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 2022-06-01 to 2026-06-01.)
ArticleCitations
IMACS Calendar of Events263
Decomposition of the option pricing formula for infinite activity jump-diffusion stochastic volatility models156
News of IMACS143
A deterministic numerical scheme for an electron heat transport model120
Reduced-order modeling for Ablowitz–Ladik equation108
Resolution of the bidimensional shallow water equations with horizontal temperature gradients by a well Balanced Roe scheme104
Dynamic behaviors in a Cournot duopoly model with knowledge spillover effect based on constant conjectural variation100
Frequency offset estimation technique based on modified dichotomous search in the presence of mixed Gaussian and impulsive noise96
A novel WENO formulation with Mach number-based adaptive numerical dissipation85
Tracking problem of non-particle morphology based on fixed-time ZNN model84
Time-varying volatility model equipped with regime switching factor: Valuation of option price written on energy futures82
A rational-expansion-based method to compute Gabor coefficients of 2D indicator functions supported on polygonal domain81
Bifurcation dynamics of a delayed chemostat system with spatial diffusion76
Approximation of piecewise smooth functions by nonuniform nonlinear quadratic and cubic spline quasi-interpolants76
A land cover change framework analyzing wildfire-affected areas in bitemporal PRISMA hyperspectral images74
Complex bifurcations and new types of structure uncovered in the Qi system70
Dynamic analysis of a Solow–Swan model with capital-induced labor migration70
A novel structured discrete grey Gompertz multivariable prediction model and its application67
New DY-HS hybrid conjugate gradient algorithm for solving optimization problem of unsteady partial differential equations with convection term62
Flexible voltage controller and tuning method for robust operation of standalone grid forming converters61
Modelling the prudent predation in predator–prey interactions61
A novel fractional-order neutral-type two-delayed neural network: Stability, bifurcation, and numerical solution58
Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults58
An optimal combination of antiretroviral treatment and immunotherapy for controlling HIV infection58
Heat transfer analysis of water-ethylene glycol (50:50) based nanofluid over a cone with the influences of magnetic field and uniform heat generation/absorption55
tost.II: A temporal operator-splitting template library in deal.II55
Modelling, optimisation and management strategies for a microgrid with integrated thermal energy storage54
High order discretization methods for spatial-dependent epidemic models52
Robust adaptive backstepping control of uncertain fractional-order nonlinear systems with input time delay50
Comparing peak electricity load forecasting models for an industrial and a residential building50
Excitability and synchronization of vanadium dioxide memristor-inspired neurons50
Analysis and simulation of a delayed HIV model with reaction–diffusion and sliding control50
High-order numerical method for Caputo–Hadamard fractional reaction-diffusion equations using nonuniform temporal mesh46
Theoretical guarantees for neural control variates in MCMC45
Application of modified extended tanh method in solving fractional order coupled wave equations44
Galerkin finite element method for a two-dimensional tempered time–space fractional diffusion equation with application to a Bloch–Torrey equation retaining Larmor precession44
Dependence properties of scrambled Halton sequences43
Analytical and numerical dissipativity for the space-fractional Allen–Cahn equation43
Approximate solution of Fredholm integral equations of the second kind through multinode Shepard operators42
Multiscale control of Stackelberg games42
Numerical approach to solve imprecisely defined systems using Inner Outer Direct Search optimization technique42
Numerical simulation of time variable fractional order mobile–immobile advection–dispersion model based on an efficient hybrid numerical method with stability and convergence analysis42
Complex dynamics and chaos control in a fractional-order discrete prey-predator model incorporating an Ivlev functional response and Allee effect42
Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions41
Spatiotemporal dynamics of a non-smooth reaction–diffusion Wilson neuron model with time delay41
Pricing natural-disasters and climate-change risks: Insights from CAPM with self and externally excited jumps40
A Hermite spline model for data regression39
Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Dirac equation39
Regional boundary observability for Riemann–Liouville linear fractional evolution systems39
Modeling the effect of non-pharmaceutical measures and vaccination on the spread of two variants of COVID-19 in India39
A new moment-independent uncertainty importance measure based on cumulative residual entropy for developing uncertainty reduction strategies39
Optimal error estimate of a linearized FEM based on the Lagrange multiplier approach for the Landau–Lifshitz equation39
Limit cycles of homogeneous polynomial Kukles differential systems38
Stochastic transport with Lévy noise fully discrete numerical approximation38
Dynamics of a stockless market through piecewise smooth models38
Editorial Board37
New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications37
An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem36
Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally36
An Innovative approach towards image encryption by using novel PRNs and S-boxes Modeling techniques36
Efficient color image steganography based on new adapted chaotic dynamical system with discrete orthogonal moment transforms36
Can adaptive prey refuge facilitate species coexistence in Bazykin’s prey–predator model?36
A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations35
News of IMACS35
Improved salp swarm algorithm combined with chaos35
A class of PSO-tuned controllers in Lorenz chaotic system34
Classification methods based on κ-logistic models34
Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach34
Effects of real random perturbations on Monod and Haldane consumption functions in the chemostat model34
News of IMACS34
Integration of the stochastic underdamped harmonic oscillator by the θ34
Modified Levin formulation for highly oscillatory Bessel integral transforms34
A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with 34
The numerical solution of the free-boundary cell motility problem34
Global well-posedness and dynamics of spatial diffusion HIV model with CTLs response and chemotaxis33
Enriched physics-informed neural networks for dynamic Poisson-Nernst-Planck systems33
Isogeometric simulation of acoustic radiation33
Short-term electricity price forecasting through demand and renewable generation prediction33
Numerical analysis of a positivity-preserving finite element method for fractional Fisher–KPP equation32
Complex dynamics of a four-species food web model with nonlinear top predator harvesting and fear effect32
Linearising anhysteretic magnetisation curves: A novel algorithm for finding simulation parameters and magnetic moments32
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 therapy32
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion–wave equation31
A chaos study of fractal–fractional predator–prey model of mathematical ecology31
A note on a class of Caputo fractional differential equations with respect to another function31
Influence of price elasticity of demand on monopoly games under different returns to scale31
Some bivariate options pricing in a regime-switching stochastic volatility jump-diffusion model with stochastic intensity, stochastic interest and dependent jump31
The Ohm’s Law for (non-symmetric) three-phase three-wire electrical circuits: From a complex-valued to a geometric algebra approach31
Numerical solutions of the HIV infection model of CD4(+) cells by Laguerre wavelets30
Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation30
An agile modeling framework for population dynamics30
Modeling metastatic tumor evolution, numerical resolution and growth prediction30
A 30
Dynamic behavior of a stochastic HIV model with latent infection and Ornstein–Uhlenbeck process30
Global stability of a delayed predator–prey system with fear and Holling-type II functional response in deterministic and stochastic environments30
Time-delay Hammerstein system identification using modified cross-correlation method and variable stacking length multi-error algorithm30
Editorial Board30
An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm–Liouville problems29
Unified algorithms for distributed regularized linear regression model29
IMACS Calendar of Events29
News of IMACS28
An efficient Newton-like conjugate gradient method with restart strategy and its application28
Fourier-informed knot placement schemes for B-spline approximation28
Optimal control study on Michaelis–Menten kinetics — A fractional version28
Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations28
IMACS Calendar of Events28
Stencil and kernel optimisation for mesh-free very high-order generalised finite difference method27
Adaptive refinement in incompressible fluid flow simulation based on THB-splines-powered isogeometric analysis27
Improved salp swarm algorithm based on Newton interpolation and cosine opposition-based learning for feature selection27
IMACS Calendar of Events27
Robust grid forming control for black start operation of diode rectifier based wind power plants27
Retrieval of surface and atmospheric parameters from high resolution infrared sensors27
Robust RRE technique for increasing the order of accuracy of SPH numerical solutions27
Robust regulation of blood glucose for Type-1 diabetes using insulin infusion limiter-based feedback control via artificial Pancreas27
Impact of COVID-19 lockdown in short-term load forecasting27
Pressure Poisson splitting scheme for Navier–Stokes Equations with open boundaries27
Preface Electrimacs 2022 – Engineering27
Editorial Board26
Stable and decoupled schemes for an electrohydrodynamics model26
Barycentric interpolation collocation algorithm to solve fractional differential equations26
Spatiotemporal dynamics and bifurcation analysis on network and non-network environments of a dangerous prey and predator model26
Dual-population two-archive evolutionary framework for constrained multi-objective optimization26
Role of multiple time delays on a stage-structured predator–prey system in a toxic environment26
Analysis of repairable discrete-time queueing systems with negative customers, disasters, balking customers and interruptible working vacations under Bernoulli schedule26
Dynamical behaviors of the solution to a periodic initial–boundary value problem of the generalized Rosenau-RLW-Burgers equation26
Spatial movement with memory-induced cross-diffusion effect and toxin effect in predator25
Bistability in a predator–prey model characterized by the Crowley–Martin functional response: Effects of fear, hunting cooperation, additional foods and nonlinear harvesting25
Dynamics of a stochastic prey–predator eco-epidemiological system with distributed delay and impulsive perturbations25
Novel singularity-free IDA-PBC design method for stable interconnection of boost converters25
A salp swarm algorithm based on Harris Eagle foraging strategy25
Numerical analysis of a nonlinear age-structured HBV model with saturated incidence and spatial diffusion25
Reliability analysis and optimization for a redundant system with dependent failures and variable repair rates25
Data-driven approach to shallow water equation in ocean engineering: Multi-soliton solutions, chaos, and sensitivity analysis25
Small-signal stability analysis of mixed power system integrating grid forming and following inverters-based resources24
Finding the minimum k-weighted dominating sets using heuristic algo24
A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations24
New families of soliton solutions and dynamics of nonlinear traveling waves for the Whitham–Broer–Kaup equation24
A corrected Crank–Nicolson scheme for the time fractional parabolic integro-differential equation with nonsmooth data24
Proposal and validation of an optimization method using Monte Carlo method for multi-objective functions24
Generation of fractals via iterated function system of Kannan contractions in controlled metric space24
Event-triggered control design with varying gains for polynomial fuzzy systems against DoS attacks24
Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators24
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 method24
Output tracking and disturbance rejection control for switched systems under asynchronous switching24
Superconvergent spectral methods for system of modified Volterra Integral Equations24
Strong convergence of an explicit numerical approximation for n-dimen23
Efficient spectral methods for the fourth-order elliptic eigenvalue problems23
Iteratively Sustained Sliding Mode Control based energy management in a DC Microgrid23
IMACS Calendar of Events23
Grey wolf algorithm for cost optimization of cloud computing repairable system with N23
Bounded real lemmas and exponential H23
Bifurcation analysis of an SIR model considering hospital resources and vaccination23
Collocation approaches to the mathematical model of an Euler–Bernoulli beam vibrations23
An RBF-based method with optimal point selection for solving two-dimensional multi-term time-fractional PIDEs with weakly singular kernels23
A partial-integrable numerical simulation scheme of the derivative nonlinear Schrödinger equation23
IMACS Calendar of Events22
IMACS Calendar of Events22
Multi-force effect on fluid flow, heat and mass transfer, and entropy generation in a stratified fluid-saturated porous enclosure22
A coupled marching method for Cauchy problems of the Helmholtz equation in complex waveguides22
Jump–diffusion productivity models in equilibrium problems with heterogeneous agents22
Multiscale malaria models and their uniform in-time asymptotic analysis22
A space–time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media22
Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity22
Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-221
Modeling of the optimal deceleration for the rotatory motion of asymmetric rigid body21
Simulation methods and error analysis for trawl processes and ambit fields21
Statistical approach for highest precision numerical differentiation21
Basic reproduction number of a deterministic and stochastic predator–prey model with novel fear functions21
An optimal and efficient framework for the construction of nonlinear components based on a polynomial ring21
Linear quadratic optimal control of stochastic 2-D Roesser models21
Multiple bifurcations and managing chaos: A discretized ratio-dependent Holling–Tanner predator–prey model with Allee effect in prey21
Mathematical study of Algae as a bio-fertilizer using fractal–fractional dynamic model21
A combined power activation function based convergent factor-variable ZNN model for solving dynamic matrix inversion21
Predefined-time synchronization for competitive neural networks with different time scales and external disturbances21
Stability of HIV dynamic model with constraint interval parameters depending on antiretroviral treatment21
Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media21
Discrete pendulum equation21
A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada–Kotera equation21
Discretised general fractional derivative21
Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis21
Solving the permutation flow shop scheduling problem with sequence-dependent setup time via iterative greedy algorithm and imitation learning20
Characterization of rational solutions of a KdV-like equation20
Efficient estimation for the Greeks of Asian options under mixed fractional Brownian motion20
An efficient algorithm for pricing reinsurance contract under the regime-switching model20
Analytical computation of conditional moments in the extended Cox–Ingersoll–Ross process with regime switching: Hybrid PDE system solutions with financial applications20
Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model20
Non-fragile control of discrete-time conic-type nonlinear Markovian jump systems under deception attacks using event-triggered scheme and Its application20
Meshfree methods for the variable-order fractional advection–diffusion equation20
Exploring dynamical properties of a Type 1 diabetes model using sensitivity approaches20
Numerical solution of nonlinear Fredholm–Hammerstein integral equations with logarithmic kernel by spline quasi-interpolating projectors20
Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing20
IMACS Calendar of Events20
Solving 2nd order BVPs in planar irregular domains19
A spectral collocation scheme for the two dimensional flow of a regularized viscoplastic fluid: Numerical results and comparison with analytical solution19
Application of χ 19
Vertically averaged multi-constituent flow simulations of geological CO2 sequestration — Stabilized finite element methods and quadratic elements19
Testing for proportions when data are classified into a large number of groups19
News of IMACS19
Dynamics analysis of a predator–prey model with nonmonotonic functional response and impulsive control19
News of IMACS19
Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus19
PDE models for vegetation biomass and autotoxicity19
Survivability analysis for a three-dimensional predator–prey model with Markov switching19
Prediction of bio-heat and mass transportation in radiative MHD Walter-B nanofluid using MANFIS model19
A novel comparative fractional-order modeling of omicron dynamics: Vaccination impact and control strategies in the USA19
Effect of cross-border migration on the healthcare system of a destination community: Insights from mathematical modelling of COVID-19 in a developing country19
News of IMACS19
SCW-iterative-computational method for solving a wide class of nonlinear fractional optimal control problems with Caputo derivatives19
Total controllability results for impulsive fractional integro-differential systems of order 19
Numerical dynamics for discrete nonlinear damping Korteweg–de Vries equations19
Higher-degree super-smooth 19
Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays19
Stochastic dynamics of an SIS epidemiological model with media coverage18
An (α, β, γ) distance transformation for the numerical computation of 3D domain integrals directly in transient boundary element analysis18
Master–slave synchronization for glucose–insulin metabolism of type-1 diabetic Mellitus model based on new fractal–fractional order derivative18
The study of non-constant steady states and pattern formation for an interacting population model in a spatial environment18
Three types of solitons propagating in saturable nonlinear media18
A parallel image encryption algorithm using intra bitplane scrambling18
A time two-grid algorithm for the two dimensional nonlinear fractional PIDE with a weakly singular kernel18
Capacity estimation of Lithium-ion batteries through a Machine Learning approach18
Mathematical modeling of tumor growth and treatment: Triple negative breast cancer18
Use of Ishikawa and Picard–Ishikawa iterations with 18
Dynamics of Walters’ B fluid due to periodic wave in a convectively heated channel with internal heat generation18
Option pricing under multifactor Black–Scholes model using orthogonal spline wavelets18
A reaction–diffusion epidemic model with virus mutation and media coverage: Theoretical analysis and numerical simulation17
Fractional truncated exponential method for linear fractional optimal control problems17
Editorial Board17
Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function17
A parsimonious dynamic mixture for heavy-tailed distributions17
Boomerang aerodynamic ellipse optimizer: A human game-inspired optimization technique for numerical optimization and multilevel thresholding image segmentation17
Modeling the effects of obesity on a tumor-immune model with combined therapy17
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein–Uhlenbeck process17
Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks17
News of IMACS17
Observer-based event-triggered formation control for connected vehicles under DoS attacks17
Efficient methods and analysis for computing integrals of composite oscillatory functions17
On collocation-Galerkin method and fractional B-spline functions for a class of stochastic fractional integro-differential equations17
Solvability of a generalized ψ-Riemann–Liouville fractional BVP unde17
Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution diffusion modeling17
Second Edition of the International Conference on Mathematical and Computational Modelling, Approximation and Simulation: New trends, recent developments and applications in environment and natural re17
News of IMACS17
Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms17
Image hiding algorithm based on local binary pattern and compressive sensing17
Dynamical behaviors and abundant optical soliton solutions of the cold bosonic atoms in a zig-zag optical lattice model using two integral schemes17
A simple chaotic system using signum function16
Simulating spectral images of natural waters and submerged objects from a bird’s-eye view16
A massively parallel implementation of multilevel Monte Carlo for finite element models16
Development and performance evaluation of fully coupled finite volume solvers using Newton iteration for mixed convection flow problems16
Editorial Board16
A multiscale domain decomposition approach for parabolic equations using expanded mixed method16
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