Engineering: Numerical Methods

Chalkboard with research diagrams and theories.
The Journal of Engineering: Numerical Methods is dedicated to publishing high-quality, peer-reviewed research that advances the development, analysis, and application of numerical methods for solving complex engineering problems. The journal provides a comprehensive platform for contributions that improve computational efficiency, accuracy, and reliability across various engineering disciplines.

Research Areas

The journal serves engineers, applied mathematicians, computational scientists, and researchers working to model, simulate, and analyze complex systems using advanced numerical techniques. Submissions that present innovative algorithms, rigorous validations, and practical applications with interdisciplinary relevance are highly encouraged.

Finite element, finite volume, and finite difference methods
Numerical linear and nonlinear algebra
Computational fluid dynamics (CFD)
Numerical methods in heat and mass transfer
Multiphysics and multiscale modeling techniques
Mesh generation, adaptivity, and refinement strategies
Stability, convergence, and error analysis of numerical schemes
Optimization algorithms and inverse problems
Stochastic and probabilistic numerical methods
Numerical techniques for structural and solid mechanics
High-performance computing and parallel algorithms
Numerical modeling of dynamic systems and control processes
Scientific computing and algorithm development
Numerical methods in electromagnetics and wave propagation
Applications in geomechanics, biomechanics, and materials science
Error Analysis and Numerical Stability
Matrix Computations and Eigenvalue Problems
Iterative and Direct Solvers
Mesh Generation and Adaptive Methods
Finite Element Method (FEM) Applications
Finite Difference and Finite Volume Techniques
Spectral and Pseudospectral Methods
Numerical Integration and Differentiation
Nonlinear System Solvers
Optimization Algorithms and Applications
Parallel and Distributed Numerical Algorithms
Computational Methods for Fluid Mechanics
Numerical Techniques for Heat Transfer Problems
Stochastic Numerical Methods
Sensitivity and Uncertainty Quantification
Simulation of Multiphysics Systems
Model Reduction and Surrogate Modeling
Numerical Algorithms for Big Data
High Performance Scientific Computing

The scope includes, but is not limited to

Development and analysis of numerical algorithms
Approximation theory and error estimation
Linear and nonlinear system numerical solutions
Finite element and finite difference modeling and applications
Numerical methods for partial and ordinary differential equations
Computational simulation for engineering and physics
Optimization techniques for numerical problems
High performance computing for scientific calculations
Stability, convergence and computational efficiency studies
Numerical methods in fluid dynamics and heat transfer
Uncertainty quantification and sensitivity methods
Mesh generation and adaptive refinement techniques
Numerical modeling for multiphysics phenomena
Data-driven numerical and hybrid computational approaches
Parallel numerical solvers and distributed computation
Numerical tools for control, dynamics and systems analysis
Applications of numerical mathematics in real-world engineering