validated numerics for dynamical systems. JuliaIntervals on GitHub (Library made by Julia) Boost Safe Numerics - C++ header only library of validated...

emotions). Forecast verification, validating and verifying prognostic output from a numerical model Regression validation, in statistics, determining whether...

linearization method Numerical differentiation Numerical Recipes Probabilistic numerics Symbolic-numeric computation Validated numerics "Photograph, illustration...

\leq \,\epsilon .} The evaluation of forward errors is desired in validated numerics. Backward error analysis involves the analysis of the approximation...

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations...

retrieved 2011-03-05 Today, numerical analysis includes numerical linear algebra, numerical integration, and validated numerics as subfields. Hager, G.,...

traditional engineering methods. Numerical methods used in scientific computation, for example numerical linear algebra and numerical solution of partial differential...

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations...

respect to some chosen notation for integers) ... this limitation (to numerical functions) results in no loss of generality", (Rogers 1987:1). "An algorithm...

software is software used to model, analyze or calculate numeric, symbolic or geometric data. Numerical analysis and symbolic computation had been in most important...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

field are not constrained by internal mechanisms, then they should be validated to ensure that the referencing table always refers to a row in the referenced...

Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which...

for the purposes of making calculations easier by using approximations. Numerical analysis provides an important example. The history of discrete mathematics...

mathematical proofs is by means of so-called validated numerics or rigorous numerics. This means computing numerically yet with mathematical rigour. One uses...

addresses computability issues, algorithm development, verification, and validated numerics for applications in uncertainty processing, data processing, intelligent...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

gravitation on the basis of a single, and at that time very approximate, numerical coincidence." Wigner's second example comes from quantum mechanics: Max...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

Richard Hamming won the Turing Award in 1968 for his work at Bell Labs in numerical methods, automatic coding systems, and error-detecting and error-correcting...

decisions based on assigning probabilities to various factors and assigning numerical consequences to the outcome. There are three branches of decision theory:...

first use of the term "computational geometry" in this sense by 1975. Numerical computational geometry, also called machine geometry, computer-aided geometric...

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

by the advent of modern computers. It has become practical to obtain numerical non-perturbative solutions for certain problems, using methods such as...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

differential equations Numerical methods for partial differential equations Validated numerics Variational calculus Probability theory Distributions (random variables)...

Chebyshev approximation is the basis for Clenshaw–Curtis quadrature, a numerical integration technique. The Remez algorithm (sometimes spelled Remes) is...