By Thomas E. Reilly, O. Lehn Franke, and Gordon D. Bennett
Preface
Abstract
Introduction
Purpose and Scope
Acknowledgment
Linear systems and linear equations
Definition of superposition
Application of superposition to a simple hydrologic system
Mathematical demonstration of superposition concept
Boundary conditions, stresses, and initial conditions in models that use superposition
Problem 1
Exercise
Discussion
Application of superposition in a well problem
Advantages of superposition
Constraints on the use of superposition
Problem 2
Exercise
Discussion
Application of superposition to nonlinear systems
Summary and concluding remarks
References cited
Appendixes:
1: Discussion of the solution of differential equations and the role of boundary conditions
2: Recognition of linear and nonlinear differential equations
3: Completed worksheets
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