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   431
Number of Contributors   850
Number of Reviewers   2500
Submission Count   1,618
Accept Count   417
Reject Count   976
Acceptance Rate   26%
Article View   13376931
PDF Download    7,046,714
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 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 analysis
  • Stability
  • error analysis
  • Operational matrix
  • Convergence
  • Convergence Analysis
  • Collocation method
  • Caputo fractional derivative
  • Radial basis functions
  • Optimal control problem
  • Mathematical model
  • Uniform convergence
  • Caputo derivative
  • Numerical simulation
  • Global convergence
  • Nonlinear equations
  • Genetic algorithm
  • sensitivity analysis
  • Hopf bifurcation
  • Global stability
  • Data Envelopment Analysis
  • Conjugate Gradient Method
  • Mathematical modeling
  • Covid-19
  • Unconstrained optimization
  • Singular perturbation
  • Singularly perturbed problem
  • Iterative method
  • Chebyshev polynomials
  • Basic reproduction number
  • Pontryagin maximum principle
  • Pontryagin’s maximum principle
  • Fractional differential equation
  • Constrained optimization
  • Fixed point
  • Bifurcation
  • Singular perturbation problem
  • order of convergence
  • Multi-Objective Optimization
  • Line search
  • Numerical Solution
  • boundary layer
  • Iterative methods
  • Volterra integro-differential equations
  • Optimal control problems
  • measure theory
  • Boundary value problems
  • Runge-Kutta methods
  • Machine learning
  • Singularly perturbed
  • fractional derivative
  • Partial differential equations
  • Time delay
  • Legendre wavelet
  • Fractional differential equations
  • Weak solution
  • simulation
  • Stochastic Gradient Descent
  • Operational matrices
  • Conformable fractional derivative
  • collocation
  • Image denoising
  • Accuracy
  • Particle swarm optimization
  • Volterra integral equation
  • Ordinary differential equation
  • Inverse source problem
  • Neural Network
  • Wave equation
  • finite difference method
  • Interpolation
  • Fractional order
  • Linear multistep methods
  • sine-Gordon equation
  • Adomian polynomials
  • Drilling degrees of freedom
  • s maximum principle
  • Staircasing effect
  • Lucas polynomials
  • Eigenvalues
  • Volterra integral equations
  • Image restoration
  • Observability
  • Bessel polynomials
  • Hybrid methods
  • Interior layers
  • Genocchi polynomials
  • Strain-based formulation
  • Resource measure
  • Huxley equation
  • Optimality conditions
  • Metaheuristic optimization
  • Krylov subspace methods
  • Second derivative methods
  • Nondominated
  • Penalty method
  • Fractional partial differential equation
  • Jacobian matrix
  • Differential Transform Method
  • Priority rule
  • Cacti plants
  • Limit cycle
  • Operational matrix of integration
  • variational iteration method
  • Linear stability
  • Shishkin mesh
  • Green’s function
  • Integro-differential equations
  • Upwind scheme
  • Adaptive radius
  • Numerical Simulations
  • Convection-diffusion problem
  • Bernstein polynomial
  • Pontryagin Maximum
  • Lane–Emden equation
  • Diffusion equation
  • Nonstandard finite difference scheme
  • Optimal control theory
  • Wavelet approximation
  • Chaos
  • Equilibrium condition
  • Allen–Cahn equation
  • Fredholm integral equation
  • Multiple right-hand sides
  • Reproducing kernel space
  • Sensitivity
  • Network
  • Nonmonotone line search
  • Higher-order strain field
  • Duality
  • Nonmonotone technique
  • Spatio-temporal Model
  • compartmental model
  • Stochastic differential equations
  • Bernstein polynomials
  • delay differential equation
  • Finite Element Method
  • Fractional diffusion equation
  • Acceleration parameter
  • Approximate solution
  • Haar wavelet
  • Variable neighborhood search
  • Operational matrix of derivative
  • Optimization
  • Linear programming
  • Burgers equation
  • Sturm–Liouville problem
  • matrix equation
  • Numerical Method
  • Nonlocal boundary conditions
  • Finite Element
  • Fuzzy theory
  • Uncertainty
  • Laplace Transform
  • General linear methods
  • controllability
  • Numerical evaluation
  • Elzaki transform
  • Khalouta transform
  • fractional integro-differential equation
  • Power series method
  • asymptotically stable
  • Homotopy Analysis Method
  • Finite difference scheme
  • Liquidity
  • Environmental Transmission
  • E-commerce
  • Primal-dual algorithm
  • Vaccination
  • Jacobi polynomials
  • Reproduction number
  • Total variation
  • Local discontinuous Galerkin method
  • Cost-effectiveness
  • Vaccination reproduction number
  • Best approximation
  • Sliding mode control
  • Interior layer
  • Fractional-order model
  • Inverse Problem
  • Credit default swap (CDS)
  • Vector optimization
  • Block methods
  • Chebyshev wavelets
  • Approximation
  • Tension spline
  • Matlab
  • Pontryagin’s Minimum Principle
  • Stability and convergence
  • Simu-lated annealing method
  • Generalized Laguerre polynomials
  • Second order cone program
  • Space-time scheme
  • A--stability
  • Laplace integral transforms
  • Nonlinear fractional-order Duffing equation
  • Modified hat functions
  • Interpolation problem
  • Series solution