Modeling and solution of stochastic inverse problems in mathematical physics

DOI10.1016/0895-7177(92)90118-5zbMath0755.60102OpenAlexW2022842418MaRDI QIDQ1200860

G. Teppati, Nicola Bellomo, Luigi Preziosi

Publication date: 16 January 1993

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(92)90118-5

zbMATH Keywords

nonlinear partial differential equationsinitial-boundary value problemsrandom fieldssolution techniques of inverse type problems

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Stochastic analysis (60H99)

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Cites Work

• On a class of nonlinear stochastic dynamical systems: Analysis of the transient behaviour
• Bellman-Adomian solutions of nonlinear inverse problems in continuum physics
• An inverse source problem for the heat equation
• Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito's type equations
• On the solution of a class of inverse evolution problems by a Bellman- Adomian method
• Multidimensional inverse problems and completeness of the products of solutions to PDE
• Random heat equation: Solutions by the stochastic adaptive interpolation method
• Numerical method for solving 3D inverse problems of geophysics
• Random differential equations in science and engineering
• The time evolution of random fields in stochastic continuum mechanics
• Inversion of nonlinear stochastic operators
• Sur la stabilité et la convergence de la méthode des pas fractionnaires
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
• Convergence of Adomian's Method
• Stochastic analysis
• A NONLINEAR INVERSE PHASE TRANSITION PROBLEM FOR THE HEAT EQUATION
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