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1 - 9 of 9
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 Introduction to inverse problems for differential equations
Hasanoǧlu A., Romanov V., Springer International Publishing, New York, NY, 2017. 261 pp. Type: Book (978-3-319627-96-0)
Several mathematical problems in science, engineering, and technology are inverse problems. For example, inverse problem theory is often used in heat and mass transfer, imaging, hydrology, oceanography, and so on. In general, inverse p...
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Sep 12 2018 |
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An introduction to partial differential equations
Arrigo D., Morgan&Claypool Publishers, San Rafael, CA, 2018. 168 pp. Type: Book (978-1-681732-54-1)
Partial differential equations (PDEs) are used in several branches of engineering and science. For example, physical laws (like conservation of mass, momentum, and energy) model many physical, chemical, and biological processes. These ...
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Jul 27 2018 |
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Variational methods for the numerical solution of nonlinear elliptic problems
Glowinski R., SIAM, Philadelphia, PA, 2015. 482 pp. Type: Book (978-1-611973-77-8)
Partial differential equations (PDEs) arise in various branches of science and engineering. In fact, mathematical modeling of various problems in fluid dynamics and control theory leads to nonlinear partial differential equations of a ...
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May 18 2016 |
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Preconditioning and the conjugate gradient method in the context of solving PDEs
Málek J., Strakoš Z., SIAM, Philadelphia, PA, 2014. 114 pp. Type: Book (978-1-611973-83-9)
In general, most real-life problems are mathematically modeled by partial differential equations (PDEs). Indeed, it is very difficult to obtain analytical solutions to such problems; therefore, one seeks numerical approximate solutions...
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Jul 27 2015 |
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Physics and partial differential equations, volume 2 (2nd ed.)
Li T., Qin T., SIAM, Philadelphia, PA, 2014. 281 pp. Type: Book (978-1-611973-31-0)
Mathematical modeling of most of the problems arising in engineering and in the sciences results in differential equations. Depending on the number of independent variables, they are classified as ordinary or partial differential equat...
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Dec 15 2014 |
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The equilibrium state method for hyperbolic conservation laws with stiff reaction terms
Zhang B., Liu H., Chen F., Wang J. Journal of Computational Physics 263151-176, 2014. Type: Article
Zhang et al. propose a new fractional-step method for the numerical solution of advection equations with stiff source terms. In general, it is too difficult to obtain satisfactory numerical approximate solutions for stiff reaction prob...
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Oct 29 2014 |
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Fractal interpolation functions with variable parameters and their analytical properties
Wang H., Yu J. Journal of Approximation Theory 1751-18, 2013. Type: Article
A fractal interpolation function (FIF) f is a special type of continuous function that interpolates a given set of data {(xi, f(x...
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Dec 19 2013 |
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Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with Neumann boundary conditions
Ren J., Sun Z. Journal of Scientific Computing 56(2): 381-408, 2013. Type: Article
Fractional differential equations arise in various applied areas of science and engineering, for example, in the “modeling of anomalous diffusive and sub-diffusive systems, [the] description of fractional random walk, and [th...
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Dec 19 2013 |
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Spectral methods: algorithms, analysis and applications
Shen J., Tang T., Wang L., Springer Publishing Company, Incorporated, New York, NY, 2011. 486 pp. Type: Book (978-3-540710-40-0)
Differential equations arise in various branches of science and engineering, such as fluid and solid mechanics, biology, material sciences, economics, ecology, and computer science. Some well-known examples include the Navier-Stokes eq...
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Jan 10 2013 |
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