From the contents Plenary - Accounting for Geological Boundaries for Simulation in Geostatistical Modeling of Multiple Rock Types (P. Larrondo and C.V. Deutsch) -- Data Integration using the Probability Perturbation Method (J. Caers) -- Spectral Component Geologic Modeling: A New Technology for Integrating Seismic Information at the Correct Scale (T. Yao, C. Calvert, G. Bishop, T. Jones, Y. Ma …
Comprehensive practice of sequence stratigraphy techniques and application -- Comprehensive practice of structure analysis and sedimentary facies study -- Comprehensive practice of reservoir prediction and evaluation -- Exploration and evaluation techniques of subtle reservoirs.This book covers exploration and evaluation practices for various types of complex reservoirs, and summarizes a series…
Introductory Chapter -- Laplace Operators on Riemannian Manifolds -- Lagrangian Formalism on Riemannian Manifolds -- Harmonic Maps from a Lagrangian Viewpoint -- Conservation Theorems -- Hamiltonian Formalism -- Hamilton-Jacobi Theory -- Minimal Hypersurfaces -- Radially Symmetric Spaces -- Fundamental Solutions for Heat Operators with Potentials -- Fundamental Solutions for Elliptic Operators …
Overview and Basic Facts -- Gaussian Processes and Related Structures -- Matching Theorems -- The Bernoulli Conjecture -- Families of distances -- Applications to Banach Space Theory.Author's Note: The material of this book has been reworked and expanded with a lot more detail and published in the author's 2014 book "Upper and Lower Bounds for Stochastic Processes" (Ergebnisse Vol. 60, ISBN 978…
Prologue: A journey to Rome -- The musician's son -- A gifted young Tuscan -- To Rome and the Jesuits -- A Surveyor of Inferno -- The spheres from the tower -- From Pisa to Padua -- Signs in the sky -- De Revolutionibus Orbium Coelestium -- Lecturer and designer -- A professor's commitments -- Modern physics is born -- A new star in an unchanging sky?- Drawing close to a court -- The balls fall…
Wavelet-Based Multiresolution Methods for Stationary PDEs and PDE-Constrained Control Problems -- On Approximation in Meshless Methods -- Theory and Applications of Smoothed Particle Hydrodynamics -- Efficient Implementation and Parallelization of Meshfree and Particle Methods—The Parallel Multilevel Partition of Unity Method.
Basic Tensor Algebra -- Tensor Spaces -- to Tensors -- Homogeneous Tensors -- Change-of-basis in Tensor Spaces -- Homogeneous Tensor Algebra: Tensor Homomorphisms -- Special Tensors -- Symmetric Homogeneous Tensors: Tensor Algebras -- Anti-symmetric Homogeneous Tensors, Tensor and Inner Product Algebras -- Pseudotensors; Modular, Relative or Weighted Tensors -- Exterior Algebras -- Exterior Alg…
Summary -- Background -- Fundamental Theorem -- Trudinger-Moser Inequality -- The Green’s Function -- Equilibrium States -- Blowup Analysis for Stationary Solutions -- Multiple Existence -- Dynamical Equivalence -- Formation of Collapses -- Finiteness of Blowup Points -- Concentration Lemma -- Weak Solution -- Hyperparabolicity -- Quantized Blowup Mechanism -- Theory of Dual Variation.This bo…
Field extensions -- Roots -- Galois theory -- A bit of group theory -- Applications -- Algebraic theory of differential equations.This unique textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibilit…
Infinite Galois Theory and Profinite Groups -- Valuations and Linear Disjointness -- Algebraic Function Fields of One Variable -- The Riemann Hypothesis for Function Fields -- Plane Curves -- The Chebotarev Density Theorem -- Ultraproducts -- Decision Procedures -- Algebraically Closed Fields -- Elements of Algebraic Geometry -- Pseudo Algebraically Closed Fields -- Hilbertian Fields -- The Cla…