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   424
Number of Contributors   835
Number of Reviewers   2425
Submission Count   1,559
Accept Count   406
Reject Count   935
Acceptance Rate   26%
Article View   13,357,985
PDF Download    7,022,704
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 analysis
  • Stability
  • error analysis
  • Operational matrix
  • Convergence
  • Collocation method
  • Convergence Analysis
  • Caputo fractional derivative
  • Optimal control problem
  • Uniform convergence
  • Mathematical model
  • Caputo derivative
  • Radial basis functions
  • Numerical simulation
  • Nonlinear equations
  • Genetic algorithm
  • Hopf bifurcation
  • Global convergence
  • Iterative method
  • Mathematical modeling
  • Unconstrained optimization
  • Covid-19
  • Conjugate Gradient Method
  • sensitivity analysis
  • Singularly perturbed problem
  • Singular perturbation
  • Basic reproduction number
  • Pontryagin maximum principle
  • Chebyshev polynomials
  • Constrained optimization
  • Pontryagin’s maximum principle
  • Fractional differential equation
  • Bifurcation
  • Global stability
  • Singular perturbation problem
  • order of convergence
  • Fixed point
  • Data Envelopment Analysis
  • Multi-Objective Optimization
  • boundary layer
  • Runge-Kutta methods
  • Numerical Solution
  • Singularly perturbed
  • Interpolation
  • measure theory
  • Boundary value problems
  • Particle swarm optimization
  • Weak solution
  • Optimal control problems
  • fractional derivative
  • Machine learning
  • Iterative methods
  • Partial differential equations
  • Time delay
  • Accuracy
  • Line search
  • Operational matrices
  • Conformable fractional derivative
  • simulation
  • Ordinary differential equation
  • Fractional differential equations
  • Stochastic Gradient Descent
  • Neural Network
  • collocation
  • Legendre wavelet
  • Volterra integral equation
  • Inverse source problem
  • Wave equation
  • Image denoising
  • finite difference method
  • Adomian polynomials
  • Linear stability
  • Optimality conditions
  • Nondominated
  • Equilibrium condition
  • Wavelet approximation
  • Huxley equation
  • Drilling degrees of freedom
  • Volterra integral equations
  • Lane–Emden equation
  • Staircasing effect
  • Fractional order
  • Cacti plants
  • Genocchi polynomials
  • Eigenvalues
  • Image restoration
  • Observability
  • Lucas polynomials
  • Hybrid methods
  • Operational matrix of integration
  • Bessel polynomials
  • Priority rule
  • Fractional partial differential equation
  • Second derivative methods
  • Penalty method
  • sine-Gordon equation
  • Differential Transform Method
  • Strain-based formulation
  • Resource measure
  • Interior layers
  • variational iteration method
  • Allen–Cahn equation
  • Shishkin mesh
  • Krylov subspace methods
  • Green’s function
  • Limit cycle
  • Tension spline
  • Integro-differential equations
  • Convection-diffusion problem
  • Adaptive radius
  • Inverse Problem
  • Diffusion equation
  • Bernstein polynomial
  • Chaos
  • Optimal control theory
  • Linear multistep methods
  • Numerical Simulations
  • Approximation
  • Vaccination reproduction number
  • Reproducing kernel space
  • Nonstandard finite difference scheme
  • Multiple right-hand sides
  • Pontryagin Maximum
  • Nonmonotone line search
  • Fredholm integral equation
  • Finite Element Method
  • Duality
  • Network
  • Homotopy Analysis Method
  • Power series method
  • Upwind scheme
  • delay differential equation
  • Nonmonotone technique
  • Sensitivity
  • Optimization
  • controllability
  • Numerical evaluation
  • Approximate solution
  • Operational matrix of derivative
  • Haar wavelet
  • Khalouta transform
  • Numerical Method
  • Linear programming
  • Volterra integro-differential equations
  • Laplace Transform
  • Finite Element
  • matrix equation
  • Burgers equation
  • Nonlocal boundary conditions
  • Uncertainty
  • Sturm–Liouville problem
  • Variable neighborhood search
  • Bernstein polynomials
  • Elzaki transform
  • E-commerce
  • fractional integro-differential equation
  • Fuzzy theory
  • General linear methods
  • Primal-dual algorithm
  • Environmental Transmission
  • asymptotically stable
  • Finite difference scheme
  • Liquidity
  • Spatio-temporal Model
  • Total variation
  • Sliding mode control
  • Local discontinuous Galerkin method
  • Jacobi polynomials
  • Vector optimization
  • Fractional-order model
  • Credit default swap (CDS)
  • Higher-order strain field
  • Fractional diffusion equation
  • Best approximation
  • Stochastic differential equations
  • Reproduction number
  • Interior layer
  • Chebyshev wavelets
  • Metaheuristic optimization
  • Saddle point problems
  • Matlab
  • Successive quadratic programming
  • Homotopy per- turbation method
  • Pontryagin’s Minimum Principle
  • Bi-level programming problem
  • Fuzzy approximation
  • Simu-lated annealing method
  • Generalized Laguerre polynomials
  • Stability and convergence
  • A--stability
  • Modified hat functions
  • Nonlinear fractional-order Duffing equation
  • Proximal operator
  • Caputo–Fabrizio derivative operator
  • Laplace integral transforms
  • Interpolation problem
  • Second order cone program
  • Diabetes
  • Computer graphics