Partial Differential Equations and Applied Mathematics Seminar

Slides:



Advertisements
Similar presentations
Basic Mathematical Models; Direction Fields. A Falling Object.
Advertisements

ECE602 BME I Partial Differential Equations in Biomedical Engineering.
1 MECH 221 FLUID MECHANICS (Fall 06/07) Tutorial 6 FLUID KINETMATICS.
Introduction to Differential Equations
PDEs: General classification
Math for CSLecture 11 Mathematical Methods for Computer Science Lecture 1.
Partial differential equations Function depends on two or more independent variables This is a very simple one - there are many more complicated ones.
Chapter 2 Sets, Relations, and Functions SET OPERATIONS The union of A and B.
Systems of Linear Equations Vocabulary. This is a System of Linear Equations.
Chapter 2 Solution of Differential Equations Dr. Khawaja Zafar Elahi.
Partial Differential Equations Introduction –Adam Zornes, Deng Li Discretization Methods –Chunfang Chen, Danny Thorne, Adam Zornes.
INTRODUCTION TO CONDUCTION
Math 3120 Differential Equations with Boundary Value Problems Chapter 4: Higher-Order Differential Equations Section 4-9: Solving Systems of Linear Differential.
L.I. Petrova “Specific features of differential equations of mathematical physics.” Investigation of the equations of mathematical physics with the help.
Advanced Higher Mechanics Linear and Parabolic Motion Mathematical Techniques for Mechanics Force, Energy and Periodic Motion AH.
1 EEE 431 Computational Methods in Electrodynamics Lecture 3 By Dr. Rasime Uyguroglu.
Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.
Introduction to PDE classification Numerical Methods for PDEs Spring 2007 Jim E. Jones References: Partial Differential Equations of Applied Mathematics,
Introduction to Numerical Methods for ODEs and PDEs Lectures 1 and 2: Some representative problems from engineering science and classification of equation.
Mathe III Lecture 7 Mathe III Lecture 7. 2 Second Order Differential Equations The simplest possible equation of this type is:
3.3 Systems of Inequalities An inequality and a system of inequalities can each have many solutions. A solution of a system of inequalities is a solution.
Numerical methods 1 An Introduction to Numerical Methods For Weather Prediction by Mariano Hortal office 122.
Differential equations. Many applications of mathematics involve two variables and a relation between them is required. This relation is often expressed.
1 Chapter 1 Introduction to Differential Equations 1.1 Introduction The mathematical formulation problems in engineering and science usually leads to equations.
Partial Differential Equations Introduction – Deng Li Discretization Methods –Chunfang Chen, Danny Thorne, Adam Zornes CS521 Feb.,7, 2006.
Non-Homogeneous Second Order Differential Equation.
Differential Equations Linear Equations with Variable Coefficients.
Differential Equations
2D Complex-Valued Eikonal Equation Peijia Liu Department of Mathematics The University of Texas at Austin.
Solving Partial Differential Equation Numerically Pertemuan 13 Matakuliah: S0262-Analisis Numerik Tahun: 2010.
Department of Mathematics Numerical Solutions to Partial Differential Equations Ch 12. Applied mathematics. Korea University.
EEE 431 Computational Methods in Electrodynamics Lecture 2 By Rasime Uyguroglu.
Differential Equations MTH 242 Lecture # 08 Dr. Manshoor Ahmed.
OBJECTIVES Students will able to Students will able to 1. define differential equation 1. define differential equation 2. identify types, order & degree.
Introduction to Differential Equations
Lesson 4-1 Solving linear system of equations by graphing
Partial Differential Equations and Applied Mathematics Seminar
Boundary-Value Problems in Rectangular Coordinates
Advanced Higher Mechanics
Scientific Computing Lab
A.S.T.C #516, Yonsei University
Science Building #254 Yonsei University
First order non linear pde’s
Partial Differential Equations and Applied Mathematics Seminar
Science Building, #225, Yonsei University
Partial Differential Equations and Applied Mathematics Seminar
Uniqueness Theorem vanishes on S vanishes in V
Chapter 2. Mathematical Expression of Conduction
Green’s functions/fundamental solutions
Introduction to Partial Differential Equations
Finite Difference Method
ME/AE 339 Computational Fluid Dynamics K. M. Isaac Topic2_PDE
Scientific Computing Lab
Non-linear simultaneous equations
Graphing systems of linear equations and inequalities
Linear Algebra Lecture 3.
Partial Differential Equations and Applied Mathematics Seminar
Brief introduction to Partial Differential Equations (PDEs)
Partial Differential Equations
Plan to talk for minutes MAX minutes of questions
PARTIAL DIFFERENTIAL EQUATIONS
Solving simultaneous linear and quadratic equations
Ordinary Differential Equations
Partial Differential Equations and Applied Mathematics Seminar
Second Order-Partial Differential Equations
Linear Algebra Lecture 7.
Physics 451/551 Theoretical Mechanics
Science Building #262 Yonsei University
Partial Differential Equations and Applied Mathematics Seminar
Grand Rounds Day, Date Day, Date Time a.m.⎯Time p.m.
Presentation transcript:

Partial Differential Equations and Applied Mathematics Seminar 연세대학교 응용해석 및 계산센터 세미나 Partial Differential Equations and Applied Mathematics Seminar Title Homogenization of elliptic and parabolic soft inclusions    Speaker 유민하 박사 Affiliation  NIMS Date Dec 9th, Fri., 5:00~ 6:00 Pm Location Science Building #225 Yonsei University Abstract In this talk, we consider periodic Soft inclusion problems of elliptic and parabolic linear equation of non-divergence form. Usually, it is called Soft inclusion problems to find effective conductivity of composites consisting of a medium with non-conducting grains. Mathematically, non-conducting grains are described by union of disjoint holes with periodicity epsilon. For each epsilon, the unique current density function (the solution of epsilon problem) u-epsilon exists for a given boundary data. We note that, at the boundary of grains, the Neumann data of u-epsilon vanishes.