Analysis of Spectral Hamiltonian Boundary Value Methods (SHBVMs) for the numerical solution of ODE problems
Fuente:
arXiv
Saved in:
| Main Authors: | Amodio, Pierluigi, Brugnano, Luigi, Iavernaro, Felice |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
by: Amodio, P., et al.
Published: (2022)
by: Amodio, P., et al.
Published: (2022)
On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation
by: Amodio, Pierluigi, et al.
Published: (2025)
by: Amodio, Pierluigi, et al.
Published: (2025)
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations
by: Brugnano, L., et al.
Published: (2023)
by: Brugnano, L., et al.
Published: (2023)
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
by: Gurioli, Gianmarco, et al.
Published: (2024)
by: Gurioli, Gianmarco, et al.
Published: (2024)
Efficient implementation of Radau collocation methods
by: Brugnano, L., et al.
Published: (2013)
by: Brugnano, L., et al.
Published: (2013)
Splitting Methods for differential equations
by: Blanes, Sergio, et al.
Published: (2024)
by: Blanes, Sergio, et al.
Published: (2024)
Goal-oriented time adaptivity for port-Hamiltonian systems
by: Bartel, Andreas, et al.
Published: (2024)
by: Bartel, Andreas, et al.
Published: (2024)
Numerical solution of FDE-IVPs by using Fractional HBVMs: the fhbvm code
by: Brugnano, Luigi, et al.
Published: (2024)
by: Brugnano, Luigi, et al.
Published: (2024)
A Multi-Invariant Preserving Discrete Gradient Methods
by: Pu, Haodong, et al.
Published: (2026)
by: Pu, Haodong, et al.
Published: (2026)
The weak form of the SDOF and MDOF equation of motion, part II: A numerical method for the SDOF problem
by: Karaliolios, Nikolaos, et al.
Published: (2024)
by: Karaliolios, Nikolaos, et al.
Published: (2024)
A hierarchical splitting approach for N-split differential equations
by: Schäfers, Kevin, et al.
Published: (2026)
by: Schäfers, Kevin, et al.
Published: (2026)
An entropy-based approach for a robust least squares spline approximation
by: Brugnano, Luigi, et al.
Published: (2023)
by: Brugnano, Luigi, et al.
Published: (2023)
A shooting-Newton procedure for solving fractional terminal value problems
by: Brugnano, Luigi, et al.
Published: (2023)
by: Brugnano, Luigi, et al.
Published: (2023)
Analysis and implementation of collocation methods for fractional differential equations
by: Brugnano, Luigi, et al.
Published: (2025)
by: Brugnano, Luigi, et al.
Published: (2025)
A novel semi-analytical multiple invariants-preserving integrator for conservative PDEs
by: Shi, Wei, et al.
Published: (2025)
by: Shi, Wei, et al.
Published: (2025)
The weak form of the SDOF and MDOF equation of motion, part I: Theory
by: Karaliolios, Nikolaos, et al.
Published: (2024)
by: Karaliolios, Nikolaos, et al.
Published: (2024)
Randomized Runge-Kutta-Nyström Methods for Unadjusted Hamiltonian and Kinetic Langevin Monte Carlo
by: Bou-Rabee, Nawaf, et al.
Published: (2023)
by: Bou-Rabee, Nawaf, et al.
Published: (2023)
A Multi-Order Extension of Fractional HBVMs (FHBVMs)
by: Brugnano, Luigi, et al.
Published: (2025)
by: Brugnano, Luigi, et al.
Published: (2025)
Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods
by: Uzunca, Murat
Published: (2019)
by: Uzunca, Murat
Published: (2019)
An explicit integrator uniform in the true anomaly and exactly preserving all integrals of motion in the three-dimensional Kepler problem
by: Cieśliński, Jan L., et al.
Published: (2025)
by: Cieśliński, Jan L., et al.
Published: (2025)
Numerical stability of force-gradient integrators and their Hessian-free variants in lattice QCD simulations
by: Schäfers, Kevin, et al.
Published: (2025)
by: Schäfers, Kevin, et al.
Published: (2025)
Adaptive IQ and IMQ-RBFs for solving Initial Value Problems: Adam-Bashforth and Adam-Moulton methods
by: Rathan, Samala, et al.
Published: (2023)
by: Rathan, Samala, et al.
Published: (2023)
Multi-Order Runge-Kutta Methods or how to numerically solve initial value problems of any order
by: Petronijevic, Loris
Published: (2025)
by: Petronijevic, Loris
Published: (2025)
Boundary-value problems of functional differential equations with state-dependent delays
by: andò, Alessia, et al.
Published: (2024)
by: andò, Alessia, et al.
Published: (2024)
Spectral element methods for boundary-value problems of functional differential equations
by: andò, Alessia, et al.
Published: (2025)
by: andò, Alessia, et al.
Published: (2025)
Finite-Time Convergence Guarantees for Time-Parallel Methods
by: Antonucci, Giancarlo Antonino, et al.
Published: (2026)
by: Antonucci, Giancarlo Antonino, et al.
Published: (2026)
A DPG method for the circular arch problem
by: Heuer, Norbert, et al.
Published: (2026)
by: Heuer, Norbert, et al.
Published: (2026)
Minimal $\ell^2$ Norm Discrete Multiplier Method
by: Schulz, Erick, et al.
Published: (2022)
by: Schulz, Erick, et al.
Published: (2022)
High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)
Operator splitting for coupled linear port-Hamiltonian systems
by: Lorenz, Jan, et al.
Published: (2024)
by: Lorenz, Jan, et al.
Published: (2024)
Symplectic integrators for second-order linear non-autonomous equations
by: Bader, Philipp, et al.
Published: (2017)
by: Bader, Philipp, et al.
Published: (2017)
Data-Driven Reduced-Order Models for Port-Hamiltonian Systems with Operator Inference
by: Geng, Yuwei, et al.
Published: (2025)
by: Geng, Yuwei, et al.
Published: (2025)
Adaptive stepsize algorithms for Langevin dynamics
by: Leroy, Alix, et al.
Published: (2024)
by: Leroy, Alix, et al.
Published: (2024)
Order conditions for Runge--Kutta-like methods with solution-dependent coefficients
by: Izgin, Thomas, et al.
Published: (2023)
by: Izgin, Thomas, et al.
Published: (2023)
Numerical solutions of ordinary differential equations using Spline-Integral Operator
by: Salgado, Gustavo H. O., et al.
Published: (2024)
by: Salgado, Gustavo H. O., et al.
Published: (2024)
On solving nonlinear simultaneous equations arising from the double-exponential Sinc-collocation method for initial value problems
by: Yamamoto, Yusaku, et al.
Published: (2026)
by: Yamamoto, Yusaku, et al.
Published: (2026)
A parallel preconditioner for the all-at-once linear system from evolutionary PDEs with Crank-Nicolson discretization
by: Zhao, Yong-Liang, et al.
Published: (2024)
by: Zhao, Yong-Liang, et al.
Published: (2024)
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
by: Zhao, Yong-Liang, et al.
Published: (2019)
by: Zhao, Yong-Liang, et al.
Published: (2019)
A new construction of modified equations for variational integrators
by: Oliver, Marcel, et al.
Published: (2024)
by: Oliver, Marcel, et al.
Published: (2024)
Implicit-Explicit Multirate Infinitesimal Stage-Restart Methods
by: Fish, Alex C., et al.
Published: (2023)
by: Fish, Alex C., et al.
Published: (2023)
Similar Items
-
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
by: Amodio, P., et al.
Published: (2022) -
On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation
by: Amodio, Pierluigi, et al.
Published: (2025) -
A spectrally accurate step-by-step method for the numerical solution of fractional differential equations
by: Brugnano, L., et al.
Published: (2023) -
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
by: Gurioli, Gianmarco, et al.
Published: (2024) -
Efficient implementation of Radau collocation methods
by: Brugnano, L., et al.
Published: (2013)