmark of selected algorithmic differentiation tools on some problems in computer vision and machine learning
- A Simulink-Based Infinity Computer Simulator and Some Applications
- Handbook of Hybrid Systems Control
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