Mathematical Physics Institute at Indonesia University of Education

Mathematical Physics Institute at Indonesia University of Education
MPI at UPI Bandung

Pusat Penelitian dan Pengembangan Matematika Fisika untuk Pendidikan

Web ini Kami Persembahkan untuk Ibunda Dra. Roswati Mudjiarto, M.Pd.
atas pengabdiannya terhadap dunia Pendidikan di Indonesia

"Selamat Milad Bunda Kami Semua"

Visi MPI at UPI

"Memasyarakatkan Matematika Fisika dalam dunia Pendidikan"

Bringing Mathematical Physics for Better Future

Fisika matematis adalah cabang ilmu yang mempelajari "penerapan matematika untuk menyelesaikan persoalan fisika dan pengembangan metode matematis yang cocok untuk penerapan tersebut, serta formulasi teori fisika". Ilmu ini dapat dianggap sebagai penunjang fisika teoritis dan fisika komputasi.

Pranala luar

• (en) Communications in Mathematical Physics
• (en) Journal of Mathematical Physics
• (en) Mathematical Physics Electronic Journal
• (en) International Association of Mathematical Physics
• (en) Erwin Schrödinger International Institute for Mathematical Physics
• (en) Linear Mathematical Physics Equations: Exact Solutions - from EqWorld
• (en) Mathematical Physics Equations: Index - from EqWorld
• (en) Nonlinear Mathematical Physics Equations: Exact Solutions - from EqWorld
• (en) Nonlinear Mathematical Physics Equations: Methods - from EqWorld

Algebraic Equations
Ordinary DEs
Systems of ODEs
First-Order PDEs
Linear PDEs
Nonlinear PDEs
Systems of PDEs
Integral Equations
Functional Equations
Equation Index
Equation Archive
Basic Handbooks
Interesting Papers

Methods

Ordinary DEs
Partial DEs
Integral Equations
Functional Equations

Auxiliary Sections

Integrals
Special Functions
Integral Transforms

Math Forums

EqWorld Forum
Other Forums

Software

Maple
Mathematica
MATLAB
Others

Education

Ordinary DEs
Partial DEs
Integral Equations
Functional Equations
Mathematicians
Math Sites for Students

EqLibrary

Books
Journals

About This Site

Features
Editorial Board
Statistics
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For Authors

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Information

Mathematical Sites
Mathematical Books
Errata in Handbooks
Online Shops
Publishers
Journals
Conferences
Ask a Math Expert

Pastime

Math Humor and Jokes
Math Puzzles & Games

Mathematical Physics Equations

1. anisotropic diffusion equation
2. anisotropic heat equation
3. biharmonic equation, homogeneous
4. biharmonic equation, nonhomogeneous
5. boundary layer equation
6. boundary layer equation, with pressure gradient
7. Boussinesq equation
8. Burgers equation
9. diffusion equation
10. diffusion equation, linear nonhomogeneous
11. diffusion equation, linear with axial symmetry
12. diffusion equation, linear with central symmetry
13. diffusion equation, nonlinear
14. diffusion equation, nonlinear, anisotropic
15. diffusion equation, nonlinear general
16. diffusion equation, nonlinear general, with volume reaction
17. diffusion equation, stationary with a nonlinear source
18. diffusion equation for inhomogeneous anisotropic media with volume reaction (i)
19. diffusion equation for inhomogeneous anisotropic media with volume reaction (ii)
20. diffusion equation for inhomogeneous anisotropic media with volume reaction (iii)
21. diffusion equations, linear
22. equation of motion of viscous fluid
23. equation of steady transonic gas flow
24. equation of transverse vibration of elastic rods
25. equation of vibration of a gas with central symmetry
26. elliptic equations, linear
27. elliptic equations, nonlinear
28. Fisher equation
29. FitzHugh-Nagumo equation
30. heat equation, linear homogeneous
31. heat equation, linear nonhomogeneous
32. heat equation, linear with axial symmetry
33. heat equation, linear with central symmetry
34. heat equation, nonlinear, anisotropic
35. heat equation, nonlinear general
36. heat equation, nonlinear general, with a source
37. heat equation, stationary with a nonlinear source
38. heat equation for inhomogeneous anisotropic media with a source (i)
39. heat equation for inhomogeneous anisotropic media with a source (ii)
40. heat equation for inhomogeneous anisotropic media with a source (iii)
41. heat equation with a power-law nonlinearity
42. heat equation with a exponential nonlinearity
43. heat equations, linear
44. Helmholtz equation
45. hydrodynamic boundary layer equation
46. hydrodynamic boundary layer equation, with pressure gradient
47. hyperbolic equations, linear
48. hyperbolic equations, nonlinear
49. Khokhlov-Zabolotskaya equation
50. Klein-Gordon equation
51. Klein-Gordon equation, linear homogeneous
52. Klein-Gordon equation, linear nonhomogeneous
53. Klein-Gordon equation, nonlinear
54. Korteweg-de Vries equation
55. Korteweg-de Vries equation, cylindrical
56. Korteweg-de Vries equation, generalized
57. Korteweg-de Vries equation, modified
58. Laplace equation
59. mathematical biology systems
60. mathematical physics equations, first order
61. mathematical physics equations, education
62. mathematical physics equations, linear
63. mathematical physics equations, methods
64. mathematical physics equations, nonlinear
65. mathematical physics equations, systems
66. Monge-Ampere equation (Monge-Ampère equation), homogeneous
67. Monge-Ampere equation (Monge-Ampère equation), nonhomogeneous (i)
68. Monge-Ampere equation (Monge-Ampère equation), nonhomogeneous (ii)
69. Newell-Whitehead equation
70. Navier-Stokes equations
71. nonlinear systems of two elliptic equations
72. nonlinear systems of two hyperbolic equations
73. nonlinear systems of two parabolic equations
74. parabolic equations, linear
75. parabolic equations, nonlinear
76. Poisson equation
77. reaction-diffusion systems, nonlinear
78. Schrodinger equation (Schrödinger equation), linear
79. Schrodinger equation (Schrödinger equation) with a cubic nonlinearity
80. Schrodinger equation (Schrödinger equation) with a power-law nonlinearity
81. Schrodinger equation (Schrödinger equation), nonlinear of a general form
82. sine-Gordon equation
83. sinh-Gordon equation
84. stationary heat equation with a nonlinear source
85. systems of general form, linear and nonlinear
86. telegraph equation
87. Tricomi equation
88. wave equation, linear homogeneous
89. wave equation, linear nonhomogeneous
90. wave equation, linear with axial symmetry
91. wave equation, nonlinear (encountered in gas dynamics)
92. wave equations, linear
93. wave equations, nonlinear

Software

• Mathematica: A powerful symbolic computation system by Wolfram Research
  • Mathematica online documentation
  • Online Mathematica companion for differential equations
  • Books on solution of differential equations with Mathematica
• Maple: An alternative symbolic computation system by Waterloo Maple, Inc.
  • Maple applications
  • Solution of ordinary differential equations: 35 Maple lessons for undergraduate students by Prof. Douglas Meade of the University of South Carolina
  • Solution of partial differential equations: 40 Maple lessons by Prof. Jim Herod, Ret.
  • Books on solution of differential equations with Maple
• MATLAB: A popular system for numerical solution of differential equations and data visualization by The MathWorks, Inc.
  • MATLAB Central
  • ODE Software for MATLAB
  • Books on MATLAB
• The DOE ACTS Collection: The Advanced CompuTational Software (ACTS) Collection is a set of software tools for computation sciences.
  • The ACTS Collection: 2-page flyer
  • Short Course on the ACTS Collection
  • Tool Descriptions
• List of Computer Algebra Systems, from Wikipedia, the free encyclopedia
• The REDUCE Computer Algebra System
• Maxima, a free version of the computer algebra system Macsyma for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, and others.
• MathCad, a Computer Algebra System
• CONVODE: A package for analytic solution of differential equations. Can be used to obtain solutions via e-mail.
• VODE_F90 Ordinary Differential Equation Solver: The source code and other downloadable materials.
• Guide to Available Mathematical Software (GAMS): A cross-index and virtual repository of mathematical and statistical software components of use in computational science and engineering
  • List of topics in mathematical software
  • Ordinary differential, partial differential, and integral equations software
  • Hyperbolic partial differential equations software
• Dictionary of Algorithms and Data Structures (NIST): The dictionary of algorithms, algorithmic techniques, data structures, archetypical problems, and related definitions
• FOLDOC - Computing Dictionary: The free on-line dictionary of computing is a searchable dictionary of terms from computing and related fields
• Numerical Solutions: A library of mathematical programs
• Stat/Math Center: Numerical Computing Resources on the Internet
• Netlib: A collection of mathematical software, papers, and databases
  • NA-Net: A system developed to serve the community of numerical analysts and other researchers
  • NA Digest: A collection of articles on topics related to numerical analysis and those who practice it
• Fortran Library, Free Software/Patches
• DESSolver v1.7: Java-Applet: Ordinary Differential Equation System Solver
• Math Forum, Software for Differential Equations
• Software - Differential Equations: General ressources and methods for ODEs and PDEs
• Scientific Computing World: Software reviews (Partial Differential Equations)
• Mathcom: Partial Differential Equations and Finite Element Modeling
• MGNet: Free Software
• CFD codes list: Free Software
• Computer Handbook of ODEs: An on-line Computer-Handbook of methods for solving Ordinary Differential Equations
• UW-L Math Calculator, Calculus, Differential Equations, Numerical Methods, Statistics, and Others
  • Differential Equations
  • Numerical Methods
• mor4ansys: A model order reduction for ANSYS to speed up transient and harmonic simulation for a system of ODEs obtained by the finite element method
• Phaser Scientific Software: A Universal Simulator For Dynamical Systems

General directories where mathematical software resources can be found

• Google: Software
• Yahoo: Software
• FSF/UNESCO Free Software Directory
• Wikipedia: List of Open Source Software Packages

See also:

• Wolfram Functions Site, more than 87,000 formulas used by physicists, mathematicians, computer scientists, and engineers; the compilation from Wolfram Research maker of the software package Mathematica, also features more than 10,000 graphs and animations of the functions.
• Statistics Online Computational Resources: interactive distributions, statistical analysis, virtual probability-related experiments and demonstrations, computer games, and others.
• The R Project for Statistical Computing, a free statistics program from nonlinear modeling to time-series analysis and include many graphing options.
• Computer History Museum: The world's largest and most significant history museum for preserving and presenting the computing revolution and its impact on the human experience.
• The Virtual Museum of Computing (VMoC): an eclectic collection of World Wide Web hyperlinks connected with the history of computing and on-line computer-based exhibits available both locally and around the world
• EEVL: Internet Guide to Engineering, Mathematics and Computing, cross-search 20 databases in engineering, maths and computing.
• Wavelet Tutorial, the tutorial explains how wavelet analysis works and delineates its advantage--superior resolution--over other methods of signal analysis, such as the Fourier transform.
• TOP500: Supercomputer sites
• The ACM Portal: the Association for Computing Machinery
  • The ACM Digital Library
  • The Guide to Computing Literature
• Scilab: A Free Scientific Software Package
• The deal.II: Finite Element Differential Equations Analysis Library
• CFD Resources Online: Software, Modeling and Numerics, etc.
  • Software: Fluid Dynamics, General Numerical Software and Others
• Free Statistical Software
• Free Software: download free software packages for Scientific-Engineering Purposes
• Ordinary Differential Equations - Finite Series Solutions
• Centre for Experimental and Constructive Mathematics: Pi and other constants