Chapter 9
Boundary Value problems
Selected Reading
Numerical Recipes, 2nd edition: Chapter 19
Briggs, William L. 1987, A Multigrid Tutorial, SIAM, Philadelphia.
In previous sections we have been been concerned with time dependent initial
value problems wh
PARTIAL DERIVATIVES
Functions of Several Variables
Definition
A function f of two variables is a rule that assigns to each ordered pair of
real numbers ( x, y) in a set D a unit real number denoted by f ( x, y). The set D is the
domain of f is the set of
Calculus of Variation
The calculus of variation is a powerful technique for the solution of problems in dynamics of
rigid bodies, optimization of orbits and vibration problems. The subject primarily concerns
with finding maximum or minimum value of a defi
Homework
z Chapter 6
Chapter 6
cfw_29, 33, 35, 39, 45, 49, 53, 57, 63, 67, 71, 79, 87
Principles of Reactivity: Energy
and Chemical Reactions
Thermodynamics vs. Kinetics
Energy
A.E.
Kinetics
E or H
Reaction Coordinate
What type of reaction is this one?
Th
Lecture Notes
Wave Equations
1. Occurrence of the Wave equation
One of the most important and typical homogeneous hyperbolic differential equations is
the wave equation. It is of the form
2u
c 2 2u
2
t
where c is the wave speed. This differential equati
Lecture Notes
Eigen Value Problems
Gerschgorins Theorem:
The largest eigenvalue in modulus of a square matrix A cannot exceed the largest sum of
the moduli of the elements along any row or any column.
Example: Find the interval which contains the eigenval
Lecture Notes
Partial Differential Equations
Applied Engineering Mathematics
Lecture Notes
Unit I: Partial Differential Equations
Semester 1
Dr. A.S.V. Ravi Kanth
Associate Professor
Fluid Dynamics Division
School of Advanced Sciences
VIT University
Dr. A
Equilibrium
Chemical Equilibrium
Chemical equilibria are dynamic
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How far does the reaction go?
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Equilibrium constant
expression
Consider the general reaction
aA+bBcC+dD
The equilibrium constant expression is
given by
[C ] [ D ]
a
b
[ A] [ B
Definitions
BC3252y: Part II
Heat, Work,
and Energy
James
Joule
System: clearly defined part of space and whatever is
within it. The rest, outside the defined boundaries, is
called the surroundings.
A system is
isolated if neither energy nor matter is exc
Lecture 2: Enthalpy
Reading: Zumdahl 9.2, 9.3
Outline
Definition of Enthalpy (DH)
Definition of Heat Capacity (Cv and Cp)
Calculating DE and DH using Cv and Cp
Definition of Enthalpy
Thermodynamic Definition of Enthalpy (H):
H = E + PV
E = energy of