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searching for Truncation error (numerical integration) 9 found (15 total)

alternate case: truncation error (numerical integration)

Euler method (4,955 words) [view diff] no match in snippet view article find links to article

a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta

Adaptive step size (1,638 words) [view diff] no match in snippet view article find links to article

ordinary differential equations (including the special case of numerical integration) in order to control the errors of the method and to ensure stability

Validated numerics (1,339 words) [view diff] no match in snippet view article find links to article

is numerics including mathematically strict error (rounding error, truncation error, discretization error) evaluation, and it is one field of numerical

Finite difference method (3,573 words) [view diff] no match in snippet view article find links to article

general interest is the local truncation error of a method. Typically expressed using Big-O notation, local truncation error refers to the error from a single

Rate of convergence (2,716 words) [view diff] no match in snippet view article find links to article

truncation error (GTE), in that it represents a sum of errors accumulated over all n {\displaystyle n} iterations, as opposed to a local truncation error

Numerical analysis (3,877 words) [view diff] no match in snippet view article find links to article

ten iterations, the calculated root is roughly 1.99. Therefore, the truncation error is roughly 0.01. Once an error is generated, it propagates through

Linear multistep method (4,865 words) [view diff] no match in snippet view article find links to article

consistent if the local truncation error goes to zero faster than the step size h as h goes to zero, where the local truncation error is defined to be the

List of Runge–Kutta methods (5,073 words) [view diff] no match in snippet view article find links to article

&1/8&3/8&3/8&1/8\\\end{array}}} This fourth order method has minimum truncation error. 0 0 0 0 0 .4 .4 0 0 0 .45573725 .29697761 .15875964 0 0 1 .21810040

Smoothed-particle hydrodynamics (9,777 words) [view diff] no match in snippet view article find links to article

hdl:2324/4476056. S2CID 121935150. N.J. Quinlan; M. Basa; M. Lastiwka (2006). "Truncation error in mesh-free particle methods" (PDF). International Journal for Numerical