Cover Image

Spectral element methods for boundary-value problems of functional differential equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	andò, Alessia, Sieber, Jan
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65L03, 65L10, 65L20, 65L60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Boundary-value problems of functional differential equations with state-dependent delays
by: andò, Alessia, et al.
Published: (2024)

Exploring Exponential Runge-Kutta Methods: A Survey
by: andò, Alessia, et al.
Published: (2025)

Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
by: Gurioli, Gianmarco, et al.
Published: (2024)

A spectrally accurate step-by-step method for the numerical solution of fractional differential equations
by: Brugnano, L., et al.
Published: (2023)

Development and Analysis of Chien-Physics-Informed Neural Networks for Singular Perturbation Problems
by: Singh, Gautam, et al.
Published: (2025)

$hp$-version $C^1$-continuous Petrov-Galerkin method for nonlinear second-order initial value problems with application to wave equations
by: Wang, Lina, et al.
Published: (2023)

Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)

Splitting Methods for differential equations
by: Blanes, Sergio, et al.
Published: (2024)

High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology
by: de Souza, Giacomo Rosilho, et al.
Published: (2024)

Arbitrary high order ADER-DG method with local DG predictor for solutions of initial value problems for systems of first-order ordinary differential equations
by: Popov, I. S.
Published: (2024)

Second order explicit stabilized multirate method for stiff differential equations with error control
by: Benninghoff, Mathieu, et al.
Published: (2025)

Theory and internal structure of ADER-DG method for ordinary differential equations
by: Popov, I. S.
Published: (2025)

Improving the Accuracy of the Exponentially Fitted Scheme on Piecewise Uniform Meshes
by: Vulanović, Relja
Published: (2026)

A hierarchical splitting approach for N-split differential equations
by: Schäfers, Kevin, et al.
Published: (2026)

Improving the local solution of the DG predictor of the ADER-DG method for solving systems of ordinary differential equations and its applicability to systems of differential-algebraic equations
by: Popov, I. S.
Published: (2026)

Exponential Runge-Kutta methods for delay equations in the sun-star abstract framework
by: Ando', Alessia, et al.
Published: (2024)

On the computation of accurate initial conditions for linear higher-index differential-algebraic equations and its application in initial value solvers
by: Hanke, Michael, et al.
Published: (2024)

Nonlinear numerical schemes using specular differentiation for initial value problems of first-order ordinary differential equations
by: Jung, Kiyuob
Published: (2026)

Understanding the ultraspherical spectral method
by: Cheng, Lu, et al.
Published: (2024)

Multirate methods for ordinary differential equations
by: Günther, Michael, et al.
Published: (2025)

A Multi-Invariant Preserving Discrete Gradient Methods
by: Pu, Haodong, et al.
Published: (2026)

Explicit Runge-Kutta-Chebyshev methods of second order with monotonic stability polynomial
by: Faleichik, Boris, et al.
Published: (2025)

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)

Strong convergence rates of stochastic theta methods for index 1 stochastic differential algebraic equations under non-globally Lipschitz conditions
by: Chen, Lin, et al.
Published: (2025)

Splitting Schemes for ODEs with Goal-Oriented Error Estimation
by: Weyl, Erik, et al.
Published: (2026)

Multi-Order Runge-Kutta Methods or how to numerically solve initial value problems of any order
by: Petronijevic, Loris
Published: (2025)

Deterministic particle method for nonlinear nonlocal scalar balance equations
by: Radici, Emanuela, et al.
Published: (2024)

Double-activation neural network for solving parabolic equations with time delay
by: Huang, Qiumei, et al.
Published: (2024)

Piecewise discretization of monodromy operators of delay equations on adapted meshes
by: Breda, Dimitri, et al.
Published: (2022)

Projected exponential methods for stiff dynamical low-rank approximation problems
by: Carrel, Benjamin, et al.
Published: (2023)

Spectral Deferred Corrections in the framework of Runge-Kutta methods
by: Bronasco, Eugen, et al.
Published: (2026)

Adaptive IQ and IMQ-RBFs for solving Initial Value Problems: Adam-Bashforth and Adam-Moulton methods
by: Rathan, Samala, et al.
Published: (2023)

Determining superconvergence points for $L2-1_σ$ scheme of variable-exponent subdiffusion and error estimate
by: Huang, Hongying, et al.
Published: (2024)

Stability theory of TASE-Runge-Kutta methods with inexact Jacobian
by: Conte, D., et al.
Published: (2024)

A New Class of General Linear Method with Inherent Quadratic Stability for Solving Stiff Differential Systems
by: Gautam, Sakshi, et al.
Published: (2025)

A DPG method for the circular arch problem
by: Heuer, Norbert, et al.
Published: (2026)

Error analyses of Sinc-collocation methods for exponential decay initial value problems
by: Okayama, Tomoaki, et al.
Published: (2023)

A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems
by: Buvoli, Tommaso, et al.
Published: (2024)

Implicit-Explicit Multirate Infinitesimal Stage-Restart Methods
by: Fish, Alex C., et al.
Published: (2023)

Using Machine Learning to Design Time Step Size Controllers for Stable Time Integrators
by: Izgin, Thomas, et al.
Published: (2023)