Indique si cada uno de los siguientes se identifica con (1) un activo, (2) un pasivo o (3)
patrimonio del propietario:
Cuentas por cobrar
Cuentas por pagar
dinero
Honorarios ganados
tierra
Costos de renta
suministros
tierra.
Indicate whether each statement applies to the equilibrium potential (.pdfaartechindia
Indicate whether each statement applies to the equilibrium potential (put E), resting potential (R),
both (B) or neither ( N ). Defined for individual ion species Depends on ion permeabilities
Depends on ion concentrations Is positive for Ca 2 + in a typical cell Is always negative for
anions.
Indirect Transfers (through an investment hankino firm) Select the thr.pdfaartechindia
Indirect Transfers (through an investment hankino firm) Select the three ( 3 ) correct answers:
The financial institution issues its own securities (financial claims) to the saver. The financial
institution first purchase the securities issued by a corporation and then resells the securities to
savers and investors. Savers provide money to purchase the business firm's securities. No
intermediary is used in this type of savings-investment transaction. Investors directly own shares
of stock of securities purchased from the investment banking firm..
Indigo- Inc- had the following equity investment portfolio at January (1).pdfaartechindia
Indigo, Inc. had the following equity investment portfolio at January 1, 2020. During 2020 , the
following transactions took place. 1. On March 1, Rogers Company paid a $2 per share dividend.
2. On April 30, Indigo, Inc. sold 310 shares of Chance Company for $10 per share. 3. On May 15
, Indigo, Inc. purchased 100 more shares of Evers Company stock at $17 per share. 4. At
December 31,2020 , the stocks had the following price per share values: Evers $18 , Rogers $17 ,
and Chance $8 . During 2021, the following transactions took place. 5. On February 1, Indigo,
Inc. sold the remaining Chance shares for $8 per share. 6. On March 1, Rogers Company paid a
$2 per share dividend. 7. On December 21, Evers Company declared a cash dividend of $3 per
share to be paid in the next month. 8. At December 31, 2021, the stocks had the following price
per share values: Evers $20 and Rogers $19 . Drepare a partial balance sheet showing the
investment-related amounts to be reported at December 31, 2020 and 2021..
Indicate whether each of the following is a revenue center- cost cente.pdfaartechindia
Indicate whether each of the following is a revenue center, cost center, profit center, or
investment center.
A. Amazon
B. the baby section at JC Penney in St. Louis, MO
C. Procter and Gamble
D. the sales department of StubHub
E. the Walmart in Winslow, AZ
F. the Red Robin in Orlando, FL
G. the IT department at Sure Light
H. Best Buy.
Increasing the amount of cholesterol in a lipid bilayer would likely Q (1).pdfaartechindia
Increasing the amount of cholesterol in a lipid bilayer would likely
Question 14 options:
Increase the fluidity of the membrane
decrease the fluidity of the membrane
make the transition between fluid and non-fluid phases of the bilayer more gradual
increase the permeability of the membrane to polar molecules
cause the membrane to become more negatively charged
Increase the fluidity of the membrane
decrease the fluidity of the membrane
make the transition between fluid and non-fluid phases of the bilayer more gradual
increase the permeability of the membrane to polar molecules
cause the membrane to become more negatively charged.
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) a.pdfaartechindia
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) and identify if there is any
abnormality with the sex chromosome genotype. If there is no abnormality, indicate the sexual
phenotype.
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) and identify if there is any
abnormality with the sex chromosome genotype. If there is no abnormality, indicate the sexual
phenotype..
Indicate the amount of revenue that Beanville should recognize in its (4).pdfaartechindia
Indicate the amount of revenue that Beanville should recognize in its 2020 (1) government-wide
statements and (2) governmental fund statements. Provide a brief justification or explanation for
your responses.
In December 2020 Beanville sold a city-owned warehouse to a private developer. Sales price
was $4.2 million. The warehouse had cost $4 million when it was acquired 10 years earlier. It
had an estimated useful life of 40 years (with no salvage value)..
Indicate the amount of revenue that Beanville should recognize in its (1).pdfaartechindia
Indicate the amount of revenue that Beanville should recognize in its 2020 (1) government-wide
statements and (2) governmental fund statements. Provide a brief justification or explanation for
your responses.
It estimates the balance of $32 million would be uncollectible. In addition, in the period from
January 1 through February 28, 2020, the city collected $16 million in taxes that were delinquent
as of December 31, 2019. In the period March 1 through June 30 2020, the city collected $8
million of taxes that were also delinquent as of December 31, 2019..
Indicate whether each statement applies to the equilibrium potential (.pdfaartechindia
Indicate whether each statement applies to the equilibrium potential (put E), resting potential (R),
both (B) or neither ( N ). Defined for individual ion species Depends on ion permeabilities
Depends on ion concentrations Is positive for Ca 2 + in a typical cell Is always negative for
anions.
Indirect Transfers (through an investment hankino firm) Select the thr.pdfaartechindia
Indirect Transfers (through an investment hankino firm) Select the three ( 3 ) correct answers:
The financial institution issues its own securities (financial claims) to the saver. The financial
institution first purchase the securities issued by a corporation and then resells the securities to
savers and investors. Savers provide money to purchase the business firm's securities. No
intermediary is used in this type of savings-investment transaction. Investors directly own shares
of stock of securities purchased from the investment banking firm..
Indigo- Inc- had the following equity investment portfolio at January (1).pdfaartechindia
Indigo, Inc. had the following equity investment portfolio at January 1, 2020. During 2020 , the
following transactions took place. 1. On March 1, Rogers Company paid a $2 per share dividend.
2. On April 30, Indigo, Inc. sold 310 shares of Chance Company for $10 per share. 3. On May 15
, Indigo, Inc. purchased 100 more shares of Evers Company stock at $17 per share. 4. At
December 31,2020 , the stocks had the following price per share values: Evers $18 , Rogers $17 ,
and Chance $8 . During 2021, the following transactions took place. 5. On February 1, Indigo,
Inc. sold the remaining Chance shares for $8 per share. 6. On March 1, Rogers Company paid a
$2 per share dividend. 7. On December 21, Evers Company declared a cash dividend of $3 per
share to be paid in the next month. 8. At December 31, 2021, the stocks had the following price
per share values: Evers $20 and Rogers $19 . Drepare a partial balance sheet showing the
investment-related amounts to be reported at December 31, 2020 and 2021..
Indicate whether each of the following is a revenue center- cost cente.pdfaartechindia
Indicate whether each of the following is a revenue center, cost center, profit center, or
investment center.
A. Amazon
B. the baby section at JC Penney in St. Louis, MO
C. Procter and Gamble
D. the sales department of StubHub
E. the Walmart in Winslow, AZ
F. the Red Robin in Orlando, FL
G. the IT department at Sure Light
H. Best Buy.
Increasing the amount of cholesterol in a lipid bilayer would likely Q (1).pdfaartechindia
Increasing the amount of cholesterol in a lipid bilayer would likely
Question 14 options:
Increase the fluidity of the membrane
decrease the fluidity of the membrane
make the transition between fluid and non-fluid phases of the bilayer more gradual
increase the permeability of the membrane to polar molecules
cause the membrane to become more negatively charged
Increase the fluidity of the membrane
decrease the fluidity of the membrane
make the transition between fluid and non-fluid phases of the bilayer more gradual
increase the permeability of the membrane to polar molecules
cause the membrane to become more negatively charged.
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) a.pdfaartechindia
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) and identify if there is any
abnormality with the sex chromosome genotype. If there is no abnormality, indicate the sexual
phenotype.
Indicate the sexual phenotype of Drosophila melanogaster (fruit fly) and identify if there is any
abnormality with the sex chromosome genotype. If there is no abnormality, indicate the sexual
phenotype..
Indicate the amount of revenue that Beanville should recognize in its (4).pdfaartechindia
Indicate the amount of revenue that Beanville should recognize in its 2020 (1) government-wide
statements and (2) governmental fund statements. Provide a brief justification or explanation for
your responses.
In December 2020 Beanville sold a city-owned warehouse to a private developer. Sales price
was $4.2 million. The warehouse had cost $4 million when it was acquired 10 years earlier. It
had an estimated useful life of 40 years (with no salvage value)..
Indicate the amount of revenue that Beanville should recognize in its (1).pdfaartechindia
Indicate the amount of revenue that Beanville should recognize in its 2020 (1) government-wide
statements and (2) governmental fund statements. Provide a brief justification or explanation for
your responses.
It estimates the balance of $32 million would be uncollectible. In addition, in the period from
January 1 through February 28, 2020, the city collected $16 million in taxes that were delinquent
as of December 31, 2019. In the period March 1 through June 30 2020, the city collected $8
million of taxes that were also delinquent as of December 31, 2019..
India's major change in development strategy occurred in 1991 because.pdfaartechindia
India's major change in development strategy occurred in 1991 because a collapsing Soviet
Union no longer sent major aid flows to India occurred with Nehru's decision in 1948 to promote
foreign direct investment and open markets has been forced on India at the beginning of the 21 st
century because of intense competition from China occurred in 1991 because the country needed
to obtain loans to face a major balance of payments crisis.
Incubator operators try to pick those businesses that have the best Fi.pdfaartechindia
Incubator operators try to pick those businesses that have the best
Financial Backing
Experience Base
Community Knowledge
Chance for Success
Branding Design
Employees
Financial
Backing
Experience Base
Community Knowledge
Chance for Success
Branding Design
Employees.
Indexes and registries allow health information to be maintained and r.pdfaartechindia
Indexes and registries allow health information to be maintained and retrieved by health care
facilities for the purpose of education, planning, research, and other informational purposes. The
following is the website for the National Institutes of Health research registries. Pick one subject
to examine and discuss your findings and thoughts on the particular research registry, and be
detailed in your explanation..
Incomplete (missing items) vs Delinquent (fallen beyond the record tim.pdfaartechindia
Incomplete (missing items) vs Delinquent (fallen beyond the record time frame) 1. Dr. John
Jones dictated an H\&P on Mrs. Karen Winters while she was admitted to the hospital. Winters
was discharged last week on November 7 . As of this morning Dr. Jones has yet to sign off on
the H\&P. a. Incomplete b. Delinquent Why? 2. Mrs. Betty White was discharged on October 1*,
2019. As of this morning her discharge summary has not been signed off on by the physician. a.
Incomplete b. Delinquent Why? 3. Sal Smith passed away on October 35 = , 2019 . As of this
morning his final autopsy report has not. been issued. a. Incomplete b. Delinquent Why? 4. Dr.
Harris Rinehart gave a vO/TO to Taylor Farris, RN on November 11th, 2019. As of today Dr.
Rinehart has not signed off on the VO which he gave to Taylor. (Our facility practices per CMS
CoP) a. Incomplete b. Delinquent Why?.
Incorporate the SOR method in the multigridTest-m and apply the multig.pdfaartechindia
Incorporate the SOR method in the multigridTest.m and apply the multigridTest.m, to
determine the effects of changes in
Pre-smoothing iterations
Post-smoothing iterations
Multigrid cycle type
Iterative method
Number of grids (or grid hierarchy)
% SOR (Successive Over-Relaxation)
n = input('Enter number of equations, n: ');
A = zeros(n,n+1);
x1 = zeros(1,n);
A=[5 -2 3 -1;-3 9 1 2;2 -1 -7 3];
x1 = [0 0 0];
tol = input('Enter tolerance, tol: ');
m = input('Enter maximum number of iterations, m: ');
w = input('Enter the parameter w (omega): ');
k = 1;
while k <= m
err = 0;
for i = 1 : n
s = 0;
for j = 1 : n
s = s-A(i,j)*x1(j);
end
s = w*(s+A(i,n+1))/A(i,i);
if abs(s) > err
err = abs(s);
end
x1(i) = x1(i)+s;
end
if err <= tol
break;
else
k = k+1;
end
end
fprintf('The solution vector after %d iterations is :\n', k);
for i = 1 : n
fprintf(' %11.8f \n', x1(i));
end
%% Multigrid test case with visulization
% Author: Ben Beaudry
clc; clear; close all
load A_b.mat;
A = full(A); % Unsparce matrix to show full power of Multigrid
pre = 2; % Number of presmoothing iterations
post = 2; % Number of postsmoothing iterations
% cycle = 1; % Type of multigrid cycle (1=V-cycle, 2=W-cycle, 3=F-cycle)
smooth = 1; % Smoother type (1=Jacobi, 2=Gauss-Seidel)
grids = 5; % Max grids in cycle
maxit = 10; % Max iterations of solver
tol = 1e-02; % Tolerance of solver
%% Solvers
% solve directly
t=cputime;
x_D = A\b;
fprintf('Direct Solve Time: %g Seconds\n',cputime-t)
% V-Cycle
t=cputime;
[x_V,res_V,it_V] = multigrid(A,b,pre,post,1,smooth,grids,maxit,tol);
fprintf('V-Cycle Solve Time: %g Seconds\n',cputime-t)
% W-Cycle
t=cputime;
[x_W,res_W,it_W] = multigrid(A,b,pre,post,2,smooth,grids,maxit,tol);
fprintf('W-Cycle Solve Time: %g Seconds\n',cputime-t)
% F-Cycle
t=cputime;
[x_F,res_F,it_F] = multigrid(A,b,pre,post,3,smooth,grids,maxit,tol);
fprintf('F-Cycle Solve Time: %g Seconds\n',cputime-t)
% max it for iterative methods
it = 100;
% Gauss-Siedel
t=cputime;
L = tril(A);
U = triu(A,1);
x_G = zeros(length(b),1);
res_G= zeros(it,1);
for g = 1:it
x_G = L\(b-U*x_G);
r = b - A * x_G;
res_G(g) = norm(r);
if res_G(g) < tol
break;
end
end
fprintf('Gauss-Seidel Solve Time: %g Seconds\n',cputime-t)
% Jacobi
t=cputime;
d = diag(A);
dinv = 1./d;
LU = tril(A,-1)+triu(A,1);
U = triu(A,1);
x_J = zeros(length(b),1);
res_J= zeros(it,1);
for j = 1:it
x_J = dinv.*(b-(LU*x_J));
r = b - A * x_J;
res_J(j) = norm(r);
if res_J(j) < tol
break;
end
end
fprintf('Jacobi Solve Time: %g Seconds\n',cputime-t)
%% Plotting
figure;
hold on
plot(1:g,res_G(1:g),'o-','DisplayName','Guass-Seidel')
plot(1:j,res_J(1:j),'o-','DisplayName','Jacobi')
plot(1:it_V,res_V(1:it_V),'o-','DisplayName','V-Cycle Multigrid')
plot(1:it_F,res_F(1:it_F),'o-','DisplayName','F-Cycle Multigrid')
plot(1:it_W,res_W(1:it_W),'o-','DisplayName','W-Cycle Multigrid')
set(gca,'XLim',[0 100]);
grid on
legend('location','best')
ylabel('Relative Convergance')
xlabel('Iterations')
title('Convergance of Numerical System')
hold off
MULTIGRID FUNC.
Increasingly consumers are using social media to voice complaints that.pdfaartechindia
Increasingly consumers are using social media to voice complaints that have not been resolved
through other means.
How are organizations responding to social media complaint?
Hiring social media specialist
Ignoring social media complaint that seem to be just venting
Paying consumers to post positive comments
Focusing on the person making the complaint, not the facts.
income seatement The folowing account balanoes were taken trom the adj.pdfaartechindia
income seatement The folowing account balanoes were taken trom the adjusted triat balance for
Urgent Messenger Service, a dellvery service firm, for the ficcat year eoded Novenber Jo, 20Y1:
Prepars an tocome staternend..
In _________ as the mitotic spindles move to opposite sides of the cel.pdfaartechindia
In _________ as the mitotic spindles move to opposite sides of the cell, the chromosomes line up
along the middle of the cell. Then, in________ the chromosomes separate and one chromatid
goes to each side of the cell. And finally, in_________ new nuclear membranes form around the
separated chromosomes and the DNA starts to decondense while
the mitotic spindles disappear..
Inatech is contemplating two different projects and decides to perform.pdfaartechindia
Inatech is contemplating two different projects and decides to perform a financial analysis to
determine which is more financially lucrative. Project A and B have the cash flows as shown and
Inatech uses a required rate of return of 10% and an inflation rate of 4% . Compute the payback
in years and the net present value for both projects and offer advice as to the best course of
action..
in xv6 system i have a program in c that shows process state- but afte.pdfaartechindia
in xv6 system
i have a program in c that shows process state, but after i change Makefile, it not working, what i
missed?
this is the code called pstate.c
#include "types.h"
#include "stat.h"
#include "user.h"
int main(void) {
struct proc *p;
for (p = ptable.proc; p < &ptable.proc[NPROC]; p++) {
if (p->state == UNUSED) {
continue;
}
printf("%d %s\n", p->pid, states[p->state]);
}
exit();
}
this is the error.
In which of the following situations is a worker eligible to receive u.pdfaartechindia
In which of the following situations is a worker eligible to receive unemployment benefits?
When a worker has left a job voluntarily When a worker is unemployed because of a labor
dispute When a worker is able and available to work and is actively seeking work When a
worker has been terminated for gross misconduct.
In your own words- explain what a lahar is- Question 2 (1 point) Compa.pdfaartechindia
In your own words, explain what a lahar is. Question 2 (1 point) Compare and contrast lahars
and debris flows. If Lahars are a volcanic hazard, why should anyone care about them when the
last eruption of Wy'east/Mt. Hood took place more than 200 years ago? rigure s: Mazara zones
arouna mi. Mood apelea oy nazara type. Examine this map of volcanic hazards in Mt. Hood, and
read the descriptions in the Volcano Hazard Zones. Describe how these hazards are distributed
throughout the area..
In which of the following situations would we expect to see the highes.pdfaartechindia
In which of the following situations would we expect to see the highest rate/occurrence of
symbiotic rhizobial nitrogen fixation? Peas or beans (legumes) were grown in the soil in a
previous growing season. Lack of bioavailable nitrogen sources in the soil. Presence of abundant
ammonia fertilizer in soils. Temperate climate conditions. In which of the following situations
would we expect to see the highest rate/occurrence of symbiotic rhizobial nitrogen fixation?
Presence of abundant ammonia fertilizer in soils. Peas or beans (legumes) were grown in the soil
in a previous growing season. Lack of bioavailable nitrogen sources in the soil. Temperate
climate conditions..
In your own words- define promissory estoppel- what elements need to b.pdfaartechindia
In your own words, define promissory estoppel, what elements need to be present for it to be
present and provide an example.
In your own words, differentiate between material and minor breach of contract. Define each of
these breaches in at least one sentence and provide an example of each.
Define the types of remedies that are available for breach of contract. Provide an example of
each..
In which of the following situations use of oral polio vaccine (OPV) i.pdfaartechindia
In which of the following situations use of oral polio vaccine (OPV) is preferred over inactivated
polio vaccine (IPV): Family contacts of immunocompromised patients Mass immunization
programs in areas of high poliomyelitis endemicity Patients receiving immunosuppressive
therapy Routine infant vaccination Adult immunization.
In which pH range will bacteria be most likely to grow- a- pH8 to pH12.pdfaartechindia
In which pH range will bacteria be most likely to grow? a. pH 8 to pH 12 b. pH 1 to pH 4 c. pH 4
to pH 6 d. pH 6 to pH 8 QUESTION 4 An organism that requires a high concentration of salt in
its environment to survive is called a. Halophile b. Halotolerant c. Salt sensitive d.
Osmodeficient e. Acidophile.
In what ways can roots take up nutrients- (Select all that apply) Nutr.pdfaartechindia
In what ways can roots take up nutrients? (Select all that apply) Nutrients moving away from
roots Moves to where the nutrients are Bulk flow moving nutrients in Intercepting the nutrients
in the soil Diffusion bringing nutrients in QUESTION 4 Why is soil particle size important to
nutrient availability? It controls how easily nutrients detach from the soil particle It controls how
easily water moves through the soil Is impacts how well roots absorb oxygen It influences how
soil moves.
In what ways can we increase public awareness of our ecological footpr.pdfaartechindia
In what ways can we increase public awareness of our ecological footprints?
Why do people ignore issues of sustainability?
What are some effective ways to reduce material consumption in everyday life while maintaining
livability?
How can the issues of sustainability be brought forth on a local level?.
In Unit 1- we have been learning about business information systems an.pdfaartechindia
In Unit 1, we have been learning about business information systems and how they relate to the
information processing cycle. Computer systems are made up of components, and the
information processing cycle is made up of stages. In paragraph form, tell me what you have
learned about business information systems and the first three components (hardware, software,
data/information) that make up the "technology piece" of the system. Identify and describe the
following:
-each stage of the cycle
-the hardware components used in each stage and what they do
-operating system software and application software, their purpose, and the roles they play as
part of a computer system.
-the processing of data into information
please response with 500 words maximum.....
In Venezuela- there are a smail number of extremely wealthy households.pdfaartechindia
In Venezuela, there are a smail number of extremely wealthy households and an extremely large
number of very poor households. If the United States were represented in the figure by Lorenz
curve c , which curve would represent Venezuela? Muitiple Cholce 0 c a.
India's major change in development strategy occurred in 1991 because.pdfaartechindia
India's major change in development strategy occurred in 1991 because a collapsing Soviet
Union no longer sent major aid flows to India occurred with Nehru's decision in 1948 to promote
foreign direct investment and open markets has been forced on India at the beginning of the 21 st
century because of intense competition from China occurred in 1991 because the country needed
to obtain loans to face a major balance of payments crisis.
Incubator operators try to pick those businesses that have the best Fi.pdfaartechindia
Incubator operators try to pick those businesses that have the best
Financial Backing
Experience Base
Community Knowledge
Chance for Success
Branding Design
Employees
Financial
Backing
Experience Base
Community Knowledge
Chance for Success
Branding Design
Employees.
Indexes and registries allow health information to be maintained and r.pdfaartechindia
Indexes and registries allow health information to be maintained and retrieved by health care
facilities for the purpose of education, planning, research, and other informational purposes. The
following is the website for the National Institutes of Health research registries. Pick one subject
to examine and discuss your findings and thoughts on the particular research registry, and be
detailed in your explanation..
Incomplete (missing items) vs Delinquent (fallen beyond the record tim.pdfaartechindia
Incomplete (missing items) vs Delinquent (fallen beyond the record time frame) 1. Dr. John
Jones dictated an H\&P on Mrs. Karen Winters while she was admitted to the hospital. Winters
was discharged last week on November 7 . As of this morning Dr. Jones has yet to sign off on
the H\&P. a. Incomplete b. Delinquent Why? 2. Mrs. Betty White was discharged on October 1*,
2019. As of this morning her discharge summary has not been signed off on by the physician. a.
Incomplete b. Delinquent Why? 3. Sal Smith passed away on October 35 = , 2019 . As of this
morning his final autopsy report has not. been issued. a. Incomplete b. Delinquent Why? 4. Dr.
Harris Rinehart gave a vO/TO to Taylor Farris, RN on November 11th, 2019. As of today Dr.
Rinehart has not signed off on the VO which he gave to Taylor. (Our facility practices per CMS
CoP) a. Incomplete b. Delinquent Why?.
Incorporate the SOR method in the multigridTest-m and apply the multig.pdfaartechindia
Incorporate the SOR method in the multigridTest.m and apply the multigridTest.m, to
determine the effects of changes in
Pre-smoothing iterations
Post-smoothing iterations
Multigrid cycle type
Iterative method
Number of grids (or grid hierarchy)
% SOR (Successive Over-Relaxation)
n = input('Enter number of equations, n: ');
A = zeros(n,n+1);
x1 = zeros(1,n);
A=[5 -2 3 -1;-3 9 1 2;2 -1 -7 3];
x1 = [0 0 0];
tol = input('Enter tolerance, tol: ');
m = input('Enter maximum number of iterations, m: ');
w = input('Enter the parameter w (omega): ');
k = 1;
while k <= m
err = 0;
for i = 1 : n
s = 0;
for j = 1 : n
s = s-A(i,j)*x1(j);
end
s = w*(s+A(i,n+1))/A(i,i);
if abs(s) > err
err = abs(s);
end
x1(i) = x1(i)+s;
end
if err <= tol
break;
else
k = k+1;
end
end
fprintf('The solution vector after %d iterations is :\n', k);
for i = 1 : n
fprintf(' %11.8f \n', x1(i));
end
%% Multigrid test case with visulization
% Author: Ben Beaudry
clc; clear; close all
load A_b.mat;
A = full(A); % Unsparce matrix to show full power of Multigrid
pre = 2; % Number of presmoothing iterations
post = 2; % Number of postsmoothing iterations
% cycle = 1; % Type of multigrid cycle (1=V-cycle, 2=W-cycle, 3=F-cycle)
smooth = 1; % Smoother type (1=Jacobi, 2=Gauss-Seidel)
grids = 5; % Max grids in cycle
maxit = 10; % Max iterations of solver
tol = 1e-02; % Tolerance of solver
%% Solvers
% solve directly
t=cputime;
x_D = A\b;
fprintf('Direct Solve Time: %g Seconds\n',cputime-t)
% V-Cycle
t=cputime;
[x_V,res_V,it_V] = multigrid(A,b,pre,post,1,smooth,grids,maxit,tol);
fprintf('V-Cycle Solve Time: %g Seconds\n',cputime-t)
% W-Cycle
t=cputime;
[x_W,res_W,it_W] = multigrid(A,b,pre,post,2,smooth,grids,maxit,tol);
fprintf('W-Cycle Solve Time: %g Seconds\n',cputime-t)
% F-Cycle
t=cputime;
[x_F,res_F,it_F] = multigrid(A,b,pre,post,3,smooth,grids,maxit,tol);
fprintf('F-Cycle Solve Time: %g Seconds\n',cputime-t)
% max it for iterative methods
it = 100;
% Gauss-Siedel
t=cputime;
L = tril(A);
U = triu(A,1);
x_G = zeros(length(b),1);
res_G= zeros(it,1);
for g = 1:it
x_G = L\(b-U*x_G);
r = b - A * x_G;
res_G(g) = norm(r);
if res_G(g) < tol
break;
end
end
fprintf('Gauss-Seidel Solve Time: %g Seconds\n',cputime-t)
% Jacobi
t=cputime;
d = diag(A);
dinv = 1./d;
LU = tril(A,-1)+triu(A,1);
U = triu(A,1);
x_J = zeros(length(b),1);
res_J= zeros(it,1);
for j = 1:it
x_J = dinv.*(b-(LU*x_J));
r = b - A * x_J;
res_J(j) = norm(r);
if res_J(j) < tol
break;
end
end
fprintf('Jacobi Solve Time: %g Seconds\n',cputime-t)
%% Plotting
figure;
hold on
plot(1:g,res_G(1:g),'o-','DisplayName','Guass-Seidel')
plot(1:j,res_J(1:j),'o-','DisplayName','Jacobi')
plot(1:it_V,res_V(1:it_V),'o-','DisplayName','V-Cycle Multigrid')
plot(1:it_F,res_F(1:it_F),'o-','DisplayName','F-Cycle Multigrid')
plot(1:it_W,res_W(1:it_W),'o-','DisplayName','W-Cycle Multigrid')
set(gca,'XLim',[0 100]);
grid on
legend('location','best')
ylabel('Relative Convergance')
xlabel('Iterations')
title('Convergance of Numerical System')
hold off
MULTIGRID FUNC.
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