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 around any axis.

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 around any axis.

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 around any axis.

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 around any axis.

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 around any axis.

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 around any axis.

In Searching for Tendler-like formulas we developed new cyclic linear multistep formulas for the numerical solution of ordinary differential equations. These cyclic formulas are similar to Tendler's formulas. Order by order they improve on Widlund wedge angle and Widlund distance. In Die verwendeten zyklischen...

1. Einleitung 1.1 Problemstellung und gesellschaftliche Relevanz 1.2 Zielsetzung und Aufbau der Arbeit 1.3 Methodisches Vorgehen 1.4 Thematische Abgrenzungen 2. Theoretischer Rahmen und Grundannahmen 2.1 Begriff und Zielsetzung des Einsatzes von KI in der Verwaltung 2.2. Digitale Infrastrukturen und Datenräume als...

1. Dahlquist's test equation 2. Logarithmic error in double precision 3. Logarithmic error in single precision and other machines 4. Scripts to generate results 1. Dahlquist's test equation We tested the BDF, Tendler's formulas, new Tendler-like formulas, and Tischer's formulas on the classical test equation $$...

1. Baseline 2. Specific new formulas 3. Searching across grids 4. Various new formulas 5. stabregion2.c 1. Baseline The formulas from Tendler from 1973 are our baseline. Clearly, we want to improve them. So here we summarize their characteristics: p is the order l is the cycle length α is the Widlund wedge angle δ...

Problem statement: Loop over a variable number of loops. I.e., we want to search a parameter space and therefore want to loop over multiple loops. The number of loops is variable. The initial approach goes like this: for (p1=1; p1<=10; ++p1) for (p2=1; p2<=10; ++p2) for (p3=1; p3<=10; ++p3) for (p4=1; p4<=10; ++p4)...

1. Tischer's formulas All cyclic linear multistep methods were designed to only have root at 1, and all other parasitic roots to be zero. See Tischer, Peter E. and Sacks-Davis, Ron: “A New Class of Cyclic Multistep Formulae for Stiff Systems”. 2. Donelson & Hansen formulas See Donelson III, John and Hansen, Eldon:...