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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.
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Questions related to solving the advection-diffusion equation using numerical methods, including derivation and implementation of boundary conditions.
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A description of the specific steps needed to solve a particular problem in an unambiguous way, expressed in an abstract form.
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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.
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Often referred to as Algorithmic-Differentiation or AD -- a technique to automatically generate code that evaluates the derivative of a function. AD repeatedly applies the chain rule and classical rul…
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Referring to sparse matrices with concentrations of non-zero elements along a combination of diagonals, subdiagonals, and/or superdiagonals.
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A linearly independent set of elements of a vector space such that any element in that vector space can be expressed as a linear combination of the elements of the basis.
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Basic Linear Algebra Subprograms - A standard API library with vector-vector, matrix-vector, and matrix-matrix operations.
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For questions regarding the choice and/or appropriateness of conditions necessary to model a particular phenomenon with a partial differential equations.
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a general purpose programming language. Originally intended for implementing system software, C and its close relatives are the principle languages used in most modern operating systems. Due to i…
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A powerful object oriented programming language.
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a condition of stability of numerical discretization scheme for a time dependent PDE