Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Math Expert


Home >> Math

Perturbation Methods Problem

Consider the integral

1965_notation.jpg

Where the notation is

956_notation_2.jpg

means a contour that is parallel to the real z axis, but moved down by a distance d.

Use the method of steepest descents to derive the full asymptotic expansion of I2 in the limit e → 0. You will have to treat the cases s > 0 and s < 0 separately, although much of the working is the same for each.

Math, Academics

  • Category:- Math
  • Reference No.:- M91520

Have any Question? 


Related Questions in Math

Question you will recommend a course of action regarding

Question: You will recommend a course of action regarding strategic planning in light of the issue the healthcare organization is facing. Be sure to address the following: 1. Provide a brief summary of the issue facing t ...

Assignment - provide solution to the following questionsq1

Assignment - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3x dx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find ...

Question 1 what is the nth order approximation using taylor

Question: 1. What is the nth order approximation using Taylor series? 2. What is Error Propagation? 3. Please explain what the total numerical error is? Please illustrate how the change of step size will affect the total ...

Clarity succinctness writing your name and netid1

Clarity, succinctness, writing your name and Netid: 1 Indistinguishability 1. If {X n }n is computationally indistinguishable from {Y n } n , {Y n } n is computationally indistin- guishable from {Z n } n, then (select th ...

Assignment - solving the five question in the very details

Assignment - Solving the five question in the very details, thanks a lot. Question - Let a ∈ P n be a point. Show that the one-point set {a} is a projective variety, and compute explicit generators for the ideal I p ({a} ...

Question 1 - for the ivp of ode y t-1e-y y1 0 find an

Question 1 - For the I.V.P of ODE y' = (t-1)e -y , y(1) = 0, find an approximation to y(1.2) using the following numerical methods with Δt = 0.1. Compare the numerical solution with the exact solution and compute the err ...

1 suppose that n 10088821 is a product of two distinct

1. Suppose that n = 10088821 is a product of two distinct primes, and Φ(n) = 10082272. Determine the prime factors of n. 2. It is easy to show that the converse of Fermat's Theorem does not hold; i.e., the congruence a n ...

Instructionsthe aim of the assignment is that the

Instructions The aim of the assignment is that the student/group studies and applies numerical methods such as Euler's method, the Improved Euler's method and the Runge-Kutta method to solve first-order differential equa ...

Questions - provide solution to the following questionsq1

Questions - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3xdx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find t ...

Maths assignment - 1 analysis of a data setusing a

Maths Assignment - 1. Analysis of a data set Using a continuous data set you are requested to collect in the types of data and gathering data section, perform a statistical analysis on your data. You have opportunities t ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As