Advances in Applied Mathematics and Mechanics

Article	Citations
A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver	33
An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces	14
High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations	13
Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping	13
Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations	12
The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations	11
Oversampled Collocation Approximation Method of Functions via Jacobi Frames	8
Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density	7
Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes	7
Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations	7
A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation	6
A New Unified Form of Universal Wall Function	6
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations	6
Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics	5
Stokes Flows Imposed Constant Navier Slip Length on Boundary for Domains of Simple Geometry	5
Static Instability of Ultra-Thin Elastic Structures Using Isogeometric Analysis	5
Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model	4
Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study	4
Uncertainty Quantification of Store-Separation Simulation Due to Ejector Modeling Using a Monte Carlo Approach with Kriging Model	4
A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography	4
Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer	4
Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method	4
Effect of Thermal Convection and Mass Transfer on Particle Motion During Sedimentation: A Numerical Study	3
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model	3
A Total Variation Based Method for Multivariate Time Series Segmentation	3

Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay	3
A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design	3
A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems	3
Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces	3
Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials	3
Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method	3
Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation	3
Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model	3
An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes	3
A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms	3
Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping	3
Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions	3
A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes	2
On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models	2
A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions	2
Analyzing the Effects of Key Design Factors of a Negative-Differential-Resistance (NDR) Microfluidic Oscillator – An Equivalent-Circuit-Model Approach	2
A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties	2
Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes	2
High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems	2
A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme	2
A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes	2
Accurate Static and Dynamic Analysis using Unstructured Meshes for Complicated Geometry Problems	2
Stochastic Runge-Kutta–Munthe-Kaas Methods in the Modelling of Perturbed Rigid Bodies	2
A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity	2
Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection	2
A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids	2
Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method	2
A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations	2
Finite Volume Element Method for a Nonlinear Parabolic Equation	2
A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems	2
Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles	2
A Hybrid Reconstruction Method Based Upon the Characteristic Fields Decomposition of Compressible Euler Equations	2
A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations	2
Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space	2
Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme	2
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation	2
Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations	2
Lattice Boltzmann Method for 2D Tidal Flow: Application to the Nador Lagoon	2
Ultra-Chaos: An Insurmountable Objective Obstacle of Reproducibility and Replication	2
Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows	2
A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation	1
Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow	1
The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation	1
The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems	1
A Buckley-Leverett Theory Based Lattice Boltzmann Method for Immiscible Two-Phase Flow with Viscous Coupling in Porous Media	1
A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State	1
Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions	1
A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography	1
Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay	1
Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations	1

Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions	1
Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel	1
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm	1
The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model	1
The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity	1
Finite Element Method Coupling Penalty Method for Flexural Shell Model	1
Modified Galerkin Method for Derivative Dependent Fredholm–Hammerstein Integral Equations of Second Kind	1
Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation	1
A Patch-Based Low-Rank Minimization Approach for Speckle Noise Reduction in Ultrasound Images	1
Cell-Average Based Neural Network Method for Hunter-Saxton Equations	1
Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion	1
Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity	1
Free Vibration of Stiffened Plate with Cracked Stiffeners	1
Critical Transition Reynolds Number for the Incompressible Flat-Plate Boundary Layer as Searched by Numerical Simulation	1
An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows	1
Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations	1
Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients	1
Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium	1
A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation	1
A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids	1
An Analytical Approach for Nonlinear Buckling Analysis of Torsionally Loaded Sandwich Carbon Nanotube Reinforced Cylindrical Shells with Auxetic Core	1
High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems	1
Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory	1
A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem	1
A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model	1
A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem	1
Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material	1
A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows	1
Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions	1
Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method	1
Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation	0
A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise	0
A Quadratic Finite Volume Method for Parabolic Problems	0
Front Tracking and Parameter Identification for a Conservation Law with a Space-Dependent Coefficient Modeling Granular Segregation	0
A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow	0
A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws	0
A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws	0
An Energy Stable SPH Method for Incompressible Fluid Flow	0
An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations	0
An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory	0
Broad Learning System with Preprocessing to Recover the Scattering Obstacles with Far–Field Data	0
SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions	0
Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids	0
Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle	0
A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration	0
Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering	0
Characterising Mechanical Properties of Flowing Microcapsules Using a Deep Convolutional Neural Network	0
A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations	0
Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations	0
Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem	0
A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes	0
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method	0
Method to Improve Heat Extraction in Enhanced Geothermal Systems with Heterogeneous Fracture Network	0
A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model	0
Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem	0
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem	0
An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain	0
An Improved WENO-Z+ Scheme	0
Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model	0
Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods	0
Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations	0
Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media	0
Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition	0
A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations	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
The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations	0
A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems	0
Deep Domain Decomposition Methods: Helmholtz Equation	0
Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation	0
An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment	0
Buckling Analysis of FG Porous Truncated Conical Shells Resting on Elastic Foundations in the Framework of the Shear Deformation Theory	0
Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model	0
A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis	0
Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations	0
Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials	0
The Random Feature Method for Elliptic Eigenvalue Problems	0
An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow	0
Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method	0
Dynamic Loadings Induced Vibration of Third Order Shear Deformable FG-CNTRC Beams: Gram-Schmidt-Ritz Method	0
A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy	0

Lattice Boltzmann Model for a Class of Viscous Wave Equation	0
A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures	0
A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems	0
A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes	0
A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow	0
Nonlinear Vibroacoustic Analysis of Functionally Graded Plates in the Thermal Ambiance at Oblique Incidence	0
Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization	0
Image Segmentation via Fischer-Burmeister Total Variation and Thresholding	0
Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation	0
Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes	0
A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility	0
A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD	0
Recent Advances and Emerging Applications of the Singular Boundary Method for Large-Scale and High-Frequency Computational Acoustics	0
Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface	0
Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind	0
A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations	0
Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation	0
Deep Neural Network for Oscillation Dynamics of Capillary Rise	0
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	0
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress	0
An Efficient Method for the RCS Reduction of Cavities in the Ground Plane	0
Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations	0
Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay	0
Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes	0
Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend	0
Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method	0
Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrodinger Equation	0
A Two-Stage Color Image Segmentation Method Based on Saturation-Value Total Variation	0
Compressive Strength Prediction of High-Performance Hydraulic Concrete Using a Novel Neural Network Based on the Memristor	0
Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrodinger Type Equation	0
Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels	0
Natural Frequencies of Composite Lattice Structure Surrounded by Winkler-Pasternak Ambient Using Galerkin Method	0
Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations	0
Spectral Scheme for Nonlinear Volterra Integro-Differential Equation	0
Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation	0
Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations	0
Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow	0
Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams Using Various Beam Theories	0
Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface	0
A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer	0
Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions	0
On Field Concentration Between Nearly-Touching Multiscale Inclusions in the Quasi-Static Regime	0
A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints	0
A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations	0
An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis	0
Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density	0
Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations	0
The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique	0
Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint	0
A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids	0
A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints	0
Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem	0
Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition	0
Finite-Time Stability and Instability of Nonlinear Impulsive Systems	0
Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach	0
Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative	0
A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation	0
A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions	0
A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation	0
Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation	0
Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method	0
Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian	0
Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation	0
Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method	0
Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses	0
A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients	0
Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$	0
The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Techniqu	0
Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model	0
The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation	0
Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes	0
An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation	0
Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation	0
A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation	0
High Order Efficient Algorithm for Computation of MHD Flow Ensembles	0
A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates	0
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	0
A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems	0
Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction	0
A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates	0
Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity	0
Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation	0
New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws	0
A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations	0
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection	0
A Micro-Structure Dependent Buckling Analysis of Partially-Cracked Generally Orthotropic Plate under Thermal Domain	0
Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method	0
A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation	0
Application of Lattice Boltzmann Method to Simulate Forest Edge	0
Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations	0
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk	0
A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study	0
A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos	0