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   428
Number of Contributors   844
Number of Reviewers   2451
Submission Count   1,578
Accept Count   406
Reject Count   950
Acceptance Rate   26%
Article View   13,364,885
PDF Download    7,027,890
Time to Accept (Days)   109

 

=========================================================

Downloads:

Special issue infographic poster (PDF format)

Special issue infographic poster (JPG format)

Special issue call for papers (PDF format)

Special issue call for papers (JPG format)

=========================================================

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.

==============================================================================

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