The numerical method of solving ordinary differential equations with the Cauchy initial condition
Wiesław W. Solak (1973)
Annales Polonici Mathematici
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Displaying similar documents to “A spectral regularization method for a Cauchy problem of the modified Helmholtz equation.”
The numerical method of solving ordinary differential equations with the Cauchy initial condition
Non-autonomous inhomogeneous boundary Cauchy problems and retarded equations.
Filali, M., Moussi, M. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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On Continuous Dependence, on Noncharacteristic Cauchy Data, for Level Lines of Solutions of the Heat Equation.
Paolo Manselli, Sergio Vessella (1991)
Forum mathematicum
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Cauchy's problem for systems of linear differential equations with distributional coefficients
J. Ligęza (1975)
Colloquium Mathematicae
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An inverse problem for biharmonic equation.
Ramm, A.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
Alexandre Janon, Maëlle Nodet, Clémentine Prieur (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present a reduced basis offline/online procedure for viscous Burgers initial boundary value problem, enabling efficient approximate computation of the solutions of this equation for parametrized viscosity and initial and boundary value data. This procedure comes with a fast-evaluated rigorous error bound certifying the approximation procedure. Our numerical experiments show significant computational savings, as well as efficiency of the error bound.
On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
Ashordia, M. (1997)
Memoirs on Differential Equations and Mathematical Physics
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On the Cauchy problem for the equation of one-dimensional non-stationary filtration with non-continuous initial data
Tadeusz Śliwa (1981)
Colloquium Mathematicae
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On the behaviour of generalized solutions of the Cauchy problem for essentially nonautonous quasilinear first order equations.
Yu G. Rykov (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Algorithms for direct obtaining Cauchy's solutions for systems of differential equations of higer order
M. Stojanović (1974)
Matematički Vesnik
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On the solution of inverse problems for generalized oxygen consumption
Denis Constales, Jozef Kačur (2001)
Applications of Mathematics
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We present the solution of some inverse problems for one-dimensional free boundary problems of oxygen consumption type, with a semilinear convection-diffusion-reaction parabolic equation. Using a fixed domain transformation (Landau’s transformation) the direct problem is reduced to a system of ODEs. To minimize the objective functionals in the inverse problems, we approximate the data by a finite number of parameters with respect to which automatic differentiation is applied. ...
The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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Finite difference approximation to the Cauchy problem for non-linear parabolic differential equations
P. Besala (1985)
Annales Polonici Mathematici
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