Numerical methods for ordinary differential equations : proceedings of the workshop held in L'Aquila (Italy), Sept. 16-18, 1987
著者
書誌事項
Numerical methods for ordinary differential equations : proceedings of the workshop held in L'Aquila (Italy), Sept. 16-18, 1987
（Lecture notes in mathematics, 1386）
Springer-Verlag, c1989
- : gw
- : us
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注記
"Symposium on Ordinary Differential Equations"--Introd
Includes bibliographical references
内容説明・目次
内容説明
Developments in numerical initial value ode methods were the focal topic of the meeting at L'Aquila which explord the connections between the classical background and new research areas such as differental-algebraic equations, delay integral and integro-differential equations, stability properties, continuous extensions (interpolants for Runge-Kutta methods and their applications, effective stepsize control, parallel algorithms for small- and large-scale parallel architectures). The resulting proceedings address many of these topics in both research and survey papers.
目次
Stability in linear abstract differential equations.- Parallelism across the steps for difference and differential equations.- On the spectrum of families of matrices with applications to stability problems.- DAEs: ODEs with constraints and invariants.- A comparative study of Chebyshev acceleration and residue smoothing in the solution of nonlinear elliptic difference equations.- A note on Picard-Lindeloef iteration.- Aspects of parallel Runge-Kutta methods.- Tolerance proportionality in ODE codes.
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