symbolic algebra

Maple example: symbolic algebra equation and numerical solution

Maple example: symbolic algebra equation and numerical solution

Brehmsstrahlung in the field of the nuclei of a macroparticle (for beam modelling of electron beam lifetime in the HERA (electron-proton synchrotron particle collider)).

HERA particle collider beam dynamics: Maple symbolic worksheet example.

The attached worksheet was exported to PDF via LaTeX from a Maple V worksheet. It shows detailed symbolic calculations and numerical simulations for the electron beam of the HERA (electron-proton synchrotron particle collider)

Maple zone

The MapleTM mathematics system: for symbolic algebra, symbolic-driven numerics, data analysis, animation, and more.

While very familiar with many other symbolic algebra systems, I have most experience with the MapleTM. This Webel zone introduces MapleTM through some fun examples, and some detailed examples from real-world physics and engineering projects.

Webel Scientific IT Consultancy offers professional MapleTM symbolic algebra services: symbolic analysis, data analysis, symbolic-driven numerics, animation, scientific modelling, education and training.

Science zone

Dr Darren of Webel originally trained as a computational physicist and applied mathematician, performed research from 1988 to 1993 in radio astronomy and astrophysics, and worked as a scientific computing expert and particle accelerator physicist from 1993 to 1999, as well as working on numerous science and education projects after establishing the Webel IT Australia Scientific IT Consultancy in 2000. You can find out more about his science career at: Dr Darren Kelly's full-career Curriculum Vitae.

From Wikipedia: Computational Physics (Aug 2016):

Computational physics is the study and implementation of numerical analysis to solve problems in physics for which a quantitative theory already exists. Historically, computational physics was the first application of modern computers in science, and is now a subset of computational science.

It is sometimes regarded as a subdiscipline (or offshoot) of theoretical physics, but others consider it an intermediate branch between theoretical and experimental physics, a third way that supplements theory and experiment.


This zone features various (mostly archival and historical) science projects, many of which demonstrate applications of the model-based software engineering and systems engineering technologies promoted on this site and offered as Webel services.


HERA particle accelerator: electron Beam Loss Monitor lifetime disruption plots
Example of numerical integation and visualisation of a differential equation in the Maple symbolic algebra system
Maple 3d plot animation example
Maple example: symbolic algebra equation and numerical solution
HERA particle accelerator: custom data analysis application
CT scan slice: visualisation example: 1
CT scan slice: visualisation example: 2
MOST radiotelescope: Java3D animation: steering (9.8M)
Figure 2: A diagram of MOST with the numbering system used in this  thesis report (1988)
Figure 3: MOST radiotelescope: A diagram of the coordinate system used in the report (1988)
Figure 10: the MOST radiotelescope synthesised beam
Figure 1: MOST radiotelescope "skymap" from observation of a strong point source at field centre
Figure 11: Model: UML2 composite structure diagram of the monochromator assembly
Figure 09: Model: bunker shield assembly for the Platypus reflectometer as "wrapped block" class diagram.
Figure 10: Model: UML2 composite structure diagram for the monochromation beam stage of the neutron diffractometers of the OPAL NBIs.
Figure 12: Model: UML2 composite structure diagram of the monochromator stage assembly with motorised goniometer rotation, tilt, and translation stages, which are driven by encoded devices.
Figure 13: Model: wrapped block class diagram (software engineering view) for the entire monochromation beam ("logical") stage.


Contents of: Science zone

REDUCE

Keywords:
The content or the technology discussed here is HISTORICAL or ARCHIVAL

Used in the early 1990s to generate massive Jacobians in FORTRAN for finite-difference schema for computational gas dynamics:

Radiation hydrodynamics of early stages of type II supernovae (PhD thesis)

Syndicate content