Cover Image

Exponential integrators for parabolic problems with non-homogeneous boundary conditions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Arranz-Simón, Carlos, Ostermann, Alexander
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis 65M15, 65M12, 65L04
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An initial-boundary corrected splitting method for diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)

Should exponential integrators be used for advection-dominated problems?
by: Einkemmer, Lukas, et al.
Published: (2024)

Overcoming the order barrier two in splitting methods when applied to semilinear parabolic problems with non-periodic boundary conditions
by: Häberli, Ramona
Published: (2023)

An initial-corrected splitting approach for convection-diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)

A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems
by: Dang, Thi Tam, et al.
Published: (2025)

Projective integration schemes for nonlinear degenerate parabolic systems
by: Tenna, Tommaso
Published: (2025)

Exponential Runge-Kutta methods for parabolic equations with state-dependent delay
by: Huang, Qiumei, et al.
Published: (2025)

Exponential Runge-Kutta methods of collocation type for parabolic equations with time-dependent delay
by: Huang, Qiumei, et al.
Published: (2025)

Rational methods for abstract linear, non-homogeneous problems without order reduction
by: Arranz-Simón, Carlos, et al.
Published: (2024)

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

Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)

Explicit Runge Kutta Methods that Alleviate Order Reduction
by: Biswas, Abhijit, et al.
Published: (2023)

Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods
by: Biswas, Abhijit, et al.
Published: (2022)

Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)

Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators
by: Huang, Qiumei, et al.
Published: (2025)

Preconditioning and Linearly Implicit Time Integration for the Serre-Green-Naghdi Equations
by: Feng, Linwan, et al.
Published: (2025)

Symmetric-conjugate splitting methods for evolution equations of parabolic type
by: Blanes, Sergio, et al.
Published: (2024)

A second-order exponential integration constraint energy minimizing generalized multiscale method for parabolic problems
by: Poveda, Leonardo A., et al.
Published: (2023)

Unconditionally Long-Time Stable Variable-Step Second-Order Exponential Time-Differencing Schemes for the Incompressible NSE
by: Wang, Haifeng, et al.
Published: (2026)

Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2025)

Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
by: Xie, Zhengrong
Published: (2026)

Solving nonlinear Klein-Gordon equation with non-smooth solution by a geometric low-regularity integrator
by: Wang, Bin, et al.
Published: (2023)

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

Time parallelization for hyperbolic and parabolic problems
by: Gander, Martin J., et al.
Published: (2025)

A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)

An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM
by: Melenk, Jens Markus, et al.
Published: (2022)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)

Probabilistic time integration for semi-explicit PDAEs
by: Altmann, R., et al.
Published: (2024)

Explicit symmetric low-regularity integrators for the semilinear Klein-Gordon equation
by: Shen, Zhirui, et al.
Published: (2026)

A low regularity exponential-type integrator for the derivative nonlinear Schrödinger equation
by: Ji, Lun, et al.
Published: (2026)

A third-order trigonometric integrator with low regularity for the semilinear Klein-Gordon equation
by: Wang, Bin, et al.
Published: (2024)

A stable multiplicative dynamical low-rank discretization for the linear Boltzmann-BGK equation
by: Baumann, Lena, et al.
Published: (2024)

Galerkin-type time discretizations for parabolic and hyperbolic problems: stability and a priori error analysis
by: Gómez, Sergio
Published: (2026)

Low regularity error estimates for the time integration of 2D NLS
by: Ji, Lun, et al.
Published: (2023)

Stability and convergence of multi-product expansion splitting methods with negative weights for semilinear parabolic equations
by: Duan, Xianglong, et al.
Published: (2025)

Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)

Low regularity error estimates for high dimensional nonlinear Schrödinger equations
by: Ji, Lun, et al.
Published: (2023)

On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2012)

Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
by: Huang, Guanlan, et al.
Published: (2026)

A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
by: Liao, Hong-lin, et al.
Published: (2026)