A Class of Finite Difference Methods for Solving Inhomogeneous Damped Wave Equations

Issues 3-4 Volume 15

FAZEL HADADIFARD, SATBIR MALHI, AND ZHENGYI XIAO Abstract. In this paper, a class of finite difference numerical techniques is presented to solve the second-order linear inhomogeneous damped wave equation. The consistency, stability, and convergences of these numerical schemes are discussed. The results obtained are compared to the exact solution, ordinary explicit, implicit finite difference methods, […]

Toward a preconditioned scalable 3DVAR for assimilating Sea Surface Temperature collected into the Caspian Sea

Issues 1-2 Volume 12

R. Arcucciab1, L.Carracciuoloc and R.Toumid a: University of Naples Federico II, Naples, Italy b: Euro Mediterranean Center on Climate Change, Italy c: National Research Council, Naples, Italy d: Imperial College London, London, United Kingdom Received 1 February, 2017; accepted in revised form 03 April, 2018 Abstract: Data Assimilation (DA) is an uncertainty quanti cation technique

Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Boundary Value Problems, Mesh Selection, Conditioning Authors: Jeff R. Cash and Francesca Mazzia Pages: 81-90 In this paper we demonstrate how hybrid mesh selection strategies based on conditioning can be used in codes designed for the numerical solution of singularly perturbed boundary value problems. The new mesh selection strategies

Mathematical aspects of optimal layout problem of spent nuclear fuel containers on the storage site

Issues 3-4 Volume 15

Andrii Chugaia, Svitlana Alyokhina a,b, and Andrii Zhuravkab a Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10 Pozharskogo st., Kharkiv 61046, Ukraine, e-mail: alyokhina@ipmach.kharkov.ua b Kharkiv National University of Radioelectronics, 14 Nauky ave., Kharkiv 61166, Ukraine Abstract The paper is concerned to the development of an approach which allow

Stability and Conditioning in Numerical Analysis

Issues 1-2 Volume 01

Date of Online Publication: 26/08/2006 Keywords: Conditioning, stability, stiffness, dynamical systems, boundary value problems, ordinary differential equations, numerical linear algebra Authors: Felice Iavernaro, Francesca Mazzia and Donato Trigiante Pages: 91-112 The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All of them have in common the general concept of

An Adaptive Finite Element Formulation for the Solution of Second Order Obstacle Problems using Quadratic Lagrange Polynomials

Issues 3-4 Volume 09-10

S. Iqbala, A. R. Ansarib1, A. Javedc and A. M. Siddiquid aDepartment of Computer Science, COMSATS Institute of Information Technology, Sahiwal Campus, Pakistan. bCentre for Advance Studies in Engineering (CASE), 19-Attaturk Avenue, G-5/1, Islamabad, Pakistan. cDepartment of Mathematics & Natural Sciences, Gulf University for Science & Technology, P.O. Box 7207, Hawally 32093, Kuwait dDepartment of

Computational Technologies for Reliable Control of Global and Local Errors for Linear Elliptic Type Boundary Value Problems

Issues 3-4 Volume 02

Date of Online Publication: 27/10/2007 Keywords: a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging Authors: A. Hannukainen, S. Korotov Pages: 157-176 The paper is devoted to the problem of reliable control of accuracy of approximate solutions obtained

Energy-Preserving Variant of Collocation Methods

Issues 1-2 Volume 05

E. Hairer3 Universit�e de Gen`eve, Section de Math�ematiques, 2-4 rue du Li`evre, CH-1211 Gen`eve 4, Switzerland Received 15 October, 2009; accepted in revised form 21 March, 2010 Abstract: We propose a modification of collocation methods extending the ‘averaged vector field method’ to high order. These new integrators exactly preserve energy for Hamiltonian systems, are of

Convergence and implementation of a fixed-point iterative scheme for the numerical solution of fourth-order BVPs

Issues 3-4 Volume 15

S.A. Khuri1, I. Louhichi, A. Sayfy Department of Mathematics and Statistics, American University of Sharjah – UAE Received 14 January, 2019; accepted in revised form 26 January, 2021 Abstract: In this article, we study a fixed point iteration scheme that involves the Green’s function for the numerical solution of a larger class of fourth order

Using Low-Rank Ensemble Kalman Filters for Data Assimilation with High Dimensional Imperfect Models

Issues 1-2 Volume 02

Date of Online Publication: 14/04/2007 Keywords: Data assimilation. Kalman filtering. Low-rank Kalman filtering. Monte-Carlo methods Authors: I. Hoteit, G. Triantafyllou and G. Korres Pages: 67-78 Low-rank square-root Kalman filters were developed for the efficient estimation of the state of high dimensional dynamical systems. These filters avoid the huge computational burden of the Kalman filter by

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