The Finite Volume Community Ocean Model (FVCOM) is a numerical model used for simulating oceanographic processes. It is specifically designed for studies of coastal and regional oceanic dynamics, utilizing a finite volume approach to discretize the equations governing fluid motion. FVCOM is distinctive in its ability to handle complex geometries and varying bathymetries typically found in coastal regions, estuaries, and rivers by employing an unstructured grid system.
The GME, or Global Model of the Deutscher Wetterdienst (DWD), is a numerical weather prediction model used by the German Weather Service. It is designed for global weather forecasting and is one of the primary tools for providing weather forecasts and climate predictions. The GME model incorporates various atmospheric parameters and utilizes complex mathematical equations to simulate the behavior of the atmosphere over time. It aims to provide accurate weather forecasts for both short-term and long-term periods.
The Global Environmental Multiscale Model (GEM) is a sophisticated numerical weather prediction and climate modeling system developed by Environment and Climate Change Canada. It is designed to simulate and predict various atmospheric phenomena at multiple spatial and temporal scales. The GEM can be used for a range of applications, including short-term weather forecasting, climate research, and environmental monitoring.
HIRLAM stands for HIgh-Resolution Limited Area Model. It is a numerical weather prediction model designed for short to medium-range weather forecasting. The model has been developed through a collaborative effort involving several European meteorological institutes, and it focuses on providing high-resolution forecasts for specific regions rather than global coverage.
JULES (Joint UK Land Environment Simulator) is a land surface model used primarily in climate and environmental research. It simulates the interactions between the land surface and the atmosphere, focusing on processes such as vegetation dynamics, carbon and water cycles, and energy exchanges. JULES can be coupled with climate models to assess how land surface changes affect weather patterns and climate, making it a valuable tool for studying climate change, land use, and ecosystem responses.
The MEMO (Modular Environmental Modeling System) model is a computational tool used to simulate wind flow and related environmental phenomena. It is often used in the context of modeling the transport and dispersion of pollutants in the atmosphere as well as wind-driven processes like those affecting ecosystems, urban planning, and renewable energy applications such as wind energy assessments.
The Princeton Ocean Model (POM) is a widely used numerical model for simulating ocean circulation and dynamics. Developed at Princeton University, it is designed to represent various physical processes in the ocean, such as tides, currents, temperature distribution, and salinity changes. ### Key Features of the Princeton Ocean Model: 1. **Three-Dimensional Structure**: POM is capable of simulating three-dimensional ocean circulation, which allows for a more accurate representation of ocean dynamics compared to two-dimensional models.
In computer modeling, the term "model year" is not a standardized term like it is in the automotive industry, where it refers to the specific year a vehicle model is produced or sold. However, in the context of computational models, it can refer to several different concepts depending on the context: 1. **Versioning of Models**: In software development, including model building and simulation, "model year" could refer to the release version of a model.
The Navy Operational Global Atmospheric Prediction System (NOGAPS) is a comprehensive atmospheric numerical weather prediction model developed by the United States Navy. It is used for forecasting weather and environmental conditions over global scales, particularly for naval operations. Here are some key aspects of NOGAPS: 1. **Purpose**: NOGAPS is designed to provide accurate weather predictions to support military missions, including aviation, maritime operations, and land-based activities.
Sea, Lake, and Overland Surge from Hurricanes (SLOSH) is a numerical model developed by the National Oceanic and Atmospheric Administration (NOAA) to predict storm surge during hurricanes and other significant storm events. The model takes into account various factors, including the intensity and trajectory of the hurricane, the geometry of the coastline, and the bathymetry of the ocean floor.
The United Kingdom Chemistry and Aerosols (UKCA) model is a component of the UK Earth System Model (UKESM) and is primarily designed to simulate atmospheric chemistry and aerosol dynamics. It is used to understand the interactions between atmospheric constituents, including greenhouse gases, aerosols, and other pollutants, as well as their impacts on climate, weather, and air quality.
Upper-atmospheric models are scientific representations used to study and predict the behavior of the upper layers of the Earth's atmosphere, which extend from around 10 kilometers (about 33,000 feet) above sea level to the boundary of space at around 100 kilometers (about 62 miles). This region includes the stratosphere, mesosphere, thermosphere, and exosphere.
Chebyshev iteration, also known as Chebyshev acceleration or Chebyshev polynomial iteration, is a numerical method used to accelerate the convergence of a sequence generated by an iterative process, particularly in the context of solving linear systems or eigenvalue problems. The method leverages Chebyshev polynomials, which possess properties that can be used to approximate functions and enhance convergence rates. The idea is to apply polynomial interpolation to the iterative process, allowing for improved convergence through the use of these polynomials.
Backfitting is an iterative algorithm used primarily in the context of fitting additive models, particularly generalized additive models (GAMs). An additive model assumes that the response variable can be expressed as a sum of smooth functions of predictor variables. The backfitting algorithm helps to estimate the smooth functions in such models.
The Biconjugate Gradient Method (BiCG) is an iterative numerical algorithm used to solve systems of linear equations, particularly those that are large and sparse, where traditional methods (such as direct solvers) may be inefficient or infeasible. It is particularly useful for non-symmetric and indefinite matrices.
The Biconjugate Gradient Stabilized (BiCGStab) method is an iterative algorithm used for solving large and sparse systems of linear equations, particularly those that arise in numerical simulations related to partial differential equations and other scientific computations. It is an extension of the conjugate gradient method and is designed to handle situations where the coefficient matrix may be non-symmetric or non-positive definite.
In-place matrix transposition is an algorithmic technique used to transpose a matrix without requiring any additional space for a new matrix. Transposing a matrix involves flipping it over its diagonal, which means that the rows become columns and the columns become rows. ### Characteristics of In-Place Matrix Transposition: 1. **Space Efficiency**: This technique is efficient in terms of memory usage because it does not allocate extra space proportional to the size of the matrix. Instead, it modifies the original matrix directly.
The Conjugate Gradient (CG) method is an iterative algorithm primarily used for solving systems of linear equations whose coefficient matrix is symmetric and positive-definite. It is particularly effective for large-scale problems, where direct methods (like Gaussian elimination) can be computationally expensive or infeasible due to memory requirements. ### Key Features of the Conjugate Gradient Method: 1. **Iteration**: The CG method generates a sequence of approximations to the solution.
EISPACK is a collection of software routines used for performing numerical linear algebra operations, particularly focusing on eigenvalue problems. It was developed in the 1970s at Argonne National Laboratory and is designed for solving problems related to finding eigenvalues and eigenvectors of matrices. The EISPACK package provides algorithms for various types of matrices (real, complex, banded, etc.
The Method of Four Russians is a computational technique used primarily in the fields of computer science and combinatorial optimization. It was introduced to improve the efficiency of dynamic programming algorithms, particularly for problems that can be broken down into overlapping subproblems, such as string matching, alignment, or various optimization problems. The main idea behind the Method of Four Russians is to precompute certain values to reduce the number of calculations needed during the dynamic programming phase.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact