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   2510
Submission Count   1,625
Accept Count   417
Reject Count   979
Acceptance Rate   26%
Article View   13380564
PDF Download    7,050,311
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
  • Stability analysis
  • error analysis
  • Operational matrix
  • Convergence
  • Convergence Analysis
  • Collocation method
  • Caputo fractional derivative
  • Mathematical model
  • Uniform convergence
  • Optimal control problem
  • Global convergence
  • Caputo derivative
  • Radial basis functions
  • Numerical simulation
  • Nonlinear equations
  • Hopf bifurcation
  • Genetic algorithm
  • sensitivity analysis
  • Singular perturbation
  • Data Envelopment Analysis
  • Unconstrained optimization
  • Mathematical modeling
  • Singularly perturbed problem
  • Global stability
  • Covid-19
  • Iterative method
  • Conjugate Gradient Method
  • Fixed point
  • Fractional differential equation
  • order of convergence
  • Constrained optimization
  • Pontryagin’s maximum principle
  • Basic reproduction number
  • Chebyshev polynomials
  • Singular perturbation problem
  • Pontryagin maximum principle
  • Bifurcation
  • Multi-Objective Optimization
  • Singularly perturbed
  • Wave equation
  • Interpolation
  • Partial differential equations
  • fractional derivative
  • Boundary value problems
  • Stochastic Gradient Descent
  • Volterra integral equation
  • finite difference method
  • Line search
  • measure theory
  • Machine learning
  • Particle swarm optimization
  • boundary layer
  • Image denoising
  • Volterra integro-differential equations
  • Legendre wavelet
  • Inverse source problem
  • Operational matrices
  • Conformable fractional derivative
  • simulation
  • Optimal control problems
  • Iterative methods
  • Time delay
  • Neural Network
  • Fractional differential equations
  • Runge-Kutta methods
  • collocation
  • Ordinary differential equation
  • Numerical Solution
  • Accuracy
  • Weak solution
  • Homotopy Analysis Method
  • Interior layer
  • Vaccination
  • asymptotically stable
  • Liquidity
  • Genocchi polynomials
  • Environmental Transmission
  • Khalouta transform
  • Fractional-order model
  • Jacobi polynomials
  • Approximate solution
  • fractional integro-differential equation
  • Reproduction number
  • Metaheuristic optimization
  • Spatio-temporal Model
  • Interior layers
  • Vaccination reproduction number
  • E-commerce
  • Lucas polynomials
  • Integro-differential equations
  • Vector optimization
  • Jacobian matrix
  • s maximum principle
  • Wavelet approximation
  • Acceleration parameter
  • Uncertainty
  • Volterra integral equations
  • Sturm–Liouville problem
  • Credit default swap (CDS)
  • Bessel polynomials
  • compartmental model
  • delay differential equation
  • Convection-diffusion problem
  • Shishkin mesh
  • Higher-order strain field
  • Upwind scheme
  • Equilibrium condition
  • Chaos
  • Fredholm integral equation
  • Duality
  • Power series method
  • Lane–Emden equation
  • Optimality conditions
  • Cacti plants
  • Optimal control theory
  • Pontryagin Maximum
  • Numerical evaluation
  • Fractional diffusion equation
  • Approximation
  • Cost-effectiveness
  • Tension spline
  • Drilling degrees of freedom
  • controllability
  • Reproducing kernel space
  • Allen–Cahn equation
  • Linear stability
  • Fractional order
  • Network
  • Operational matrix of derivative
  • Bernstein polynomials
  • Staircasing effect
  • Priority rule
  • Laplace Transform
  • General linear methods
  • Resource measure
  • Hybrid methods
  • Krylov subspace methods
  • Differential Transform Method
  • matrix equation
  • Fractional partial differential equation
  • Limit cycle
  • Finite difference scheme
  • Best approximation
  • Nondominated
  • Local discontinuous Galerkin method
  • Linear multistep methods
  • Optimization
  • Numerical Simulations
  • Linear programming
  • Nonstandard finite difference scheme
  • Haar wavelet
  • Nonmonotone line search
  • sine-Gordon equation
  • Finite Element
  • Sliding mode control
  • Chebyshev wavelets
  • Elzaki transform
  • Diffusion equation
  • Adaptive radius
  • Burgers equation
  • Total variation
  • Operational matrix of integration
  • Observability
  • Fuzzy theory
  • Huxley equation
  • Finite Element Method
  • Primal-dual algorithm
  • Nonlocal boundary conditions
  • Block methods
  • Multiple right-hand sides
  • Inverse Problem
  • Bernstein polynomial
  • Second derivative methods
  • Adomian polynomials
  • Nonmonotone technique
  • Numerical Method
  • Variable neighborhood search
  • Stochastic differential equations
  • Eigenvalues
  • Green’s function
  • Image restoration
  • Sensitivity
  • variational iteration method
  • Strain-based formulation
  • Penalty method
  • Two-phase method
  • Non-Archimedean
  • gap
  • Decision Making Units (DMUs)
  • Splitting iteration method
  • Ordered field
  • prediction
  • Skew- Hermitian matrix
  • Hermitian matrix
  • Normal matrix
  • Non-Hermitian matrix
  • semi-analytical solution
  • Dynamic Programming