Mathematics and Computers in Simulation

Papers
(The TQCC of Mathematics and Computers in Simulation is 9. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem882
Precise calculation of electrical capacitance by means of quadruple integrals in method of moments technique185
Impact of anthropogenic emissions of carbon dioxide and related temperature rise on wildlife population: A modeling study159
Stability, bifurcation and chaos of a discrete-time pair approximation epidemic model on adaptive networks139
Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive115
Analytical and numerical dissipativity for the space-fractional Allen–Cahn equation112
Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy110
Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions105
Coarse-grained methods for heterogeneous vesicles with phase-separated domains: Elastic mechanics of shape fluctuations, plate compression, and channel insertion98
Performance analyses of mesh-based local Finite Element Method and meshless global RBF Collocation Method for solving Poisson and Stokes equations89
Stochastic SEIR epidemic models with virus mutation and logistic growth of susceptible populations85
A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves81
Finite difference discretization for one-dimensional higher-order integral fractional Laplacian and its application79
Global μ-stabilization of quaternion-valued inertial BAM neural netwo78
Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution77
News of IMACS74
An effective numerical approach for solving a system of singularly perturbed differential–difference equations in biology and physiology74
Editorial Board73
Ensemble feature selection via CoCoSo method extended to interval-valued intuitionistic fuzzy environment71
An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations70
A second-order numerical method for nonlinear variable-order fractional diffusion equation with time delay67
Model order reduction strategies for weakly dispersive waves67
New synchronization results for a class of nonlinear discrete-time chaotic systems based on synergetic observer and their implementation67
Pattern formation and delay-induced instability in a Leslie–Gower type prey–predator system with Smith growth function66
A systematic design methodology for DC-link voltage control of single phase grid-tied PV systems65
Dynamical complexity of a delay-induced eco-epidemic model with Beddington–DeAngelis incidence rate64
Solving a singular beam equation by the method of energy boundary functions64
Longitudinal model identification of multi-gear vehicles using an LPV approach64
An analytical method of switching waveform design for selective harmonic elimination63
Modeling the effects of baculovirus to control insect population in agricultural fields63
Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case61
IMACS Calendar of Events60
Editorial Board57
On the validity of numerical simulations for control-theoretic AQM schemes in computer networks55
Spatiotemporal patterns in a diffusive resource–consumer model with distributed memory and maturation delay55
Finite time passivity analysis for Caputo fractional BAM reaction–diffusion delayed neural networks54
An iterated greedy algorithm for finding the minimum dominating set in graphs54
A uniformly convergent quadratic B-spline based scheme for singularl54
Quantization of stochastic volatility models: Numerical tests and an open source implementation53
Enhancing image data security with chain and non-chain Galois ring structures52
Multi-robot co-operation for stick carrying application using hybridization of meta-heuristic algorithm52
A novel meshless method for time Caputo-space Riesz fractional Schrödinger equation52
A boundary shape function iterative method for solving nonlinear singular boundary value problems50
XVA in a multi-currency setting with stochastic foreign exchange rates50
Change point estimation in an M/M49
Heat transfer analysis of water-ethylene glycol (50:50) based nanofluid over a cone with the influences of magnetic field and uniform heat generation/absorption48
Longitudinal strain waves propagating in an infinitely long cylindrical rod composed of generally incompressible materials and its Jacobi elliptic function solutions48
News of IMACS48
High order discretization methods for spatial-dependent epidemic models48
Application of modified extended tanh method in solving fractional order coupled wave equations47
Finite element analysis of nonlinear reaction–diffusion system of Fitzhugh–Nagumo type with Robin boundary conditions47
Investigation of controllability and stability of fractional dynamical systems with delay in control47
New stability results for bidirectional associative memory neural networks model involving generalized piecewise constant delay46
Predicting the production and consumption of natural gas in China by using a new grey forecasting method45
Homogeneity problem for basis expansion of functional data with applications to resistive memories44
Improvement of heat transfer mechanism through a Maxwell fluid flow over a stretching sheet embedded in a porous medium and convectively heated44
Editorial Board44
Best proximity points of (EP)-operators with qualitative analysis and simulation42
Editorial Board41
Finite-time event-triggered approach for recurrent neural networks with leakage term and its application41
Conservative finite difference methods for the Boussinesq paradigm equation40
Modified hybrid B-spline estimation based on spatial regulator tensor network for burger equation with nonlinear fractional calculus40
Editorial Board40
A novel dimensionality reduction approach by integrating dynamics theory and machine learning40
Exploiting dynamic modeling, parameter identification, and power electronics to implement a non-dissipative Li-ion battery hardware emulator40
Off-lattice interfacial force scheme for simulation of multiphase flows using meshless lattice Boltzmann method40
On the design of the channel region in 4H-SiC JBS diode through an analytical model of the potential barrier39
IMACS Calendar of Events39
Influence of advection in box models describing thermohaline circulation39
ADI+MDA orthogonal spline collocation for the pressure Poisson reformulation of the Navier–Stokes equation in two space variables39
Viral capsid nanoindentation simulations using octree-type data structures38
IMACS Calendar of Events38
Non-stationary grid generation algorithm for deformed volumes of revolution38
Using a meshless method to assess the effect of mechanical loading in angiogenesis38
Dynamic behaviors in a Cournot duopoly model with knowledge spillover effect based on constant conjectural variation37
Bifurcations and multistability in a virotherapy model with two time delays37
On the choice of denominator functions and convergence of NSFD schemes for a class of nonlinear SBVPs37
IMACS Calendar of Events37
IMACS Calendar of Events36
A semi-Lagrangian mixed finite element method for advection–diffusion variational inequalities36
Editorial Board36
Graphical predetermination of optimal machine designs by iso-performance configuration modeling35
Improved butterfly optimization algorithm applied to prediction of combined cycle power plant35
Editorial Board34
Triangular Bernstein moment-based identification of algebraic curves34
News of IMACS33
Numerical approach to solve imprecisely defined systems using Inner Outer Direct Search optimization technique33
News of IMACS33
IMACS Calendar of Events32
On three types of soft fuzzy coverings based rough sets32
Editorial Board32
Reduced-order modeling for Ablowitz–Ladik equation32
A COPRAS-based Approach to Multi-Label Feature Selection for Text Classification31
A novel hybrid technique to obtain the solution of generalized fractional-order differential equations31
IMACS Calendar of Events31
Influence of environmental fluctuations on Hepatitis C transmission30
Improving performance in swarm robots using multi-objective optimization30
Extended splitting methods for systems of three-operator monotone inclusions with continuous operators30
Railway safety through predictive vertical displacement analysis using the PINN-EKF synergy30
Consistent asset modelling with random coefficients and switches between regimes30
A physical tire model for real-time simulations30
Approximate solution of Fredholm integral equations of the second kind through multinode Shepard operators30
Low conservative stability criteria for discrete-time Lur’e systems with sector and slope constrained nonlinearities30
Global stability analysis of an unemployment model with distributed delay29
Convective stability of a permeable nanofluid inside a horizontal conduit: Fast chemical reactions29
A modified two-step optimal iterative method for solving nonlinear models in one and higher dimensions28
Integral transforms and probability distributions for a certain class of Fox–Wright type functions and its applications28
Non-fragile state estimation for memristive cellular neural networks with proportional delay28
A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations28
A numerical model for the calculation of electromagnetic interference from power lines on nonparallel underground pipelines28
Complex pattern formations induced by the presence of cross-diffusion in a generalized predator–prey model incorporating the Holling type functional response and generalization of habitat complexity e28
Direct integration of the third-order two point and multipoint Robin type boundary value problems28
Three-phase bidirectional active split source inverter for automotive traction application27
Generalized multiscale discontinuous Galerkin method for convection–diffusion equation in perforated media27
Role of linear and non-linear thermal radiation over the rotating porous disc with the occurrence of non-uniform heat source/sink: HAM analysis27
Galerkin finite element method for a two-dimensional tempered time–space fractional diffusion equation with application to a Bloch–Torrey equation retaining Larmor precession27
Global dynamics of a chemotaxis system with toxicity in invasive species27
Dynamical behavior and Poincare section of fractional-order centrifugal governor system27
A new fractional derivative operator with generalized cardinal sine kernel: Numerical simulation27
Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials26
Preface ELECTRIMACS 2022 – Energy26
A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease26
Application of Monte Carlo stochastic optimization (MOST) to deep learning26
Bifurcation dynamics of a delayed chemostat system with spatial diffusion25
Immersed boundary simulations of fluid shear-induced deformation of a cantilever beam25
On the three-component mixture of exponential distributions: A Bayesian framework to model data with multiple lower and upper outliers25
Analysis of nonlinear Timoshenko–Ehrenfest beam problems with von Kármán nonlinearity using the Theory of Functional Connections25
A rational-expansion-based method to compute Gabor coefficients of 2D indicator functions supported on polygonal domain25
Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults25
Distributed adaptive tracking consensus control for a class of heterogeneous nonlinear multi-agent systems25
An accurate and efficient numerical solution for the generalized Burgers–Huxley equation via Taylor wavelets method: Qualitative analyses and Applications25
Computational hemodynamics and thermal analysis of laminar blood flow for different types of hypertension25
Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator–prey system25
A deterministic numerical scheme for an electron heat transport model25
A new approach to deal with C25
Photovoltaic module series resistance identification at its maximum power production24
Nonfragile state estimation for semi-Markovian switching CVNs with general uncertain transition rates: An event-triggered scheme24
Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional24
A virtual bus parallel differential power processing configuration for photovoltaic applications24
New characterizations of the (discrete) Lindley distribution and their applications24
Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks24
Optimization of unconstrained problems using a developed algorithm of spectral conjugate gradient method calculation24
Valuation of barrier and lookback options under hybrid CEV and stochastic volatility23
Theoretical guarantees for neural control variates in MCMC23
Mapping techniques for collocation method of time-fractional convection–diffusion equations in domains with cracks23
Analysis and simulation of a delayed HIV model with reaction–diffusion and sliding control23
An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows23
A finite element approximation to a viscoelastic Euler–Bernoulli beam with internal damping23
Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy23
A class of nonconvex fuzzy optimization problems under granular differentiability concept23
An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag23
Ulam–Hyers stability for an impulsive Caputo–Hadamard fractional neutral stochastic differential equations with infinite delay23
Non-negativity-preserving and maximum-principle-satisfying finite difference methods for Fisher’s equation with delay22
A decoupled, linearly implicit and high-order structure-preserving scheme for Euler–Poincaré equations22
Bifurcation analysis of waning-boosting epidemiological models with repeat infections and varying immunity periods22
Dynamics of a discrete-time mixed oligopoly Cournot-type model with three time delays22
A general formulation of reweighted least squares fitting22
Qualitative analysis of TB transmission dynamics considering both the age since latency and relapse22
A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations22
A representation and comparison of three cubic macro-elements22
On the long-time behavior of the continuous and discrete solutions of a nonlocal Cahn–Hilliard type inpainting model22
Nonstandard finite difference schemes for some epidemic optimal control problems22
A model of Plasmodium vivax malaria with delays: Mathematical analysis and numerical simulations22
Generalized finite integration method for 2D elastostatic and elastodynamic analysis22
Disturbance observer-based event-triggered impulsive control for nonlinear systems with unknown external disturbances22
A conservative Allen–Cahn model for a hydrodynamics coupled phase-field surfactant system22
Effect of fear with saturated fear cost and harvesting on aquatic food chain model (plankton–fish model) in the presence of nanoparticles22
Dynamic analysis of a fast slow modified Leslie–Gower predator–prey model with constant harvest and stochastic factor21
Positivity and convergence of the balanced implicit method for the nonlinear jump-extended CIR model21
Extended finite element method in mixed-hybrid model of singular groundwater flow21
Clustered entropy for edge detection21
Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS21
Topological modelling of gas networks for co-simulation applications in multi-energy systems21
Second-order error analysis of a corrected average finite difference scheme for time-fractional Cable equations with nonsmooth solutions21
An improved mathematical method for the identification of fuel cell impedance parameters based on the interval arithmetic21
Walsh functions, scrambled (0,21
Time-dependent solution for natural convection in a porous enclosure using the Darcy–Lapwood–Brinkman model21
Numerical analysis for a thermoelastic diffusion problem in moving boundary20
Dual strategies for solving the Stokes problem with stick–slip boundary conditions in 3D20
On solving elliptic boundary value problems using a meshless method with radial polynomials20
Multiscale stochastic elasticity of variance for options and equity linked annuity; A Mellin transform approach20
Bifurcation analysis of a new aquatic ecological model with aggregation effect20
Problems with uncertain hysteresis operators and homogenization20
Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin20
A class of compact finite difference schemes for solving the 2D and 3D Burgers’ equations20
Numerical solution of partial integro-differential equation with a weakly singular kernel based on Sinc methods20
Energy-preserving scheme for the nonlinear fractional Klein–Gordon Schrödinger equation20
An intelligent equation for methane hydrate growth kinetics20
A modified Stenger’s quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound20
Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain20
Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping20
Importance sampling imputation algorithms in quantile regression with their application in CGSS data20
Regional boundary observability for Riemann–Liouville linear fractional evolution systems19
Dependence properties of scrambled Halton sequences19
Numerical simulation of time variable fractional order mobile–immobile advection–dispersion model based on an efficient hybrid numerical method with stability and convergence analysis19
Quasi-interpolation for multivariate density estimation on bounded domain19
Shape preserving rational cubic trigonometric fractal interpolation functions19
Multiscale control of Stackelberg games19
M-lump solutions to the (2+1)-dimensional generalized Calogero–Bogoyavlenshii–Schiff equation19
Topology optimization using a natural neighbour meshless method combined with a bi-directional evolutionary algorithm19
Series form of the characteristic functions of scale mixtures of multivariate skew-normal distributions19
Time-dependent and Caputo derivative order-dependent quasi-uniform synchronization on fuzzy neural networks with proportional and distributed delays19
Dynamic analysis of Hashimoto’s Thyroiditis bio-mathematical model using artificial neural network18
Rich dynamics of a reaction–diffusion Filippov Leslie–Gower predator–prey model with time delay and discontinuous harvesting18
An innovative fractional grey system model and its application18
Discretisation of the Hough parameter space for fitting and recognising geometric primitives in 3D point clouds18
Type-2 fuzzy initial value problems under granular differentiability18
Modelling the prudent predation in predator–prey interactions18
SoC-based embedded real-time simulation of mismatched photovoltaic strings18
Dynamics of a Leslie–Gower type predator–prey system with herd behavior and constant harvesting in prey18
Deep learning-based forecasting of aggregated CSP production18
Complex dynamics of an SIHR epidemic model with variable hospitalization rate depending on unoccupied hospital beds18
Modeling of photovoltaic power uncertainties for impact analysis on generation scheduling and cost of an urban micro grid18
A space-time generalized finite difference scheme for long wave propagation based on high-order Korteweg-de Vries type equations18
RETRACTED: Motion of hybrid nanofluid (MnZnF17
New stable, explicit, second order hopscotch methods for diffusion-type problems17
A comparison study of the efficiency and accuracy of IEFG in solving elasticity problems using different nodal integration schemes17
Influence of the load angle on magnetic radial forces and torque ripple of a low power permanent magnet synchronous machine17
IMACS Calendar of Events17
New DY-HS hybrid conjugate gradient algorithm for solving optimization problem of unsteady partial differential equations with convection term17
A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities17
Numerical simulation of Emden–Fowler integral equation with Green’s function type kernel by Gegenbauer-wavelet, Taylor-wavelet and Laguerre-wavelet collocation methods17
Inference for constant-stress Weibull competing risks model under generalized progressive hybrid censoring17
Existence of a weak solution to a steady 2D fluid-1D elastic structure interaction problem with Tresca slip boundary condition17
Photovoltaic single-diode model parametrization. An application to the calculus of the Euclidean distance to an 17
Dynamics of a stochastic non-autonomous phytoplankton–zooplankton system involving toxin-producing phytoplankton and impulsive perturbations17
Existence of homoclinic orbit of Shilnikov type and the application in Rössler system17
Modeling and solving of knapsack problem with setup based on evolutionary algorithm17
News of IMACS17
An efficient collocation method based on Hermite formula and cubic B-splines for numerical solution of the Burgers’ equation16
Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects16
Transient analysis and ANFIS computing of unreliable single server queueing model with multiple stage service and functioning vacation16
Exploring the behavior of malware propagation on mobile wireless sensor networks: Stability and control analysis16
Altruistic population algorithm: A metaheuristic search algorithm for solving multimodal multi-objective optimization problems16
Cubic spline quasi-interpolation operator to numerically solve integro-differential equations with weakly singular kernels16
Two effective methods for solution of the Gardner–Kawahara equation arising in wave propagation16
Algorithm for sequences exploration and optimization of a Multi-Active-Bridge16
Lidstone-based collocation splines for odd-order BVPs16
Spectral and Haar wavelet collocation method for the solution of heat generation and viscous dissipation in micro-polar nanofluid for MHD stagnation point flow16
Fixed-time consensus control for uncertain heterogeneous multi-agent systems with high-order dynamics and time-varying delay under generic topologies16
An uncertain bi-objective mean-entropy model for portfolio selection with realistic factors16
Resolution of the bidimensional shallow water equations with horizontal temperature gradients by a well Balanced Roe scheme16
A Susceptible–Infectious (SI) model with two infective stages and an endemic equilibrium16
Computing parameter planes of iterative root-finding methods with several free critical points16
Monotonicity theorem for the uncertain fractional differential equation and application to uncertain financial market16
A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation16
Dynamical complexity of pricing and green level for a dyadic supply chain with capital constraint16
Dynamical analysis for the impact of asymptomatic infective and infection delay on disease transmission16
Interaction of an acceleration wave with a characteristic shock in two-phase real modified Chaplygin model containing a variable source term16
Long time behavior of a Lotka–Volterra competition system with two dynamical resources and density-dependent motility16
0.13887119293213