Explore numerical methods for elliptic and parabolic partial differential equations with this graduate-level text. Perfect for mathematics, engineering, and physics students, this book offers an application-oriented introduction to finite difference, finite element, and finite volume methods. The second edition features enhanced chapters on adaptive methods, multilevel methods, convection-dominated problems, and mixed discretization. It provides a solid theoretical foundation and practical guidance, ideal for understanding and implementing finite element programming and developing robust numerical solutions for complex engineering and physics challenges. Discover comprehensive coverage and detailed illustrations in this essential resource for applied mathematics from The Bookish Owl.