Results 41 to 50 of about 2,724,334 (155)

A Stable Formulation for Wave‐Induced Fracture in Peridynamics

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The bond‐associated quadrature point formulation is a very accurate peridynamic formulation for elasticity, but modeling fracture by the traditional deletion of bonds can trigger severe numerical instabilities. These instabilities are most pronounced for wave‐induced fracture, where stress waves continue to propagate through already damaged ...
Kai Partmann, Manuel Dienst, Christian Wieners, Kerstin Weinberg   +3 more
wiley   +1 more source

Symbolic Method for Solving Nonlocal Boundary Value Problems for Systems of Ordinary Loaded Integro-Differential Equations

Mathematics
A symbolic method is presented for examining the solvability and constructing the exact solution to boundary value problems for systems of linear ordinary loaded differential equations and loaded integro-differential equations with nonlocal boundary ...
Efthimios Providas, Ioannis N. Parasidis, Jeyhun E. Musayev   +2 more
doaj   +1 more source

The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations

Abstract and Applied Analysis, 2012
The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
doaj   +1 more source

Partial Observation of Linear Systems With the Mori–Zwanzig Formalism

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
wiley   +1 more source

Distributed Control and the Lyapunov Characteristic Exponents in the Model of Infectious Diseases

Complexity, 2019
The Marchuk model of infectious diseases is considered. Distributed control to make convergence to stationary point faster is proposed. Medically, this means that treatment time can be essentially reduced.
M. Bershadsky, M. Chirkov, A. Domoshnitsky, S. Rusakov, I. Volinsky   +4 more
doaj   +1 more source

A method for solving nonlinear Volterra’s population growth model of noninteger order

Advances in Difference Equations, 2017
Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed.
D Baleanu, B Agheli, M Adabitabar Firozja, M Mohamed Al Qurashi   +3 more
doaj   +1 more source

Peridynamic Modelling of Process‐Dependent Material Strength in Additive Manufacturing

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Additive Manufacturing (AM) processes create complex, process‐dependent material properties during printing that cannot be measured in advance and are governed by parameters, such as tool path, temperature history and cooling conditions. A Peridynamics (PD) correspondence framework is presented for simulating the entire AM process chain ...
Christian Willberg, Jan‐Timo Hesse
wiley   +1 more source

Reducing the Possibility of Ruin by Maximizing the Survival Function for the Insurance Company’s Portfolio

Journal of Mathematics, 2022
In this paper, the intention was to reduce the possibility of ruin in the insurance company by maximizing its survival function. This paper uses a perturbed classical risk process as the basic model.
Masoud Komunte, Christian Kasumo, Verdiana Grace Masanja   +2 more
doaj   +1 more source

Four Decades of Research at the MADE Site and Beyond: Advancing the Understanding and Modeling of Solute Transport in Heterogeneous Media

Reviews of Geophysics, Volume 64, Issue 4, December 2026.
Abstract Spatial heterogeneity, manifested as strong variability in hydraulic conductivity (K) within geological formations, exerts a fundamental control on groundwater flow and solute transport. Because K can vary over multiple orders of magnitude in complex three‐dimensional patterns, predicting contaminant plume migration remains a long‐standing ...
Zhilin Guo, Maosheng Yin, Peiyao Dong, Yong Zhang, Kewei Chen, Graham Fogg, Brian Berkowitz, Marco Dentz, Chunmiao Zheng   +8 more
wiley   +1 more source

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]

, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core   +4 more sources