International Journal of Computational Methods

Article	Citations
An Efficient Iterative Method for Nonlinear Boundary Value Problems with Existence and Uniqueness	79
A Multi-Dimensional Lagrange Multiplier Method to Identify the Load Distribution on 3D Special-Shaped Surface in the Strength Analysis of Aircraft Structure	50
Stable Computational Techniques for the Advection–Dispersion Variable Order Model	35
Numerical Modeling of Interface Bond Behavior Between Hybrid Steel-PVA Fiber-Reinforced Engineered Cementitious Composite and Concrete	22
Improved Low-Rank Matrix Approximation in Multivariate Case	19
Static and Transient Response Analysis of Arbitrary Laminated Composite and Sandwich Shells by the FSDT Meshless Method	14
A Generalized Finite Mixture Model for Asymmetric Probability Distribution Observations	13
Adaptive Weighted Multi-Physics-Informed Neural Network for High-Accuracy Shock Wave Capturing	13
A Novel Research on the Base Force Element Method of Complementary Energy Principle for Finite Strain and Finite Rotation Problems	13
Probabilistic Analysis of Highly Nonlinear Models by Adaptive Sparse Polynomial Chaos: Transient Infiltration in Unsaturated Soil	13
Robust Nonconvex Sparse Optimization for Impact Force Identification	11
Parametric Analysis and Design Optimization of a Loudspeaker-Driven Synthetic Jet Actuator Using Response Surface Model in Quiescent Conditions	10
A Novel Approach for Prediction of Peak Plantar Pressure during the Gait Cycle Based on the LSTM and RNN	10
Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels	9
Memory Response of Refined GN Models on a Rotating Fiber-Reinforced Magneto-Thermoelastic Medium Due to Pulsed Laser and Inclined Load	9
A New Approximation Method for Multi-Pantograph Type Delay Differential Equations Using Boubaker Polynomials	8
Preface	8
Circle-Inspired Sine Cosine Optimization-Enabled CRF-RNN and ZFNet for Brain Tumor Segmentation and Classification Using MRI Images	8
Construction and Verification of Composite Intensity Measures for Multi-Storey Underground Structures Based on Partial Least Squares Regression Method	8
Shape Modeling with a Cubic Trigonometric Beta B-Spline with Local Support Basis Functions	8
An Improved Nonprobabilistic Monte Carlo Simulation Method for Structural Reliability Analysis Based on Convex Models	7
Angle-Based Discontinuous Deformation Analysis	6
Author Index Volume 20 (2023)	6
Diagonal, Block-Diagonal and Higher-Order Mass Matrices for the Interior-Node Rotation-Free Quintic Hermite Element of Euler–Bernoulli Beams	6
Dynamic Analysis of an FGM Beam Undergoing Large Overall Motion in Temperature Field	6

Optimization Design of Laminated Functionally Carbon Nanotube-Reinforced Composite Plates Using Deep Neural Networks and Differential Evolution	6
Discrete Element Modeling of Irregular-Shaped Particles Using an Automatic Generation Algorithm-Based Multi-Sphere Model	6
Enhanced Special Relativity Search Algorithm-Based Lorentz Force for Structural Optimization	6
Cubic B-Spline Finite Element Method for Solving Whitham–Broer–Kaup Shallow Water Model	6
Machine Learning–Finite Element Mesh Optimization-Based Modeling and Prediction of Excavation-Induced Shield Tunnel Ground Settlement	5
Simplified Boundary Knot Method with Ghost Points for High-Order Harmonic-Type PDEs	5
Interfacial Torsional Behavior of Pipe Joints with Hardening and Softening Bond-Slip Law	5
Research on Energy Harvesting Performance of Flapping Foil Under Flow Control	5
A Particle Rearrangement Approach for Optimizing Planar and Surface Particle Distributions in Meshless Particle Methods	5
Implementation of Large-Deformation Viscoelastic Models Using the Incremental Variational Formulation with Complex-Step Derivative Approximation	5
Enhancement of Heat Transfer in the Copper Square Duct with Ribs in the Application of Gas Turbine Blade Cooling Systems: A Hybrid Approach	5
A New Type of Variable Preconditioning for a Generalized Minimum Residual Scheme	4
An IMEX Approach Assembled with Radial Basis Function-Finite Difference (RBF-FD) Method for Numerical Solution of Zakharov–Kuznetsov Modified Equal Width (ZKMEW) Equation with Power Law Nonlinearity A	4
Formulation of a New Finite Element with Drilling Rotation Based on Assumed Strains for Membrane Structures	4
Toward Development of a Plate Discrete Element Method: Geometry and Kinematics	4
A New Strategy Based on Augmented Lagrangian for a Class of Block Three-by-Three Linear Systems: An Application for Stokes Problems	4
Numerical Analysis of the Influence of Driver Gases on the Penetration Depth of Particles Using a Micro-Shock Tube-Based Needle-Free Delivery Device	4
Bilinear Constitutive Model-Based Theoretical Study on Interfacial Properties of Pipeline Joints Coupling Tension and Temperature	4
An ANN-BCMO Approach for Material Distribution Optimization of Bi-Directional Functionally Graded Nanocomposite Plates with Geometrically Nonlinear Behaviors	4
Mechanical Evaluation of Additive Manufactured PEEK-Based Intramedullary Nail for Femur Fracture Fixation: A Computational and Experimental Analysis	4
Enhanced Brittle Fracture Modeling in Heterogeneous Materials: A Variational Phase Field Approach Integrating XFEM and Level-Set Methods	4
Enhancement of GJK-EPA Algorithm for Improved Contact Detection in Discrete Element Method Simulations	4
Temperature and Tension Speed-Dependent Interface Properties Between Polymers and Ceramics or Metals	4
A Direct Maximum-Norm Error Estimator for Condensed Elements With Application to Adaptive Analysis of First-Order Initial-Value Problems	4
Dispersion-Preserving Implicit–Explicit Numerical Methods for Reactive Flow Models	4
A Linearized High-Order Compact Numerical Method in Space and Time for Solving Two-Dimensional Nonlinear Generalized Benjamin–Bona–Mahony–Burgers Equations	3
Artificial Intelligence-Based Damage Identification Method Using Principal Component Analysis with Spatial and Multi-Scale Temporal Windows	3
Influence of Residual Stress on Critical Initial Flaw Size in Flash–Butt Welded Rail	3
Crystal Plasticity Model and Simulations for Single Crystal Magnesium	3
Nonlinear Elastoplastic Analysis Using Nonconforming Quadtree Mesh Based on FEM with Wachspress Shape Functions	3
Forward Kinematics Solution of a 6-DOF All-Revolute Parallel Manipulator Using Neural Network	3
An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics	3
Substructuring Method at the Level of Finite Element for Modeling Nonprismatic Structures	3
Novel Adaptive Path-Smoothening Optimization Method for Mobile Robots	3
A Unified Thermo-Fluid–Solid Formulation for FSI and Phase Change Problems Based on the Particle Finite Element Method	3
Research on Reliability of Positioning Accuracy of Electromechanical Coupling Ammunition Loading Manipulator During Rotation Process	3
Two-Level Multiscale Finite Element Method for the Nonlinear Allen–Cahn Equation	3
Nonclassical Transport Laws in Third-Grade Nanoliquid Flow on a Stretchable Surface: A Novel Approach Incorporating Soret and Dufour Effects	3
A Point-Wise Isogeometric Contact Analysis with Interpolatory NURBS Basis	3
A Splitting Nearly-Analytic Symplectic Partitioned Runge–Kutta Method for Solving 2D Elastic Wave Equations	3
A High-Resolution Exponential Spline Method and Its Convergence Analysis for Two-Point Mixed Boundary Value Problems	3
An Arbitrary Lagrangian–Eulerian Method for Tire Transient Rolling Dynamics and Resistance Analysis	3
Numerical Study of Hydrodynamic and Thermal Wake Flows around an Underwater Vehicle	3
Well-Balanced Unstaggered Central Scheme Based on the Continuous Approximation of the Bottom Topography	3
A Kriging-Based Uncertainty Quantification for Fracture Assessment	3
Exploring Weight Functions: A Family of One-Point Methods for Multiple Roots	3
Seismic Performance of Multi-Story Underground Subway Stations Subjected to Vertical Earthquake Excitations	3
Solving Multi-Point Boundary Value Differential Equations with a Novel Semi-Analytical Algorithm	3
Preface: Numerical Modelling of Fibre-Reinforced Materials and Structures	3
Attention-Enhanced Deep Learning Framework for Automated Concrete Crack Depth Prediction Using Infrared Thermography	3

A Variational Physics-Informed Neural Network Framework Using Petrov–Galerkin Method for Solving Singularly Perturbed Boundary Value Problems	3
Enhancing Vibration Control in Smart Beams: A Comparative Study of Piezoelectric-Based Controllers Under Fluid-Induced Vibrations	3
SPH Numerical Simulation of Interaction Between Different Types of Baffles and Liquid Sloshing	3
Improved Smoothed Particle Hydrodynamics for the Three-Dimensional Solid Impact Problems	3
A Tenth-Order Sixth-Derivative Block Method for Directly Solving Fifth-Order Initial Value Problems	3
Nonlinear Soil Behavior Model in Localized Lagrange Multipliers Mixed Formulation (u,p) for Dynamical Analysis of Wind Turbine Coupled Systems	2
Averaging Navier–Stokes Equations by a Dual Approach	2
Alternative Low-Order Triangular Elements for Thick and Thin Shell Analysis	2
Computational Methods for Stationary and Nonstationary Fokker–Planck–Kolmogorov Equations with Random Coefficients	2
Alternative Low-Order Triangular Elements for the Transient Dynamic Analysis of Orthotropic Thick and Thin Plates	2
Application of the Non-Negative Moment Fitting Approach in the Finite Cell Analysis of Brittle Phase-Field Fracture	2
Local Convergence Analysis of a Novel Kurchatov-Type Derivative-Free Methods with and Without Memory for Solving Nonlinear Systems	2
Topology Optimization with Node Density Adaptation and Geometric Multigrid Solving	2
Encoder–Decoder ConvLSTM Structure with Skip Connections for Solving Time-Dependent Partial Differential Equation	2
Author Index Volume 22 (2025)	2
Numerical Solution of Two-Dimensional Viscoplasticity Problem with Perzyna Model Based on Zonal Free Element Method	2
A Structural-Similarity Conditional GAN Method to Generate Real-Time Topology for Shell–Infill Structures	2
Condensed Galerkin Time-Element for Structural Dynamics with Adaptive Time-Stepping in Maximum Norm	2
Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters	2
A Probability-Interval Hybrid Uncertainty Analysis Method Based on the Arbitrary Polynomial Chaos-Chebyshev Interval Expansion	2
Quadrilateral Nonconforming Element Including Lengths of Element and Optimization Method	2
Effect of Initial Stress and Impedance Boundary in Transversely Isotropic Materials	2
An Edge-based Smoothed MITC3+ Plate Element for Analysis of Multilayer Functionally Graded Graphene Nanoplatelet-Reinforced Composite Plates Based on a Third-order Shear Deformation Theory	2
Convergence and Stability Analysis of Galerkin Finite Element Method for Telegraph Equation with Piecewise Continuous Arguments	2
Nonprobabilistic Credible Bayesian Reliability Model for Composite Structures Using Truncated Normal Priors	2
A Special Corner Element for Solving Heat Conduction Problems	2
A Two-Stage Deep Learning Method with Novel Damage Sensitive Features for Structural Damage Identification	2
Efficient Time-Stepping Methods for Isogeometric Analysis of Nonlinear Heat Conduction in Composites	2
Integrating Spatial and Temporal Modeling: A Deep Learning Framework for Super-Resolution Reconstruction and Prediction of Fluid Flows	2
Solution of Third-Order Ordinary Linear Differential Equations in Discriminant Domains Implementing the Variational Iteration Method	2
A Novel Iterative Algorithm for Regularized Separable Nonlinear Inverse Problems	2
High-Order Splitting Scheme for Simulating Regularized Bingham Fluid Flow Using Spectral Element Methods	2
Implementing and Programming Meshfree Collocation with Fast Moving Least-Squares Reproducing Kernel for Elastostatics and Elastodynamics	2
Preface: Recent Advances in Computational Methods (ICCM 2022)	2
A Problem-Dependent Formula of Damping for Stiff Problems	2
Uncertainty Quantification of Vector Nozzle Mechanism Through a Data-Driven Approach	2
Explicit Runge–Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions	2
Numerical Slow Growth Damage Assessment of an Adhesively Bonded Composite Joint Under Compression Through Four-Point Bending	2
Attribution-Selection Topology Optimization for Mechanical Joints	2
Optimizing Wind Turbine Airfoil Design Using Genetic Algorithm and Predicting Aerodynamic Performance Through CFD Analysis	2
Numerical Simulation of Kuramoto–Sivashinsky Equation Using Finite Line Method	2
Iterative Collocation Method for Second-Order Volterra Integro-Differential Equations	2
An Adaptive PML Finite Volume Algorithm for the Scattering by Periodic Gratings	2
A Modified Quantum-Inspired Genetic Algorithm for Continuum Structural Topology Optimization	2
A Family of Projection-Based Spectral Conjugate Gradient Algorithm for Constrained Monotone Nonlinear Equations with Application	2
Accelerated and Improved Modified Gradient–Based Iterative Algorithms for Solving Sylvester Tensor Equations	2
An RBF-Based Algorithm for Analysis and Simulation of KdV Model	2
Projection-Pursuit-Based Weighting for Assessing the Performance Enhancement of Isolation Piles in an Existing Tunnel–Deep Foundation Pit System	2
Effect of Ballistic Impact on Stiffened Cylindrical Fuel Tanks Made of Kevlar/CFRP/GFRP/Kenaf Composite Laminates	2
A Moving Kriging Interpolation Meshless for Bending and Free Vibration Analysis of the Stiffened FGM Plates in Thermal Environment	2
A Bayesian-Based Credible and Reliable Control Method for Active Vibration Suppression of Structures with Uncertain Parameters	2
Preface: Recent Advances in Computational Methods (ICCM 2024) – Part 2	2
An Adaptive Framework for Uncertainty Quantification in the Material Point Method	2
Propagation of Slow Body Waves in Nonuniform Photospheric Waveguides	2
Damage Detection and Localization in a Cantilever Beam Structure Via Regression-and-Classification-Based Machine Learning	2
A Deep Energy Method for the Analysis of Thermoporoelastic Functionally Graded Beams	2
A Linearized Numerical Scheme for Two-Dimensional Semi-Linear Time–Space Fractional Diffusion-Wave Equation with Weakly Singular Solution	1
An Efficient Finite Element Method and Error Analysis Based on Dimension Reduction Scheme for the Fourth-Order Elliptic Eigenvalue Problems in a Circular Domain	1
Preface: Special Issue on Recent Advances in Computational Methods (ICCM 2023)	1
Hyperelastic Material Modeling Using First- and Second-Order Differential Operations with Complex Step Derivative Approximation	1
A Global C-Staggered Composite Model for Shallow Water Equations with Latitude–Longitude Grid and Reductions in the Polar Regions	1
A Dynamical Systems Approach to Machine Learning	1
A Local RBF-Based Differential Quadrature Method for Solving the Time-Fractional Reaction–Diffusion Systems	1
Derivative Free King’s-Type Family for Solving System of Nonlinear Equations	1
Application of Dissipative Contact Force Model for Contact–Impact Analysis in Deep Groove Ball Bearing	1
A Numerical Method to Study the Fiber Orientation and Distribution of Fiber-Reinforced Self-Compacting Concrete	1
Superconvergence of a Nonconforming Brick Element for the Quad-Curl Problem	1
Superconvergence of Legendre Spectral Approximation Methods for Nonlinear Volterra Integral Equations	1
Extended High Convergence Compositions for Solving Nonlinear Equations in Banach Space	1
A Semi-Analytical Approximation for a Coupled System of Singularly Perturbed Convection–Diffusion Equations with Shifts	1
SPH Simulation of Coal Cutting by a Single Pick Under Compressive Pre-Stress	1
Corotational Penalty Element Formulation for Geometrically Nonlinear Analysis of Couple Stress Elasticity	1
An Efficient Jacobi Spectral Collocation Method with Nonlocal Quadrature Rules for Multi-Dimensional Volume-Constrained Nonlocal Models	1
SSPH-Newton Iterative Method for Solving Nonlinear Equations	1
Study on the Transport Characteristics of Bulk Coal Particles Within a Scraper Conveyor Based on SPH	1
A Parameter-Robust Numerical Method Based on Defect-Correction Technique for Parabolic Singular Perturbation Problems with Discontinuous Convection Coefficient and Source	1
An Energy-Conserving Time Integration Method for Co-Rotational Formulation Force-Based Beam Elements	1
Author Index Volume 21 (2024)	1
A Hybrid Legendre Basis Functions/Taylor Series Expansion-Based Variational Pseudo-Spectral Method for Bending Analysis of Three-Phase PM/rGO/CF Cylindrical Shells	1
Thermo-Mechanical Coupling Characteristics and Computation of Stress Intensity Factor of High-Speed Train Brake Disc Under Wheel–Rail Excitation	1

Reduced-Order Model of Complex Unsteady Flows in Turbomachinery Based on Direct Proper Orthogonal Decomposition and Optimized Radial Basis Function	1
Computational Investigation of Flow Over Two Side-by-Side Rotating Cylinders	1
Red Blood Cell Deformability Using PyramidNet with Gannet Puffer Fish Optimization Using Microscopy Image	1
Radial Basis Function-Based Differential Quadrature Approach to Study Reaction–Diffusion of Ca2+ in T Lymphocyte	1
Big Data Generation and Comparative Analysis of Machine Learning Models in Predicting the Fundamental Period of Steel Structures Considering Soil–Structure Interaction	1
An Efficient Off-Step Exponential Spline Technique to Solve Kuramoto–Sivashinsky and Extended Fisher–Kolmogorov Equations	1
Finite Element Analysis of Hybrid Fiber Reinforced Engineered Cementitious Composite Link Slabs	1
Convergence–Focused Numerical Solutions for Nonlinear Moving Boundary Models of Rheumatoid Arthritis	1
Nonlinear Parameter Identification and Suspension Performance Analysis of Hydropneumatic Suspension Based on Polynomial Modeling	1
Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation	1
Analysis of the Fully Discrete Linearly Extrapolated Curvature Stabilize Method for the Thermal Micropolar Navier–Stokes Equations	1
An Efficient Hybrid STO-MFDNN Approach for Induction Effect in Nanoparticle with Magneto-Convective Nanofluid Boundary Layer Flow	1
Element Differential Method for Computational Acoustics in Time Domain	1
Dielectric Boundary Force for the Minimization of the Mean-Field Electrostatic Free-Energy Functional Including the Ionic Size Effect	1
The Computational Design of Corrugated Tube Lattice Structure with Negative Stiffness Property Under Axial Compression Load	1
Hydrodynamic Modeling of Infinite Reservoir Using Periodic Infinite Elements	1
Sound Insulation Characteristics of Sandwich Thin-Plate Acoustic Metamaterial: Analysis and Optimization	1
Efficient Fracture Modeling in Beam–Column Structures Using a Variational Damage Model	1
An Uncertain Vibration Analysis Method for Nonlinear Systems Under Interval Process Excitations	1
Analysis of the Vibration Effect on the Trailing Edge Noise for Wind Turbine Applications	1
Meshfree Stabilized Collocation Method for the Transient Heat Conduction Problems	1
Positioning Accuracy Reliability Analysis for Ammunition Manipulator Based on the Second-Order Mixture Importance Sampling Method	1
Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations	1
Hygrothermal and Imperfection Effects on FG Nanobeam Vibration via a Refined Integral Shear Theory	1
A Novel Strategy for Eliminating the Boundary Layer Effect in the Regularized Integral Identity in PIES for 2D Potential Problem	1
A Computational Method for Aerodynamic, Structural, and Fatigue Modeling of a 5 MW Wind Turbine Blade Using Supercomputer Fugaku	1
Mesh-Free Approaches Based on Radial Basis Functions for the Numerical Simulation of 2D Advection Diffusion Equation	1
Construction of the Nested Approximation Interval B–Spline Wavelet Boundary Element Method to Solve Elasticity Problem	1
Implementation and Application of Cell-Based S-FEM Based on the Object-Oriented Programming Framework	1
Development of Automatic Generating System of Motion-Pictograms from Still-Pictograms	1
Fourier–Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems	1
Diffusion-Induced Stress Analysis of Lithium-Ion Battery Layered Electrode Based on the Boundary Element Method	1
XFEM-VCCT for Composite Delamination	1
Efficient Collocation Algorithm for Solving Three-Dimensional Linear and Nonlinear Volterra Integral Equations	1
Interpolating Meshless Methods for 3D Elastic Problems	1
Analysis of Bioheat Transfer with Thermoelastic Effect	1
Uniformly Convergent Numerical Approximation for Parabolic Singularly Perturbed Delay Problems with Turning Points	1
Time-Variant Reliability Analysis with an Adaptive Single-Loop Kriging Combined with Directional Sampling Method	1
Investigation and Prediction of Buckling and Flexural Behavior in Perforated Staggered Cold-Formed Steel Beams	1
Modified Cubic B-Spline Based Differential Quadrature Method for Solving Generalized Black–Scholes Equation	1
Design Optimization of Flexural and Eigenvalue Characteristics of Perforated and Skewed Bio-Composite Functionally Graded Panels	1
Accurate Nonlinear Bending Analytical Solutions Setting New Benchmarks for Rectangular Thin Plates with Four Clamped Edges	1
Stability of Nonlinear Magneto–Piezo–Thermoelastic Functionally Graded Nanobeams Under Blast Load	1
A Study on Affine Transformations and a Novel Universal Prediction Theory	1
Probabilistic Learning on Manifolds for Statistical Surrogate Models in Uncertain Nano-to-Macro Stochastic Systems	1
Preface	1
Pre-Conditioned Physics-Informed Neural Network for Inverse Problems	1