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Smooth functional tempering for nonlinear differential equation models
2011
Statistics and computing
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This paper presents Smooth Functional Tempering, a new population Markov Chain Monte Carlo approach for posterior estimation of parameters. ...
The tempered approximations depend on relaxations of the solution to the differential equation model, reducing the need for estimating the initial system states and obtaining a numerical differential equation ...
Acknowledgements The authors would like to thank the two reviewers and editor for their helpful comments on this manuscript. ...
doi:10.1007/s11222-011-9234-3
fatcat:n6e6ltvl5vad7alo27vz2ckheu
Page 7570 of Mathematical Reviews Vol. , Issue 2003j
[page]
2003
Mathematical Reviews
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The author considers an infinite system of parabolic nonlinear differential-functional equations. ...
(PL-STSAM; Krakow)
Existence of solutions of nonlinear infinite systems of parabolic differential-functional equations. (English summary)
Math. Comput. Modelling 36 (2002), no. 4-5, 435-443. ...
Page 4271 of Mathematical Reviews Vol. , Issue 98G
[page]
1998
Mathematical Reviews
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|Baumann, Gerd] (D-ULM-MP; Ulm)
Symmetry analysis of differential equations with Mathematica. (English summary)
Algorithms and software for symbolic analysis of nonlinear systems.
Math. Comput. ...
The authors develop a theory of solutions for linear time-varying differential-algebraic equations (DAE’s). The main emphasis ts on solutions for discontinuous right-hand sides. ...
Page 9172 of Mathematical Reviews Vol. , Issue 2003m
[page]
2003
Mathematical Reviews
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Partial Differential Equations 27 (2002), no. 9-10, 1901-1951. ...
The functions f and g are nonlinear; / satisfies f € C? ...
Page 2587 of Mathematical Reviews Vol. , Issue 2003d
[page]
2003
Mathematical Reviews
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In the Coulomb law modelling the contact, the friction coefficient depends on the slip rate. Even for a smooth but decreasing function, the solution is not unique and shocks occur. ...
At least in the spatially one-dimensional case, this equation is a mathematical model for viscoelasticity. ...
Page 6990 of Mathematical Reviews Vol. , Issue 98K
[page]
1998
Mathematical Reviews
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Differential Equations 142 (1998), no. 1, 78-96. ...
{For the entire collection see MR 98i:00027.}
35 PARTIAL DIFFERENTIAL EQUATIONS
98k:35120 35L60 35D05
Panovy, E. Yu. ...
Page 5826 of Mathematical Reviews Vol. , Issue 2001H
[page]
2001
Mathematical Reviews
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The authors study the long-time behaviour of the solution of a class of nonlinear partial differential equations which model the dynamics of phase transitions in van der Waals fluid. ...
(F-ROUEN-ESA; Mont-Saint-Aignan) Existence of a solution for a nonlinear system in thermoviscoelasticity. (English summary) Adv. Differential Equations 5 (2000), no. 10-12, 1221-1252. ...
Page 2447 of Mathematical Reviews Vol. , Issue 86f
[page]
1986
Mathematical Reviews
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The ideas of viscosity solutions for first-order partial differential
equations are applied here to obtain some representation formulas
for solutions in terms of differential games. ...
The model prob- lem is the first-order fully nonlinear pde in the bounded domain Q, u+H(z, Du) = 0 with u = g on the boundary of Q. ...
Page 263 of Mathematical Reviews Vol. , Issue 99a
[page]
1991
Mathematical Reviews
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Differential Equations 144 (1998), no. 1, 99-169. ...
The level sets evolve according to a given geometric law of motion, which allows u to be realized as a solution of a nonlinear par- tial differential equation. ...
Residual delay maps unveil global patterns of atmospheric nonlinearity and produce improved local forecasts
1999
Proceedings of the National Academy of Sciences of the United States of America
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Finally, we show that this nonlinear feature is weaker in a well regarded numerical forecast model (European Centre for Medium-Range Forecasts) because small-scale temporal and spatial variation is smoothed ...
Nonlinearity is weak and largely lacking in tropical and subtropical sites and increases rapidly into the temperate regions where the time series also appear to be much noisier. ...
These RDMs are calculated for a data set with 3-hour samples.
Fig. Fig. 9. Degradation of nonlinearity as a function of spatial averaging. ...
doi:10.1073/pnas.96.25.14210
pmid:10588685
pmcid:PMC24416
fatcat:z4ilygfojzchnjzzs42kqs4omm
Page 4917 of Mathematical Reviews Vol. , Issue 97H
[page]
1997
Mathematical Reviews
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This paper could be useful for someone working in the area of gasdynamics and partial differential equations. V. D. ...
A free energy
functional E[u,u;] = fy (4(u:)? + W(ux) + 4u?) dx is associated to this equation as a Lyapunov function. ...
Numerical Computation of Wave Breaking Times
2015
SIAM Undergraduate Research Online
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The time of nonlinear wave collapse is computed numerically for the Hopf equation. ...
This is done by first solving the differential equation with a finite difference method. Then, to compensate for numerical error, a moving average method is developed to refine the energy data. ...
Hopf Equation The Hopf equation is a simple prototype model for nonlinear wave breaking and one-dimensional turbulence. ...
doi:10.1137/15s013764
fatcat:l3m32xt23ncmhmt4qyc3mjqbhm
Page 4881 of Mathematical Reviews Vol. , Issue 2003g
[page]
2003
Mathematical Reviews
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Trenogin, Computation of one-parametric families of solutions of nonlinear equations (727-735); V. G. Vetekha, Parameter continuation method for ordinary differential equations (737-742); E. ...
Naumkin, Analytic smoothing effects for nonlocal nonlinear Schrédinger equations in two space dimen- sions (635-641); Gen Nakamura [Gen Nakamura’ ], Sabrou Saitoh [Saburou Saitoh] and Admi Syarif, Representations ...
FCAA related news, events and books (FCAA–volume 19–6–2016)
2016
Fractional Calculus and Applied Analysis
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equations etc. ...
fractals appear both in natural sciences, such as geophysics, crystallography, astronomy, biology, chemistry, bioinformatics and in different branches of mathematics: number theory, geometry, theory of differential ...
Planned sessions: -Functional Analysis and Operator Theory; -Function Theory and Approximation Theory; -Differential Equations and Mathematical Physics (Chair -Vladislav V. ...
doi:10.1515/fca-2016-0070
fatcat:sowwbj2rq5dcvbwugy5sve2h24
Page 406 of Mathematical Reviews Vol. , Issue 95a
[page]
1995
Mathematical Reviews
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(RS-AOSSI-PF; Yakutsk)
Modification of a numerical scheme for solving a multidimensional nonlinear parabolic equation by the splitting method. (Russian. Russian summary)
Model. ...
Summary: “In this paper the author considers the first boundary value problem for the nonlinear equation u,— Au” = au™ in Q, a smooth bounded domain in R" with the zero lateral boundary condition and with ...
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