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Recent questions tagged numerical-methods
Numerical Methods:
LU decomposition for systems of linear equations
Numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods
Numerical integration by trapezoidal and Simpson’s rules
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Which books are good to practice linear algebra and calculas?
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Oct 1, 2018
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GATE
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aditi19
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linear-algebra
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numerical-methods
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2
Syllabus:Numerical methods like newton method or bisection method part of syllabus of Gate?
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Sep 15, 2018
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Mathematical Logic
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bts1jimin
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199
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syllabus
numerical-methods
gate-preparation
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1
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3
#Numerical methods-syllabus
What is the syllabus for Engineering Mathematics - Numerical methods?
asked
Oct 13, 2017
in
Mathematical Logic
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Swati Rauniyar
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470
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numerical-methods
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1
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4
Virtual Gate Test Series: Numerical Ability - Percentage
A country’s GDP grew by $7.8%$ within a period. During the same period, the country’s per-capita-GDP (= ratio of GDP to the total population) increased by $10%.$ During this period, the total population of the country$?$ increased by $4\%$ decreased by $4\%$ increased by $2\%$ decreased by $2\%$
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Jan 19, 2017
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Numerical Ability
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Purple
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general-aptitude
numerical-methods
percentage
virtual-gate-test-series
+1
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0
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5
GATE1988-1i
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
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Dec 10, 2016
in
Numerical Methods
by
jothee
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105k
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gate1988
non-gate
numerical-methods
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0
answers
6
GATE1987-11b
Use Simpson's rule with $h=0.25$ to evaluate $ V= \int_{0}^{1} \frac{1}{1+x} dx$ correct to three decimal places.
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Nov 15, 2016
in
Numerical Methods
by
makhdoom ghaya
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30.2k
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216
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gate1987
non-gate
numerical-methods
simpsons-rule
0
votes
0
answers
7
GATE1987-11a
Given $f(300)=2,4771; f(304) = 2.4829; f(305) = 2.4843$ and $f(307) = 2.4871$ find $f(301)$ using Lagrange's interpolation formula.
asked
Nov 15, 2016
in
Numerical Methods
by
makhdoom ghaya
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30.2k
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gate1987
non-gate
numerical-methods
0
votes
0
answers
8
GATE1987-1-xxv
Which of the following statements is true in respect of the convergence of the Newton-Rephson procedure? It converges always under all circumstances. It does not converge to a tool where the second differential coefficient changes sign. It does not converge to a root where the second differential coefficient vanishes. None of the above.
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Nov 9, 2016
in
Numerical Methods
by
makhdoom ghaya
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30.2k
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220
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gate1987
numerical-methods
non-gate
newton-raphson
0
votes
0
answers
9
GATE1987-1-xxiv
The simplex method is so named because It is simple. It is based on the theory of algebraic complexes. The simple pendulum works on this method. No one thought of a better name.
asked
Nov 9, 2016
in
Numerical Methods
by
makhdoom ghaya
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30.2k
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175
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gate1987
numerical-methods
simplex-method
non-gate
+3
votes
2
answers
10
ISRO2009-51
The formula $P_k = y_0 + k \triangledown y_0+ \frac{k(k+1)}{2} \triangledown ^2 y_0 + \dots + \frac{k \dots (k+n-1)}{n!} \triangledown ^n y_0$ is Newton's backward formula Gauss forward formula Gauss backward formula Stirling's formula
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Jun 15, 2016
in
Numerical Methods
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jothee
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105k
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isro2009
numerical-methods
+3
votes
1
answer
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ISRO2009-47
The formula $\int\limits_{x0}^{xa} y(n) dx \simeq h/2 (y_0 + 2y_1 + \dots +2y_{n-1} + y_n) - h/12 (\triangledown y_n - \triangle y_0)$ $- h/24 (\triangledown ^2 y_n + \triangle ^2 y_0) -19h/720 (\triangledown ^3 y_n - \triangle ^3 y_0) \dots $ is called Simpson rule Trapezoidal rule Romberg's rule Gregory's formula
asked
Jun 15, 2016
in
Numerical Methods
by
jothee
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105k
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isro2009
numerical-methods
non-gate
+7
votes
1
answer
12
ISRO2009-44
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$
asked
Jun 3, 2016
in
Numerical Methods
by
Desert_Warrior
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7.9k
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isro2009
numerical-methods
+3
votes
2
answers
13
ISRO-2013-48
The Guass-Seidal iterative method can be used to solve which of the following sets? Linear algebraic equations Linear and non-linear algebraic equations Linear differential equations Linear and non-linear differential equations
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Apr 29, 2016
in
Numerical Methods
by
makhdoom ghaya
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30.2k
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1.5k
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isro2013
numerical-methods
guass-seidal-iterative-method
+1
vote
2
answers
14
GATE2015 EC-1: GA-5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $25/343$ $-25/49$ $-49/25$
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Feb 12, 2016
in
Numerical Ability
by
Akash Kanase
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41.5k
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gate2015-ec-1
general-aptitude
numerical-methods
logarithms
+11
votes
3
answers
15
GATE2015-3-50
The velocity $v$ (in kilometer/minute) of a motorbike which starts form rest, is given at fixed intervals of time $t$ (in minutes) as follows: t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0 The approximate distance (in kilometers) rounded to two places of decimals covered in 20 minutes using Simpson's $1/3^{rd}$ rule is ________.
asked
Feb 16, 2015
in
Numerical Methods
by
jothee
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105k
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1.4k
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gate2015-3
numerical-methods
simpsons-rule
normal
numerical-answers
+7
votes
2
answers
16
GATE2015-2-39
The secant method is used to find the root of an equation $f(x)=0$. It is started from two distinct estimates $x_a$ and $x_b$ for the root. It is an iterative procedure involving linear interpolation to a root. The iteration stops if $f(x_b)$ is very small and then $x_b$ is the solution. ... $x_b - (x_b-x_a) f_b / (f_b-f(x_a)) $ $x_a - (x_b-x_a) f_a / (f_b-f(x_a)) $
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Feb 13, 2015
in
Numerical Methods
by
jothee
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gate2015-2
numerical-methods
secant-method
normal
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answer
17
calculus
The estimate of $\int_{0.5}^{1.5}\frac{dx}{x}$ obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by (A) 0.235 (B) 0.068 (C) 0.024 (D) 0.012
asked
Jan 30, 2015
in
Numerical Methods
by
Nisha kumari
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317
points)
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242
views
numerical-methods
simpsons-rule
non-gate
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votes
0
answers
18
2012 numerical methed
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Jan 29, 2015
in
Numerical Methods
by
Nisha kumari
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317
points)
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110
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numerical-methods
out-of-syllabus-now
non-gate
+1
vote
1
answer
19
GATE2005-IT-2
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtained is always > (1/3) is always < (1/3) is always = (1/3) may be greater or lesser than (1/3)
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Nov 3, 2014
in
Numerical Methods
by
Ishrat Jahan
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gate2005-it
numerical-methods
trapezoidal-rule
normal
+2
votes
2
answers
20
GATE2004-IT-39
Consider the following iterative root finding methods and convergence properties: Iterative root finding methods Convergence properties Q. False Position I. Order of convergence = 1.62 R. Newton Raphson II. Order of convergence = 2 S. Secant III. Order of convergence = 1 with guarantee of convergence T. Successive ... , R-II, S-I, T-IV Q-II, R-I, S-IV, T-III Q-I, R-IV, S-II, T-III
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Nov 2, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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259
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gate2004-it
numerical-methods
normal
+2
votes
1
answer
21
GATE2004-IT-38
If f(l) = 2, f(2) = 4 and f(4) = 16, what is the value of f(3) using Lagrange's interpolation formula? 8 8(1/3) 8(2/3) 9
asked
Nov 2, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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313
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gate2004-it
numerical-methods
lagranges-interpolation
normal
0
votes
1
answer
22
GATE2006-IT-77
$x + y/2 = 9$ $3x + y = 10$ What can be said about the Gauss-Siedel iterative method for solving the above set of linear equations? it will converge It will diverse It will neither converge nor diverse It is not applicable
asked
Nov 1, 2014
in
Linear Algebra
by
Ishrat Jahan
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16.3k
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589
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gate2006-it
linear-algebra
normal
numerical-methods
non-gate
0
votes
1
answer
23
GATE2006-IT-76
x + y/2 = 9 3x + y = 10 The value of the Frobenius norm for the above system of equations is $0.5$ $0.75$ $1.5$ $2.0$
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Nov 1, 2014
in
Linear Algebra
by
Ishrat Jahan
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16.3k
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597
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gate2006-it
linear-algebra
normal
numerical-methods
non-gate
+6
votes
2
answers
24
GATE2006-IT-28
The following definite integral evaluates to $\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$
asked
Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
points)
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1k
views
gate2006-it
numerical-methods
normal
non-gate
0
votes
2
answers
25
GATE2006-IT-27
Match the following iterative methods for solving algebraic equations and their orders of convergence. Method Order of Convergence 1. Bisection P. 2 or more 2. Newton-Raphson Q. 1.62 3. Secant R. 1 4. Regula falsi S. 1 bit per iteration I-R, II-S, III-P, IV-Q I-S, II-R, III-Q, IV-P I-S, II-Q, III-R, IV-P I-S, II-P, III-Q, IV-R
asked
Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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255
views
gate2006-it
numerical-methods
normal
+4
votes
1
answer
26
GATE2007-IT-77
Consider the sequence $\left \langle x_n \right \rangle,\; n \geq 0$ defined by the recurrence relation $x_{n + 1} = c \cdot (x_n)^2 - 2$, where $c > 0$. For which of the following values of $c$, does there exist a non-empty open interval $(a, b)$ such that the sequence $x_n$ ... $0.25$ $0.35$ $0.45$ $0.5$ i only i and ii only i, ii and iii only i, ii, iii and iv
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Oct 31, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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576
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gate2007-it
numerical-methods
normal
non-gate
0
votes
1
answer
27
GATE2007-IT-22
The trapezoidal method is used to evaluate the numerical value of $\int_{0}^{1}e^x dx$. Consider the following values for the step size h. 10-2 10-3 10-4 10-5 For which of these values of the step size h, is the computed value guaranteed to be correct to ... Assume that there are no round-off errors in the computation. iv only iii and iv only ii, iii and iv only i, ii, iii and iv
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Oct 30, 2014
in
Numerical Methods
by
Ishrat Jahan
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16.3k
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434
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gate2007-it
numerical-methods
trapezoidal-rule
normal
out-of-syllabus-now
0
votes
1
answer
28
GATE2008-IT-30
Consider the function f(x) = x2 - 2x - 1. Suppose an execution of the Newton-Raphson method to find a zero of f(x) starts with an approximation x0 = 2 of x. What is the value of x2, the approximation of x that algorithm produces after two iterations, rounded to three decimal places? 2.417 2.419 2.423 2.425
asked
Oct 28, 2014
in
IS&Software Engineering
by
Ishrat Jahan
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16.3k
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247
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gate2008-it
numerical-methods
newton-raphson
normal
+4
votes
2
answers
29
GATE1996-2.5
Newton-Raphson iteration formula for finding $\sqrt[3]{c}$, where $c > 0$ is $x_{n+1}=\frac{2x_n^3 + \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - \sqrt[3]{c}}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 + c}{3x_n^2}$ $x_{n+1}=\frac{2x_n^3 - c}{3x_n^2}$
asked
Oct 9, 2014
in
Numerical Methods
by
Kathleen
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52.2k
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412
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gate1996
numerical-methods
newton-raphson
normal
out-of-syllabus-now
0
votes
3
answers
30
GATE1995-2.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k-2x_k/\left(x^2_k+b\right)$ None of the above
asked
Oct 8, 2014
in
Numerical Methods
by
Kathleen
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52.2k
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528
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gate1995
numerical-methods
newton-raphson
normal
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