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First-Order Partial Differential Equations
1990In this chapter we study the solution of first-order partial differential equations of the ...
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Partial differential equations of the first-order
2000Although the major focus of these introductory volumes is on linear partial differential equations of second- and higher-order, it is instructive to examine some aspects of first-order partial differential equations. These can arise in a number of engineering applications including the study of waves in shallow water, traffic flow, gas dynamics ...
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Journal of Intelligent & Fuzzy Systems, 2017
Uncertain partial differential equation is a type of partial differential equation driven by Liu processes. This paper first provides two methods for solving the first order linear uncertain partial differential equation and the inverse uncertainty ...
Xin Gao, Lin Fu
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Uncertain partial differential equation is a type of partial differential equation driven by Liu processes. This paper first provides two methods for solving the first order linear uncertain partial differential equation and the inverse uncertainty ...
Xin Gao, Lin Fu
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Semicirculant Preconditioners for First-Order Partial Differential Equations
SIAM Journal on Scientific Computing, 1994This paper considers solving time-independent systems of first-order partial differential equations (PDEs) in two space dimensions using a conjugate gradient (CG)-like iterative method. The systems of equations are preconditioned using semicirculant preconditioners.
Kurt Otto, Sverker Holmgren
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First Order Stochastic Partial Differential Equations
1984Publisher Summary This chapter discusses the first order stochastic partial differential equations. The chapter studies the Cauchy problem of the first order stochastic partial differential equations of the parabolic type. The method of stochastic characteristic curve has been proposed to construct a solution of a suitable linear stochastic partial ...
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Well-Posed Problems for a Partial Differential Equation of Order $2m + 1$
, 1970containing the elliptic differential operator M of order 2m and the differential operator L of order
R. Showalter
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Partial Differential Equations of First Order and Contact Transformations
2004This chapter can to a large extent be read independently of the others and serves as an introduction to the theory of partial differential equations of first order and to Lie’s theory of contact transformations. Nevertheless the results presented here are closely related to the rest of the book, in particular to field theory (Chapter 6) and to Hamilton—
Stefan Hildebrandt, Mariano Giaquinta
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First-order partial differential equations in classical dynamics
American Journal of Physics, 2009Caratheodory’s classic work on the calculus of variations explores in depth the connection between ordinary differential equations and first-order partial differential equations. The n second-order ordinary differential equations of a classical dynamical system reduce to a single first-order differential equation in 2n independent variables.
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Partial Differential Equations of First Order and Their Applications to Physics
1999Geometric concepts and generalities partial differential equations of first order physical applications I nonlinear partial differential equations of first order physical applications II characteristic surfaces of linear partial differential equation of ...
G. López
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