525 results
Showing 1–20 · 0.18 seconds · RSS
Results in Applied Mathematics
Scopus
ISSN 2590-0374 · Elsevier · 525 articles in the index
-
Journal Article
A quadratically convergent algorithm for inverse singular value problems with multiple singular values
In 2021, for inverse singular value problems, a quadratically convergent algorithm (Wei and Chen, 2021) based on matrix multiplication (Ogita and Aishima, 2020) was designed for inverse singular value problems. Although this method has some good features compared to other quadratic convergence…
-
Journal Article
Heston option pricing with trapezoidal fuzzy parameters
We propose a deterministic and conservative method for pricing European options under parameter ambiguity in the Heston model. The primary inputs (κ,θ,σ,ρ,v0,r) are represented as trapezoidal fuzzy numbers, and uncertainty is propagated via α-cuts through the characteristic-function representation…
-
Journal Article
On the existence and multiplicity of solutions to a Schrödinger–Kirchhoff–Poisson system with superlinear terms
This paper is concerned with the existence and multiplicity of solutions to the following Schrödinger–Kirchhoff–Poisson system −(a+b∫Ω|∇u|2)Δu+K(x)ϕu=f(x,u),x∈Ω,−Δϕ=K(x)u2,x∈Ω,u=ϕ=0,x∈∂Ω,where a≥0 and b>0 and Ω is a bounded smooth domain of R3. Under certain assumptions of nonnegative density…
-
Journal Article
Analytical solutions of 1D Maxwell’s equations via infinite-order expansions
Analytical solutions to Maxwell’s equations are essential for understanding the causal and instantaneous behavior of electromagnetic fields, yet they are challenging to obtain in open-space settings with general initial values and source terms. This work uses an infinite-order estimation scheme…
-
Journal Article
An adaptive-fidelity gradient-enhanced PINN framework for option pricing under regime-switching models
This paper introduces an Adaptive Fidelity Gradient-Enhanced Physics-Informed Neural Network (AF-GPINN) for pricing options under regime-switching models. These models use multiple discrete market states (“regimes”), leading to coupled PDE systems that are computationally challenging. We build upon…
-
Journal Article
Machine-precision solution of Fredholm integral equations via barycentric physics-informed method
This paper presents a barycentric physics-informed (BPI) computational method for solving second-kind Fredholm integral equations. Unlike conventional Multi-Layer Perceptrons (MLPs) used in Physics-Informed Neural Networks (PINNs) that introduce inherent barriers to higher precision, the BPI method…
-
Journal Article
Multivariate spatial conditional quantiles on hyperspheres in the presence of measurement error
Quantiles constitute a fundamental construct in probability theory and mathematical statistics, serving as an indispensable tool across a wide spectrum of applications. While the univariate concept of quantiles is both intuitively transparent and mathematically well established, its extension to…
-
Journal Article
Non-dimensional FEM analysis of a functionally graded thermopiezoelectric rod subjected to a moving heat source
A functionally graded one-dimensional piezoelectric rod excited by a moving heat source is considered. Its dynamic multifield response under this type of thermal load is investigated in the context of coupled Lord-Shulman thermopiezoelectricity theory.In the literature, the transient response of…
-
Journal Article
A comparison of implicit–explicit Runge–Kutta time integration schemes in numerical solvers based on the Galerkin and Petrov–Galerkin spectral methods for two-dimensional magneto-hydrodynamic problems
The research adopts the Galerkin and Petrov–Galerkin spectral methods to analyze the effects of implicit–explicit Runge–Kutta (IMEX RK) time schemes on the stability, accuracy, precision, and efficiency of computations when used in numerical simulations of the diffusion, Burgers’, and…
-
Journal Article
On the inversion of polynomials of discrete Laplace matrices
The efficient inversion of matrix polynomials is a critical challenge in computational mathematics. We design a procedure to determine the inverse of matrices polynomial of multidimensional Laplace matrices. The method is based on eigenvector and eigenvalue expansions. The method is consistent with…
-
Journal Article
A hybrid meshless collocation approach for capturing solution and gradient jumps in 1D telegraph double-interface model with highly discontinuous coefficients
Telegraph interface models accurately predict signal and wave behavior in layered media with multiple boundaries, providing a reliable basis for the design and analysis of electrical, communication, and geophysical systems. This article presents a numerical method for solving the one-dimensional…
-
Journal Article
A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations
In this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in this regard. Some formulas are introduced…
-
Journal Article
General conservative sixth- and eighth-order compact finite difference schemes for the N-coupled Schrödinger-Boussinesq equations
In this paper, general conservative sixth- and eighth-order compact finite difference schemes are presented to solve the N-coupled nonlinear Schrödinger-Boussinesq equations numerically. The existence of the difference solution is proved by fixed-point theorem. By utilizing the discrete energy…
-
Journal Article
Screening effects in Gaussian random fields under generalized spectral conditions
The screening effect is a central idea in spatial prediction: once nearby observations are used, distant ones add little. While Stein’s classical results explain this effect under strong spectral conditions, many models used in practice fall outside those assumptions. In this paper, we extend…
-
Journal Article
A Liouville-type theorem for 3D stationary Navier–Stokes equations
In this paper, we establish a Liouville-type theorem for smooth solutions of the stationary Navier–Stokes equations under a growth condition on the Lebesgue norms. Based on this condition, we prove a lemma analogous to the Poincaré-type inequality in the curl sense, which serves as a key tool in…
-
Journal Article
Optimal second order covariant derivatives on associated bundles — Application to color image restoration
This paper deals with the application of a geometric setting widely employed in theoretical physics, namely the fiber bundles, to color image restoration. The key idea of this approach is to model an image as a function on a principal bundle satisfying an equivariance property with respect to the…
-
Journal Article
A hybrid MPWENO scheme with enhanced accuracy and robustness for the compressible Euler equations
In this study, we develop a hybrid high-order monotonicity-preserving Weighted Essentially Non-Oscillatory (MPWENO) finite difference discretization for the compressible Euler equations. The key innovation of this scheme lies in optimizing the numerical flux through the mixed smooth indicator to…
-
Journal Article
A hybrid numerical method for multi-domain wave propagation problems
This study introduces a hybrid numerical methodology designed to address multi-domain wave propagation problems. The temporal discretization is achieved using the Houbolt scheme, a finite-difference-based approach known for its robust stability in time-dependent simulations. Spatially, the…
-
Journal Article
A quantum graph FFT with applications to partial differential equations on networks
The Fast Fourier Transform is extended to functions on finite graphs whose edges are identified with intervals of finite length. Spectral and pseudospectral methods are developed to solve a wide variety of time dependent partial differential equations on domains which are modeled as networks of one…
-
Journal Article
Artificial neural network approach and sensitivity analysis of thermal radiative transport in Casson hybrid nanofluid flow through a rotating channel with Riga plates
Artificial neural networks (ANNs) represent a substantial technological progression with extensive applications spanning virtually all fields of investigation, innovation, and enterprise because of their straightforwardness, dependability, non-linear properties, and robustness. The current study…