What is Our Goal?

To educate master students, .. at a high level in the field of Applied Mathematics and Nonlinear Phenomena (at the end a certificate will be handed over when the results are good).

To select (in 2015 at most 5) excellent master students and lecturers to do a 4 years PHD program at the TU-Delft in The Netherlands in a so-called sandwich program. Scholarships are provided by the Indonesian government or universities (and some additional financial support from the TU Delft can be provided when necessary).

About Us

This programme is in collaboration between Sriwijaya University with the Research Consortium Indonesia-TUDelft The Netherlands in Applied Mathematics and Nonlinear Dynamics.

Audience

This is a master level course and intended for master or PhD students in Mathematics, Physics, or researchers in related fields.

2017
22 Aug - 02 Sept

Palembang
Indonesia

150
Tickets

02
Lecturers

Tema seminar : Penomena Non Linier dan pemodelan matematika.

Keynote Speaker

Prof. Dr. Ir. W.T. Van Horssen

Title: On the applicablity of perturbation methods in the study of vibrations of axially moving continua

Prof Zulkardi

Title: Modelling in Realistic Mathematics Education (PMRI)

Kees Lemmens

Title: On the new formula manipulation program Maxima

Workshop On Partial Differential Equations and Modelling

Lecturers

Prof. Dr. Ir. W.T. Van Horssen

Applied Mathematics - TU Delft

Dr. Darmawijoyo

Applied Mathematics - Sriwijaya University

Kees Lemmens

Mathematical Physics and Numerical Analysis - TU Delft

Timeline

Batas Akhir Pengiriman Artikel Seminar (Artikel Lengkap)
Batas Akhir Registrasi dengan mengirimkan bukti bayar dari bank
Seminar
Workshop

Submit Your Paper

Submit

Syllabus

Subtopic

1.1. Introduction
1.2. Derivation of the Conduction of Heat in a One-Dimensional Rod
1.3. Boundary Conditions
1.4. Equilibrium Temperature Distribution
1.5. Derivation of the Heat Equation in Two or Three Dimensions

Subtopic

2.1. Introduction
2.2. Linearity
2.3. Heat Equation with Zero Temperature at Finite Ends
2.4. Worked Examples with the Heat Equation
2.5. Laplace’s Equation: Solution and Qualitative Properties

Subtopic

3.1. Introduction
3.2. Statement of Convergence Theorem
3.3. Fouries Cosine and Sine Series
3.4. Term by Term Differentiation of Fourier Series
3.5. Term by Term Integration of Fourier Series
3.6. Complex Form of Fouries Series

Subtopic

4.1. Introduction
4.2. Derivation of a Vertically Vibrating String
4.3. Boundary Conditions
4.4. Vibrating String with Fixed Ends
4.5. Vibrating Membrance Reflection and Refraction of Electromagnetic

Subtopic

5.1. Introduction
5.2. Problem Examples
5.3. Sturm-Liouville Eigenvalue Problems
5.4. Wroked Examples
5.5. Self-Adjoint Operators and Sturm-Liouville Eigenvalue Problems
5.6. Rayleigh Qoutient
5.7. Boundary Conditions
5.8. Large Eigenvalues
5.9. Approximation Properties

Subtopic

6.1. Introduction
6.2. Separation of the Time Variable
6.3. Vibrating Rectangular Membrane
6.4. Statements and Illustrations of Theorems for the Eigenvalue Problem ∇^2 ϕ+λϕ=0
6.5. Green’s Formula, Self-Adjoint Operators, and Multidimensional Eigenvalue Problems
6.6. Rayleigh Quotient and Laplace’s Equation
6.7. Vibrating Circular Membrance and Bessel Functions
6.8. Laplace’s Equation in a Circular Cylinder
6.9. Spherical Problems and Legendre Polynomials

Subtopic

7.1. Introduction
7.2. Heat Flow with Sources and Nonhomogeneous Boundary Conditions
7.3. Method of Eigenfunction Expansion with Homogeneous Boundary Conditions
7.4. Method of Eigenfunction Expansion Using Green’s Formula
7.5. Forced Vibrating Membrances and Resonance
7.6. Poison’s Equation

Subtopic

8.1. Introduction
8.2. One-Dimention Heat Equation
8.3. Green’s Functions for Boundary Value Problems for Ordinary Differential Eqautions
8.4. Fredholm Alternative and Generalized Green’s Functions
8.5. Green’s Functions for Poison’s Equation
8.6. Perturbed Eigenvalue Problems

Subtopic

9.1. Introduction
9.2. Heat Equation on a Infinite Domain
9.3. Fourier Transform Pair
9.4. Fourier Transform and the Head Equation
9.5. Fourier sine and Cosine Transform
9.6. Worked Examples Using Transforms
9.7. Scattering and Inverse Scattering

Subtopic

10.1. Introduction
10.2. Green’s Function s for the Wave Equation
10.3. Green’s Function for the Heat Equation

Subtopic

11.1. Introduction
11.2. Characteristics for First-Order Wave Equations
11.3. Method of Characteristics for the One-Dimensional Wave Equation
11.4. Semi-Infinite Strings and Reflections
11.5. Method of Characteristics for Quasilinear Partial Differential Equations
11.6. First-Order Nonlinear Partial Differential Equations

Subtopic

12.1. Introduction
12.2. Properties of the Laplace Transform
12.3. Green’s Functions for Initial Value Problems for Ordinary Differential Equations
12.4. A Signal Problem for the Wae Equation
12.5. A Signal Problem for a Vibrating String of Finite Length
12.6. The Wave Equation and its Green’s Function
12.7. Inversion of Laplace Transform Using Contour Integral in the Complex Plane
12.8. Solving the Wave Equation Using Laplace Transform

 Photos

 Contact



Jl. Padang Selasa No.524, Bukit Lama Ilir Barat I Palembang, Sumatera Selatan

+62 81367668484
knmpm2017(@)gmail.com darmawijoyo@ilkom.unsri.ac.id