Mathematics and Computers in Simulation

Papers
(The median citation count of Mathematics and Computers in Simulation is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)
ArticleCitations
IMACS Calendar of Events274
News of IMACS161
A deterministic numerical scheme for an electron heat transport model148
Reduced-order modeling for Ablowitz–Ladik equation114
Resolution of the bidimensional shallow water equations with horizontal temperature gradients by a well Balanced Roe scheme107
Dynamic behaviors in a Cournot duopoly model with knowledge spillover effect based on constant conjectural variation106
Frequency offset estimation technique based on modified dichotomous search in the presence of mixed Gaussian and impulsive noise100
A novel WENO formulation with Mach number-based adaptive numerical dissipation88
Tracking problem of non-particle morphology based on fixed-time ZNN model86
A rational-expansion-based method to compute Gabor coefficients of 2D indicator functions supported on polygonal domain85
Time-varying volatility model equipped with regime switching factor: Valuation of option price written on energy futures85
Approximation of piecewise smooth functions by nonuniform nonlinear quadratic and cubic spline quasi-interpolants80
Bifurcation dynamics of a delayed chemostat system with spatial diffusion79
A land cover change framework analyzing wildfire-affected areas in bitemporal PRISMA hyperspectral images74
Dynamic analysis of a Solow–Swan model with capital-induced labor migration72
Complex bifurcations and new types of structure uncovered in the Qi system69
A novel structured discrete grey Gompertz multivariable prediction model and its application64
New DY-HS hybrid conjugate gradient algorithm for solving optimization problem of unsteady partial differential equations with convection term64
An optimal combination of antiretroviral treatment and immunotherapy for controlling HIV infection62
Analytical and numerical dissipativity for the space-fractional Allen–Cahn equation61
Complex dynamics and chaos control in a fractional-order discrete prey-predator model incorporating an Ivlev functional response and Allee effect60
Approximate solution of Fredholm integral equations of the second kind through multinode Shepard operators59
Numerical simulation of time variable fractional order mobile–immobile advection–dispersion model based on an efficient hybrid numerical method with stability and convergence analysis56
Multiscale control of Stackelberg games56
Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions55
Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults54
tost.II: A temporal operator-splitting template library in deal.II53
Heat transfer analysis of water-ethylene glycol (50:50) based nanofluid over a cone with the influences of magnetic field and uniform heat generation/absorption53
Modelling, optimisation and management strategies for a microgrid with integrated thermal energy storage51
High order discretization methods for spatial-dependent epidemic models51
Analysis and simulation of a delayed HIV model with reaction–diffusion and sliding control50
Theoretical guarantees for neural control variates in MCMC49
Regional boundary observability for Riemann–Liouville linear fractional evolution systems47
Application of modified extended tanh method in solving fractional order coupled wave equations47
Galerkin finite element method for a two-dimensional tempered time–space fractional diffusion equation with application to a Bloch–Torrey equation retaining Larmor precession45
Decomposition of the option pricing formula for infinite activity jump-diffusion stochastic volatility models44
Numerical approach to solve imprecisely defined systems using Inner Outer Direct Search optimization technique44
A new moment-independent uncertainty importance measure based on cumulative residual entropy for developing uncertainty reduction strategies44
Modelling the prudent predation in predator–prey interactions43
Dependence properties of scrambled Halton sequences43
Spatiotemporal dynamics of a non-smooth reaction–diffusion Wilson neuron model with time delay43
High-order numerical method for Caputo–Hadamard fractional reaction-diffusion equations using nonuniform temporal mesh43
A fictitious domain spectral method for time-dependent Sobolev equations in complex domains43
Excitability and synchronization of vanadium dioxide memristor-inspired neurons41
Comparing peak electricity load forecasting models for an industrial and a residential building40
Flexible voltage controller and tuning method for robust operation of standalone grid forming converters40
A novel fractional-order neutral-type two-delayed neural network: Stability, bifurcation, and numerical solution39
Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation39
Modeling the effect of non-pharmaceutical measures and vaccination on the spread of two variants of COVID-19 in India39
A Hermite spline model for data regression39
Optimal error estimate of a linearized FEM based on the Lagrange multiplier approach for the Landau–Lifshitz equation39
An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem38
Limit cycles of homogeneous polynomial Kukles differential systems38
Editorial Board38
Stochastic transport with Lévy noise fully discrete numerical approximation38
Improved salp swarm algorithm combined with chaos37
Integration of the stochastic underdamped harmonic oscillator by the θ37
Classification methods based on κ-logistic models36
Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach36
News of IMACS36
A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with 36
The numerical solution of the free-boundary cell motility problem36
A parallel subgrid stabilized method for the steady natural convection problem35
A class of PSO-tuned controllers in Lorenz chaotic system35
Backward bifurcation and stability analysis in a within-host HIV model with both virus-to-cell infection and cell-to-cell transmission, and anti-retroviral therapy35
Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model35
Linearising anhysteretic magnetisation curves: A novel algorithm for finding simulation parameters and magnetic moments35
Numerical solutions of the HIV infection model of CD4(+) cells by Laguerre wavelets34
The Ohm’s Law for (non-symmetric) three-phase three-wire electrical circuits: From a complex-valued to a geometric algebra approach34
A 34
Time-delay Hammerstein system identification using modified cross-correlation method and variable stacking length multi-error algorithm34
A chaos study of fractal–fractional predator–prey model of mathematical ecology34
Global stability of a delayed predator–prey system with fear and Holling-type II functional response in deterministic and stochastic environments34
Modeling metastatic tumor evolution, numerical resolution and growth prediction34
Isogeometric simulation of acoustic radiation34
An Innovative approach towards image encryption by using novel PRNs and S-boxes Modeling techniques33
Dynamics of a stockless market through piecewise smooth models33
Short-term electricity price forecasting through demand and renewable generation prediction33
A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations33
Complex dynamics of a four-species food web model with nonlinear top predator harvesting and fear effect33
Can adaptive prey refuge facilitate species coexistence in Bazykin’s prey–predator model?33
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion–wave equation32
Modified Levin formulation for highly oscillatory Bessel integral transforms32
Dynamic behavior of a stochastic HIV model with latent infection and Ornstein–Uhlenbeck process32
Efficient color image steganography based on new adapted chaotic dynamical system with discrete orthogonal moment transforms31
Multivariate data-dependent partition of unity based on Moving Least Squares method31
Numerical analysis of a positivity-preserving finite element method for fractional Fisher–KPP equation31
Enriched physics-informed neural networks for dynamic Poisson-Nernst-Planck systems31
Improved salp swarm algorithm based on Newton interpolation and cosine opposition-based learning for feature selection30
Editorial Board30
Some bivariate options pricing in a regime-switching stochastic volatility jump-diffusion model with stochastic intensity, stochastic interest and dependent jump30
An efficient Newton-like conjugate gradient method with restart strategy and its application30
Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally30
New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications30
An agile modeling framework for population dynamics30
Influence of price elasticity of demand on monopoly games under different returns to scale30
Global well-posedness and dynamics of spatial diffusion HIV model with CTLs response and chemotaxis30
Dynamical asymptotic analysis to a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation: The superposition formulas of rational solutions and interaction solutions under the bilinear vector method29
Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations29
IMACS Calendar of Events29
IMACS Calendar of Events29
An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm–Liouville problems29
Pressure Poisson splitting scheme for Navier–Stokes Equations with open boundaries28
Robust RRE technique for increasing the order of accuracy of SPH numerical solutions28
Robust grid forming control for black start operation of diode rectifier based wind power plants28
IMACS Calendar of Events28
N -pl28
Retrieval of surface and atmospheric parameters from high resolution infrared sensors28
Preface Electrimacs 2022 – Engineering28
Fourier-informed knot placement schemes for B-spline approximation28
Editorial Board27
Spatiotemporal dynamics and bifurcation analysis on network and non-network environments of a dangerous prey and predator model27
Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method27
Impact of COVID-19 lockdown in short-term load forecasting27
Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis27
Dual-population two-archive evolutionary framework for constrained multi-objective optimization27
A corrected Crank–Nicolson scheme for the time fractional parabolic integro-differential equation with nonsmooth data26
Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator26
Stable and decoupled schemes for an electrohydrodynamics model26
A salp swarm algorithm based on Harris Eagle foraging strategy26
Reliability analysis and optimization for a redundant system with dependent failures and variable repair rates26
Analysis of repairable discrete-time queueing systems with negative customers, disasters, balking customers and interruptible working vacations under Bernoulli schedule26
Bistability in a predator–prey model characterized by the Crowley–Martin functional response: Effects of fear, hunting cooperation, additional foods and nonlinear harvesting26
Role of multiple time delays on a stage-structured predator–prey system in a toxic environment26
Dynamics of a stochastic prey–predator eco-epidemiological system with distributed delay and impulsive perturbations25
Generation of fractals via iterated function system of Kannan contractions in controlled metric space25
Small-signal stability analysis of mixed power system integrating grid forming and following inverters-based resources25
Robust regulation of blood glucose for Type-1 diabetes using insulin infusion limiter-based feedback control via artificial Pancreas25
Barycentric interpolation collocation algorithm to solve fractional differential equations25
Data-driven approach to shallow water equation in ocean engineering: Multi-soliton solutions, chaos, and sensitivity analysis25
Proposal and validation of an optimization method using Monte Carlo method for multi-objective functions25
Finding the minimum k-weighted dominating sets using heuristic algo25
Novel singularity-free IDA-PBC design method for stable interconnection of boost converters25
Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators25
Output tracking and disturbance rejection control for switched systems under asynchronous switching25
Unified algorithms for distributed regularized linear regression model24
Strong convergence of an explicit numerical approximation for n-dimen24
An RBF-based method with optimal point selection for solving two-dimensional multi-term time-fractional PIDEs with weakly singular kernels24
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations24
Numerical analysis of a nonlinear age-structured HBV model with saturated incidence and spatial diffusion24
Efficient spectral methods for the fourth-order elliptic eigenvalue problems24
IMACS Calendar of Events24
Optimal control study on Michaelis–Menten kinetics — A fractional version24
IMACS Calendar of Events24
Iteratively Sustained Sliding Mode Control based energy management in a DC Microgrid24
A space–time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media23
Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity23
An optimal and efficient framework for the construction of nonlinear components based on a polynomial ring23
Basic reproduction number of a deterministic and stochastic predator–prey model with novel fear functions23
Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis23
IMACS Calendar of Events23
Multi-force effect on fluid flow, heat and mass transfer, and entropy generation in a stratified fluid-saturated porous enclosure23
Simulation methods and error analysis for trawl processes and ambit fields23
A coupled marching method for Cauchy problems of the Helmholtz equation in complex waveguides23
Multiscale malaria models and their uniform in-time asymptotic analysis23
Predefined-time synchronization for competitive neural networks with different time scales and external disturbances23
Jump–diffusion productivity models in equilibrium problems with heterogeneous agents23
A partial-integrable numerical simulation scheme of the derivative nonlinear Schrödinger equation22
Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media22
New families of soliton solutions and dynamics of nonlinear traveling waves for the Whitham–Broer–Kaup equation22
Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body22
Analytical computation of conditional moments in the extended Cox–Ingersoll–Ross process with regime switching: Hybrid PDE system solutions with financial applications22
Linear quadratic optimal control of stochastic 2-D Roesser models22
Grey wolf algorithm for cost optimization of cloud computing repairable system with N22
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-222
Isoparametric formulation for a quadrilateral element described by non-differentiable functions using Gaussian points22
Discrete pendulum equation22
Multiple bifurcations and managing chaos: A discretized ratio-dependent Holling–Tanner predator–prey model with Allee effect in prey22
Numerical solution of nonlinear Fredholm–Hammerstein integral equations with logarithmic kernel by spline quasi-interpolating projectors22
Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model22
Stability of HIV dynamic model with constraint interval parameters depending on antiretroviral treatment22
Editorial Board22
Exploring dynamical properties of a Type 1 diabetes model using sensitivity approaches22
A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada–Kotera equation21
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing21
Characterization of rational solutions of a KdV-like equation21
Superconvergent spectral methods for system of modified Volterra Integral Equations21
Solving the permutation flow shop scheduling problem with sequence-dependent setup time via iterative greedy algorithm and imitation learning21
Integer reversible Racah transform and enhanced chaotic maps for 1D/2D signal reconstruction and secure image encryption21
Mathematical study of Algae as a bio-fertilizer using fractal–fractional dynamic model21
Bifurcation analysis of an SIR model considering hospital resources and vaccination21
Statistical approach for highest precision numerical differentiation21
Bounded real lemmas and exponential H21
Discretised general fractional derivative21
Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application21
Event-triggered control design with varying gains for polynomial fuzzy systems against DoS attacks21
Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks20
A novel comparative fractional-order modeling of omicron dynamics: Vaccination impact and control strategies in the USA20
Solving 2nd order BVPs in planar irregular domains20
IMACS Calendar of Events20
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes20
Dynamics analysis of a predator–prey model with nonmonotonic functional response and impulsive control20
Survivability analysis for a three-dimensional predator–prey model with Markov switching20
Fractional truncated exponential method for linear fractional optimal control problems20
News of IMACS20
Effect of cross-border migration on the healthcare system of a destination community: Insights from mathematical modelling of COVID-19 in a developing country20
News of IMACS20
Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer20
SCW-iterative-computational method for solving a wide class of nonlinear fractional optimal control problems with Caputo derivatives19
News of IMACS19
Use of Ishikawa and Picard–Ishikawa iterations with 19
A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel19
A spectral collocation scheme for the two dimensional flow of a regularized viscoplastic fluid: Numerical results and comparison with analytical solution19
Total controllability results for impulsive fractional integro-differential systems of order 19
Mathematical modeling of tumor growth and treatment: Triple negative breast cancer19
An (α, β, γ) distance transformation for the numerical computation of 3D domain integrals directly in transient boundary element analysis19
Stochastic dynamics of an SIS epidemiological model with media coverage19
Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus19
Vertically averaged multi-constituent flow simulations of geological CO2 sequestration — Stabilized finite element methods and quadratic elements19
Three types of solitons propagating in saturable nonlinear media19
Capacity estimation of Lithium-ion batteries through a Machine Learning approach19
Modeling the effects of obesity on a tumor-immune model with combined therapy18
Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution diffusion modeling18
Dynamics of Walters’ B fluid due to periodic wave in a convectively heated channel with internal heat generation18
PDE models for vegetation biomass and autotoxicity18
Efficient methods and analysis for computing integrals of composite oscillatory functions18
On collocation-Galerkin method and fractional B-spline functions for a class of stochastic fractional integro-differential equations18
Solvability of a generalized ψ-Riemann–Liouville fractional BVP unde18
The study of non-constant steady states and pattern formation for an interacting population model in a spatial environment18
Meshfree methods for the variable-order fractional advection–diffusion equation18
An efficient algorithm for pricing reinsurance contract under the regime-switching model18
Image hiding algorithm based on local binary pattern and compressive sensing18
A parallel image encryption algorithm using intra bitplane scrambling18
A parsimonious dynamic mixture for heavy-tailed distributions18
Application of χ 18
Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays18
Master–slave synchronization for glucose–insulin metabolism of type-1 diabetic Mellitus model based on new fractal–fractional order derivative18
Higher-degree super-smooth 18
Numerical dynamics for discrete nonlinear damping Korteweg–de Vries equations18
Prediction of bio-heat and mass transportation in radiative MHD Walter-B nanofluid using MANFIS model18
Boomerang aerodynamic ellipse optimizer: A human game-inspired optimization technique for numerical optimization and multilevel thresholding image segmentation17
Editorial Board17
Editorial Board17
Group defense promotes coexistence in interference competition: The Holling type IV competitive response17
Stability of exact and numerical solutions for McKean–Vlasov stochastic differential equations with Hölder diffusion coefficients17
A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation17
A simple chaotic system using signum function17
Option pricing under multifactor Black–Scholes model using orthogonal spline wavelets17
Practical finite-time bipartite synchronization for fractional-order T–S fuzzy multilayer signed networks via dynamic event-triggered hybrid impulsive control17
Dynamic properties for a stochastic SEIR model with Ornstein–Uhlenbeck process17
A multiscale domain decomposition approach for parabolic equations using expanded mixed method17
Modelling the wind effect in predator–prey interactions17
Simulating spectral images of natural waters and submerged objects from a bird’s-eye view17
Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems17
Autonomous bonobo optimization algorithm for power allocation in wireless networks17
Noisy prediction-based control leading to stability switch17
Development and performance evaluation of fully coupled finite volume solvers using Newton iteration for mixed convection flow problems17
Modeling and dynamics of measles via fractional differential operator of singular and non-singular kernels17
News of IMACS17
Wavelet thresholding on independent subspace factorizations of spatially indexed wide functional data for robust estimation of cortical activity17
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