International Journal of Computational Methods

Article	Citations
An Efficient Iterative Method for Nonlinear Boundary Value Problems with Existence and Uniqueness	59
Probabilistic Analysis of Highly Nonlinear Models by Adaptive Sparse Polynomial Chaos: Transient Infiltration in Unsaturated Soil	45
A Multi-Dimensional Lagrange Multiplier Method to Identify the Load Distribution on 3D Special-Shaped Surface in the Strength Analysis of Aircraft Structure	34
A Novel Research on the Base Force Element Method of Complementary Energy Principle for Finite Strain and Finite Rotation Problems	18
Stable Computational Techniques for the Advection–Dispersion Variable Order Model	18
Parametric Analysis and Design Optimization of a Loudspeaker-Driven Synthetic Jet Actuator Using Response Surface Model in Quiescent Conditions	17
Memory Response of Refined GN Models on a Rotating Fiber-Reinforced Magneto-Thermoelastic Medium Due to Pulsed Laser and Inclined Load	14
Numerical Modeling of Interface Bond Behavior Between Hybrid Steel-PVA Fiber-Reinforced Engineered Cementitious Composite and Concrete	13
Static and Transient Response Analysis of Arbitrary Laminated Composite and Sandwich Shells by the FSDT Meshless Method	12
Spectral Methods For Hammerstein Integral Equations with Nonsmooth Kernels	11
A Generalized Finite Mixture Model for Asymmetric Probability Distribution Observations	10
A Novel Approach for Prediction of Peak Plantar Pressure during the Gait Cycle Based on the LSTM and RNN	10
Improved Low-Rank Matrix Approximation in Multivariate Case	9
Cubic B-Spline Finite Element Method for Solving Whitham–Broer–Kaup Shallow Water Model	9
Robust Nonconvex Sparse Optimization for Impact Force Identification	9
Adaptive Weighted Multi-Physics-Informed Neural Network for High-Accuracy Shock Wave Capturing	9
A New Approximation Method for Multi-Pantograph Type Delay Differential Equations Using Boubaker Polynomials	8
Optimal Inspection Period for Structures Subjected to Fatigue	8
Preface	8
Construction and Verification of Composite Intensity Measures for Multi-Storey Underground Structures Based on Partial Least Squares Regression Method	8
Circle-Inspired Sine Cosine Optimization-Enabled CRF-RNN and ZFNet for Brain Tumor Segmentation and Classification Using MRI Images	7
Diagonal, Block-Diagonal and Higher-Order Mass Matrices for the Interior-Node Rotation-Free Quintic Hermite Element of Euler–Bernoulli Beams	7
Shape Modeling with a Cubic Trigonometric Beta B-Spline with Local Support Basis Functions	7
Optimization Design of Laminated Functionally Carbon Nanotube-Reinforced Composite Plates Using Deep Neural Networks and Differential Evolution	7
An Improved Nonprobabilistic Monte Carlo Simulation Method for Structural Reliability Analysis Based on Convex Models	7

Research on Energy Harvesting Performance of Flapping Foil Under Flow Control	7
Enhanced Special Relativity Search Algorithm-Based Lorentz Force for Structural Optimization	6
Author Index Volume 20 (2023)	6
Simplified Boundary Knot Method with Ghost Points for High-Order Harmonic-Type PDEs	5
Analysis of Full-Ranged Failure Process of Bonded Pipe Joints Under Tension	5
Interfacial Torsional Behavior of Pipe Joints with Hardening and Softening Bond-Slip Law	5
Machine Learning–Finite Element Mesh Optimization-Based Modeling and Prediction of Excavation-Induced Shield Tunnel Ground Settlement	5
Angle-Based Discontinuous Deformation Analysis	5
Discrete Element Modeling of Irregular-Shaped Particles Using an Automatic Generation Algorithm-Based Multi-Sphere Model	5
Dynamic Analysis of an FGM Beam Undergoing Large Overall Motion in Temperature Field	5
Nonclassical Transport Laws in Third-Grade Nanoliquid Flow on a Stretchable Surface: A Novel Approach Incorporating Soret and Dufour Effects	4
Formulation of a New Finite Element with Drilling Rotation Based on Assumed Strains for Membrane Structures	4
A New Strategy Based on Augmented Lagrangian for a Class of Block Three-by-Three Linear Systems: An Application for Stokes Problems	4
Construction and Dynamics of Efficient High-Order Methods for Nonlinear Systems	4
An ANN-BCMO Approach for Material Distribution Optimization of Bi-Directional Functionally Graded Nanocomposite Plates with Geometrically Nonlinear Behaviors	4
Toward Development of a Plate Discrete Element Method: Geometry and Kinematics	4
Temperature and Tension Speed-Dependent Interface Properties Between Polymers and Ceramics or Metals	4
Nonlinear Elastoplastic Analysis Using Nonconforming Quadtree Mesh Based on FEM with Wachspress Shape Functions	4
Solving Multi-Point Boundary Value Differential Equations with a Novel Semi-Analytical Algorithm	4
A Direct Maximum-Norm Error Estimator for Condensed Elements With Application to Adaptive Analysis of First-Order Initial-Value Problems	4
Enhanced Brittle Fracture Modeling in Heterogeneous Materials: A Variational Phase Field Approach Integrating XFEM and Level-Set Methods	4
Mechanical Evaluation of Additive Manufactured PEEK-Based Intramedullary Nail for Femur Fracture Fixation: A Computational and Experimental Analysis	4
Enhancement of Heat Transfer in the Copper Square Duct with Ribs in the Application of Gas Turbine Blade Cooling Systems: A Hybrid Approach	4
Bilinear Constitutive Model-Based Theoretical Study on Interfacial Properties of Pipeline Joints Coupling Tension and Temperature	4
Estimation of the Welding Current in Gas Tungsten Arc Welded (GTAW) Process with a Specified Width Penetration for AISI 304 Stainless Steel	4
Crystal Plasticity Model and Simulations for Single Crystal Magnesium	4
A Novel Virtual Node Selection Scheme of Cell-Based Smoothed Radial Point Interpolation Method (CS-RPIM) for Mid-Frequency Acoustic Problems	4
Influence of Residual Stress on Critical Initial Flaw Size in Flash-Butt Welded Rail	4
A New Type of Variable Preconditioning for a Generalized Minimum Residual Scheme	4
Dispersion-Preserving Implicit–Explicit Numerical Methods for Reactive Flow Models	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
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
A Particle Rearrangement Approach for Optimizing Planar and Surface Particle Distributions in Meshless Particle Methods	4
Artificial Intelligence-Based Damage Identification Method Using Principal Component Analysis with Spatial and Multi-Scale Temporal Windows	4
SPH Numerical Simulation of Interaction Between Different Types of Baffles and Liquid Sloshing	3
A Probability-Interval Hybrid Uncertainty Analysis Method Based on the Arbitrary Polynomial Chaos-Chebyshev Interval Expansion	3
Forward Kinematics Solution of a 6-DOF All-Revolute Parallel Manipulator Using Neural Network	3
Numerical solution of two-dimensional viscoplasticity problem with Perzyna model based on zonal free element method	3
An Arbitrary Lagrangian-Eulerian Method for Tire Transient Rolling Dynamics and Resistance Analysis	3
Preface: Numerical Modelling of Fibre-Reinforced Materials and Structures	3
A Tenth-Order Sixth-Derivative Block Method for Directly Solving Fifth-Order Initial Value Problems	3
Two-Level Multiscale Finite Element Method for the Nonlinear Allen–Cahn Equation	3
Well-Balanced Unstaggered Central Scheme Based on the Continuous Approximation of the Bottom Topography	3
A Bayesian-Based Credible and Reliable Control Method for Active Vibration Suppression of Structures with Uncertain Parameters	3
Condensed Galerkin Time-Element for Structural Dynamics with Adaptive Time-Stepping in Maximum Norm	3
Identifying Moving Vibrational Sources in a Truncated, Damped, Heterogeneous Solid	3
Novel Adaptive Path-Smoothening Optimization Method for Mobile Robots	3
Implementing and Programming Meshfree Collocation with Fast Moving Least-Squares Reproducing Kernel for Elastostatics and Elastodynamics	3
A Splitting Nearly-Analytic Symplectic Partitioned Runge–Kutta Method for Solving 2D Elastic Wave Equations	3
Numerical Study of Hydrodynamic and Thermal Wake Flows around an Underwater Vehicle	3

Exploring Weight Functions: A Family of One-Point Methods for Multiple Roots	3
A Unified Thermo-Fluid–Solid Formulation for FSI and Phase Change Problems Based on the Particle Finite Element Method	3
A Kriging-Based Uncertainty Quantification for Fracture Assessment	3
An Introduction to Programming Physics-Informed Neural Network-Based Computational Solid Mechanics	3
Effect of Initial Stress and Impedance Boundary in Transversely Isotropic Materials	3
Improved Smoothed Particle Hydrodynamics for the Three-Dimensional Solid Impact Problems	3
A High-Resolution Exponential Spline Method and Its Convergence Analysis for Two-Point Mixed Boundary Value Problems	3
Enhancing Vibration Control in Smart Beams: A Comparative Study of Piezoelectric-Based Controllers Under Fluid-Induced Vibrations	3
A Point-Wise Isogeometric Contact Analysis with Interpolatory NURBS Basis	3
Research on Reliability of Positioning Accuracy of Electromechanical Coupling Ammunition Loading Manipulator During Rotation Process	3
A Linearized High-Order Compact Numerical Method in Space and Time for Solving Two-Dimensional Nonlinear Generalized Benjamin–Bona–Mahony–Burgers Equations	3
Integrating Spatial and Temporal Modeling: A Deep Learning Framework for Super-Resolution Reconstruction and Prediction of Fluid Flows	2
Alternative Low-Order Triangular Elements for the Transient Dynamic Analysis of Orthotropic Thick and Thin Plates	2
Encoder–Decoder ConvLSTM Structure with Skip Connections for Solving Time-Dependent Partial Differential Equation	2
Author Index Volume 22 (2025)	2
A Moving Kriging Interpolation Meshless for Bending and Free Vibration Analysis of the Stiffened FGM Plates in Thermal Environment	2
A Fitted Numerical Method for Interior-Layer Parabolic Convection–Diffusion Problems	2
Preface	2
Rapid Seismic Damage Evaluation of Subway Stations Using Machine Learning Techniques	2
Numerical simulation of Kuramoto-Sivashinsky equation using Finite Line Method	2
An Adaptive Framework for Uncertainty Quantification in the Material Point Method	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
Local Convergence Analysis of a Novel Kurchatov-Type Derivative-Free Methods with and Without Memory for Solving Nonlinear Systems	2
Nonprobabilistic Credible Bayesian Reliability Model for Composite Structures Using Truncated Normal Priors	2
Molecular Dynamics Simulation of Crack Growth in Mono-Crystal Nickel With Voids and Inclusions	2
A Structural-Similarity Conditional GAN Method to Generate Real-Time Topology for Shell–Infill Structures	2
Topology Optimization with Node Density Adaptation and Geometric Multigrid Solving	2
Efficient Time-Stepping Methods for Isogeometric Analysis of Nonlinear Heat Conduction in Composites	2
Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters	2
A Deep Energy Method for the Analysis of Thermoporoelastic Functionally Graded Beams	2
Alternative Low-Order Triangular Elements for Thick and Thin Shell Analysis	2
High-Order Splitting Scheme for Simulating Regularized Bingham Fluid Flow Using Spectral Element Methods	2
Numerical Slow Growth Damage Assessment of an Adhesively Bonded Composite Joint Under Compression Through Four-Point Bending	2
Optimizing Wind Turbine Airfoil Design Using Genetic Algorithm and Predicting Aerodynamic Performance Through CFD Analysis	2
Radial Point Interpolation Method for Isotropic Nanoplates in Bending Using Strain Gradient Theory	2
Propagation of Slow Body Waves in Nonuniform Photospheric Waveguides	2
Accelerated and Improved Modified Gradient-Based Iterative Algorithms for Solving Sylvester Tensor Equations	2
Predicting Tunneling-Induced Ground Collapse Based on TBM Operational Data and Geological Data	2
Attribution-Selection Topology Optimization for Mechanical Joints	2
An Adaptive PML Finite Volume Algorithm for the Scattering by Periodic Gratings	2
Computational Methods for Stationary and Nonstationary Fokker–Planck–Kolmogorov Equations with Random Coefficients	2
Solution of Third-Order Ordinary Linear Differential Equations in Discriminant Domains Implementing the Variational Iteration Method	2
A Family of Projection-Based Spectral Conjugate Gradient Algorithm for Constrained Monotone Nonlinear Equations with Application	2
Explicit Runge–Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions	2
An RBF-Based Algorithm for Analysis and Simulation of KdV Model	2
A Modified Quantum-Inspired Genetic Algorithm for Continuum Structural Topology Optimization	2
Iterative Collocation Method for Second-Order Volterra Integro-Differential Equations	2
Attention-Enhanced Deep Learning Framework for Automated Concrete Crack Depth Prediction Using Infrared Thermography	2
A Novel Iterative Algorithm for Regularized Separable Nonlinear Inverse Problems	2
Quadrilateral Nonconforming Element Including Lengths of Element and Optimization Method	2
A Two-Stage Deep Learning Method with Novel Damage Sensitive Features for Structural Damage Identification	2
Nonlinear Soil Behavior Model in Localized Lagrange Multipliers Mixed Formulation (u,p) for Dynamical Analysis of Wind Turbine Coupled Systems	2
A Special Corner Element for Solving Heat Conduction Problems	2
Application of the Non-Negative Moment Fitting Approach in the Finite Cell Analysis of Brittle Phase-Field Fracture	2
Damage Detection and Localization in a Cantilever Beam Structure Via Regression-and-Classification-Based Machine Learning	2
Averaging Navier–Stokes Equations by a Dual Approach	2
Convergence and Stability Analysis of Galerkin Finite Element Method for Telegraph Equation with Piecewise Continuous Arguments	2
Uncertainty Quantification of Vector Nozzle Mechanism Through a Data-Driven Approach	2
Preface: Recent Advances in Computational Methods (ICCM 2024) – Part 2	2
Preface: Recent Advances in Computational Methods (ICCM 2022)	2
Analysis of the Vibration Effect on the Trailing Edge Noise for Wind Turbine Applications	1
A Numerical Algorithm for a Coupled Hyperbolic Boundary Value Problem	1
Fourier–Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems	1
Corotational Penalty Element Formulation for Geometrically Nonlinear Analysis of Couple Stress Elasticity	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
Efficient Collocation Algorithm for Solving Three-Dimensional Linear and Nonlinear Volterra Integral Equations	1
Accurate Nonlinear Bending Analytical Solutions Setting New Benchmarks for Rectangular Thin Plates with Four Clamped Edges	1
An Efficient Hybrid STO-MFDNN Approach for Induction Effect in Nanoparticle with Magneto-Convective Nanofluid Boundary Layer Flow	1
An Efficient Jacobi Spectral Collocation Method with Nonlocal Quadrature Rules for Multi-Dimensional Volume-Constrained Nonlocal Models	1
Time-Variant Reliability Analysis with an Adaptive Single-Loop Kriging Combined with Directional Sampling Method	1
Author Index Volume 21 (2024)	1
Hygrothermal and Imperfection Effects on FG Nanobeam Vibration via a Refined Integral Shear Theory	1
XFEM-VCCT for Composite Delamination	1
Pre-Conditioned Physics-Informed Neural Network for Inverse Problems	1
Element Differential Method for Computational Acoustics in Time Domain	1
Extended High Convergence Compositions for Solving Nonlinear Equations in Banach Space	1
Probabilistic Learning on Manifolds for Statistical Surrogate Models in Uncertain Nano-to-Macro Stochastic Systems	1
An Uncertain Vibration Analysis Method for Nonlinear Systems Under Interval Process Excitations	1
Interpolating Meshless Methods for 3D Elastic Problems	1
Sound Insulation Characteristics of Sandwich Thin-Plate Acoustic Metamaterial: Analysis and Optimization	1

Red Blood Cell Deformability Using PyramidNet with Gannet Puffer Fish Optimization Using Microscopy Image	1
A Linearized Numerical Scheme for Two-Dimensional Semi-Linear Time–Space Fractional Diffusion-Wave Equation with Weakly Singular Solution	1
A Dynamical Systems Approach to Machine Learning	1
Mesh-Free Approaches Based on Radial Basis Functions for the Numerical Simulation of 2D Advection Diffusion Equation	1
Nonlinear Parameter Identification and Suspension Performance Analysis of Hydropneumatic Suspension Based on Polynomial Modeling	1
Analysis of the Fully Discrete Linearly Extrapolated Curvature Stabilize Method for the Thermal Micropolar Navier–Stokes Equations	1
Big Data Generation and Comparative Analysis of Machine Learning Models in Predicting the Fundamental Period of Steel Structures Considering Soil–Structure Interaction	1
Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation	1
Investigation and Prediction of Buckling and Flexural Behavior in Perforated Staggered Cold-Formed Steel Beams	1
SSPH-Newton Iterative Method for Solving Nonlinear Equations	1
Meshfree Stabilized Collocation Method for the Transient Heat Conduction Problems	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
Superconvergence of Legendre Spectral Approximation Methods for Nonlinear Volterra Integral Equations	1
Positioning Accuracy Reliability Analysis for Ammunition Manipulator Based on the Second-Order Mixture Importance Sampling Method	1
Application of Dissipative Contact Force Model for Contact–Impact Analysis in Deep Groove Ball Bearing	1
Preface: Special Issue on Recent Advances in Computational Methods (ICCM 2023)	1
A Local RBF-Based Differential Quadrature Method for Solving the Time-Fractional Reaction–Diffusion Systems	1
The Computational Design of Corrugated Tube Lattice Structure with Negative Stiffness Property Under Axial Compression Load	1
Hyperelastic Material Modeling Using First- and Second-Order Differential Operations with Complex Step Derivative Approximation	1
Convergence-Focused Numerical Solutions for Nonlinear Moving Boundary Models of Rheumatoid Arthritis	1
A Parameter-Robust Numerical Method Based on Defect-Correction Technique for Parabolic Singular Perturbation Problems with Discontinuous Convection Coefficient and Source	1
A Semi-Analytical Approximation for a Coupled System of Singularly Perturbed Convection–Diffusion Equations with Shifts	1
Dynamic Fracture Modeling of Impact Test Specimens by the Polygon Scaled Boundary Finite Element Method	1
Thermo-Mechanical Coupling Characteristics and Computation of Stress Intensity Factor of High-Speed Train Brake Disc Under Wheel–Rail Excitation	1
A Global C-Staggered Composite Model for Shallow Water Equations with Latitude–Longitude Grid and Reductions in the Polar Regions	1
Computational Investigation of Flow Over Two Side-by-Side Rotating Cylinders	1
Construction of the Nested Approximation Interval B-Spline Wavelet Boundary Element Method to Solve Elasticity Problem	1
Design Optimization of Flexural and Eigenvalue Characteristics of Perforated and Skewed Bio-Composite Functionally Graded Panels	1
Acoustic Characteristics of Laminar–Turbulent Transition in a Flat Plate Based on PSE and FW–H	1
Implementation and Application of Cell-Based S-FEM Based on the Object-Oriented Programming Framework	1
On Surrogate Duality and Competition between Entropy and Potential Energy in the Finite Element Model of Elastic Contact Mechanics	1
Superconvergence of a Nonconforming Brick Element for the Quad-Curl Problem	1
Efficient Fracture Modeling in Beam–Column Structures Using a Variational Damage Model	1
Analysis of Bioheat Transfer with Thermoelastic Effect	1
A Study on Affine Transformations and a Novel Universal Prediction Theory	1
Computer Simulations of Blood Flows in Right Coronary Arteries with Multiple Stenoses	1
Dielectric Boundary Force for the Minimization of the Mean-Field Electrostatic Free-Energy Functional Including the Ionic Size Effect	1
Radial Basis Function-Based Differential Quadrature Approach to Study Reaction–Diffusion of Ca2+ in T Lymphocyte	1
Reduced-Order Model of Complex Unsteady Flows in Turbomachinery Based on Direct Proper Orthogonal Decomposition and Optimized Radial Basis Function	1
Adaptive Learning Rate Residual Network Based on Physics-Informed for Solving Partial Differential Equations	1
Finite Element Analysis of Hybrid Fiber Reinforced Engineered Cementitious Composite Link Slabs	1
Uniformly Convergent Numerical Approximation for Parabolic Singularly Perturbed Delay Problems with Turning Points	1
Development of Automatic Generating System of Motion-Pictograms from Still-Pictograms	1
Stability of Nonlinear Magneto-Piezo-Thermoelastic Functionally Graded Nanobeams under Blast Load	1
A Numerical Method to Study the Fiber Orientation and Distribution of Fiber-Reinforced Self-Compacting Concrete	1
Multiscale Modeling of Metal-Ceramic Spatially Tailored Materials via Gaussian Process Regression and Peridynamics	1
A Computational Method for Aerodynamic, Structural, and Fatigue Modeling of a 5 MW Wind Turbine Blade Using Supercomputer Fugaku	1
A Novel Strategy for Eliminating the Boundary Layer Effect in the Regularized Integral Identity in PIES for 2D Potential Problem	1
An Efficient Off-Step Exponential Spline Technique to Solve Kuramoto–Sivashinsky and Extended Fisher–Kolmogorov Equations	1
An Energy-Conserving Time Integration Method for Co-Rotational Formulation Force-Based Beam Elements	1
Derivative Free King’s-Type Family for Solving System of Nonlinear Equations	1