List questions from approximate-integration

Published on 11 Apr 2026 - 4:14

83

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Numerical method to integrate an exponentiated polynomial

Published on 11 May 2026 - 1:41

113

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Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Published on 25 Mar 2026 - 22:05

36

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Applications of highly oscillatory integrals

Published on 10 Apr 2026 - 20:25

20

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Stationary phase approximation, compact support needed

Published on 09 Apr 2026 - 23:01

124

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Prove that $ \int_0^1 x(\sec x)^2 \,dx < 1.$

Published on 16 Apr 2026 - 1:23

633

Views

Average distance to a random point in a rectangle from an arbitrary point

Published on 16 Apr 2026 - 9:58

566

Views

deriving an integral quadrature rule on a triangle

Published on 09 Apr 2026 - 22:11

1.6k

Views

Fourier Series of $\frac{\sin(x)}{x}$

Published on 13 Apr 2026 - 4:23

72

Views

integration of $(r\,du/dx)^2$

Published on 12 Apr 2026 - 14:18

68

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Finding the Tolerance of Adaptive Quadrature Estimations

Published on 13 Apr 2026 - 17:31

391

Views

Stationary Phase approximation of $\dfrac{1}{\pi}\int_0^{\pi}\cos(x\sin\theta-n\theta)d\theta$ (Bessel Function)

Published on 14 Apr 2026 - 17:21

195

Views

forms of the Romberg Method equation

Published on 12 Apr 2026 - 8:57

158

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Method of steepest descent to approximate $\int_0^1\frac{\cos(\lambda x^3)}{\left(x-\frac{1}{2}\right)^2+(\frac{1}{20})^2}dx$

Published on 17 Apr 2026 - 7:32

2k

Views

Approximate solution of differential equation

Published on 12 Apr 2026 - 6:53

List Question

Huge error bounds for midpoint rule in calculating integral

Numerical method to integrate an exponentiated polynomial

Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Applications of highly oscillatory integrals

Stationary phase approximation, compact support needed

Prove that $ \int_0^1 x(\sec x)^2 \,dx < 1.$

Average distance to a random point in a rectangle from an arbitrary point

deriving an integral quadrature rule on a triangle

Fourier Series of $\frac{\sin(x)}{x}$

integration of $(r\,du/dx)^2$

Finding the Tolerance of Adaptive Quadrature Estimations

Stationary Phase approximation of $\dfrac{1}{\pi}\int_0^{\pi}\cos(x\sin\theta-n\theta)d\theta$ (Bessel Function)

forms of the Romberg Method equation

Method of steepest descent to approximate $\int_0^1\frac{\cos(\lambda x^3)}{\left(x-\frac{1}{2}\right)^2+(\frac{1}{20})^2}dx$

Approximate solution of differential equation

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