Lesson 1 Flashcards
provide approximations to the
problems in question.
Numerical methods
involves the study of methods of computing numerical data
Numerical analysis
ISSUES IN USING NUMERICAL METHODS
Rate of convergence
Accuracy
Completeness of the response
techniques used in the formulation of mathematical problems so they can be solved with arithmetic operations.
Numerical methods
one mutual characteristics
They always contains large numbers of tedious arithmetic computations.
three different ways in which engineers approached the problem solving
- Analytical or exact methods are used to derive solutions to mathematical problems.
- Behavior of some systems were characterized by graphical solutions.
- Devices such as calculators and slide rules can be used in the manual implementation of numerical methods.
undoubtedly one of the most powerful tools available today. They are capable of managing large systems of equations, non-linearities, and complicated geometries which are unusual in engineering practice and are often impossible to be solved analytically.
Numerical methods
efficient vehicle for learning to
use computers.
Numerical methods
deliver a way for you to strengthen your understanding of mathematics.
Numerical methods
formulation or equation that expresses the essential
features of a physical system or process in mathematical
terms. It can be represented as a functional relationship of
the form.
MATHEMATHICAL MODEL
characteristic that shows the behavior or state of the system
Dependent variable
indicates the dimensions, such as time and space, along with the system’s behavior is being determined
Independent variable
reflective of the system’s properties or composition
Parameters
external influences acting upon the system.
Forcing Functions
satisfies the original differential equation, however, there are many mathematical models that cannot be solved exactly.
Analytical or Exact Solution
