A mathematical approach to research problems of science and technology : theoretical basis and developments in mathematical modeling / edited by Ryuei Nishii, Shin-ichiro Ei, Miyuki Koiso, Hiroyuki Ochiai, Kanzo Okada, Shingo Saito, Tomoyuki Shirai.

Springer eBooks

Part I Algebra -- Mathematics - As An Infrastructure of Technology and Science -- Remarks on Quantum Interaction Models by Lie Theory and Modular Forms via Non-Commutative Harmonic Oscillators -- Introduction to Public-Key Cryptography -- Code-Based Public-Key Encryption -- Gröbner bases and its applications -- Part II Geometry -- Stability Analysis for Variational Problems for Surfaces with Constraint -- Discrete Models of Isoperimetric Deformation of Plane Curves -- Computing Optimal Cycles of Homology Groups -- Singularity Theory of Differentiable Maps and Data Visualization -- Part III Analysis -- Mathematical Analysis for Pattern Formation Problems -- Models and Applications of Organism Transportation -- The Renormalization Group Method for Ordinary Differential Equations -- A Phase Field Approach to Mathematical Modeling of Crack Propagation -- Variational Methods in Differential Equations -- Part IV Probability and Statistics -- Finite Markov Chains and Markov Decision Processes -- Introduction to The Premium Principle Based on The Wang Transform -- Stochastic Process Models -- Signal Detection and Model Selection -- Regression Analysis and Its Development -- Stochastic Analytical Models in Mathematical Finance -- An Introduction to the Minimum Description Length Principle -- An Introduction to Ergodic Theory -- Part V Applied Mathematics -- Discrete Optimization: Network Flows and Matchings -- Strict Feasibility of Conic Optimization Problems -- Theory of Automata, Abstraction and Applications -- Markov Chain Monte Carlo Algorithms -- Modeling of Fluid Flows by Nonlinear Schrödinger Equation -- Financial Applications of Quasi-Monte Carlo Methods -- Pure Mathematics and Applied Mathematics are Inseparably intertwined - Observation of the Early Analysis of the Infinity -- High Performance Computing for Mathematical Optimization Problem -- Part VI Application of Mathematics -- Modeling of Head-Disk Interface for Magnetic Recording -- Non-Stationary Analysis of Blast Furnace Through Solution of Inverse Problem and Recurrence Plot -- Time-Periodic Nonlinear Steady Field Analysis -- Mathematical Models in First-Principles Calculations for Materials Science -- Mathematics and Manufacturing -the Symbolic Approach- -- Error Correcting Codes based on Probabilistic Decoding and Sparse Matrices.

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