Elmar Klausmeier's Blog on Computers, Programming, and Mathematics (Page 4)

Stability Mountains for Tischer8

, 14 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer8 -o3 -r160 Tischer8: var data2d_Tischer8 = [ [0.00000000, 0.00000000, 1], [1.43636886, 0.00000000, 1], …

Stability Mountains for Tischer7

, 13 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer7 -o3 -r140 Tischer7: var data2d_Tischer7 = [ [0.00000000, 0.00000000, 1], [1.23029604, 0.00000000, 1], …

Stability Mountains for Tischer6

, 13 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer6 -o3 -r140 Tischer6: var data2d_Tischer6 = [ [-0.00000000, 0.00000000, 1], [1.02040816, 0.00000000, 1], …

Stability Mountains for Tischer5

, 11 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer5 -o3 -r120 Tischer5: var data2d_Tischer5 = [ [-0.00000000, 0.00000000, 1], [0.79110795, 0.00000000, 1], …

Stability Mountains for Tischer4

, 11 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer4 -o3 -r120 Tischer4: var data2d_Tischer4 = [ [-0.00000000, 0.00000000, 1], [0.67604110, 0.00000000, 1], …

Stability Mountains for Tischer3

, 11 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f Tischer3 -o3 -r120 Tischer3: var data2d_Tischer3 = [ [-0.00000000, 0.00000000, 1], [0.67604110, 0.00000000, 1], …

Stability Mountains for Tendler7

, 13 min read

Beware, this three-dimensional graphic needs some time to load. 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 Below is the output of: stabregion3 -f Tendler7 -o3…

Stability Mountains for Tendler6

, 9 min read

Beware, this three-dimensional graphic needs some time to load. 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 Below is the output of: stabregion3 -f Tendler6 -o3…

Stability Mountains for Tendler5

, 7 min read

Beware, this three-dimensional graphic needs some time to load. 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 Below is the output of: stabregion3 -f Tendler5 -o3…

Stability Mountains for Tendler4

, 6 min read

Beware, this three-dimensional graphic needs some time to load. 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 Below is the output of: stabregion3 -f Tendler4 -o3…

Stability Mountains for Tendler3

, 5 min read

Beware, this three-dimensional graphic needs some time to load. 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 Below is the output of: stabregion3 -f Tendler3 -o3…

Stability Mountains for BDF6

, 7 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF6 -o3 -r80 BDF6: var data2d_BDF6 = [ [-0.00000000, 0.00000000, 1], [0.00000000, 0.07853982, 1], [0.00000013,…

Stability Mountains for BDF5

, 12 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF5 -o3 -r140 BDF5: var data2d_BDF5 = [ [-0.00000000, 0.00000000, 1], [0.00000000, 0.04487989, 1], [0.00000009,…

Stability Mountains for BDF4

, 3 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF4 -o3 BDF4: var data2d_BDF4 = [ [0.00000000, 0.00000000, 1], [-0.00030117, 0.31363742, 1], [-0.01591525, 0.61910050,…

Stability Mountains for BDF3

, 6 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF3 -o3 -L2.5:-8:5:7 -r60 BDF3: var data2d_BDF3 = [ [0.00000000, 0.00000000, 1], [-0.00002979, 0.10472352, 1], …

Stability Mountains for BDF2

, 7 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF2 -o3 -r80 BDF2: var data2d_BDF2 = [ [-0.00000000, 0.00000000, 1], [0.00000950, 0.07870096, 1], [0.00015158,…

Stability Mountains for BDF1

, 7 min read

This is in continuation of: Stability Regions for BDF and Tendler's Formulas Stability Regions for Tischer's Formulas Below is the output of: stabregion3 -f BDF1 -o3 -r80 BDF1: var data2d_BDF1 = [ [0.00000000, 0.00000000, 1], [0.00308267, 0.07845910, 1], [0.01231166, 0.15643447,…

Stability Regions for Donelson and Hansen Formulas

, 21 min read

In the seminal paper Cyclic Composite Multistep Predictor-Corrector Methods the two authors Donelson and Hansen derive cyclic multistep methods of high order and break the first Dahlquist barrier. Their formulas have the following properties. Method stages ℓ steps k order…

Stability Regions for Mihelčić's Formulas

, 42 min read

Matija Mihelcic and K. Wingerath searched for cyclic multistep methods, which were of high order p had a remarkable low number of stepnumbers k adhered to the condition of annulated dominance order p step k cycle length l 4 3 2 5 3 3 6 4 4 7 5 5 Bibliography: Matija (Miško)…

Vodafone Internet Outage #3

, 1 min read

From Thursday, 03-Jul-2025, starting at 23:10 (CET), internet provided by Vodafone was unavailable. The outage lasted until Friday, 04-Jul-2025, 06:40 (CET). I personally didn't notice anything until 06:00, as I was asleep. So for seven and a half hours I had no internet and the blog went…



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