Cover Image

Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Biswas, Abhijit, Ketcheson, David, Seibold, Benjamin, Shirokoff, David
Format:	Preprint
Published:	2022
Subjects:	Numerical Analysis 65L04, 65L20, 65M12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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)

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

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

Algebraic Conditions for Stability in Runge-Kutta Methods and Their Certification via Semidefinite Programming
by: Juhl, Austin, et al.
Published: (2024)

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

Order conditions for Runge--Kutta-like methods with solution-dependent coefficients
by: Izgin, Thomas, et al.
Published: (2023)

Preconditioning and Linearly Implicit Time Integration for the Serre-Green-Naghdi Equations
by: Feng, Linwan, 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)

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

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

The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2023)

Derivation of sixth-order exponential Runge--Kutta methods for stiff systems
by: Luan, Vu Thai, et al.
Published: (2023)

Multirate Runge-Kutta for Nonlinearly Partitioned Systems
by: Buvoli, Tommaso, et al.
Published: (2025)

The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2024)

A new way of deriving implicit Runge-Kutta methods based on repeated integrals
by: Mizerová, Hana, et al.
Published: (2024)

Extending Irksome: improvements in automated Runge--Kutta time stepping for finite element methods
by: Kirby, Robert C., et al.
Published: (2024)

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

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

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

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

Average energy dissipation rates of explicit exponential Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

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

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
by: Doehring, Daniel, et al.
Published: (2025)

Average energy dissipation rates of additive implicit-explicit Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems
by: Liao, Hong-lin, et al.
Published: (2024)

Fourth-Order Paired-Explicit Runge-Kutta Methods
by: Doehring, Daniel, 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)

Adaptive Multiquadratic Radial Basis Function-based Explicit Runge--Kutta Methods
by: Yadav, Rajesh, et al.
Published: (2025)

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

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

Exponential integrators for parabolic problems with non-homogeneous boundary conditions
by: Arranz-Simón, Carlos, et al.
Published: (2025)

A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model
by: Liao, Hong-lin, et al.
Published: (2024)

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

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

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

Accuracy and stability of the hyperbolic model time integration scheme revisited
by: Botchev, Mikhail A.
Published: (2025)

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

A Boot-Strapping Technique to Design Dense Output Formulae for Modified Patankar-Runge-Kutta Methods
by: Izgin, Thomas
Published: (2024)

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