A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions

A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions

The error in the trapezoidal rule quadrature formula can be attributed to discretization in the interior and non-periodicity at the boundary. Using a contour integral, we derive a unified bound for the combined error from both sources for analytic integrands. The bound gives the Euler–Maclaurin form...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Javed, M, Trefethen, L
Format:	Report
Udgivet:	Proceedings of the Royal Society A 2013

Lignende værker

The exponentially convergent trapezoidal rule
af: Trefethen, L, et al.
Udgivet: (2013)

The career of Richard C. Maclaurin : I - the early years
af: McLennan, Roy.
Udgivet: (2009)

Analytical approximate solution of Carleman's equation by using Maclaurin series
af: Yaghobifar, Mohammad, et al.
Udgivet: (2010)

Global Continuous Optimization with Error Bound and Fast Convergence
af: Maruyama, Yu, et al.
Udgivet: (2017)

Studies on divergent series and summability and the asymototic development of functions defined by Maclaurin series /
af: Ford, Walter B., 1874-
Udgivet: (1960)

New predictor corrector trapezoidal formulae for solving initial value problems/
af: 321522 Baharom Sanugi, et al.

Nonlinear Correction to the Euler Buckling Formula for Compressible Cylinders
af: Pascalis, R, et al.
Udgivet: (2010)

The Maclaurin buildings : a history of MIT's Main Campus and the people who built it
af: Christoff, David C
Udgivet: (2015)

Effect of Varying Geometrical Parameters of Trapezoidal Corrugated-Core Sandwich Structure
af: N. Z. M., Zaid, et al.
Udgivet: (2017)

ACCELERATED CONVERGENCE OF EULER SOLUTIONS USING TIME INCLINING
af: Dannenhoffer, J, et al.
Udgivet: (1990)

Approximation of the pth Roots of a Matrix by Using Trapezoid Rule
af: Sadeghi, Amir, et al.
Udgivet: (2012)

An Euler-Poincare formula for a depth zero Bernstein projector
af: Barbasch, D, et al.
Udgivet: (2019)

Rate of Convergence for Cardy’s Formula
af: Nachmias, Asaf, et al.
Udgivet: (2016)

Extension of Chebfun to periodic functions
af: Wright, G, et al.
Udgivet: (2015)

Affine Matching with Bounded Sensor Error: A Study of Geometric Hashing and Alignment
af: Grimson W. Eric L., et al.
Udgivet: (2004)

Counting Euler Tours in Undirected Bounded Treewidth Graphs
af: Balaji, N, et al.
Udgivet: (2015)

Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem
Udgivet: (2003)

Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces
af: Carrillo de la Plata, JA, et al.
Udgivet: (2018)

Exactness of quadrature formulas
af: Trefethen, LN
Udgivet: (2022)

On the stability of periodic 2D Euler-alpha flows
af: Pekarsky, S, et al.
Udgivet: (2000)

Successive melting of a phase change material bounded in a finned trapezoidal domain
af: Ahmad, Farooq, et al.
Udgivet: (2022)

New perturb and observe algorithm based on trapezoidal rule: uniform and partial shading conditions
af: Mahmod Mohammad Altwallbah, Neda, et al.
Udgivet: (2022)

Measure order of convergence without an exact solution, Euler vs Milstein scheme
af: Schmitz Abe, K, et al.
Udgivet: (2005)

Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions
af: Pascalis, R, et al.
Udgivet: (2013)

A unified linear convergence analysis of k-SVD
af: Xu, Zhiqiang, et al.
Udgivet: (2022)

Convergence of the 2-Point block backward differentiation formulas.
af: Ibrahim, Zarina Bibi, et al.
Udgivet: (2011)

How descriptive are GMRES convergence bounds?
af: Embree, M
Udgivet: (1999)

Kestabilan keratan web trapezoid /
af: 294107 Tan, Chin Keong
Udgivet: (1999)

A randomized trapezoidal quadrature
af: Wu, Y
Udgivet: (2021)

On the rate of convergence to optimality of the LPT rule
af: Frenk, Johannes Bartholomeus Gerardus., et al.
Udgivet: (2009)

BOUNDARY-CONDITIONS, FUSION RULES AND THE VERLINDE FORMULA
af: Cardy, J
Udgivet: (1989)

Strong convergence rates for Euler approximations to a class of stochastic path-dependent volatility models
af: Cozma, A, et al.
Udgivet: (2018)

Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$ L ∞
af: Rosenzweig, Matthew
Udgivet: (2022)

Unified communications : convergence of platforms and strategies of two software vendors
af: Hydari, Muhammad Zia
Udgivet: (2009)

Unified analytic formula for physical sputtering yield at normal ion incidence /
af: 421888 Janev, R. K., et al.
Udgivet: (2001)

Stability of barycentric interpolation formulas
af: Webb, M, et al.
Udgivet: (2011)

Unified approach to the geometric rectification of remotely sensed imagery/ [mikrofis]
af: 325662 Wong, Frank Hay-Chee
Udgivet: (1984)

On the response bounds of damaged Euler–Bernoulli beams with switching cracks under moving masses
af: Cicirello, A
Udgivet: (2019)

Unified error analysis of terrestrial inertial navigation systems.
af: Britting, Kenneth Robert
Udgivet: (2005)

The topology of uniform convergence on order-bounded sets /
af: 463259 Wong, Yau-Chuen
Udgivet: (1976)