Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
M512, Spring 2013: HW # 3
Read Sections 2.3.1 and 3.1.1 of the book.
Exercises:
In all the problems formulated below is a small parameter: 0 < 1.
1. Find the leading order approximation of the solution of the following boundary value problem:
d2 u du
2u
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
M512, Spring 2013: HW # 2
Read Section 2.1 of the book as well as a part of Section 2.2.3 related to formulation of equations
of chemical kinetics.
Exercises:
In all the problems formulated below is a small parameter: 0 < 1.
1. Dene the asymptotic solutio
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
M512, Spring 2013: HW # 1
Read Chapter 1 of the book.
Exercises:
In all the problems formulated below is a small parameter: 0 < 1.
1. For the following problems nd the exact solutions u and the solutions u0 of the reduced
problems with = 0. Check using de
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
1/26/2013
Applied Asymptotic Methods (Introduction to Boundary Function Method) Lecture Set #5
Leonid V. Kalachev Department of Mathematical Sciences University of Montana
Based of the book The Boundary Function Method for Singular Perturbation Problems b
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
1/26/2013
Applied Asymptotic Methods (Introduction to Boundary Function Method) Lecture Set #4
Leonid V. Kalachev Department of Mathematical Sciences University of Montana
Based of the book The Boundary Function Method for Singular Perturbation Problems b
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
1/26/2013
Applied Asymptotic Methods (Introduction to Boundary Function Method) Lecture Set #6
Leonid V. Kalachev Department of Mathematical Sciences University of Montana
Based of the book The Boundary Function Method for Singular Perturbation Problems b
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
1/26/2013
Applied Asymptotic Methods (Introduction to Boundary Function Method) Lecture Set #3
Leonid V. Kalachev Department of Mathematical Sciences University of Montana
Based of the book The Boundary Function Method for Singular Perturbation Problems b
Topics in Applied Mathematics: Applied Asymptotic Methods
MATH 511

Spring 2013
Applied Asymptotic Methods (Introduction to Boundary Function Method) Lecture Set #2
Leonid V. Kalachev Department of Mathematical Sciences University of Montana
Based of the book The Boundary Function Method for Singular Perturbation Problems by A.B. Vas