Numerical Algorithms for the Parametric Continuation of Stiff ODEs Deriving from the Modeling of Combustion with Detailed Chemical Mechanisms -- Stability Analysis of DESA Optimization Algorithm -- Are Humans Bayesian in the Optimization of Black-box Functions -- A New Syntax for Diagrammatic Logic: a Generic Figures Approach -- Objective and Violation Upper Bounds on a DIRECT-Filter Method for Global Optimization -- The Approximate Synthesis of Optimal Control for Heterogeneous Discrete Systems with Intermediate Criteria -- Modelling Climate Changes with Stationary Models: Is It Possible or Is It a Paradox -- Differential Equations and Uniqueness Theorems for the Generalized Attenuated Ray Transforms of Tensor Fields -- Multiextremal Optimization in Feasible Regions with Computable Boundaries on the Base of the Adaptive Nested Scheme -- On Polyhedral Estimates of Reachable Sets of Discrete-Time Systems with Uncertain Matrices and Integral Bounds on Additive Terms -- Numerical Simulation of Hyperbolic Conservation Laws Using High Resolution Schemes with the Indulgence of Fuzzy Logic -- Methodology for Interval-Valued Matrix Games with 2-Tuple Fuzzy Linguistic Information -- Set-Membership Computation of Integrals with Uncertain Endpoints -- Epidemic Spreading Curing Strategy over Directed Networks -- Learning Aerial Image Similarity using Triplet Networks -- In the Quest for Invariant Structures through Graph Theory, Groups and Mechanics: Methodological Aspects in the History of Applied Mathematics -- Generalizations of the Intermediate Value Theorem for Approximating Fixed Points and Zeros of Continuous Functions -- Modelling Population Size Using Horvitz-Thompson Approach Based on the Zero-truncated Poisson Lindley Distribution -- Numerical Analysis of the Model of Optimal Consumption and Borrowing with Random Time Scale -- Short papers -- Conditions of the Stability Preservation under Discretization of a Class of Nonlinear Time-Delay Systems -- Numerical Investigation of Natural Rough-Bed Flow -- A Dynamic Precision Floating-Point Arithmetic based on the Infinity Computer Framework -- Numerical Strategies for Solving Multiparameter Spectral Problems -- Algorithms of 3D Wind Field Reconstructing by Lidar Remote Sensing Data -- Stationarity Condition for Nonsmooth MPVCs with Constraint Set -- Molecular Dynamics Performance Evaluation with Modern Computer Architecture -- Artificial Neural Networks Training Acceleration through Network Science Strategies -- Grossone Methodology for Lexicographic Mixed-Integer Linear Programming Problems -- Infinite Games on Finite Graphs using Grossone -- A Novel Geometric Approach to the Problem of Multidimensional Scaling -- A Simulink-Based Infinity Computer Simulator and Some Applications -- Generalizing Pure and Impure Iterated Prisoner's Dilemmas to the Case of Infinite and Infinitesimal Quantities -- Multidimensional Global Search Using Numerical Estimations of Minimized Function Derivatives and Adaptive Nested Optimization Scheme -- 2-Approximation Polynomial-Time Algorithm for a Cardinality-Weighted 2-Partitioning Problem of a Sequence -- Exact Linear-Time Algorithm for Parameterized K-Means Problem with Optimized Number of Clusters in the 1D Case -- Polynomial-Time Approximation Scheme for a Problem of Searching for the Largest Subset with the Constraint on Quadratic Variation -- On a Comparison of Several Numerical Integration Methods for Ordinary Systems of Differential Equations -- On Acceleration of Derivative-Free Univariate Lipschitz Global Optimization Methods -- Numerical Simulation of Ski-Jump Hydraulic Behavior -- On Linear Spline Wavelets with Shifted Supports -- An Online Learning Approach to a Multi-player N-armed Functional Bandit -- The Singular Value Decomposition of the Operators of the Dynamic Ray Transforms Acting on 2D Vector Fields -- Numerical Investigation into a Combined Ecologically Pure Plasma-Vortex Generator of Hydrogen and Thermal Energy -- Computer Modeling of Electrochemical Impedance Spectra forDefected Phospholipid Membranes: Finite Element Analysis -- A Compact Filter Regularization Method for Solving Sideways Heat Equation -- Acceleration of Global Search by Implementing Dual Estimates for Lipschitz Constant -- The Method of Approximate Inverse in Slice-by-slice Vector Tomography Problems -- Computational Fluid Dynamics Methods for Wind Resources Assesment -- On Stationary Points of Distance Depending Potentials -- A Partition Based Bayesian Multi-objective Optimization Algorithm -- Problem Statement for Preparing a Single Batch of End Product Under Uncertainty.

The two-volume set LNCS 11973 and 11974 constitute revised selected papers from the Third International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2019, held in Crotone, Italy, in June 2019. This volume, LNCS 11974, consists of 19 full and 32 short papers chosen among regular papers presented at the the Conference including also the paper of the winner (Lorenzo Fiaschi, Pisa, Italy) of The Springer Young Researcher Prize for the best NUMTA 2019 presentation made by a young scientist. The papers in part II explore the advanced research developments in such interconnected fields as local and global optimization, machine learning, approximation, and differential equations. A special focus is given to advanced ideas related to methods and applications using emerging computational paradigms.