On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations

On the use of Runge-Kutta time-marching and multigrid for the solution of steady adjoint equations

This paper considers the solution of steady adjoint equations using a class of iterative methods which includes preconditioned Runge-Kutta time-marching with multigrid. It is shown that, if formulated correctly, equal numbers of iterations of the direct and adjoint iterative solvers will result in t...

Bibliografske podrobnosti
Glavni avtor:	Giles, M
Format:	Report
Izdano:	Unspecified 2000

Podobne knjige/članki

Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow
od: Abu-Labdeh, R, et al.
Izdano: (2023)

Numerical solution of fuzzy differential equation using improved Runge-Kutta method
od: Rabiei, Faranak, et al.
Izdano: (2014)

Numerical Solution for Fuzzy Enzyme Kinetic Equations by the Runge–Kutta Method
od: Yousef Barazandeh, et al.
Izdano: (2018-03-01)

Runge-kutta method /
od: Nur Fathiah Mohd Sakiam, 1993- 603356, et al.
Izdano: (2016)

Impulsive Discrete Runge–Kutta Methods and Impulsive Continuous Runge–Kutta Methods for Nonlinear Differential Equations with Delayed Impulses
od: Gui-Lai Zhang, et al.
Izdano: (2024-09-01)

Partitioning ordinary differential equations using Runge-Kutta methods
od: Suleiman, Mohamed, et al.
Izdano: (1996)

Solving system of Euler's equations using Runge –Kutta methods
od: Aseel Al_Ameely, et al.
Izdano: (2023-12-01)

Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
od: Ismail, Fudziah
Izdano: (1999)

Numerical solution of newton´s cooling differential equation by the methods of euler and runge-kutta
od: Andresa Pescador, et al.
Izdano: (2016-04-01)

Runge-Kutta Discontinuous Galerkin method for the Boltzmann equation
od: Lui, Ho Man
Izdano: (2007)

Differential Equation Solver Simulator for Runge-Kutta Methods
od: Metin HATUN, et al.
Izdano: (2016-04-01)

Differential Equation Solver Simulator for Runge-Kutta Methods
od: Fahri Vatansever, et al.
Izdano: (2016-04-01)

On the iterative solution of adjoint equations
od: Giles, M
Izdano: (2002)

Economical Runge-Kutta methods
od: F. COSTABILE, et al.
Izdano: (1995-01-01)

Accelerated Runge-Kutta Methods
od: Firdaus E. Udwadia, et al.
Izdano: (2008-01-01)

Numerical solutions of fuzzy differential equations by an efficient Runge–Kutta method with generalized differentiability
od: Ahmadian, Ali, et al.
Izdano: (2018)

A New Optimized Runge-Kutta Pair for the Numerical Solution of the Radial Schrödinger Equation
od: Yonglei Fang, et al.
Izdano: (2012-01-01)

Implementing Runge-Kutta Method of Sixth-Order for Numerical Solution of Fuzzy Differential Equations
od: Marwa Alsafar, et al.
Izdano: (2023-09-01)

Numerical Solution of Fuzzy Differential Equations of 2nd-Order by Runge-Kutta Method
od: N. Parandin
Izdano: (2013-09-01)

A finite Volume Runge-Kutta Ellam Method for the Solution of Advection Diffusion Equations
od: Mohammed Al-Lawatia, et al.
Izdano: (2001-12-01)

Solving Delay Differential Equations Using Explicit Runge-Kutta Method
od: Aung, San Lwin
Izdano: (2004)

Stability of Runge-Kutta methods for stiff nonlinear differential equations /
od: 430348 Dekker, K., et al.
Izdano: (1984)

Stochastic Runge-Kutta method for stochastic delay differential equations /
od: Norhayati Rosli, 1981-
Izdano: (2012)

Stochastic Runge-Kutta method for stochastic delay differential equations /
od: Norhayati Rosli, 1981-, et al.
Izdano: (2012)

Improved Runge-Kutta methods for solving ordinary differential equations
od: Faranak Rabiei,, et al.
Izdano: (2013)

Stochastic Runge-Kutta method for stochastic delay differential equations
od: Norhayati, Rosli
Izdano: (2012)

Improved Runge-Kutta methods for solving ordinary differential equations
od: Rabiei, Faranak, et al.
Izdano: (2013)

Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
od: Alkhasawneh, Rae’d Ali Ahmed
Izdano: (2006)

Stability of Runge-Kutta Methods for Neutral Delay Differential Equations
od: Liping Wen, et al.
Izdano: (2015-01-01)

Positivity of an explicit Runge–Kutta method
od: M. Mehdizadeh Khalsaraei
Izdano: (2015-12-01)

Stability Analysis of Galerkin/Runge-Kutta Navier-Stokes Discretisations on Unstructured Grids
od: Giles, M
Izdano: (1995)

Error analysis of randomized Runge-Kutta methods for differential equations with time-irregular coefficients
od: Kruse, R, et al.
Izdano: (2017)

Numerical solution of second-order fuzzy differential equation using improved Runge-Kutta Nystrom method
od: Rabiei, Faranak, et al.
Izdano: (2013)

Numerical Solution for Hybrid Fuzzy Differential Equation by Fifth Order Runge-Kutta Nystrom Method
od: Jayakumar Thippan, et al.
Izdano: (2019-04-01)

Acceleration of Runge-Kutta integration schemes
od: Phailaung Phohomsiri, et al.
Izdano: (2004-01-01)

Fractional Order Runge–Kutta Methods
od: Farideh Ghoreishi, et al.
Izdano: (2023-03-01)

On a Runge-Kutta type method
od: Marian Mureşan
Izdano: (1987-08-01)

On a Runge-Kutta type method
od: Marian Mureşan
Izdano: (1987-08-01)

Solving delay differential equations using intervalwise partitioning by Runge–Kutta method
od: Ismail, Fudziah, et al.
Izdano: (2001)

Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method
od: Suleiman, Mohamed, et al.
Izdano: (2001)