The Resource Probability and Partial Differential Equations in Modern Applied Mathematics, edited by Edward C. Waymire, (electronic resource)

Probability and Partial Differential Equations in Modern Applied Mathematics, edited by Edward C. Waymire, (electronic resource)

Label
Probability and Partial Differential Equations in Modern Applied Mathematics
Title
Probability and Partial Differential Equations in Modern Applied Mathematics
Statement of responsibility
edited by Edward C. Waymire
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
"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 research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations that arise as deterministic models allows one to exploit the power of stochastic calculus and probabilistic limit theory in the analysis of deterministic problems, as well as to offer new perspectives on the phenomena for modeling purposes. There is also a growing appreciation of the role for the inclusion of stochastic effects in the modeling of complex systems. This has led to interesting new mathematical problems at the interface of probability, dynamical systems, numerical analysis, and partial differential equations. This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical systems approaches and numerical analysis for mathematical modeling in the sciences and engineering
Member of
Is Subseries of
Dewey number
  • 517
  • 518
  • 519.2
  • 519.2/3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
tDhJzW4oDDI
Language note
English
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Waymire, Edward C.
Series statement
The IMA Volumes in Mathematics and its Applications,
Series volume
140
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Mathematics
  • Distribution (Probability theory
  • Partial Differential Equations
  • Applications of Mathematics
  • Probability Theory and Stochastic Processes
Label
Probability and Partial Differential Equations in Modern Applied Mathematics, edited by Edward C. Waymire, (electronic resource)
Instantiates
Publication
Note
"Contains a selection of articles presented at 2003 IMA Summer Program with the same title"--Foreword
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (271 p.)
Form of item
online
Isbn
9786613250742
Media category
computer
Media type code
c
Other control number
10.1007/978-0-387-29371-4
Specific material designation
remote
System control number
  • (CKB)2670000000031812
  • (EBL)763352
  • (OCoLC)649397421
  • (SSID)ssj0000450157
  • (PQKBManifestationID)11289670
  • (PQKBTitleCode)TC0000450157
  • (PQKBWorkID)10443341
  • (PQKB)11031710
  • (DE-He213)978-0-387-29371-4
  • (MiAaPQ)EBC763352
  • (EXLCZ)992670000000031812
Label
Probability and Partial Differential Equations in Modern Applied Mathematics, edited by Edward C. Waymire, (electronic resource)
Publication
Note
"Contains a selection of articles presented at 2003 IMA Summer Program with the same title"--Foreword
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2005.
Extent
1 online resource (271 p.)
Form of item
online
Isbn
9786613250742
Media category
computer
Media type code
c
Other control number
10.1007/978-0-387-29371-4
Specific material designation
remote
System control number
  • (CKB)2670000000031812
  • (EBL)763352
  • (OCoLC)649397421
  • (SSID)ssj0000450157
  • (PQKBManifestationID)11289670
  • (PQKBTitleCode)TC0000450157
  • (PQKBWorkID)10443341
  • (PQKB)11031710
  • (DE-He213)978-0-387-29371-4
  • (MiAaPQ)EBC763352
  • (EXLCZ)992670000000031812

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