An Efficient Solution Process for Implicit Runge–Kutta Methods
From MaRDI portal
Publication:4144720
DOI10.1137/0714069zbMath0368.65037OpenAlexW1991915199MaRDI QIDQ4144720
Publication date: 1977
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0714069
Related Items (39)
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting ⋮ Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs ⋮ Iterative schemes for three-stage implicit Runge-Kutta methods ⋮ Convergence of general linear methods on differential-algebraic systems of index 3 ⋮ On the Efficient Implementation of Implicit Runge-Kutta Methods ⋮ A Note on the Rosenbrock Procedure ⋮ On the Implementation of Singly Implicit Runge-Kutta Methods ⋮ Some linear stability results for iterative schemes for implicit Runge-Kutta methods ⋮ On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods ⋮ Improving the efficiency of the iterative schemes for implicit Runge-Kutta methods ⋮ Theoretical and practical aspects of space-time DG-SEM implementations ⋮ Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow ⋮ Inexact Newton-Type Optimization with Iterated Sensitivities ⋮ Lifted collocation integrators for direct optimal control in ACADO toolkit ⋮ An improved approximate Newton method for implicit Runge-Kutta formulas ⋮ Convergence on error correction methods for solving initial value problems ⋮ Stiff differential equations solved by Radau methods ⋮ Efficient implementation of Radau collocation methods ⋮ Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes ⋮ Efficient implementation of Gauss collocation and Hamiltonian boundary value methods ⋮ A method for constructing generalized Runge-Kutta methods ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ A Direct Time Parallel Solver by Diagonalization for the Wave Equation ⋮ Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations ⋮ Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge--Kutta Schemes for Parabolic PDEs ⋮ Some schemes for the implementation of implicit Runge-Kutta methods ⋮ Numerical experiments with a multistep Radau method ⋮ Speeding up Newton-type iterations for stiff problems ⋮ Implementation of high-order implicit Runge-Kutta methods ⋮ Adaptive nested implicit Runge-Kutta formulas of Gauss type ⋮ On an L-stable method for stiff differential equations ⋮ An implementation of singly-implicit Runge-Kutta methods ⋮ Recent advances in methods for numerical solution of O.D.E. initial value problems ⋮ Efficient time integrators in the numerical method of lines ⋮ Diagonally implicit Runge-Kutta formulae for the numerical integration of nonlinear two-point boundary value problems ⋮ On the use of parallel processors for implicit Runge-Kutta methods ⋮ A scheme for the implementation of implicit Runge-Kutta methods ⋮ Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems ⋮ Iterative schemes for Gauss methods
This page was built for publication: An Efficient Solution Process for Implicit Runge–Kutta Methods
