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   2413
Submission Count   1,539
Accept Count   407
Reject Count   924
Acceptance Rate   26%
Article View   13,351,691
PDF Download    7,016,234
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
  • Radial basis functions
  • Caputo derivative
  • Numerical simulation
  • Mathematical model
  • Uniform convergence
  • Optimal control problem
  • Hopf bifurcation
  • Genetic algorithm
  • Nonlinear equations
  • Global convergence
  • Singular perturbation
  • sensitivity analysis
  • Covid-19
  • Mathematical modeling
  • Iterative method
  • Singularly perturbed problem
  • Unconstrained optimization
  • Conjugate Gradient Method
  • Constrained optimization
  • Pontryagin’s maximum principle
  • Data Envelopment Analysis
  • Basic reproduction number
  • order of convergence
  • Bifurcation
  • Singular perturbation problem
  • Global stability
  • Fixed point
  • Fractional differential equation
  • Multi-Objective Optimization
  • Chebyshev polynomials
  • Pontryagin maximum principle
  • Volterra integral equation
  • Singularly perturbed
  • Interpolation
  • Machine learning
  • Boundary value problems
  • Inverse source problem
  • Wave equation
  • Stochastic Gradient Descent
  • Partial differential equations
  • finite difference method
  • fractional derivative
  • Numerical Solution
  • Line search
  • Legendre wavelet
  • Conformable fractional derivative
  • Operational matrices
  • Weak solution
  • boundary layer
  • Time delay
  • Ordinary differential equation
  • Fractional differential equations
  • Neural Network
  • Runge-Kutta methods
  • Accuracy
  • measure theory
  • collocation
  • Particle swarm optimization
  • Iterative methods
  • Optimal control problems
  • simulation
  • Image denoising
  • variational iteration method
  • Strain-based formulation
  • Numerical evaluation
  • Homotopy Analysis Method
  • Integro-differential equations
  • asymptotically stable
  • Environmental Transmission
  • Chaos
  • Optimal control theory
  • Fractional-order model
  • Reproduction number
  • Lane–Emden equation
  • Optimality conditions
  • delay differential equation
  • Metaheuristic optimization
  • Approximate solution
  • Cacti plants
  • Convection-diffusion problem
  • Vector optimization
  • Shishkin mesh
  • Bessel polynomials
  • Genocchi polynomials
  • Wavelet approximation
  • Lucas polynomials
  • Interior layers
  • Volterra integral equations
  • Sturm–Liouville problem
  • Uncertainty
  • Khalouta transform
  • Drilling degrees of freedom
  • Vaccination reproduction number
  • E-commerce
  • Equilibrium condition
  • Spatio-temporal Model
  • Hybrid methods
  • fractional integro-differential equation
  • Power series method
  • Upwind scheme
  • Jacobi polynomials
  • Duality
  • Fredholm integral equation
  • Penalty method
  • Pontryagin Maximum
  • Approximation
  • Fractional diffusion equation
  • Tension spline
  • controllability
  • Eigenvalues
  • Bernstein polynomial
  • Green’s function
  • Reproducing kernel space
  • Liquidity
  • Higher-order strain field
  • Nonlocal boundary conditions
  • Network
  • Primal-dual algorithm
  • Linear stability
  • Allen–Cahn equation
  • Bernstein polynomials
  • Observability
  • Priority rule
  • Laplace Transform
  • Sliding mode control
  • Total variation
  • Resource measure
  • Interior layer
  • matrix equation
  • Differential Transform Method
  • Best approximation
  • Fractional partial differential equation
  • Finite difference scheme
  • Haar wavelet
  • sine-Gordon equation
  • Nondominated
  • Local discontinuous Galerkin method
  • Optimization
  • Numerical Simulations
  • Elzaki transform
  • Linear programming
  • Nonstandard finite difference scheme
  • Linear multistep methods
  • Limit cycle
  • Nonmonotone line search
  • Sensitivity
  • Finite Element
  • Chebyshev wavelets
  • Krylov subspace methods
  • Adaptive radius
  • Diffusion equation
  • Finite Element Method
  • General linear methods
  • Burgers equation
  • Staircasing effect
  • Inverse Problem
  • Operational matrix of integration
  • Huxley equation
  • Nonmonotone technique
  • Fractional order
  • Fuzzy theory
  • Multiple right-hand sides
  • Numerical Method
  • Adomian polynomials
  • Operational matrix of derivative
  • Stochastic differential equations
  • Variable neighborhood search
  • Image restoration
  • Second derivative methods
  • Volterra integro-differential equations
  • Credit default swap (CDS)
  • Decision Making Units (DMUs)
  • Splitting iteration method
  • Skew- Hermitian matrix
  • Hermitian matrix
  • semi-analytical solution
  • Normal matrix
  • Non-Hermitian matrix
  • Inverse heat conduction problem
  • MMPDE
  • Local time stepping refinement
  • polycyclic groups
  • Hybrid
  • Dynamic Programming
  • Moving mesh
  • Level contours
  • FC-groups
  • Level set function
  • Adaptive grid
  • soluble minimax groups
  • Dynamical system