The Numerical Solution of a Non-Characteristic Cauchy Probelm for a Parabolic Equation

Lecture Notes in Mathematics

2007 • 10,414 citations

Solutions of Ill-Posed Problems.

1978 • 8,291 citations

Solution of incorrectly formulated problems and the regularization method

1963 • 2,355 citations

A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

1962 • 2,001 citations

The use of integral transforms

1972 • 1,965 citations

Conduction of heat in solids

1947 • 1,636 citations

Ill-Posed Problems of Mathematical Physics and Analysis

1986 • 754 citations

The heat equation

1975 • 413 citations

Improperly Posed Problems in Partial Differential Equations

1975 • 344 citations

Analysis and solution of the ill-posed inverse heat conduction problem

1981 • 172 citations

A Bidiagonalization-Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems

1981 • 171 citations

A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems

1979 • 155 citations

Multidimensional Inverse Problems for Differential Equations

1970 • 91 citations

The Cauchy Problem for the Heat Equation

1967 • 87 citations

Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side

1980 • 71 citations

A Cauchy problem for the heat equation

1964 • 65 citations

A priori estimate for continuation of the solution of the heat equation in the space variable

1964 • 44 citations

The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem

1981 • 39 citations

Methods of determining the surface temperature of a body

1967 • 34 citations

The Noncharacteristic Cauchy Problem for a Class of Equations with Time Dependence. I. Problems in One Space Dimension

1981 • 33 citations

Numerical approximation of a Cauchy problem for a parabolic partial differential equation

1979 • 29 citations

On the Cauchy problem for the one-dimensional heat equation

1963 • 27 citations

A direct numerical procedure for the Cauchy problem for the heat equation

1976 • 27 citations

On the estimation of the boundary temperature on a sphere from measurements at its center

1982 • 23 citations

An Efficient Algorithm for the Regularization of Ill-Conditioned Least Squares Problems with Triangular Toeplitz Matrix

1984 • 20 citations

The Cauchy problem for a linear parabolic partial differential equation

1979 • 18 citations

Approximate solutions for Volterra integral equations of the first kind

1968 • 18 citations