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A Modified Convective Formulation in Navier–Stokes Simulations
For the discretization of the convective term in the Navier–Stokes equations, the commonly used convective formulation (CONV) does not preserve...
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Motif Finding Algorithms: A Performance Comparison
Network motifs are subgraphs of a network that occur more frequently than expected, according to some reasonable null model. They represent building...
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An improved spectral conjugate gradient projection method for monotone nonlinear equations with application
In this paper, we propose an enhanced spectral conjugate gradient (CG) projection method for solving monotone nonlinear equations with application in...
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A hybrid grey wolf optimizer for engineering design problems
Grey wolf optimizer (GWO) is one of the most popular metaheuristics, and it has been presented as highly competitive with other comparison methods....
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Limit Cycles in Discontinuous Planar Piecewise Differential Systems with Multiple Nonlinear Switching Curves
In this paper, we investigate the maximum number of limit cycles that can bifurcate from the periodic annulus of the linear center for discontinuous...
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Exponentially fitted methods with a local energy conservation law
A new exponentially fitted version of the discrete variational derivative method for the efficient solution of oscillatory complex Hamiltonian...
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On proximal augmented Lagrangian based decomposition methods for dual block-angular convex composite programming problems
We design inexact proximal augmented Lagrangian based decomposition methods for convex composite programming problems with dual block-angular...
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An adaptive algorithm for Steklov eigenvalues of the Lamé operator in linear elasticity
The Steklov eigenvalues of the Lamé operator arise from the analysis of surface waves and vibration modes in a linearly elastic structure. In this...
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Approximate solution of KdV-Burgers equation using improved PINNs algorithm
Finding solutions to partial differential equations (PDEs) has long been a challenging endeavor. Despite various proposed methods, there isn’t a...
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Approximation in the extended functional tensor train format
This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product...
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Unconditionally superconvergent error estimates of a linearized Galerkin finite element method for the nonlinear thermistor problem
In this paper, a linearized Galerkin fully-discrete scheme is proposed and investigated for the time-dependent nonlinear thermistor problem, where...
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A family of the modified three-term Hestenes–Stiefel conjugate gradient method with sufficient descent and conjugacy conditions
To strengthen the three-term Hestenes–Stiefel conjugate gradient method proposed by Zhang et al., we suggest a modified version of it. For this...
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An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control
We propose an efficient mesh adaptive method for the numerical solution of time-dependent partial differential equations considered in the fixed...
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Emigranten der zweiten Generation
Zur zweiten Emigration zählen wir hier alle Mathematikerinnen und Mathematiker, die ihr Studium erst nach ihrer Flucht, in der Emigration beginnen...
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Numerical Solution on Neutral Delay Volterra Integro-Differential Equation
In this research, the constant type of neutral delay Volterra integro-differential equations (NDVIDEs) are currently being resolved by applying the...
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A conjugate gradient algorithm without Lipchitz continuity and its applications
An improved conjugate gradient algorithm is proposed that does not rely on the line search rule and automatically achieves sufficient descent and...
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Numerical methods for forward fractional Feynman–Kac equation
Fractional Feynman–Kac equation governs the functional distribution of the trajectories of anomalous diffusion. The non-commutativity of the integral...
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Soft Computing Artificial Intelligence of Schrödinger Time Independent Equation Arises in Wheeler–DeWitt Model of Quantum Cosmology
AbstractSchrödinger time independent equation arises in Wheeler–DeWitt model of quantum cosmology to develop a wave function for the corrections of...
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Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay
AbstractIn this work, we propose a numerical method for solving a singularly perturbed convection-diffusion problem that involves a time delay term....
