A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question.
Questions related to solving the advection-diffusion equation using numerical methods, including derivation and implementation of boundary conditions.
A partial differential equation that describes diffusion phenomena.
An approach to solving systems of equations by projecting the problem from a fine scale representation onto a coarser one. A coarse representation generally has fewer unknowns, making it faster to so…
A popular krylov subspace method for solving linear systems of equations, particularly those that exhibit symmetric positive definiteness.
A method of finding nearly-optimal solutions to a problem. Generally, this terminology is applied to algorithms and heuristics for solving NP-Hard problems in computer science.
Graphical Processing Unit - a specialized, relatively inexpensive hardware unit built for fast graphical computations and highly data-parallel scientific computations.
Decomposition of a matrix into a product of matrices with special properties. Common matrix factorizations include LU, QR, SVD, and Cholesky.
For questions related to the collection, processing and interpretation of pixel data from imaging systems.
A field of combinatorics relating to the study of vertices and the edges that connect them
the process of measuring and establishing a relationship between a dependent variable and one or more independent variables.
The branch of chemistry dealing with the use of mathematical models to solve problems in chemistry.
Issues related to the representation of numerical quantities in a finite representation in a given base differing from their exact mathematical value.
To move in some direction (as a fluid does in a pipe). Often contrasted with diffusion, which is a spreading out without necessarily having any movement of the field as a whole.
Basic Linear Algebra Subprograms - A standard API library with vector-vector, matrix-vector, and matrix-matrix operations.
Studies the behavior of solid materials, and deformation under the action of forces
the process of evaluating data using analytical and logical reasoning to examine each component of the data provided.
Referring to Krylov Subspaces and the methods of solutions to linear systems of equations which exploit these spaces.
a decomposition (factorization) of rectangular real or complex matrix into the product of a unitary rotation matrix, a diagonal scaling matrix, and a second unita…
For questions regarding the numerical treatment of processes whose behaviors are determined by both deterministic (predictable) and non-deterministic (random) actions.
a branch of mathematics. Geometry studies the spatial relationships and forms of objects, as well as other relationships and forms, similar to the spatial in its structure.
Questions on the algorithms for and uses of (pseudo)random number generators in scientific computing.
timestepping methods that use an inversion at every timestep. This allows for much better stability properties than explicit methods, though it comes with a serious speed penalty …