Elmar Klausmeier's Blog

This is in continuation of: Stability Regions for Varah's Formulas Design Notes on System for the Analysis of Order- and Stepsize Changes for Cyclic Composite Multistep Methods Tendler-like Formulas for Stiff ODEs Below is the output of: rm -f /tmp/v3c st…

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This blog uses Pagefind to provide search on this website.

This is a continuation of the post Performance Comparison: gzip vs Brotli three years ago.

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I explored the possibility of employing Content Security Policy for this very blog.

This post shows how to call the GUPTRI algorithm from C.

Here we analyze the two methods from Eldon Hansen (1969).

Brittney Lowe Hartley discusses why she is an atheist.

Here we analyze the three methods from Christoph Fredebeul, which were mentioned in Albrecht (1989).

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The classical Runge-Kutta method of order 4 with 4 stages. $$ \begin{array}{c|cccc} {1\over2} & {1\over2}\\ {1\over2} & 0 & {1\over2}\\ 1 & 0 & 0 & 1\\ \hline & {1\over6} & {1\over3} & {1\over3} & {1\over6} \end{array} $$ Runge-Kutta formulas can be formu…

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Fortsetzung der TENDLER Programmbeschreibung.

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Schalten in Programmen.

Schalten in Programmen.

Schalten in Programmen.

Schalten in Programmen.

Schalten in Programmen.

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This blog is a niche blog.

Fortsetzung der TENDLER Programmbeschreibung.

Fortsetzung der TENDLER Programmbeschreibung.

Fortsetzung der TENDLER Programmbeschreibung.

Here we analyze the method from Majid/Suleiman/Omar.

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This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas We analyze below method from Rubin, see his Fig. 4.2.

Abstract.

In Searching for Tendler-like formulas we presented new Tendler-like cyclic linear multistep formulas for the solution of stiff differential equations.

Blog posts on this very blog are created in Markdown with MathJax, i.e., LaTeX formulas, sprinkled in.

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This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler9 -o3 -r180 eTendler9: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler8 -o3 -r160 eTendler8: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler7 -o3 -r140 eTendler7: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler6 -o3 -r160 eTendler6: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler5 -o3 -r90 eTendler5: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler4 -o3 -r90 eTendler4: You can rotate the graphic…

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Stability Regions for eTendler Formulas Below is the output of: stabregion3 -f eTendler3 -o3 -r90 eTendler3: You can rotate the graphic…

In Searching for Tendler-like formulas we developed new cyclic linear multistep formulas for the numerical solution of ordinary differential equations.

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Problem statement: Loop over a variable number of loops.

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The parasitic roots $\lambda_i$ of a multistep method are the roots, which are not 1.

Fortsetzung der TENDLER Programmbeschreibung.