INDEX

A-stability

Abel

Niels Henrik

absolute error

acceleration

accuracy

Adams–Bashforth–Moulton method

Adams–Bashforth method

Adams–Moulton method

Adams

John Couch

adaptive ODE scheme

adaptive solvers

Aitken extrapolation

Aitken

Alexander Craig

Algol

approximate equality

approximation error

associative law of arithmetic

asymptotic order notation

Atkinson

Kendall

B-splines

backsolve

backward error analysis

backward Euler method

backward solution

banded systems

Bashforth

Francis

BASIC

basis recombination

BDF (backward difference formula)

Bernoulli

Johann

big O notation

bisection

bisection method

convergence and error

derivation

disadvantages of

pseudocode

bits

boundary bordering

boundary data

boundary value problem (BVP)

definition

shooting methods

simple difference methods

spline solution

boundary value problems

Boyer

Carl

Brent’s algorithm

Brent’s method

Brent–Dekker algorithm

Brent-Dekker algorithm

bytes

C

C++

calculus

extreme value theorems

mean value theorems

Taylor’s Theorem

Cauchy form of Taylor remainder

Cavalieri

Bonaventura

characteristic polynomial

Chebyshev least squares approximation

Chebyshev nodes

Chebyshev polynomials

Chebyshev

Pafnuty Lvovich

Cholesky factorization

Cholesky Theorem

Cholesky

André-Louis

chopping

chord method (root finding)

Chun–Neta method

cloud effect

collocation

collocation points

companion matrix

complete pivoting

complete spline

composite trapezoid rule

computational mathematics

computer arithmetic

computer languages

condition number

conditioning ...

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