Math Methods 2

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  • Created by: Anita
  • Created on: 07-05-15 19:23
R E Q T U A U H K E O Q L T Y Y J S O L L
D R G X Y N X Y V X Y U Q N I F B V C I O
N A L P K J V O Y I S R L W Y X P G U S K
H O A J K B N W X D J N N X R S J V S V Q
J B D Y F I Q Q Q G U I X G B X I H P Q B
R E B H U S R G L G E X F I K J D N L N V
G V C V F X B W D R D B B R N Y L X N E K
A U I S C O N S T A N T O R U X J Y A H L
H C M M D F D Z X U X C C O N S T A N T K
P R H L V N V S G G Q O N F I X U B V O G
D H D U D T L A P L A C I A N U A Q L T R
S M Y D E N A X N X A F O R F I X E D A T
N G N J C U P A U G G V B E F M T L S F R
Q L A P L A C I A N F D E L T A X A E O U
T A O N C L A P L A C I A N O F U F Q I C
L Q A S A S W R I U J N J G Q W B F A P T
E S S S Y J O M V P B A B F M Y M Q X Q F
K I J G B M G A K F Q X F O Q K D A B M H
K H S P V W L I O T G R X J B M J N S K Q
Y D H D C P D V K L D B Y A F D U B F Q L
P Y K H N E Y X G N A L V C G K U O H Q K

Clues

  • If F(x,y,z)=F(x,z) what is the EL equation? (8, 8)
  • State Green's integral representation (3)
  • State the Mean value property for harmonic functions (3)
  • What are the outcomes of the strong maximum principle? (1, 2, 8, 2, 2)
  • What is a Green's function for the Dirichlet problem? (5, 4)
  • What is Poisson's equation? (9, 2, 1, 1)
  • What is the fundamental solution of Laplace's equation? (9, 1, 6, 1)
  • What is the Heat equation? (13, 1)
  • What is the shifted Newtonian potential? (5, 1, 3, 5, 1)
  • What is the solution of the Dirichlet problem? (3)

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