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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
Oberwolfach Reports, 2014Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological disciplines. The applications described by these models include electromagnetics, continuum dynamics of solid media, and general ...
Bruno Després +3 more
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Computers & Mathematics with Applications, 2020
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Iñigo Arregui +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iñigo Arregui +3 more
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Bulletin of Mathematical Biology, 2019
Mathematical modeling has revealed the quantitative dynamics during the process of viral infection and evolved into an important tool in modern virology. Coupled with analyses of clinical and experimental data, the widely used basic model of viral dynamics described by ordinary differential equations (ODEs) has been well parameterized. In recent years,
Kitagawa, Kosaku +5 more
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Mathematical modeling has revealed the quantitative dynamics during the process of viral infection and evolved into an important tool in modern virology. Coupled with analyses of clinical and experimental data, the widely used basic model of viral dynamics described by ordinary differential equations (ODEs) has been well parameterized. In recent years,
Kitagawa, Kosaku +5 more
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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
2013Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological disciplines. The applications described by these models include electromagnetics, continuum dynamics of solid media, and general ...
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2011
In this paper we present a PDE formulation for the ratchet cap pricing problem. The underlying LIBOR interest rates are assumed to follow the LIBOR market model. For this PDE problem the existence and uniqueness of solution are obtained in the classical framework of uniformly parabolic PDEs in terms of a sequence of nested Cauchy prob- lems.
PASCUCCI, ANDREA +2 more
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In this paper we present a PDE formulation for the ratchet cap pricing problem. The underlying LIBOR interest rates are assumed to follow the LIBOR market model. For this PDE problem the existence and uniqueness of solution are obtained in the classical framework of uniformly parabolic PDEs in terms of a sequence of nested Cauchy prob- lems.
PASCUCCI, ANDREA +2 more
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This paper investigates the use of Laplace transforms to derive analytical solutions for one-dimensional heat-induced vibrations in damped elastic strings. The governing partial differential equation, incorporating both spatial and temporal dependencies with a damping term, is transformed into an ordinary differential equation in the Laplace domain ...
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2012
This work is concerned with a class of minimum effort problems for partial differentialequations, where the control cost is of L∞-type. Since this problem is non-differentiable, a regularizedfunctional is introduced that can be minimized by a superlinearly convergent semi-smooth Newtonmethod.
Clason, Christian +2 more
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This work is concerned with a class of minimum effort problems for partial differentialequations, where the control cost is of L∞-type. Since this problem is non-differentiable, a regularizedfunctional is introduced that can be minimized by a superlinearly convergent semi-smooth Newtonmethod.
Clason, Christian +2 more
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State-dependent Riccati equation feedback stabilization for nonlinear PDEs
Advances in Computational Mathematics, 2023Alessandro Alla +2 more
exaly