This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.

Inhalt
SUSHI for a Bingham Flow.- Two-Phase Algorithm For Solving Vehicle Routing Problem with Time Windows.- Topological dynamic consistency of numerical methods for dynamical models in biosciences?.- Parameter Estimation Inspired by Temperature Measurements for a Chemotactic Model of Honeybee Thermoregulation.- On the Consistency and Convergence of Repeated Richardson Extrapolation.- Convergence Analysis of a Finite Volume Scheme for a Distributed Order Diffusion Equation.- SUSHI for a Non-Linear Time Fractional Diffusion Equation with a Time Independent Delay.- On the Numerical Simulation of Exponential Decay and Outbreak Data Sets Involving Uncertainties.- Rational approximation preconditioners for multiphysics problems.- Rational approximation preconditioners for multiphysics problems.- Analysis of Effective Properties of Poroelastic Composites with Surface Effects Dependingon Boundary Conditions in Homogenization Problems.- Ant Algorithm for GPS Surveying Problem with Fuzzy Pheromone Updating.- Covering a set of points with a minimum number of equal disks via simulated annealing.- Mathematical modelling of nonlinear heat conduction with relaxing boundary conditions.- Random Sequences in Vehicle Routing Problem.- A database of high precision trivial choreographies for the planar three-body problem.- Evaluation of the Effective Material Properties of Media with Voids Based on Numerical Homogenization and Microstructure Data.- Variable Neighborhood Search Approach to Community Detection Problem.- Simulation Investigations of Pyramidal Cells Layer Effect on Conscious Visual Perception.- On Decision Making Under Uncertainty.- An Inequality for Polynomials on the Standard Simplex.- A Theoretical Analysis on the Bound Violation Probability inDifferential Evolution Algorithm.- On the Extreme Zeros of Jacobi Polynomials.- Sensitivity Analysis of an Air Pollution Model Using Innovative Monte Carlo Methods in Calculating Multidimensional Integrals.- Demanded scale for modern numerical optimisation.- RMSD Calculations For Comparing Protein Three-Dimensional Structures.- On the Application of a Hierarchically Semi-Separable Compression for Space-Fractional Parabolic Problems with Varying Time Steps.- Optimized Stochastic Approaches Based on Sobol Quasirandom Sequences for Fredholm Integral Equations of the Second Kind.- Intuitionistic Fuzzy Knapsack Problem trough the Index Matrices Prism.- Simulation of the Mechanical Wave Propagation in a Viscoelastic Media with and without Stiff Inclusions.