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A Multi-Scale Method for PM2.5 Forecasting with Multi-Source Big Data
In the age of big data, the Internet big data can finely reflect public attention to air pollution, which greatly impact ambient PM 2.5 ...
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Novel operational matrix method for the numerical solution of nonlinear reaction–advection–diffusion equation of fractional order
In this work, a new scheme has been developed for the numerical solution of the fractional order reaction–advection–diffusion equation. To...
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A High-Order Accuracy Method for Calculating the Initial Icing Stage of a Civil Aircraft’s Structural Elements
AbstractAn effective approach based on the discontinuous Galerkin method (DGM) of a high-order accuracy for calculating the initial stage of an...
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An efficient hybrid method to solve nonlinear differential equations in applied sciences
In this study, by combining the generalized pseudospectral method, which is a new numerical method, with the quasi-linearization method (QLM), an...
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Solving System of Fractional Differential Equations via Vieta-Lucas Operational Matrix Method
Vieta-Lucas polynomials (VLPs) belong to the class of weighted orthogonal polynomials, which can be used to effectively handle various natural and...
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Computational Modelling Based on RIBEM Method for the Numerical Solution of Convection-Diffusion Equations
A new robust transformation technique, called the radial integration method (RIM), was developed by Gao (Eng Anal Boundary Elem 26:905–916, 2002)...
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A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks
We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an arbitrary matrix...
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An Aggregation-Based Two-Grid Method for Multilevel Block Toeplitz Linear Systems
This paper presents an aggregation-based two-grid method for solving a multilevel block Toeplitz system. Different from the existing multigrid...
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Singular Points, Laurent Series, and Residues
This chapter is devoted to the systematic study of singular points, Laurent series expansion, and application of the theory of residues by the...
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Error bounds for a least squares meshless finite difference method on closed manifolds
We present an error bound for a least squares version of the kernel based meshless finite difference method for elliptic differential equations on...
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A novel triple periodic minimal surface-like plate lattice and its data-driven optimization method for superior mechanical properties
Lattice structures can be designed to achieve unique mechanical properties and have attracted increasing attention for applications in high-end...
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Decision Making in Nonlinear Dynamical System Diagnosis by a Nonparametric Method
AbstractThe problem of diagnosing dynamical systems described by models in the form of nonlinear differential equations with unknown coefficients...
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Nonparametric Quantile Inference for Cause-specific Residual Life Function Under Length-biased Sampling
This paper considers a competing risks model for right-censored and length-biased survival data from prevalent sampling. We propose a nonparametric...
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The Reduced Basis Method in Space and Time: Challenges, Limits and Perspectives
The simulation and optimization of several real-world industrial problems involve parameters, e.g. unknown constants, design parameters, controls...
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Deep Ritz Method for Elliptical Multiple Eigenvalue Problems
In this paper, we investigate solving the elliptical multiple eigenvalue (EME) problems using a Feedforward Neural Network. Firstly, we propose a...
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Asymptotic properties of conditional least-squares estimators for array time series
The paper provides a kind of Klimko–Nelson’s theorems alternative in the case of conditional least-squares and M-estimators for array time series...
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Investigation and Application of the Domain Decomposition Method for Simulating Fuel Elements
AbstractComputational algorithms based on the two-level additive Schwarz method (a version of the domain decomposition method with overlap**) and...
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Chebyshev spectral method for the variable-order fractional mobile–immobile advection–dispersion equation arising from solute transport in heterogeneous media
This study focuses on the numerical solution of the space–time variable-order fractional derivative mobile–immobile advection–dispersion equation....
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Applications of Differential Calculus II
We discuss further applications of differentiation, such as Newton’s method for approximating zeros of functions and Taylor expansion for...
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Impact of awareness program on diabetes mellitus described by fractional-order model solving by homotopy analysis method
The major contributions to the noncommunicable disease is diabetes mellitus but knowledge and awareness of diabetes play a prominent role in...
