1. Ebene (Plane)
    ∑N −→ 1 Q(x) = (x)i,x(0) = 0 ,σ(0) = √-- i=1 N

  2. Kugel (Sphere)
    ∑N 2 (0) −→ (0) −10 Q(x) = (x)i,x = 1,σ = 1,und Q final = 10 i=1

  3. Korridormodell
    { (x)1 f¨ur − b < (x)k < b, k = 2,...,N (0) −→ (0) Q (x ) = ∞ sonst ,b,x = 1,σ ,und Q final

  4. Ellipsoid (Ellipsoid)
    ( i− 1 ) 2 N∑ ------ (0) −→ (0) −10 Q (x) = (a N − 1(x)i) ,a = 1000,x = 1 ,σ = 1,und Qfinal = 10 i=1

  5. Zigarre (Cigar)
    N∑ −→ Q (x) = (x)21 + (a ⋅(x)i)2,a = 1000,x(0) = 1 ,σ (0) = 1,und Qfinal = 10−10 i=2

  6. Daigonalzigaree (Diagonal cigar)
    N∑ (a2 − 1) (∑N )2 −→ Q(x) = a2⋅ (x)21−------- (x)i ,a = 1000,x(0) = 1,σ(0) = 1,und Qfinal = 10−10 i=2 N i=1

  7. Diskus (Tablet)
    2 N∑ 2 (0) −→ (0) −10 Q (x) = (a⋅(x)1) + (x)i,a = 1000,x = 1,σ = 1,und Qfinal = 10 i=1

  8. Summe verschiedener Potenzen (Sum off different powers)
    ∑N 2+10-i−-1- −→ Q(x) = |(x)i| N − 1 ,x(0) = 1 ,σ (0) = 0.1,und Q final = 10−15 i=1

  9. Rosebrock (Rosenbrock)
    ∑N ( ( ) ) −→ Q(x) = a ⋅ (x)2i − (x)i− 12 + ((x)i − 1)2 ,a = 100,x(0) = 0 ,σ (0) = 0.1,und Q final = 10−10 i=2

  10. Halbkugel
    N∑ −→ Q(x) = (x)2i,(x)1 > 0,x(0) = 1 ,σ(0) = 1,und Q final = 10−10 i=1

  11. Sektorkugel
    N Q(x) = ∑ (x)2,(x)i > 0 f¨ur i = 1,...,N, x(0) = −→1,σ(0) = 1,und Q final = 10−10 i=1 i

  12. Stufenkugel
    (⌊ ( ∑N ) ⌋) Q(x) = exp ln (x)2i ,x (0) = −→1 ,σ(0) = 1,und Q final = 10−10 i=1

  13. Würfel
    (0) −→ (0) − 10 Q(x) = i=m1a,.x..,N (|(x)i|),x = 1,σ = 1,und Q final = 10

  14. Rhomboid
    N∑ −→ Q (x) = i⋅|(x)i|,x(0) = 1 ,σ(0) = 1,und Qfinal = 10−10 i=1


  15. Parabelgrat (Parabel ridge)
    N Q (x) = − (x) + a⋅∑ (x)2,a = 100,x(0) = −→0,σ(0) = 1,und Q = − 1000 1 i=2 i final

  16. Biparabelgrat
    ( N )2 Q(x) = − (x)1+a ⋅ ∑ (x)2 ,a = 100,x(0) = −→0 ,σ(0) = 1,und Qfinal = − 1000 i=2 i

  17. Kegelgrat (Sharp ridge)
    ------- ┌││ ∑N Q (x) = − (x)1 + a⋅∘ (x)2,a = 100,x(0) = −→0,σ(0) = 1,und Q final = − 1000 i=2 i

  18. Kantengrat
    N∑ −→ Q (x) = − (x)1 + a ⋅ |(x)i|,a = 100,x(0) = 0 ,σ(0) = 1,und Q final = − 1000 i=2

  19. Rippelgrat
    N Q(x) = − (x) + (0.2+sin2((x) ))⋅∑ |(x)|,x(0) = −→0 ,σ (0) = 1,und Q = − 1000 1 1 i=1 i final

  20. Erg Chebbi
    ∑N ( (kπ (∑N ) )) −→ Q(x) = (x)2k⋅exp 9⋅sin2 ---+ 0.2⋅log (x)2i ,x(0) = 1 ,σ (0) = 1,und Qfinal = 10−10 k=1 N i=1

  21. Schwefel (Schwefel)
    ( )2 N∑ (∑N ) (0) −→ (0) −10 Q (x) = (x)j ,x = 1 ,σ = 1,und Qfinal = 10 i=1 j=1

  22. Grat (?)
    ( N )M Q (x) = − (x)+a ⋅ ∑ (x)K ,a = 100,x (0) = −→0,σ(0) = 1,und Q = − 1000 K,M 1 i=2 i final