MathAlgoDB - Algorithm Knowledge Graph

Algorithm

The main building blocks of the graph.

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Software

Software packages that implement algorithms.

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Algorithmic Task

Overview of all algorithmic tasks in the graph.

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Benchmark

Problems for testing, evaluating and comparing numerical algorithms.

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Publication

Publications with foundations, theoretical or numerical results on the performance of algorithms.

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Computational Task

A specific computational tasks associated with a mathematical model. Typically, various tasks differ from each other by the choice of given quantities (input), unknown quantities (output), parameters or constants as well as boundary conditions, inital conditions and/or final conditions.

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Mathematical Formulation

Typically, a mathematical formulation is based on equations (general construct indicating equality of quantities) or on inequalities (non-equal relations between quantities), or a logic quantifier

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Mathematical Model

A mathematical model for describing a part of the reality by means of abstraction and simplifying assumptions. The aim of modeling is to make a particular part or feature of the world easier to simulate, interpret and/or optimize based on existing knowledge.

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Publication

A scientific publication

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Quantity

A quantity is a property of a system that can be measured or obtained from calculation/simulation. Can be a scalar, a vector, a matrix or a higher-order tensor. The overarching, abstract quantity in the QuantityKind class should be referenced if possible/applicable.

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Quantity Kind

The kind of quantity, e.g. the abstract, generalized concept of a quantity. Typically, it could be chosen from an established, controlled vocabulary of quantityKinds, such as QUDT, IEC, .... Note that the kind of a quantity cannot be generalized by another (kind of a) quantity.

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Research Field

A field of research (or academic discipline), e.g. Arts & Humanities, Life Sciences & Biomedicine, Physical & Natural Sciences or Engineering.

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Research Problem

A research problem (or research question) to be investigated, typically from a scientific or engineering application, i.e. a specific issue or gap in existing knowledge that you aim to address in your research.

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