Math Methods 2

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

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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