APMA 6370 - Singular Perturbation Theory

Institution:

University of Virginia-Main Campus

Subject:

Applied Mathematics

Description:

Analyses of regular perturbations; roots of polynomials; singular perturbations in ODE’s; periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals; Laplace Integrals; stationary phase; and steepest descents. Examples are drawn from physical systems. Cross-listed as MAE 637.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.virginia.edu/

Phone Number:

(434) 924-0311

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Semester

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