Advances in Applied Mathematics and Mechanics

Article	Citations
Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation	36
Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry	20
A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems	20
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model	18
Oversampled Collocation Approximation Method of Functions via Jacobi Frames	16
A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme	15
A New Unified Form of Universal Wall Function	14
An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations	12
An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations	11
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations	9
Ultra-Chaos: An Insurmountable Objective Obstacle of Reproducibility and Replication	9
A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem	8
Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method	8
On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models	8
Weighted Sonine Conditions and Application	7
Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows	7
Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies	7
Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations	7
Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation	6
An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core	6
A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids	6
Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium	6
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations	6
Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation	5
Nonlinear Vibroacoustic Analysis of Functionally Graded Plates in the Thermal Ambiance at Oblique Incidence	5

Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method	5
Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes	5
A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem	4
Multi-Resolution WENO Method with Adaptive Linear Weights using Subcell Strategy	4
An Efficient Method for the RCS Reduction of Cavities in the Ground Plane	4
Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method	4
Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay	4
On Field Concentration Between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime	4
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress	4
Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition	4
The Random Feature Method for Elliptic Eigenvalue Problems	4
Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations	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
Deep Domain Decomposition Methods: Helmholtz Equation	4
A Fully Discrete Method for Space-Time Fractional Parabolic Problems	4
A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes	4
New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws	4
Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative	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
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
Application of Lattice Boltzmann Method to Simulate Forest Edge	3
Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials	3
Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model	3
A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow	3
Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow	3
Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem	3
Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels	3
Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods	3
Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation	3
Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint	3
Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend	3
Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation	3
SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions	3
Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes	2
The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering	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
Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies	2
Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions	2
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes	2
Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics	2
Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation	2
High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems	2
Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem	2
A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems	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
Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations	2
High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems	2

Uncertainty Quantification of Store-Separation Simulation Due to Ejector Modeling Using a Monte Carlo Approach with Kriging Model	2
Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes	2
A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations	2
An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces	2
Finite-Time Stability and Instability of Nonlinear Impulsive Systems	2
Lattice Boltzmann Model for a Class of Viscous Wave Equation	2
Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method	2
Finite Element Method Coupling Penalty Method for Flexural Shell Model	2
Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition	2
The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation	2
A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions	2
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation	2
Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance	2
The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations	2
A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes	2
A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows	2
An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow	2
A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates	1
Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface	1
A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos	1
The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model	1
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation	1
A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws	1
A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations	1
High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs	1
Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method	1
A Patch-Based Low-Rank Minimization Approach for Speckle Noise Reduction in Ultrasound Images	1
A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains	1
A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes	1
Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity	1
Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study	1
Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model	1
Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces	1
Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations	1
HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs	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
Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation	1
Free Vibration of Stiffened Plate with Cracked Stiffeners	1
Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation	1
Critical Transition Reynolds Number for the Incompressible Flat-Plate Boundary Layer as Searched by Numerical Simulation	1
Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow	1
Spectral Scheme for Nonlinear Volterra Integro-Differential Equation	1
An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis	1
Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations	1
The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity	1
Cell-Average Based Neural Network Method for Hunter-Saxton Equations	1
A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations	1
High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations	1
Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres	1
The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities	1
Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem	1
A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography	1
Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations	1
A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation	1
The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	1
Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes	1
Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind	1
A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation	1
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection	1
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk	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
Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method	1
A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media	1
Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles	1
A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes	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
Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping	1
Characterising Mechanical Properties of Flowing Microcapsules Using a Deep Convolutional Neural Network	1
On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense	1
Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws	1
First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density	1
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem	1
Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws	1
A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties	0
A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids	0
A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients	0
Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes	0
Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses	0

A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study	0
Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method	0
Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion	0
Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems	0
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm	0
Method to Improve Heat Extraction in Enhanced Geothermal Systems with Heterogeneous Fracture Network	0
Local Interaction Simulation Approach for the Acoustic Wave Equation with Perfectly Matched Layer	0
Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation	0
Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics	0
Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations	0
A Total Variation Based Method for Multivariate Time Series Segmentation	0
Meshfree Methods for the Helmholtz Equation with Variable Wave Speed	0
A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation	0
A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model	0
Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations	0
The Asymptotic Analysis for the Singularly Perturbed Subdiffusion Equations on Bounded Domain	0
Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian	0
Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations	0
A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints	0
ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems	0
Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition	0
A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State	0
A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations	0
A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations	0
Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations	0
Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface	0
Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation	0
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations	0
Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method	0
Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients	0
Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes	0
Natural Frequencies of Composite Lattice Structure Surrounded by Winkler-Pasternak Ambient Using Galerkin Method	0
A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media	0
A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD	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
Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method	0
Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory	0
An Improved WENO-Z+ Scheme	0
Effect of Thermal Convection and Mass Transfer on Particle Motion During Sedimentation: A Numerical Study	0
High Order Efficient Algorithm for Computation of MHD Flow Ensembles	0
Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems	0
Inexact Iterative WYD Method for Eigenvalue Problems	0
Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions	0
An Inverse Problem with the Final Overdetermination for the Mean Field Games System	0
A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes	0
A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis	0
Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation	0
Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian	0
Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations	0
A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations	0
A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation	0
The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations	0
Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media	0
A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping	0
A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise	0
Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow	0
Buckling Analysis of FG Porous Truncated Conical Shells Resting on Elastic Foundations in the Framework of the Shear Deformation Theory	0
Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization	0
A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models	0
New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation	0
A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures	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
A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem	0
Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media	0
The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation	0
An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows	0
An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment	0
An Energy Stable SPH Method for Incompressible Fluid Flow	0
On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations	0
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems	0
A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation	0
Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials	0
Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions	0
A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility	0
Front Tracking and Parameter Identification for a Conservation Law with a Space-Dependent Coefficient Modeling Granular Segregation	0
Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material	0
A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow	0
Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis	0
A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems	0
Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering	0
Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel	0
An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain	0
A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints	0
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation	0
Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations	0
The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface	0
The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term	0
A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws	0
Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams Using Various Beam Theories	0
A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver	0
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method	0
A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions	0
Image Segmentation via Fischer-Burmeister Total Variation and Thresholding	0
Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation	0