What are the best books about "Numerical solutions of differential equations" . I am looking for a free / paid books or PDF resources.
I need the best books to get master degree. Thank you!
What are the best books about "Numerical solutions of differential equations" . I am looking for a free / paid books or PDF resources.
I need the best books to get master degree. Thank you!
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Numerical Analysis by Cheney and Kincaid is a pretty good survey of numerical mathematics in general, and includes the basics of ODE and PDE solution at a beginning graduate level.
Introduction to Numerical Methods in Differential Equations by Holmes is a more focused text, and as such is much shorter. There's no fluff here though; it gets right into solve ODEs in the first 2 chapters and PDEs in the remaining 4.
Finite Difference Methods by Leveque is another book focusing solely on numerical solution of ODEs and PDEs, but is much longer and more comprehensive. As the title implies, it has a heavy focus on finite difference methods.