Computing for Numerical Methods Using Visual C++
Chapter One
Modeling and Simulation
1.1 Numerical Approximations
1.2 C++ for Numerical Modeling
1.3 Mathematical Modeling
1.4 Simulation and Its Visualization
1.5 Numerical Methods
1.6 Numerical Applications
References
1.1 NUMERICAL APPROXIMATIONS
Numerical methods is an area of study in mathematics that discusses the solutions
to various mathematical problems involving differential equations, curve fittings,
integrals, eigenvalues, and root findings through approximations rather than exact
solutions. This discussion is necessary because the exact solutions to these problems
are difficult to obtain through the analytical approach. For example, it may be wise
to evaluate
[[integral].sup.5.sub.-1] x sin x dx,
as the exact solution can be obtained through a well-known technique in calculus
called integration by parts. However, it is not possible to apply the same method or
any other analytical method to solve
[[integral].sup.2.sub.0] [e.sup.-x] ... read full excerpt from Computing for Numerical Methods Using Visual C++ ebook
