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   423
Number of Contributors   832
Number of Reviewers   2415
Submission Count   1,542
Accept Count   407
Reject Count   925
Acceptance Rate   26%
Article View   13,354,198
PDF Download    7,018,813
Time to Accept (Days)   108

 

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

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