Results 171 to 180 of about 2,810 (199)
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Mathematical Analysis of a Non-Local Mixed ODE-PDE Model for Tumor Invasion and Chemotherapy
Acta Applicandae Mathematicae, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anderson L. A. de Araujo +2 more
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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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SIAM Journal on Mathematical Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Messoud A. Efendiev +2 more
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Messoud A. Efendiev +2 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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2020
The variability of the data and the incomplete knowledge of the true physics require the incorporation of randomness into the formulation of mathematical models. In this setting, the deterministic numerical methods cannot capture the propagation of the uncertainty from the inputs to the model output.
Calatayud, Julia +2 more
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The variability of the data and the incomplete knowledge of the true physics require the incorporation of randomness into the formulation of mathematical models. In this setting, the deterministic numerical methods cannot capture the propagation of the uncertainty from the inputs to the model output.
Calatayud, Julia +2 more
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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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Mathematical analysis of PDE models in combustion theory
Journal of Mathematical ChemistryVladimir Gutlyanskiǐ, Roman Taranets
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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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