Results 171 to 180 of about 54,046 (227)
Abstract In this article we propose new linear and nonlinear partial differential equations (PDEs) models for pricing American options and total value adjustment in the presence of counterparty risk. An innovative aspect comes from the consideration of stochastic spreads, which increases the dimension of the problem.
Iñigo Arregui+3 more
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High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
Partial 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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The model that we investigate here is motivated by the mitochondrial swelling process controlled by calcium ions, the spatial dynamics of which is described by degenerate diffusion.
Hermann J. Eberl+2 more
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Mathematical Analysis of a Non-Local Mixed ODE-PDE Model for Tumor Invasion and Chemotherapy
We present a new mathematical model for acid-mediated tumor invasion encompassing chemotherapy treatment. The model consists of a mixed ODE-PDE system with four differential equations, describing the spatio-temporal dynamics of normal cells, tumor cells, lactic acid concentration, and chemotherapy drug concentration.
Anderson L. A. de Araujo+2 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,
Yusuke Asai+8 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
Hybrid nanomaterials offer potential scope for increasing numerous novel applications when engineered to deliver availably functional properties. In the current assessment, a novel fractional constitutive relationship for buoyance‐driven flow and heat ...
Mumtaz Khan, A. Rasheed, M. S. Anwar
semanticscholar +1 more source
Hybrid nanomaterials offer potential scope for increasing numerous novel applications when engineered to deliver availably functional properties. In the current assessment, a novel fractional constitutive relationship for buoyance‐driven flow and heat ...
Mumtaz Khan, A. Rasheed, M. S. Anwar
semanticscholar +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc.
U. Farooq, Muzamil Hussain, Umer Farooq
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Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc.
U. Farooq, Muzamil Hussain, Umer Farooq
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
This proposed work aims to describe nonsimilar forced convection analysis for the flow of Maxwell nanofluids. The forced flow is commenced due to the stretching surface (SS) at an exponential rate.
Raheela Razzaq+2 more
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This proposed work aims to describe nonsimilar forced convection analysis for the flow of Maxwell nanofluids. The forced flow is commenced due to the stretching surface (SS) at an exponential rate.
Raheela Razzaq+2 more
semanticscholar +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
In this work, we present the impacts of melting heat transfer phenomena on the steady, laminar, incompressible, two‐dimensional magnetohydrodynamic (MHD) Carreau nanofluid flow towards the stretching sheet.
Zawar Khan, S. Zeb, Muhammad Yousaf
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In this work, we present the impacts of melting heat transfer phenomena on the steady, laminar, incompressible, two‐dimensional magnetohydrodynamic (MHD) Carreau nanofluid flow towards the stretching sheet.
Zawar Khan, S. Zeb, Muhammad Yousaf
semanticscholar +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2022
The proposed mathematical analysis intends to investigate the behavior of gyrotactic microorganisms to depict their significance in heat and mass transfer in unsteady magnetohydrodynamics (MHD) radiative Eyring–Powell nanofluid passing through a static ...
C. S. Reddy+3 more
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The proposed mathematical analysis intends to investigate the behavior of gyrotactic microorganisms to depict their significance in heat and mass transfer in unsteady magnetohydrodynamics (MHD) radiative Eyring–Powell nanofluid passing through a static ...
C. S. Reddy+3 more
semanticscholar +1 more source