Advances in Applied Mathematics and Mechanics

Article	Citations
Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation	21
Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry	20
A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme	17
Oversampled Collocation Approximation Method of Functions via Jacobi Frames	17
An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations	10
An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations	9
A New Unified Form of Universal Wall Function	8
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model	8
On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models	7
A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems	7
Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows	7
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations	7
An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core	6
A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation	6
Weighted Sonine Conditions and Application	6
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations	6
Multi-Subband Transfer Matrix Method for the Two-Dimensional Schrödinger Equation in Quantum Devices	6
Nonlinear Vibroacoustic Analysis of Functionally Graded Plates in the Thermal Ambiance at Oblique Incidence	5
Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations	5
Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay	5
Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method	5
Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations	5
Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation	5
On Field Concentration Between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime	4
Multi-Resolution WENO Method with Adaptive Linear Weights Using Subcell Strategy	4

Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes	4
Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method	4
New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws	4
A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes	4
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress	4
A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem	4
Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method	4
An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory	4
Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation	4
High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation	4
A Spectral Split-Step Padé Method for Guided Wave Propagation	4
Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition	3
The Random Feature Method for Elliptic Eigenvalue Problems	3
A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics	3
Deep Domain Decomposition Methods: Helmholtz Equation	3
Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow	3
A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow	3
Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model	3
A Fully Discrete Method for Space-Time Fractional Parabolic Problems	3
Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem	3
An Efficient Method for the RCS Reduction of Cavities in the Ground Plane	3
Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis	3
A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation	3
Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation	3
Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative	3
The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering	2
Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition	2
High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems	2
Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes	2
Conservative Three-Level Linearized Finite Difference Schemes for the Rosenau-KdV Equation	2
Buckling Analysis of Functionally Graded Beams under Combined Loadings	2
Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies	2
Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials	2
Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels	2
Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics	2
Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations	2
Power Series Solution and Its Indirect Precision Evaluation of Camassa–Holm Equation	2
Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach	2
A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows	2
Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance	2
A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions	2
Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation	2
An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces	2
The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations	2
SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions	2
Application of Lattice Boltzmann Method to Simulate Forest Edge	2
High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems	2
A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes	2
Evaluation of Geothermal Energy Extraction in Enhanced Geothermal System (EGS) with Multiple Stage Fracturing Wells (MSFW)	2
A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh	2

Deep Neural Network for Oscillation Dynamics of Capillary Rise	2
The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation	2
A Robust Weighted Compact Nonlinear Scheme for Compressible Euler Equations	2
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes	2
Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend	2
Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods	2
Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions	2
Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation	2
A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems	2
Simple Numerical Method for Analyzing Axially Functionally Graded Geometric Nonlinear Beam with Three Unknowns	1
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem	1
Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem	1
A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes	1
Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method	1
Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces	1
Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model	1
A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates	1
High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs	1
Broad Learning System with Preprocessing to Recover the Scattering Obstacles with Far–Field Data	1
Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel	1
A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos	1
The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity	1
An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis	1
Spectral Scheme for Nonlinear Volterra Integro-Differential Equation	1
Finite-Time Stability and Instability of Nonlinear Impulsive Systems	1
Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes	1
The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities	1
On the Stability and Differentiability of Nonlocal Strain Gradient Porous Thermoelasticity Under (Coleman or Pipkin)–Gurtin’s Law	1
On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense	1
Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity	1
Forced Vibration of Polymeric Reddy Plate Reinforced with GPL/CNT/GOri Face Sheets and Honeycomb Cores by Considering Thermo-Electro-Magneto-Mechanical Preloads	1
Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres	1
Analysis of a Cable-Suspended Double Beam System	1
A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation	1
Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping	1
Numerical Investigation of the Nonlinear Convection Diffusion Equation with a General Capacity Term	1
High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations	1
Free Vibration of Stiffened Plate with Cracked Stiffeners	1
Random Batch Sum-of-Gaussians Method for Molecular Dynamics of Born-Mayer-Huggins Systems	1
A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media	1
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection	1
A Three-Dimensional Mass-Conserved Multiphase Lattice Boltzmann Flux Solver for Incompressible Flows with Large Density and Viscosity Ratios	1
An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow	1
Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations	1
Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method	1
Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind	1
Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space	1
A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy	1
The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	1
First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density	1
Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws	1
Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes	1
Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations	1
Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws	1
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk	1
Up to Fourth-Order Structure-Preserving Diagonally Implicit Runge-Kutta Schemes for the Allen-Cahn-Type Equations	1
A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation	1
Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation	1
HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs	1
Some Structure-Preserving Schemes for Fractional Nonlinear Schrödinger Equation in Two Dimensions	1
Critical Transition Reynolds Number for the Incompressible Flat-Plate Boundary Layer as Searched by Numerical Simulation	1
A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field	1
Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface	1
A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations	1
A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws	1
Lattice Boltzmann Model for a Class of Viscous Wave Equation	1
A Novel RBF-Based Method for the Generalized Sobolev Equation in Fluid Flow and Its Three Time-Fractional Analogs	1
Cell-Average Based Neural Network Method for Hunter-Saxton Equations	1
Theoretical Analysis of Liquid Lens Evaporation on Immiscible Liquid Surface	0
Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations	0
High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems	0
Explicit Form of Simplified Grad’s 13 Moments Distribution Function-Based Moment Gas Kinetic Solver with Unstructured Meshes for the Multiscale Rarefied Flow	0
A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids	0
Natural Frequencies of Composite Lattice Structure Surrounded by Winkler-Pasternak Ambient Using Galerkin Method	0
A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model	0
Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow	0
Meshfree Methods for the Helmholtz Equation with Variable Wave Speed	0
Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation	0
Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction	0
Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition	0

Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material	0
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm	0
Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian	0
Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations	0
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems	0
Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian	0
A Mixed Finite Element Method for Elliptic Interface Problems on Local Anisotropic Hybrid Meshes	0
Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes	0
An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain	0
Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method	0
Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems	0
An Efficient Numerical Scheme Based on Sinc Functions for the Analysis of 1D Peridynamic Models	0
Effect of Thermal Convection and Mass Transfer on Particle Motion During Sedimentation: A Numerical Study	0
A Method for Solving the Inverse Scattering Problem of Acoustic Obstacles Based on Linear Sampling Method and Neural Network	0
A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation	0
Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface	0
A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping	0
Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation	0
High-Precision Calculation of Wave-Current Forces on Offshore Wind Turbines Based on the Regularized Singular Boundary Method	0
A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography	0
A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures	0
A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation	0
Static Instability of Ultra-Thin Elastic Structures Using Isogeometric Analysis	0
New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation	0
Numerical Study on Flow-Induced Vibration of a Cactus-Shaped Cylinder with Porous Spines under Subcritical Reynolds Number	0
Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes	0
The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation	0
The Asymptotic Analysis for the Singularly Perturbed Subdiffusion Equations on Bounded Domain	0
Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions	0
A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis	0
A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations	0
A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration	0
Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation	0
A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties	0
Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine	0
A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility	0
Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation	0
A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow	0
The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations	0
An Improved WENO-Z+ Scheme	0
Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory	0
Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation	0
A Total Variation Based Method for Multivariate Time Series Segmentation	0
An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows	0
A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State	0
On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations	0
An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment	0
Numerical Investigation of the Reverse Diffusion in Binary Hydrocarbon Systems at Equilibrium States	0
An AVF Galerkin Structure-Preserving Algorithm for the Klein-Gordon-Schrödinger Equation	0
A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations	0
A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity	0
A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study	0
Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity	0
A Preconditioned Iteration Method for Solving Saddle Point Problems	0
Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method	0
Quantification to Symmetry-Breaking of Rotation Invariance for Attractors in Perturbed Lorenz System	0
Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems	0
The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface	0
A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model	0
A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients	0
A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise	0
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations	0
Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering	0
An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation	0
An Effective $\ell_p$-Nonconvex Regularization Method for Image Smoothing	0
Inexact Iterative WYD Method for Eigenvalue Problems	0
Diagonally Implicit Runge-Kutta Methods for Nonlinear Dissipative Systems under Convex Functional in Vector Space	0
The $C^1$ Finite Element Procedure for Static and Free Vibration Analysis of Bi-Functionally Graded Sandwich Plates Resting on Non-Uniform Elastic Foundations	0
Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations	0
A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD	0
A Discrete Collocation Technique Using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models	0
A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model	0
The Band Structure of In-Plane Elastic Cracked Phononic Crystals Based on the Local RBF Collocation Method	0
Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions	0
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation	0
ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems	0
A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media	0
Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients	0
Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions	0
Stochastic Particle Method with Birth-Death Dynamics	0
Method to Improve Heat Extraction in Enhanced Geothermal Systems with Heterogeneous Fracture Network	0
Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations	0
Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations	0
The Direct-Line Method for Forward and Inverse Linear Elasticity Problems in Composite Materials with Multiple Singularities	0
Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations	0
Local Interaction Simulation Approach for the Acoustic Wave Equation with Perfectly Matched Layer	0
A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints	0
The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term	0
The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	0
Finite Volume Element Method for a Nonlinear Parabolic Equation	0
A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems	0
A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations	0
Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$	0
Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization	0
Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media	0