LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "kutta methods" as a keyword



Photo from wikipedia

Efficient exponential Runge–Kutta methods of high order: construction and implementation

Sign Up to like & get
recommendations! Published in 2020 at "BIT Numerical Mathematics"

DOI: 10.1007/s10543-020-00834-z

Abstract: Exponential Runge–Kutta methods have shown to be competitive for the time integration of stiff semilinear parabolic PDEs. The current construction of stiffly accurate exponential Runge–Kutta methods, however, relies on a convergence result that requires weakening… read more here.

Keywords: kutta methods; order; exponential runge; runge kutta ... See more keywords

Delay-dependent stability of symmetric Runge–Kutta methods for second order delay differential equations with three parameters

Sign Up to like & get
recommendations! Published in 2017 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2017.03.005

Abstract: Abstract The paper is concerned with the delay-dependent stability analysis of symmetric Runge–Kutta methods, which include the Gauss methods and the Lobatto IIIA, IIIB and IIIS methods, for the second order delay differential equations with… read more here.

Keywords: symmetric runge; stability; kutta methods; runge kutta ... See more keywords

Stochastic multi-symplectic Runge–Kutta methods for stochastic Hamiltonian PDEs

Sign Up to like & get
recommendations! Published in 2019 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2018.09.011

Abstract: In this paper, we consider stochastic Runge-Kutta methods for stochastic Hamiltonian partial differential equations and present some sufficient conditions for multisymplecticity of stochastic Runge-Kutta methods of stochastic Hamiltonian partial differential equations. Particularly, we apply these… read more here.

Keywords: runge kutta; methods stochastic; kutta methods; multi symplectic ... See more keywords

Variational formulations for explicit Runge-Kutta Methods

Sign Up to like & get
recommendations! Published in 2019 at "Finite Elements in Analysis and Design"

DOI: 10.1016/j.finel.2019.06.007

Abstract: Variational space-time formulations for Partial Differential Equations have been of great interest in the last decades. While it is known that implicit time marching schemes have variational structure, the Galerkin formulation of explicit methods in… read more here.

Keywords: runge kutta; time; explicit runge; kutta methods ... See more keywords

Two-step Runge–Kutta methods for Volterra integro-differential equations

Sign Up to like & get
recommendations! Published in 2024 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2023.2301555

Abstract: In this paper, we investigate two-step Runge–Kutta methods to solve Volterra integro-differential equations. Two-step Runge–Kutta methods increase the order of convergence in comparing the classical Runge–Kutta method without extra computational cost. First, the local order… read more here.

Keywords: runge kutta; kutta methods; runge; step runge ... See more keywords

Large Time Step and DC Stable TD-EFIE Discretized With Implicit Runge–Kutta Methods

Sign Up to like & get
recommendations! Published in 2020 at "IEEE Transactions on Antennas and Propagation"

DOI: 10.1109/tap.2019.2943443

Abstract: The time domain-electric field integral equation (TD-EFIE) and its differentiated version are widely used to simulate the transient scattering of a time dependent electromagnetic field by a perfect electric conductor (PEC). The time discretization of… read more here.

Keywords: runge kutta; time; kutta methods; time step ... See more keywords

Round-Off Error and Exceptional Behavior Analysis of Explicit Runge-Kutta Methods

Sign Up to like & get
recommendations! Published in 2020 at "IEEE Transactions on Computers"

DOI: 10.1109/tc.2019.2917902

Abstract: Numerical integration schemes are mandatory to understand complex behaviors of dynamical systems described by ordinary differential equations. Implementation of these numerical methods involve floating-point computations and propagation of round-off errors. This paper presents a new… read more here.

Keywords: runge kutta; kutta methods; runge; round error ... See more keywords

Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments

Sign Up to like & get
recommendations! Published in 2017 at "Advances in Difference Equations"

DOI: 10.1186/s13662-016-1067-0

Abstract: The purpose of this paper is to study oscillation of Runge-Kutta methods for linear advanced impulsive differential equations with piecewise constant arguments. We obtain conditions of oscillation and nonoscillation for Runge-Kutta methods. Moreover, we prove… read more here.

Keywords: advanced impulsive; kutta methods; runge kutta; oscillation runge ... See more keywords

Two-Derivative Runge-Kutta Methods with Frequency Dependent Coefficients for Solving Orbital or Oscillatory Problems

Sign Up to like & get
recommendations! Published in 2025 at "Algorithms"

DOI: 10.3390/a18100603

Abstract: In this work, explicit Two-Derivative Runge–Kutta methods of the general case (that use several evaluations of the right-hand side function and its derivative per step) are considered. In order to address problems of orbital or… read more here.

Keywords: runge kutta; two derivative; orbital oscillatory; kutta methods ... See more keywords

High Order Two-Derivative Runge-Kutta Methods with Optimized Dispersion and Dissipation Error

Sign Up to like & get
recommendations! Published in 2021 at "Mathematics"

DOI: 10.3390/math9030232

Abstract: In this work we consider explicit Two-derivative Runge-Kutta methods of a specific type where the function f is evaluated only once at each step. New 7th order methods are presented with minimized dispersion and dissipation… read more here.

Keywords: runge kutta; derivative runge; kutta methods; order ... See more keywords

High-accuracy Runge–Kutta methods for stiff ODE systems

Sign Up to like & get
recommendations! Published in 2025 at "Journal of Interdisciplinary Mathematics"

DOI: 10.47974/jim-2363

Abstract: Ordinary differential equations (ODEs) that are stiff come up a lot in science and engineering. They need numerical methods that balance stability, speed, and accuracy. In strict regimes, explicit Runge–Kutta schemes don’t always work, and… read more here.

Keywords: ode systems; runge kutta; stiff ode; kutta methods ... See more keywords