Runge-Kutta methods with a multiple real eigenvalue only

DOI10.1007/BF01932722zbMath0345.65036MaRDI QIDQ4114712

Syvert P. Nørsett

Publication date: 1976

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (27)

Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting ⋮ Comparison of adaptive methods for one-dimensional parabolic systems ⋮ Integrated space-time adaptive \(hp\)-refinement methods for parabolic systems ⋮ Local error estimation for multistep collocation methods ⋮ Stability of implicit Runge-Kutta methods for nonlinear stiff differential equations ⋮ On the Implementation of Singly Implicit Runge-Kutta Methods ⋮ A note on the efficient implementation of implicit methods for ODEs ⋮ Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems ⋮ On diagonally iterated Runge-Kutta methods for dissipative ODEs ⋮ Real pole approximations to the exponential function ⋮ Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ The adaptation of STRIDE to delay differential equations ⋮ On the implementation of implicit Runge-Kutta methods ⋮ The role of orthogonal polynomials in numerical ordinary differential equations ⋮ Applications of doubly companion matrices ⋮ \(B\)-theory of general linear methods for Volterra functional differential equations ⋮ A special family of Runge-Kutta methods for solving stiff differential equations ⋮ CWI contributions to the development of parallel Runge-Kutta methods ⋮ Recent advances in linear analysis of convergence for splittings for solving ODE problems ⋮ Adaptive nested implicit Runge-Kutta formulas of Gauss type ⋮ Efficient higher order implicit one-step methods for integration of stiff differential equations ⋮ Superconvergence for Multistep Collocation ⋮ Single step methods for inhomogeneous linear differential equations in Banach space ⋮ Simplifying assumptions for the order of partitioned multivalue methods ⋮ On the use of parallel processors for implicit Runge-Kutta methods ⋮ Blended implementation of block implicit methods for ODEs

Cites Work

• Perturbed collocation and Runge-Kutta methods
• C-polynomials for rational approximation to the exponential function
• Comparing numerical methods for stiff systems of O.D.E:s
• On the implementation of implicit Runge-Kutta methods
• Unnamed Item
• Unnamed Item

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