Arithmetic tests forA-stability,A[α]-stability, and stiff-stability
Copyright policy )Arithmetic tests forA-stability,A[α]-stability, and stiff-stability
Arithmetic tests forA-stability,A[α]-stability, and stiff-stability are presented as special cases of a general stability test for numerical integration methods. The test evolves from extracted properties of the characteristic polynomial (in two variables) of the numerical method applied to the prototype scalar ordinary differential equation $$\dot x = qx$$ , Re {q}<0. The several steps of the test impose root clustering conditions — such as being Hurwitz — on a polynomial of one variable.
- Syracuse University United States
- University of California, Berkeley United States
Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
Numerical investigation of stability of solutions to ordinary differential equations, Numerical methods for initial value problems involving ordinary differential equations
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