The Dahlquist test equation is the scalar linear initial-value problem y′=λy. A one-step method reduces it to yn+1=R(hλ)yn, thereby defining its stability function R.
Ancestors (5)
Incoming links (60)
- A-alpha stability
- Adaptive Euler step doubling for exponential decay
- Amplification polynomial of a multistep method
- A-stability of a symmetric two-stage implicit Runge-Kutta family
- A-stability of near-diagonal exponential Padé approximants
- Classical fourth-order Runge-Kutta method
- Dahlquist test equation
- Euclidean logarithmic norm
- Euler method
- Fourth-order two-stage Gauss collocation method
- Lobatto IIIA method
- L-stability
- Maximal-order Runge-Kutta methods are A-stable
- Padé identification of a Radau stability function
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- Strict linear stability domain
- Theta method
- Two-node collocation A-stability criterion
- Two-stage Runge-Kutta family with an implicit second stage
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