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   40
Number of Articles   429
Number of Contributors   848
Number of Reviewers   2478
Submission Count   1,602
Accept Count   418
Reject Count   965
Acceptance Rate   26%
Article View   13371123
PDF Download    7,036,682
Time to Accept (Days)   109

 

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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 17, Issue 1 - Serial Number 40, Winter 2027 (IN PROGRESS) 

Understanding the impact of vaccination on Omicron variants

Pages 109-144

10.22067/ijnao.2026.98939.1878

Govind Prasad Sahu, Amit Singh Thakur, Chhatrpal Singh Sikawar, Harkaran Singh

Modeling the transmission dynamics of meningococcal meningitis under hospitalization effects

Pages 177-216

10.22067/ijnao.2026.98719.1868

Idowu Oluwarimi Joshua, Kiruthika K, Mehmet Gümüş, Ali Raza, Chandrakumar E, Jeeva N

Keywords Cloud

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