On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups
Copyright policy )On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups
We consider variable stepsize time approximations of holomorphic semigroups on general Banach spaces. For strongly A ( θ ) {\text {A}}(\theta ) -acceptable rational functions a general stability theorem is proved, which does not impose any constraint on the ratios between stepsizes.
Banach space, variable stepsize, sectorial operator, holomorphic semigroup, rational approximation to the exponential, Numerical methods for initial value problems involving ordinary differential equations, Lax stability, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
Banach space, variable stepsize, sectorial operator, holomorphic semigroup, rational approximation to the exponential, Numerical methods for initial value problems involving ordinary differential equations, Lax stability, Linear differential equations in abstract spaces, Numerical solutions to equations with linear operators, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations
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