As a little prefix I'd like to briefly talk about error analysis/uncertainty in regards to the equations listed below. AQW is largely founded on an integer-based system, that is to say, many of the in-game values such as damage outputs, Spell Power etc are most likely rounded figures, derived from a non-integer based calculation. When testing for these DoT equations it was decided that values would be listed to 2 significant figures with rounding only being applied prior to this (i.e., to the nearest 0.01). In general the bigger the values, the less accuracy loss due to decimals becoming less and less significant as the numbers grow larger (another factor is the introduction of more variables which leads to even more accuracy loss, with respect to rounding), therefore with these combinations of factors not only is it not feasible to get 100% accuracy, it is mathematically impossible. As a consequence these equations are not the exact representations of say, what you would find in the game's code, however, all of these values have been tried and tested to be within the acceptable margin of error of about +-1%, leading to an accuracy of roughly 99%. With that out of the way, here are the DoT/HoT equations that I have documented thus far*:

Update: Recent information regarding the backend processing of DoT/HoTs has come to light explaining how the damage function values per tick are calculated. Essentially there is a damage coefficient which is then divided by the time in which the DoT aura lasts, for example: Lightcaster's 'Burned By Light' is said to deal 700% damage over 10s, 700%/10 = 70%, which yields the damage dealt per tick (in this case 70% Spell DPS). Another example is Great Thief's 'Shadow Amethyst', which says in-game that it deals 700% over 12s, 700%/12 = 58.3%, which is indeed the value per tick (in this case Weapon DPS).

[A]

• Abyssal Angel's Shadow

1. ('Sinned Arrow'); Scaling, base value = Weapon DPS*0.40, increases by (base value*1.00) with each stack. Classification: Magical.
2. ('Fallen's judgement'); Scaling = Spell DPS*1.35. Classification: Magical.

• Arachnomancer

1. ('Venom Fangs'); Scaling, base value = Spell DPS*0.52, increases by (base value*0.7) with each stack except for the last stack, which increases by (base value*0.40). Classification: Magical.
2. ('Web Miasma'); Scaling = (Weapon DPS*0.52) + (Spell DPS*0.58). Classification: Magical.

• Alpha-Omega ('Glow'); Scaling = Spell DPS*0.50. Classification: Magical.
• Artifact Hunter

1. ('Supreme Arcane Burn'); Scaling = Spell DPS*1.75. Classification: Magical.
2. ('Burning Ward'); Scaling = base damage taken*1.00. Ignores ALL damage modifiers (hard-capped at 1000)
3. ('Destiny'); Scaling = Weapon DPS*2.90. Classification: Magical.

[B]

• Bard

1. ('Healing Reel'); Scaling = Spell DPS*0.40. Classification: Magical.
2. ('Crescendo'); Scaling, base value = Weapon DPS*0.55, increases by (basevalue*0.28) with each stack. Classification: Magical.

• Blaze Binder

1. ('Combustion Blaze'); Scaling = Spell DPS*0.40. Classification: Magical.
2. ('Shadow Smoke'); Scaling = Spell DPS*1.12. Classification: Magical.
3. ('Dark Fire'); Scaling = Spell DPS*0.50. Classification: Magical.

[C]

• Chaos Shaper

1. ('Harmful Touch'); Scaling = Weapon Damage*1.165. Classification: Magical.
2. ('Healing Touch'); Scaling = Weapon Damage*0.83. Classification: Magical.
3. ('Backfire'); Scaling = Weapon Damage*0.50. Classification: Magical.

• Chrono Assassin ('Reverse Time'); Scaling = Weapon Damage*0.20. Classification: Magical.
• Chunin ('Rejuvenation'); Scaling = Weapon DPS*1.08. Classification: Magical.
• Cryomancer ('Frozen Tears'); Scaling = Spell Damage*0.36. Classification: Magical.

[D]

• Daimon

1. ('Psychic Burn'); Scaling = Spell DPS*1.33. Classification: Magical.
2. ('Mental Burn'); Scaling = Spell DPS*1.00. Classification: Magical.

• Deathknight

1. ('Soul Slash'); Scaling = Weapon Damage*0.50. Classification: Magical.
2. ???
3. ('Frostbite'); Scaling = Weapon Damage*2.20. Classification: Magical.
4. ('Deathgrip'); Scaling = Weapon Damage*1.60. Classification: Magical.
5. ('Deathshroud'); Scaling = Weapon Damage*0.50. Classification: Magical.

• Dragon Shinobi

1. ('Shadow Kunai'); Scaling, base value = Spell DPS*1.50, increases by (base value*0.66) with every stack except for the last stack (which only increases by base value*0.33). Classification: Magical.
2. ('Chi Heal'); Scaling = (Weapon DPS*3.265) + (Spell DPS*3.65). Classification: Magical.
3. ('Flaming Dragon'); Scaling = (Weapon DPS*1.73) + (Spell DPS*1.96). Classification: Magical.

• Dragonslayer ('Impaled'); Scaling = Weapon Damage*0.75. Classification: Magical.

[E]

• Elemental Dracomancer ('Dragonburn'); Scaling = Spell DPS*0.50. Classification: Magical.
• Evolved Pumpkin Lord

1. ('Siphoned'); Scaling = Weapon DPS*1.30. Classification: Magical.
2. ('Sprout'); Scaling = Weapon DPS*2.00. Classification: Magical.

[F]

• Frostval Barbarian ('Frostval Gifts'); Scaling = Weapon Damage*1.40. Classification: Magical

[G]

• Glacial Berserker ('Calm before the Storm'); Scaling = Weapon Damage*1.33. Classification: Magical.
• Great Thief

1. ('Shadow Amethyst'); Scaling = Weapon DPS*0.583. Classification: Magical.
2. ('Bleeding Out'); Scaling = Weapon DPS*0.563. Classification: Magical.

• Grim Necromancer

1. ('Rot'); Scaling, base value = Weapon DPS*0.03, increases by (base value*1.00) with each stack. Classification: Magical.
2. ('Grim Fate'); Scaling = Spell Damage*0.125. Classification: Magical.
3. ('Undeath'); Scaling = Spell Damage*0.20. Classification: Magical.

[H]

• Healer ('Radiance'); Scaling = Spell DPS*0.50. Classification: Magical.
• Horc Evader ('Shadow Strike'); Scaling, base value = Weapon DPS*0.40, increases by (base value*0.25) with every stack. Classification: Magical.

[I]

• Infinite Legion Dark Caster ('Styx Water'); Scaling = Spell DPS*0.50. Classification: Magical.
• Infinity Knight

1. ('Perpetual Rend'); Scaling, base value = (Weapon DPS*0.097) + (Spell DPS*0.145), increases by (base value*1.0) with every stack. Classification: Magical.
2. ('Daybreak Heal'); Scaling, base value = (Weapon DPS*0.085) + (Spell DPS*0.11), increases by (base value*1.0) with each stack. Classification: Magical.
3. ('Incinerating Era'); Scaling, base value = (Weapon DPS*2.48) + (Spell DPS*2.94), increases by (base value*0.5) with each stack. Classification: Magical.

[J]

[K]

[L]

• Legendary Elemental Warrior ('Blazing'); Scaling = (Spell DPS*0.40) + (Weapon DPS*0.35). Classification: Magical.
• Lighcaster ('Burned By Light'); Scaling = Spell DPS*0.70. Classification: Magical.
• Legion Revenant:

1. ('Exhortation'); Scaling = Spell Damage*1.04. Classification: Magical.
2. ('Consumed'); Scaling = (Weapon Damage*0.34) + (Spell Damage*0.372). Classification: Magical.

• Legion Blademaster Assassin

1. ('Reanimated'); Scaling = Weapon DPS*1.10. Classification: Magical.
2. ('Dark Mantle'); Scaling = Weapon DPS*0.95. Classification: Magical.

• Lycan ('Bloodlust'); Scaling, base value = Weapon DPS*0.38, increases by (base value*0.88) except for the last stack, which only increases by 20% base value. Classification: Magical.

[M]

• Mage ('Scorched'); Scaling = Spell DPS*0.20. Classification: Magical.
• Master Ranger

1. ('Scorching Arrow'); Scaling = Weapon DPS*0.70. Classification: Magical.
2. ('Vampiric Shot'); Scaling = Weapon DPS*0.30. Classification: Magical.

[N]

• Northlands Monk

1. ('Small Gift'); Scaling = Spell Damage*0.135. Classification: Magical.
2. ('Gift'); Scaling = Weapon Damage*0.675. Classification: Magical.
3. ('Large Gift'); Scaling = Spell Damage*0.70. Classification: Magical.
4. ('Small Present'); Scaling = Spell Damage*0.225. Classification: Magical.
5. ('Present'); Scaling = Spell Damage*0.375. Classification: Magical.
6. ('Large Present'); Scaling = Spell Damage*0.83. Classification: Magical.

[O]

• Oracle

1. ('Befriended'); Scaling = Spell DPS*0.73. Classification: Magical.
2. ('Divine Acquaintances'); Scaling = Spell DPS*0.53. Classification: Magical.

[P]

Pyromancer

1. ('Scorch'); Scaling = Spell DPS*0.33. Classification: Magical
2. ('Withering Burn'); Scaling = Spell Damage*0.25. Classification: Magical.
3. ('Flame Orb'); Scaling = Spell Damage*0.20. Classification: Magical.

[Q]

[R]

• Rogue('Viper's Kiss'); Scaling = Weapon DPS*0.93. Classification: Magical.

[S]

• Scarlet Sorceress

1. ('Rehabilation'); Scaling = Spell DPS*1.00. Classification: Magical.
2. ('Wrath of the Blood Mage'); Scaling, on player = Weapon DPS*2.00, on enemy = Spell DPS*2.00. Classification: Magical.

• ShadowScythe General ('Undead Rebirth'); Scaling = Weapon Damage*0.185. Classification: Magical.
• Shaman ('Hydrophobia'); Scaling = Spell Damage*0.50. Classification: Magical.

[T]

• Timeless Darkcaster

1. ('Dark Leech'); Scaling = Spell DPS*0.53. Classification: Magical.
2. ('Consumed By Shadows'); Scaling, base value = Spell DPS*0.1, increases by +(base value*3.4) with each stack. Classification: Magical.

[U]

Ultra Omniknight ('Recovery'); Scaling, base value = Spell Damage*0.04, increases by (base value*1.00) with each stack. Classification: Magical

[V]

• Vampire Lord ('Gouged'); Scaling = (Spell Damage*0.415) + (Weapon Damage*0.325). Classification: Magical.
• Void Highlord

1. ('Insolent Fools'); Scaling = Weapon Damage*0.40. Classification: Magical.
2. ('Soul Fend'); Scaling, base value = Weapon DPS*0.40, increases by (base value*1.00) with each stack. Classification: Magical.
3. ('Soul Breach'); Scaling, base value = Weapon DPS*0.20, increases by (base value*1.00) with each stack. Classification: Magical.

[W]

[X]

[Y]

[Z]