Probability and Partial Differential Equations in Modern Applied Mathematics

"Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics resear...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Waymire, Edward C. (Επιμελητής έκδοσης), Duan, Jinqiao (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2005.
Σειρά:The IMA Volumes in Mathematics and its Applications, 140
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Nonnegative Markov Chains with Applications
  • Phase Changes with Time and Multi-Scale Homogenizations of a Class of Anomalous Diffusions
  • Semi-Markov Cascade Representations of Local Solutions to 3-D Incompressible Navier-Stokes
  • Amplitude Equations for Spdes: Approximate Centre Manifolds and Invariant Measures
  • Enstrophy and Ergodicity Of Gravity Currents
  • Stochastic Heat and Burgers Equations and Their Singularities
  • A Gentle Introduction to Cluster Expansions
  • Continuity of the Itô-Map for Holder Rough Paths with Applications to the Support Theorem in Holder Norm
  • Data-Driven Stochastic Processes in Fully Developed Turbulence
  • Stochastic Flows on the Circle
  • Path Integration: Connecting Pure Jump and Wiener Processes
  • Random Dynamical Systems in Economics
  • A Geometric Cascade for the Spectral Approximation of the Navier-Stokes Equations
  • Inertial Manifolds for Random Differential Equations
  • Existence and Uniqueness of Classical, Nonnegative, Smooth Solutions of a Class of Semi-Linear Spdes
  • Nonlinear Pde’s Driven by Lévy Diffusions and Related Statistical Issues.