Iranian Journal of Numerical Analysis and Optimization

Iranian Journal of Numerical Analysis and Optimization

 

SCImago Journal & Country Rank           Journal Metrics

Cite Score  (2024)   1.0
SJR (2025)
  0.294
SNIP (2024)
  0.251
SJR   Q3
MSRT Grade    International
Publication  format   Online
Number of Issues   39
Number of Articles   426
Number of Contributors   839
Number of Reviewers   2429
Submission Count   1,565
Accept Count   406
Reject Count   939
Acceptance Rate   26%
Article View   13,359,282
PDF Download    7,024,001
Time to Accept (Days)   108

 

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CALL FOR PAPERS

Special Issue on

Machine Learning in Numerical Analysis and Optimization:
Theory and Computation

Iranian Journal of Numerical Analysis and Optimization (IJNAO)

Scopus Indexed  •  Indexed in DOAJ and zbMATH Open  •  No Article Processing Charge (APC)  •  Open Access

Call for Papers

The Iranian Journal of Numerical Analysis and Optimization (IJNAO) is pleased to announce a Special Issue entitled “Machine Learning in Numerical Analysis and Optimization: Theory and Computation.”

The rapid development of machine learning and artificial intelligence is creating new opportunities for the design, analysis, and implementation of advanced numerical and optimization methods. At the same time, numerical analysis and mathematical optimization provide essential theoretical foundations for assessing the accuracy, stability, convergence, robustness, efficiency, and reliability of learning-based computational methods.

This Special Issue focuses on recent theoretical, methodological, and computational advances in machine learning for numerical analysis and optimization, with particular emphasis on mathematically grounded, reliable, and efficient approaches for scientific computing.

We welcome high-quality original research articles, methodological contributions, and comprehensive review papers presenting new theoretical results, numerical algorithms, computational frameworks, or applications. Contributions that combine machine-learning techniques with established numerical or optimization methods, as well as those providing mathematical analysis of learning-based computational approaches, are particularly encouraged.

Guest Editors

Professor Ali Emrouznejad

Director of the Centre for Business Analytics in Practice

Surrey Business School

University of Surrey, UK

a.emrouznejad@surrey.ac.uk

Professor Milan Hladík

Numerical Analysis, Scientific Computing & Optimization

Charles University, Czech Republic

hladik@kam.mff.cuni.cz

Professor Reza Mokhtari

Numerical Analysis, Scientific Machine Learning

Isfahan University of Technology, Iran

mokhtari@iut.ac.ir

Professor Majid Soleimani-damaneh

Optimization, Operations Research & Machine Learning

University of Tehran, Iran

m.soleimani.d@ut.ac.ir

Dr. Max Winkler

Numerical Analysis, Scientific Computing & PDEs

Technische Universität Chemnitz, Chemnitz, Germany

max.winkler@mathematik.tu-chemnitz.de

 

Scope and Topics

Topics of interest include, but are not limited to:

·  Machine learning-assisted numerical methods

·  Scientific Machine Learning (SciML)

·  Neural networks for numerical computation and approximation

·  Physics-informed neural networks (PINNs) and related methods

·  Neural operators and operator-learning methods, including DeepONet-type approaches

·  Data-driven numerical methods for differential and integral equations

·  AI-accelerated methods for integer- and fractional-order ODEs, PDEs, and integral equations

·  Mathematical analysis of learning-based numerical methods, including error analysis, stability, convergence, and robustness

·  Numerical approximation and approximation theory for machine-learning models

·  Adaptive, multiscale, and data-driven discretization methods

·  Machine learning for mesh generation, refinement, and adaptive computation

·  Numerical linear algebra combined with machine learning

·  Iterative solvers, preconditioning, eigensolvers, and low-rank methods enhanced by learning

·  Tensor methods and high-dimensional numerical computation

·  Reduced-order models and surrogate modeling

·  Inverse problems, parameter identification, and data assimilation

·  Uncertainty quantification and Bayesian computational methods

·  High-performance and parallel scientific computing enhanced by machine learning

·  Learning-based optimization algorithms

·  Machine learning for mathematical programming and numerical optimization

·  Machine-learning-enhanced metaheuristic algorithms

·  Deep learning and reinforcement learning for optimization and decision-making

·  Automated algorithm selection and parameter or hyperparameter optimization

·  Large-scale and high-dimensional optimization using machine learning

·  Convex and nonconvex optimization with learning-based techniques

·  Bayesian optimization and multi-fidelity optimization

·  Optimization under uncertainty

·  Large language models (LLMs) for numerical computation, mathematical reasoning, algorithm design, solver selection, and optimization

We also consider novel applications in computational physics, engineering, finance, healthcare, energy, climate modelling, logistics, and other scientific and technological fields. We particularly encourage studies supported by sound mathematical formulation, theoretical analysis, numerical validation, or demonstrable computational advantages, rather than purely empirical applications of standard machine-learning techniques.

Instructions for Authors

Authors should submit a cover letter and manuscript via the journal’s online submission site. Manuscripts submitted after the deadline may not be considered for the special issue and, if accepted, may be transferred to a regular issue.

Please see the Author instructions on the website. When submitting, please select the special issue’s title “SI: NAO-ML” to ensure that it will be reviewed for this special issue (https://ijnao.um.ac.ir).

Submitted papers must be original and should not have been previously published or currently under consideration for publication elsewhere. All papers will undergo a rigorous peer review process managed by the Guest Editors. Accepted papers will be published online individually before the print publication.

Important Dates

Date

Milestone

1 October 2026

Submission open

31 May 2027

Submission close

31 July 2027

Notification of status and acceptance of paper

30 September 2027

Revised manuscripts

31 October 2027

Final version of paper

Submission website: https://ijnao.um.ac.ir

Early submission is recommended: the referee process starts once the paper is received; accepted papers will be published individually online as they are accepted.

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The Iranian Journal of Numerical Analysis and Optimization (IJNAO) publishes original papers of high scientific value in all areas of numerical analysis and optimization. All research articles accepted and published by IJNAO are immediately freely available online to read, download, and share, without any subscription charges or registration barriers.

 IJNAO is indexed in

    

Current Issue: Volume 16, Issue 4 - Serial Number 39, December 2026, Pages 1189-1621 

Mathematical modeling and control strategies for meningitis transmission

Pages 1401-1431

10.22067/ijnao.2026.96797.1789

Mohamed Baroudi, Benyounes Bettioui, Mohamed Belam, Abderrahim Labzai

Keywords Cloud

  • optimal control
  • Stability
  • Stability analysis
  • error analysis
  • Operational matrix
  • Convergence
  • Collocation method
  • Convergence Analysis
  • Caputo fractional derivative
  • Global convergence
  • Radial basis functions
  • Mathematical model
  • Numerical simulation
  • Caputo derivative
  • Uniform convergence
  • Optimal control problem
  • Hopf bifurcation
  • Nonlinear equations
  • Genetic algorithm
  • sensitivity analysis
  • Unconstrained optimization
  • Singular perturbation
  • Mathematical modeling
  • Covid-19
  • Conjugate Gradient Method
  • Iterative method
  • Singularly perturbed problem
  • Chebyshev polynomials
  • Constrained optimization
  • Data Envelopment Analysis
  • Pontryagin maximum principle
  • Multi-Objective Optimization
  • Fixed point
  • Bifurcation
  • Pontryagin’s maximum principle
  • Basic reproduction number
  • Global stability
  • Fractional differential equation
  • Singular perturbation problem
  • order of convergence
  • Line search
  • Boundary value problems
  • Interpolation
  • Optimal control problems
  • fractional derivative
  • Runge-Kutta methods
  • Accuracy
  • measure theory
  • Time delay
  • Partial differential equations
  • boundary layer
  • Numerical Solution
  • Iterative methods
  • Machine learning
  • Volterra integral equation
  • Ordinary differential equation
  • simulation
  • Fractional differential equations
  • Weak solution
  • Stochastic Gradient Descent
  • collocation
  • finite difference method
  • Conformable fractional derivative
  • Inverse source problem
  • Legendre wavelet
  • Image denoising
  • Neural Network
  • Particle swarm optimization
  • Wave equation
  • Operational matrices
  • Singularly perturbed
  • Shishkin mesh
  • Penalty method
  • Nondominated
  • sine-Gordon equation
  • Equilibrium condition
  • Optimal control theory
  • Drilling degrees of freedom
  • Wavelet approximation
  • Volterra integral equations
  • Lane–Emden equation
  • s maximum principle
  • Linear multistep methods
  • Genocchi polynomials
  • Cacti plants
  • Observability
  • Interior layers
  • Image restoration
  • Lucas polynomials
  • Operational matrix of integration
  • Huxley equation
  • Hybrid methods
  • Fractional partial differential equation
  • Jacobian matrix
  • Second derivative methods
  • Metaheuristic optimization
  • Optimality conditions
  • Fractional order
  • Resource measure
  • Strain-based formulation
  • Priority rule
  • Differential Transform Method
  • variational iteration method
  • Bessel polynomials
  • Allen–Cahn equation
  • Adomian polynomials
  • Limit cycle
  • Linear stability
  • Upwind scheme
  • Eigenvalues
  • Green’s function
  • Krylov subspace methods
  • Integro-differential equations
  • Adaptive radius
  • Diffusion equation
  • Convection-diffusion problem
  • Staircasing effect
  • Chaos
  • Bernstein polynomial
  • Pontryagin Maximum
  • Numerical Simulations
  • Tension spline
  • Fractional diffusion equation
  • Fredholm integral equation
  • Vaccination reproduction number
  • Nonmonotone line search
  • Sensitivity
  • Multiple right-hand sides
  • Nonstandard finite difference scheme
  • Spatio-temporal Model
  • Liquidity
  • Finite Element Method
  • compartmental model
  • Stochastic differential equations
  • Power series method
  • Homotopy Analysis Method
  • Network
  • Optimization
  • controllability
  • Numerical evaluation
  • Approximate solution
  • Haar wavelet
  • Laplace Transform
  • Linear programming
  • Volterra integro-differential equations
  • Variable neighborhood search
  • Finite Element
  • matrix equation
  • Burgers equation
  • Numerical Method
  • Nonlocal boundary conditions
  • Sturm–Liouville problem
  • Operational matrix of derivative
  • Khalouta transform
  • Fuzzy theory
  • General linear methods
  • Acceleration parameter
  • Elzaki transform
  • E-commerce
  • fractional integro-differential equation
  • Environmental Transmission
  • delay differential equation
  • Nonmonotone technique
  • Finite difference scheme
  • Primal-dual algorithm
  • Duality
  • asymptotically stable
  • Chebyshev wavelets
  • Local discontinuous Galerkin method
  • Total variation
  • Sliding mode control
  • Jacobi polynomials
  • Reproducing kernel space
  • Higher-order strain field
  • Fractional-order model
  • Credit default swap (CDS)
  • Vector optimization
  • Interior layer
  • Best approximation
  • Reproduction number
  • Inverse Problem
  • Uncertainty
  • Bernstein polynomials
  • Approximation
  • Homotopy per- turbation method
  • Pontryagin’s Minimum Principle
  • Stability and convergence
  • Simu-lated annealing method
  • Generalized Laguerre polynomials
  • Second order cone program
  • Space-time scheme
  • A--stability
  • Modified hat functions
  • Nonlinear fractional-order Duffing equation
  • Laplace integral transforms
  • Interpolation problem
  • Series solution
  • Discrete-time optimal control problem with time-varying delay
  • integro-differential Barbashin equation
  • Diabetes