A general framework for solving differential equations
type: Item
instance of: scholarly article
title: A general framework for solving differential equations
zbMATH Open document ID: 1503.65312
author: Luigi Brugnano
author: Felice Iavernaro
published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 7603240
zbMATH Keywords: Hamiltonian boundary value methods
zbMATH Keywords: HBVMs
zbMATH Keywords: line integral methods
zbMATH Keywords: local Fourier expansion
zbMATH Keywords: spectral methods
describes a project that uses: LIMbook
describes a project that uses: BiMD
MaRDI profile type: Publication
full work available at URL: s11565-022-00409-6
OpenAlex ID: W4283728014
Wikidata QID: Q115377860
cites work: An algebraic approach to invariant preserving integators: the case of quadratic and Hamiltonian invariants
cites work: Q4315882
cites work: Simulating Hamiltonian Dynamics
cites work: Geometric Numerical Integration
cites work: A concise introduction to geometric numerical integration
cites work: Symplectic Runge-Kutta schemes for adjoint equations, automatic differentiation, optimal control, and more
cites work: Geometric integration using discrete gradients
cites work: s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type
cites work: Q3621397
cites work: Q3561644
cites work: Energy-preserving Runge-Kutta methods
cites work: Hamiltonian BVMs (HBVMs): A Family of “Drift Free” Methods for Integrating polynomial Hamiltonian problems
cites work: Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
cites work: Q2960810
cites work: Line Integral Methods for Conservative Problems
cites work: The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: the case of symplecticity
cites work: A simple framework for the derivation and analysis of effective one-step methods for ODEs
cites work: Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems
cites work: On the effectiveness of spectral methods for the numerical solution of multi-frequency highly oscillatory Hamiltonian problems
cites work: Spectrally accurate space-time solution of Hamiltonian PDEs
cites work: Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems
cites work: Spectral Methods
cites work: Spectral Methods for Non-Standard Eigenvalue Problems
cites work: Line integral solution of differential problems
cites work: A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs)
cites work: Analysis of Hamiltonian boundary value methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems
cites work: A note on the efficient implementation of Hamiltonian BVMs
cites work: Blended implementation of block implicit methods for ODEs
cites work: Recent advances in linear analysis of convergence for splittings for solving ODE problems
cites work: Efficient implementation of Gauss collocation and Hamiltonian boundary value methods
cites work: Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems
cites work: Numerical Methods for Delay Differential Equations
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics
cites work: Blended implicit methods for the numerical solution of DAE problems
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Numerical solution of fractional differential equations: a survey and a software tutorial
cites work: Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations
cites work: High-order energy-conserving line integral methods for charged particle dynamics
cites work: Spectrally accurate energy‐preserving methods for the numerical solution of the “good” Boussinesq equation
cites work: Spectrally accurate space-time solution of Manakov systems
DOI: 10.1007/S11565-022-00409-6
description: scientific article; zbMATH DE number 7603240