Cover Image

Runge-Kutta methods, trees, and Mathematica

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Bornemann, Folkmar
Format:	Preprint
Published:	2002
Subjects:	Numerical Analysis 65-01 (Primary); 65L06,65Y99 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

A Priori Estimates for the Global Error Committed by Runge-Kutta Methods for a Nonlinear Oscillator
by: Niesen, Jitse
Published: (2001)

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

Derivative-free discrete gradient methods
by: Myhr, Håkon Noren, et al.
Published: (2026)

Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)
by: Stepanov, Misha
Published: (2023)

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

Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property
by: Stepanov, Misha
Published: (2021)

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

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

On Runge-Kutta methods of order 10
by: Stepanov, Misha
Published: (2025)

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

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

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

A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations
by: Buchholz, Tim, et al.
Published: (2025)

Efficient implementation of Radau collocation methods
by: Brugnano, L., et al.
Published: (2013)

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

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

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

Performance evaluation of mixed-precision Runge-Kutta methods for the solution of partial differential equations
by: Dravins, Ivo, 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)

Convergence and stability of randomized implicit two-stage Runge-Kutta schemes
by: Bochacik, Tomasz, 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)

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

On the unconventional Hug integrator
by: Andrieu, Christophe, et al.
Published: (2025)

Multiprecision computations with Schwarz methods
by: Outrata, Michal, et al.
Published: (2025)

Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions
by: Mahata, Shipra, 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)

Derivation of Runge--Kutta Order Conditions via Functional Tree Tensor Networks
by: He, Junyuan, et al.
Published: (2025)

Robust virtual element methods for 3D stress-assisted diffusion problems
by: Rubiano, Andres E.
Published: (2025)

Estimatable variation neural networks and their application to scalar hyperbolic conservation laws
by: Lukáčová-Medviďová, Mária, et al.
Published: (2024)

Iterative thresholding low-rank time integration
by: Bachmayr, Markus, et al.
Published: (2025)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)

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

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)

Modified Patankar Linear Multistep methods for production-destruction systems
by: Izzo, Giuseppe, et al.
Published: (2024)

Secure numerical simulations using fully homomorphic encryption
by: Kholod, Arseniy, et al.
Published: (2024)

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

Unstabilized Hybrid High-Order method for a class of degenerate convex minimization problems
by: Carstensen, C., et al.
Published: (2020)