Explicit scheme: four stage Runge-Kutta
On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge Kutta Method*
... a Four Stage Harmonic Explicit Runge-Kutta ...a Four Stage Harmonic Explicit Runge-Kutta Method ...
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A Three Stage Multiderivative Explicit Runge Kutta Method
... ABSTRACT In recent years, the derivation of Runge-Kutta methods with higher derivatives has been on the increase. In this paper, we present a new class of three stage Runge-Kutta method ...
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2-stage explicit total variation diminishing preserving Runge-Kutta methods
... 2-stage explicit Runge-Kutta methods of order two (RK2) when ap- plied to the numerical solution of special nonlinear initial value problems (IVPs) for ...
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Stepsize Selection in Explicit Runge Kutta Methods for Moderately Stiff Problems
... of stage equations at each step, whereas an explicit RK me- thod does ...an explicit RK method to solve moderately stiff problems, wherein the stiffness constant λ is not too ...the explicit ...
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EXPLICIT RUNGE KUTTA METHOD IN SOLVING FUZZY INITIAL VALUE PROBLEM
... an explicit s-stage Runge-Kutta method has order p, then it can be proven that the number of stages must satisfy s p , and if p 5 , then s p 1 ...an explicit ...
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Nonstandard explicit third-order Runge-Kutta method with positivity property
... Euler, Runge-Kutta and Adams methods are widely used, ...discrete scheme with the original differential equation and linear stability analysis for problems with smooth ...
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Numerical solution of neutron density using the explicit third order, third stage stochastic Runge Kutta method
... the explicit third order, third stage stochastic Runge-Kutta method for providing a solution to stochastic point kinetic equations for various forms of reactivity, considering one and six ...
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High Order Explicit Two-Step Runge-Kutta Methods for Parallel Computers
... However, in general it is not possible to employ the new introduced weights to improve the stability of high order methods. We show, for any given s-stage method with extended weights which fulfills the ...
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Design and Analysis of Some Third Order Explicit Almost Runge Kutta Methods
... the derived methods are further tested for consistency and stability, a necessary requirement for convergence of any numerical scheme; they are shown to satisfy the criteria for both consistency and stability; ...
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Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
... five explicit simulations with initial conditions perturbed by random ...unperturbed explicit solution) in the vertical veloc- ity after 1 day that is approximately an order of magnitude smaller than the ...
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Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
... ERK scheme, and the second containing the “implicit” elements which are integrated in time with an implicit SDIRK ...the explicit set contains the ”largest” elements (based on length in 1D, chord of ...
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Half-Explicit Exponential Runge-Kutta Methods for Index- 1 DAEs in Helicopter Simulation
... Only the acceleration depends on the input vector which contains the aerodynamic forces at those points. We can exploit this to reduce the computational costs of the simplified Newton scheme for the algebraic part ...
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Weak second order explicit exponential Runge-Kutta methods for stochastic differential equations
... the stage number significantly, which leads to high computational ...the stage number, but our methods need techniques in order to calculate matrix exponentials efficiently, such as known ...
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Second order three stage stochastic Runge Kutta method for nuclear reactors
... stochastic scheme, and with the deterministic method of fourth order Runge- Kutta it can be observed in Tables 2-3 that the proposed method has satisfactory approximations for calculating mean ...
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Embedded explicit two step Runge Kutta Nyström for solving special second order IVPs
... three-stage explicit Two-step Runge-Kutta-Nystr¨ om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems ...
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Runge Kutta residual distribution schemes
... Received: 11 July 2013 / Revised: 13 April 2014 / Accepted: 4 June 2014 © Springer Science+Business Media New York 2014 Abstract We are concerned with the solution of time-dependent non-linear hyperbolic par- tial ...
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Math 128a: Runge-Kutta Methods
... This is a much more convenient way to represent the Runge Kutta method instead of writing out all the individual k 0 s. Each of these k i ’s are what’s known as a stage derivative. We call it a ...
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Strong-stability-preserving Hermite – Birkhoff time discretization methods combining k-step methods and explicit s-stage Runge–Kutta methods of order 5
... explicit s-stage Runge–Kutta methods of order 5 HUONG NGUYEN-THU 1 Ph.D. in Mathematics Department of Mathematics, School of Education Cantho University, Vietnam TRUONG NGUYEN-BA 2 Ph.D. in ...
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IMEX Runge Kutta schemes for reaction diffusion equations
... (implicit–explicit) Runge–Kutta schemes applied to reaction–diffusion ...discrete scheme converges if it satisfies certain conditions using a technique of the B-convergence analysis, developed ...
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On the stability function of functionally fitted Runge–Kutta methods
... an explicit rk, A is strictly lower-triangular and c 1 = 0 , allowing to directly compute the ...iteration scheme is non-linear and needs special solution techniques such as Newton root-finding techniques ...
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