Topics in Engineering Mathematics

Inhaltsverzeichnis

• A kaleidoscopic excursion into numerical calculations of differential equations.
• 1. Introduction.
• 2. Logistic equation.
• 3. Harmonic oscillator.
• 4. Wave equations.
• 5. Epilogue.
• An introduction to the Finite Element Method.
• 2. An elementary example.
• 3. The 2-dimensional Poisson equation.
• 4. Final remarks.
• Coupling of sound and structural vibrations.
• 2. Governing equations and analysis.
• 3. Numerical results and discussion.
• Mathematical modeling and dimensional analysis.
• 2. Mathematical Modeling.
• 3. Dimensional Analysis.
• 4. Four-wheel steering.
• About difference equations, algebras and discrete events.
• 1. Difference equations.
• 2. Changing the algebra.
• 3 Example on production.
• 4. Some graph theory and the spectral theory of matrices.
• 5. A stochastic extension.
• 6. Counter versus dater description.
• 7. The Z-transform.
• 8. Conclusions.
• Acoustical detection of obstructions in a pipe with a temperature gradient.
• 2. The problem.
• 3. The model.
• 4. Solution.
• 5. Results.
• 6. Conclusions.
• Interior point approach to linear programming: theory, algorithms and parametric analysis.
• 2. Central approach to the theory of LP.
• 3. A polynomial-time path-following algorithm.
• 4. Parametric analysis.
• Some reflections on Newton’s Method.
• 1. Introduction and motivation.
• 2. Rational Newton Flows.
• 3. Structural Stability.
• 4. Newton Graphs.
• 5. Characterization of Newton Graphs.
• 6. Open problems.
• Recurrence and induction in Computer Science.
• 2. Strings of Symbols.
• 3. Gray codes and recursiveness.
• 4. Recursive algorithms.