Advances in Applied Mathematics and Mechanics

Article	Citations
Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model	35
Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation	19
A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems	19
Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry	17
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model	16
Oversampled Collocation Approximation Method of Functions via Jacobi Frames	15
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations	12
A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme	12
An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations	11
An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations	9
Ultra-Chaos: An Insurmountable Objective Obstacle of Reproducibility and Replication	8
An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core	8
A New Unified Form of Universal Wall Function	8
Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method	8
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations	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 Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem	7
Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows	7
Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium	6
A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids	6
Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay	6
Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations	6
Nonlinear Vibroacoustic Analysis of Functionally Graded Plates in the Thermal Ambiance at Oblique Incidence	6
Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies	6
Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method	5

A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem	5
Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation	5
Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes	5
On Field Concentration Between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime	4
An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory	4
Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition	4
Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model	4
Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations	4
Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method	4
A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes	4
Deep Domain Decomposition Methods: Helmholtz Equation	4
Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow	4
New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws	4
Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation	4
An Efficient Method for the RCS Reduction of Cavities in the Ground Plane	4
The Random Feature Method for Elliptic Eigenvalue Problems	4
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress	4
A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow	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
Application of Lattice Boltzmann Method to Simulate Forest Edge	3
Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem	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
Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials	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
Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels	3
Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis	3
Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative	3
The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations	3
SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions	3
Uncertainty Quantification of Store-Separation Simulation Due to Ejector Modeling Using a Monte Carlo Approach with Kriging Model	3
Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods	3
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
Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics	2
Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes	2
High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems	2
A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations	2
Deep Neural Network for Oscillation Dynamics of Capillary Rise	2
Lattice Boltzmann Model for a Class of Viscous Wave Equation	2
Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method	2
A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations	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
The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation	2
Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay	2
An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces	2
Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation	2
Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes	2
An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis	2

An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow	2
Finite Element Method Coupling Penalty Method for Flexural Shell Model	2
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection	2
Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition	2
A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems	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
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes	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
Finite-Time Stability and Instability of Nonlinear Impulsive Systems	2
Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem	2
Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations	2
Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions	2
The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering	2
A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations	1
HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs	1
Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces	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
Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel	1
High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs	1
Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations	1
A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws	1
Broad Learning System with Preprocessing to Recover the Scattering Obstacles with Far–Field Data	1
The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model	1
Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation	1
Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations	1
Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation	1
A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos	1
The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	1
A Patch-Based Low-Rank Minimization Approach for Speckle Noise Reduction in Ultrasound Images	1
A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy	1
Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations	1
Characterising Mechanical Properties of Flowing Microcapsules Using a Deep Convolutional Neural Network	1
Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping	1
A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations	1
Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity	1
Cell-Average Based Neural Network Method for Hunter-Saxton Equations	1
Free Vibration of Stiffened Plate with Cracked Stiffeners	1
Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space	1
Critical Transition Reynolds Number for the Incompressible Flat-Plate Boundary Layer as Searched by Numerical Simulation	1
A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates	1
A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation	1
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem	1
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation	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
A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media	1
Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface	1
First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density	1
Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles	1
Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model	1
The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities	1
A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation	1
Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes	1
High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations	1
Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method	1
Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method	1
Spectral Scheme for Nonlinear Volterra Integro-Differential Equation	1
Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind	1
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk	1
Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws	1
Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow	1
The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity	1
Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study	1
Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams Using Various Beam Theories	0
Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method	0
The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	0
Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations	0
Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials	0
High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems	0
A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver	0
Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization	0
The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation	0
Dynamic Loadings Induced Vibration of Third Order Shear Deformable FG-CNTRC Beams: Gram-Schmidt-Ritz Method	0
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation	0
An Energy Stable SPH Method for Incompressible Fluid Flow	0
Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes	0
A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model	0

A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations	0
A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD	0
Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations	0
Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle	0
Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian	0
Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material	0
Nonlocal Vibration Response of FG Saturated Porous Nanoplate Resting on Elastic Foundation using Quasi-3D HSDT Theory	0
Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation	0
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems	0
Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction	0
Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics	0
Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions	0
Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach	0
A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes	0
Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation	0
Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis	0
Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes	0
A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints	0
An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain	0
Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel	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
On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations	0
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method	0
Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density	0
Effect of Thermal Convection and Mass Transfer on Particle Motion During Sedimentation: A Numerical Study	0
An ADI Sparse Grid Method for Pricing Efficiently American Options under the Heston Model	0
Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation	0
Image Segmentation via Fischer-Burmeister Total Variation and Thresholding	0
A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients	0
A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer	0
A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation	0
Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface	0
An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation	0
A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation	0
A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids	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 Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes	0
Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions	0
A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis	0
Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity	0
A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation	0
Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion	0
Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density	0
Meshfree Methods for the Helmholtz Equation with Variable Wave Speed	0
Method to Improve Heat Extraction in Enhanced Geothermal Systems with Heterogeneous Fracture Network	0
Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids	0
Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method	0
An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment	0
A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography	0
Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients	0
Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering	0
A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State	0
A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties	0
Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media	0
Nonconforming Finite Element Method for Obstacle Problem of $p$-Laplacian	0
An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows	0
A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations	0
An Inverse Problem with the Final Overdetermination for the Mean Field Games System	0
Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations	0
Buckling Analysis of FG Porous Truncated Conical Shells Resting on Elastic Foundations in the Framework of the Shear Deformation Theory	0
Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition	0
A Total Variation Based Method for Multivariate Time Series Segmentation	0
Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method	0
A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures	0
Natural Frequencies of Composite Lattice Structure Surrounded by Winkler-Pasternak Ambient Using Galerkin Method	0
Postbuckling Analysis of Shear Deformable FGM Cylindrical Shells with Porosities Subjected to Combined Mechanical Loads in Thermal Environments	0
An Improved WENO-Z+ Scheme	0
Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses	0
Inexact Iterative WYD Method for Eigenvalue Problems	0
A CDM-Based Tensile Instability Analysis in DP1180 Steel Sheet	0
The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface	0
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations	0
A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems	0
A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains	0
A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions	0
Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media	0
Finite Volume Element Method for a Nonlinear Parabolic Equation	0
A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow	0
Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory	0
Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method	0
A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility	0
High Order Efficient Algorithm for Computation of MHD Flow Ensembles	0
Front Tracking and Parameter Identification for a Conservation Law with a Space-Dependent Coefficient Modeling Granular Segregation	0
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm	0
Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation	0
Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations	0
A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem	0
A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise	0
The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations	0
Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems	0
A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws	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
A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints	0