Course Outline:
Solution of nonlinear equations
Methods for Solving Systems of Linear
Equations
Approximation
Numerical Differentiation and Integration
Integration using Monte Carlo techniques
Numerical methods for Ordinary Differential
Equations (ODE)
Numerical methods for Stochastic
Differential
equations (SDE)
TENTATIVE SYLLABUS
Week 1 Chapter 1,2,3 (2.2,2.3; 3.1)
Week 2 Chapter 3,4 (3.2, 3.3, 3.4, 3.6, 4.1, 4.2 )
Week 3 Chapter 4 (4.2,4.3, 4.4)
Week 4 Chapter 4 (4.6, 4.7)
Week 5 Chapter 5 and 6 (5.1, 5.2, 5.3, 6.1)
Week 6 Chapter 6 (6.1., 6.2, 6.3., 6.4, 6.8)
Week 7 Chapter 6 (6.8, 6.12, 6.13 ) and 7 (7.1, 7.2)
Week 8 Chapter 7
Week 9 Chapter 7 and Monte Carlo quadrature (material will be distributed)
Week 10 Monte Carlo quadrature (material will be distributed), Chapter 8
Week 11 Chapter 8
Week 12 Chapter 8
Week 13 Chapter 8
Week 14
Week 15