Introduction to Numerical Analysis
Dongwoo Sheen
Department of Mathematics
Seoul National University
Seoul 151-747, Korea
Email: sheen@snu.ac.kr
http:/www.nasc.snu.ac.kr
September 7, 2016; 13:42
Introduction to Numerical Analysis: Essentials with Programs
Chapter 3
Forces and Force Balances
4 Forces that control the movement of air
Pressure gradient force
Frictional force
Gravitational force
Coriolis force
Pressure Gradient Force
Pressure gradient: the rate at which
pressure changes with distance
How
Chapter 6
Tropical Cyclone (Typhoon )
Economic Losses by Natural Disasters (2001~2010)
Typhoon (60.1%)
Heavy Rainfall (26.8%)
Heavy Snowfall (12.4%)
Others (0.6%)
Hurricane Katrina
Typhoon Rusa
Global Distribution of Tropical Cyclones
Tropical cyclones do
Chapter 1
Natural Hazards,
Properties of the Atmosphere
Natural Hazards
Natural Hazards
Natural phenomena with extreme values around us. Inevitable
and uncontrollable occurrences such as floods, typhoon, and
earthquakes
Man-made Hazards
Hazards are techno
Chapter 4
The development of High/Low Pressure Systems
Convergence & Divergence
The relationship
between divergence,
convergence, and
vertical air motions in
air columns. Black
portions of arrows are
outside of columns,
while gray portions
are inside.
a)
Chapter 8
Tornado
A violently rotating column of air that is in contact with
both the surface of the earth and a cumulonimbus cloud or,
in rare cases, the base of a cumulus cloud.
Referred to as twisters or cyclones, although the word
cyclone is used in m
Chapter 2
Atmospheric Stability
Thunderstorm
Thunderstorm can produce violent weather, but occasionally.
What is the atmospheric conditions required for the development of the storm?
Development of Convective Cloud
If the ball returns to its original posi
Chapter 9
Lightning and Downburst
Lightning
100 lightning every second
10000 wild fires every year, 0.1 billion US dollars damage
About 50 people are electrocuted each year by lightning in the US
84% of all victims are male.
50 % ballparks, 22% under tree
Chapter 7
Thunderstorm
4 Elements for Thunderstorm Formation
Moisture source
Conditionally unstable atmosphere
Mechanism to trigger the thunderstorms updraft lifting or
surface heating
Vertical wind shear
Types of thunderstorm
Airmass thunderstorm
M
Fall, 2015
.
DME321: Numerical Modeling and Analysis
Final Examination
Dec. 17th AM9:00 ~ Dec. 19th AM 9:00
This is a take-home examination. You should follow the rules stated below:
1. You should not discuss the contents of this examination or your solut
Homework #4 (Submitted on Dec. 3, 2015)
Submit your codes as well as your answers by email (ylee@unist.ac.kr),
nott b
by printout.
i t t
The due is Dec. 10 (Tue) AM9:00.
1
Homework #4
Problem 1
Fi d th
Find
the d
derivative
i ti off th
the ffollowing
ll
Fall, 2015
DME321: Numerical Modeling and Analysis
Midterm Examination
October 27th , 2015
This is a take-home examination. You should follow the rules stated below:
1. You should not discuss the contents of this examination or your solutions with any of
DME321 Final Exam Solution, Problem 1
clear all; close all; clc;
x_decimal = input('Please provide a decimal number:
x_binary = dec2bin(x_decimal)
Please provide a decimal number: 10
x_decimal =
10
x_binary =
1010
')
DME321 Final Exam Solution, Problem 2
Homework #3 (Submitted on Nov. 10, 2015)
Submit your codes as well as your answers by email (ylee@unist.ac.kr),
nott b
by printout.
i t t
The due is Nov. 17 (Tue) AM9:00.
The maximum score is 100.
100
1
Homework #3
Problem 1
D t points
Data
i t are giv
DME321 Solution 04, Problem 1
clear all; close all; clc;
% Problem 1-(1) %
syms x
diff(@(x)log(sin(2*x),x)
% Problem 1-(2) %
diff(@(x)x^tan(x),x)
ans =
(2*cos(2*x)/sin(2*x)
ans =
x^(tan(x) - 1)*tan(x) + x^tan(x)*log(x)*(tan(x)^2 + 1)
DME321 Solution 04, P
Chapter 5
Airmasses and Fronts
How does it form?
Fronts and Symbols
a) Dry line
b) Cold front
c) Warm front
d) Occluded front
e) Upper level front
a) Dry line
b) Cold front
c) Warm front
d) Occluded front
e) Upper level front
10.
20.
a) Dry line
b) Cold
Homework #2
Submit your codes solving the following problems by email
(ylee@unist.ac.kr), not by printout. The due is Oct. 6 (Tue) AM10:15.
1
Homework #2
2
Homework #2
The size of vertor x should be at least 20.
3
Solution #1
clear all; close all; clc
A = [1 1 2 0;2 -1 0 1;1 -1 -1 -2;2 -1 2 -1];
b = [1;-2;4;0];
n = size(A,1);
for i=1:n-1
for j=i+1:n
if A(j,i)~=0
lambda1=A(j,i)/A(i,i);
A(j,i:n)=A(j,i:n)-lambda1*A(i,i:n);
b(j)=b(j)-lambda1*b(i);
end
end
end
for i=1:n
Homework #1
Construct a MATLAB code solving the equation system by using the
G
Gauss-Jordan
J d elimination
li i ti method.
th d
Submit your code by email (ylee@unist.ac.kr), not by printout.
The due is Sep. 24 (Thu) AM10:15.
1