Results 71 to 80 of about 494,879 (330)

Iterative Splitting Methods for Integrodifferential Equations: Theory and Applications

open access: yesJournal of Applied Mathematics, 2014
We present novel iterative splitting methods to solve integrodifferential equations. Such integrodifferential equations are applied, for example, in scattering problems of plasma simulations.
Jürgen Geiser
doaj   +1 more source

Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

open access: yesComputer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj   +1 more source

A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations

open access: yes, 2016
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
core  

High order operator splitting methods based on an integral deferred correction framework

open access: yes, 2014
Integral deferred correction (IDC) methods have been shown to be an efficient way to achieve arbitrary high order accuracy and possess good stability properties. In this paper, we construct high order operator splitting schemes using the IDC procedure to
Christlieb, Andrew J.   +2 more
core   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola   +12 more
wiley   +1 more source

Numerical Solution of Integral-Algebraic Equations with Weakly Singular Kernels by k−step Methods

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2015
In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam’s methods, product integration methods for the integral part and on extrapolation formulas for the main
M.V. Bulatov, O.S. Budnikova
doaj  

The Modified Degenerate Kernel Method for the Multi-Dimensional Fredholm Integral Equations of the Second Kind

open access: yesپژوهش‌های ریاضی, 2020
Introduction For the scientific study of a natural phenomenon it must be modeled. The resulting model is often expressed as a differential equation (DE), an integral equation (IE) or an integro-differential equation (IDE) or a system of these. Therefore,
Ahmad Molabahrami
doaj  

‎Multistep collocation method for nonlinear delay integral equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
‎The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method.
Parviz Darania
doaj  

Numerical Contour Integral Methods for Free-Boundary Partial Differential Equations Arising in American Volatility Options Pricing

open access: yesDiscrete Dynamics in Nature and Society, 2018
The aim of this paper is to study the numerical contour integral methods (NCIMs) for solving free-boundary partial differential equations (PDEs) from American volatility options pricing. Firstly, the governing free-boundary PDEs are modified as a unified
Yong Chen, Jianjun Ma
doaj   +1 more source

Stability Issues for Selected Stochastic Evolutionary Problems: A Review

open access: yesAxioms, 2018
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone   +3 more
doaj   +1 more source

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