Results 11 to 20 of about 1,452,737 (303)

Symmetric general linear methods [PDF]

BIT Numerical Mathematics, 2016
The article considers symmetric general linear methods, a class of numerical time integration methods which, like symmetric Runge--Kutta methods, are applicable to general time--reversible differential equations, not just those derived from separable second--order problems.
Butcher, J. C, Hill, A. T., Norton, T. J. T.   +2 more
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Order conditions for general linear methods [PDF]

Journal of Computational and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angelamaria Cardone, Zdzislaw Jackiewicz, James H. Verner, Bruno D. Welfert   +3 more
openaire   +4 more sources

General linear methods for linear DAEs [PDF]

, 2005
For linear differential-algebraic equations (DAEs) with properly stated leading terms the property of being numerically qualified guarantees that qualitative properties of DAE solutions are reflected by the numerical approximations. In this case BDF and Runge-Kutta methods integrate the inherent regular ODE.
Schulz, Steffen
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Order conditions for General Linear Nyström methods [PDF]

Numerical Algorithms, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele D'Ambrosio, Giuseppe De Martino, Beatrice Paternoster   +2 more
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Explicit general linear methods with a large stability region for Volterra integro-differential equations

Mathematical Modelling and Analysis, 2019
In this paper, we describe the construction of a class of methods with a large area of the stability region for solving Volterra integro-differential equations.
Hassan Mahdi, Gholamreza Hojjati, Ali Abdi   +2 more
doaj   +1 more source

Una aproximación numérica a los General Linear Methods (GLM) para la solución de problemas de la cinética química

Investigación e Innovación en Ingenierías, 2021
Objetivo: realizar un estudio comparativo entre las soluciones numéricas de sistemas de ecuaciones diferenciales ordinarias tipo Stiff obtenidas con el método General Linear Method (GLM) y dos solvers del software matemático MATLAB como ode45 y ode15s ...
Mayra Alejandra Vega Niño, Jeinny María Peralta Polo, Miguel Antonio Caro Candezano   +2 more
doaj   +1 more source

Permutation inference for the general linear model [PDF]

, 2014
Permutation methods can provide exact control of false positives and allow the use of non-standard statistics, making only weak assumptions about the data.
Winkler, Anderson, Ridgway, Gerard, Nichols, Thomas E, Smith, Stephen, Webster, Matthew A, Nichols, Thomas E., Smith, Stephen M, Smith, Stephen M., Ridgway, Gerard R, Winkler, Anderson M., Webster, Matthew A., Ridgway, Gerard R., Webster, MA, Nichols, TE   +13 more
core   +1 more source

Construction of efficient general linear methods for non-stiff differential systems

Mathematical Modelling and Analysis, 2012
This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region.
Michal Bra´s, Angelamaria Cardone
doaj   +1 more source

Implementation of explicit Nordsieck methods with inherent quadratic stability

Mathematical Modelling and Analysis, 2013
The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation issues
Michel Bras, Angelamaria Cardone, Raffaele D'Ambrosio   +2 more
doaj   +1 more source

Nordsieck methods with inherent quadratic stability

Mathematical Modelling and Analysis, 2011
We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable.
M. Braś
doaj   +1 more source